Answer:
x=3, y=2
Step-by-step explanation:
First Add both equations
3x-y=7 ---1
x+y=5 ---2
----------
so we get, 4x=12
so x=3
Now plug x back into equation 2 so we get y=2
Step-by-step explanation:
that means we optionally multiply one or both equations with some factors, so that one variable term has the same coefficient in both equations but with different signs.
and then we add both equations giving us one equation in the other variable, which we can solve.
and then we use that with any of the original equations to solve for the first variable.
in this case we don't need the multiplication step, as the terms in y have already the same coefficient (1) with different signs.
so, we add both equations
3x - y = 7
+ x + y = 5
------------------
4x 0 = 12
4x = 12
x = 12/4 = 3
x + y = 5
3 + y = 5
y = 5 - 3 = 2
Rewrite using a single positive exponent.
6^5\6^-2
Answer:
[tex] \frac{ {6}^{5} }{ {6}^{ - 2} } = {6}^{5 - ( - 2))} = {6}^{5 + 2} = {6}^{7} [/tex]
Kayla is holding a bunch of cards in her hand from a standard deck of playing cards. Kayla’s hand of cards contain 6 spades, 7 hearts, 5 diamonds, and 2 clubs. Determine the probability, in decimal form, of randomly selecting a red card (hearts or diamonds) from Kayla’s hand.
Answer:
12/20 = 0.6
Step-by-step explanation:
The total number of cards in Kayla's hand is:
6 (spades) + 7 (hearts) + 5 (diamonds) + 2 (clubs) = 20
The number of red cards (hearts or diamonds) in Kayla's hand is:
7 (hearts) + 5 (diamonds) = 12
Therefore, the probability of randomly selecting a red card from Kayla's hand is:
12/20 = 0.6
Answer: 0.6
Step-by-step explanation: you add the total amount of cards she has which is 20(6+7+5+2) then the amount of hearts or diamonds is 7+5 for hearts and diamonds, which is =12 so the amount of hearts and diamonds divided by the total amount of cards, 12/20 which is 6/10 when divided by 2, 6/10 is 0.6, if you want to go further 6/10 can be broken down to 3/5 which is also 0.6
Divide f(x) by d(x). Your answer
should be in the following format:
f(x) = Q(x)
-
f(x)/d(x)= −2x³ + 15x² − x + 10
x - 7
R(x) = [?]
Answer:
The quotient is Q(x) = -2x² + x + 6 and the remainder is R(x) = 52.
Step-by-step explanation:
-2x² + x + 6
------------------------
x - 7 | -2x³ + 15x² - x + 10
-(-2x³ + 14x²)
---------------
x² - x
-(x² - 7x)
---------
6x + 10
-(6x - 42)
----------
52
Select the correct texts.
A survey was conducted regarding level of education and income. The results of the survey are shown in the table below. Tiffany is a career
counselor. Using the data in the table, she makes conclusions by calculating probabilities related to a randomly selected person from the survey.
Education Level
High School Diploma
Bachelor's Degree
Master's Degree
<$40,000
51
24
3
Total
78
What can Tiffany conclude from the data?
Income
$40,000-$60,000
19
40
22
81
$60,000 Total
76
81
73
230
6
17
48
71
Given a person has only a high school diploma, they are most likely to have an income less than $40,000.
Given a person has only a high school diploma, they are most likely to have an income greater than $60,000.
Given a person has an income greater than $60,000, it is most likely that their highest level of education is a high school diploma
Given a person has an income greater than $60,000, it is most likely that their highest level of education is either a Bachelor's or Master's degree.
The correct answer is that if someone simply gets a high school certificate, their salary is most likely to make less than $40,000.
What exactly is a source of income?In general, the phrase "income" refers to the sum of money, assets, and other transfers that are worth something obtained over a predetermined period period of time as an exchange for goods or services.
Only having completed high school:
51>24>3
Therefore, it is highly likely that they make less than $40,000.
Has a salary of at least 60,000.
6<17<48
Therefore, a Master's degree is most likely their greatest level of education.
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Tomorrow is Sandra's family reunion, so Sandra and her dad are making their famous chocolate beet cake. At the grocery store, Sandra puts some beets on the scale. The recipe calls for only 1 1/4 pounds of beets, so Sandra removes 1/2 of a pound of beets from the scale. Now she has exactly what she needs for the cake
Answer:
If the recipe calls for 1 1/4 pounds of beets and Sandra removes 1/2 of a pound from the scale, then the amount of beets she has left is:
1 1/4 - 1/2 = 1 - 1/4 - 1/2 = 3/4 pounds
Therefore, Sandra has 3/4 pounds of beets, which is exactly what she needs for the chocolate beet cake recipe
(Please could you kindly mark my answer as brainliest you could also follow me so that you could easily reach out to me for any other questions)
What is the mean absolute deviation of 2,5,3,5,4,3,3,5,4,4
Answer:
Step-by-step explanation:
To find the mean absolute deviation (MAD), we first need to find the mean of the data set:
mean = (2 + 5 + 3 + 5 + 4 + 3 + 3 + 5 + 4 + 4) / 10
mean = 4
Next, we find the absolute deviation of each data point from the mean:
|2 - 4| = 2
|5 - 4| = 1
|3 - 4| = 1
|5 - 4| = 1
|4 - 4| = 0
|3 - 4| = 1
|3 - 4| = 1
|5 - 4| = 1
|4 - 4| = 0
|4 - 4| = 0
Then, we find the mean of these absolute deviations:
MAD = (2 + 1 + 1 + 1 + 0 + 1 + 1 + 1 + 0 + 0) / 10
MAD = 0.8
Therefore, the mean absolute deviation of the data set is 0.8.
Determine the visibility distance for pretoria use 1,609km=1mile
Based on the information provided, the visibility distance for Pretoria in kilometers is 19.30 kilometers.
What is the visibility distance from Pretoria in kilometers?The table shows the visibility from Pretoria is 12, miles, while the visibility in Cape Town is 6 miles. This implies we need to change miles to kilometers. These two units are used for distance but they are not equivalent as 1 mile = 1.609 kilometers, knowing this, let's calculate the distance in kilometers:
12 miles x 1.609 = 19.30 kilometers.
Note: This question is incomplete, below I attach the missing information:
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Need help pls
question 1: how many cups of garlic are needed to make 40 servings of soup?
question 2: how many cups of tomato paste are needed to make 60 servings of soup?
question 3: how many cups of carrots are needed to make 30 servings of soup?
Answer:
Sure, I can help you with that!
To start, let's look at the ingredient list and see what information we have:
- 8 cups water
- ½ cup garlic
- ½ cup onion
- 1 ½ cups chopped carrots
- ½ cup tomato paste
- 2 cups sliced potatoes
- 1 cup olive oil
To make the calculations, we can set up ratios that relate the amount of each ingredient to the number of servings of soup. For example, if we want to know how much garlic we need for 40 servings of soup, we can set up the following ratio:
½ cup garlic / 10 servings = x cups garlic / 40 servings
To solve for x, we can cross-multiply and simplify:
(½ cup garlic) * 40 servings = (10 servings) * x cups garlic
20 cups = 10x
x = 2 cups
So we would need 2 cups of garlic to make 40 servings of soup.
Similarly, we can set up ratios for the other questions:
Question 2:
½ cup tomato paste / 10 servings = x cups tomato paste / 60 servings
(½ cup tomato paste) * 60 servings = (10 servings) * x cups tomato paste
30 cups = 10x
x = 3 cups
So we would need 3 cups of tomato paste to make 60 servings of soup.
Question 3:
1 ½ cups chopped carrots / 10 servings = x cups chopped carrots / 30 servings
(1 ½ cups chopped carrots) * 30 servings = (10 servings) * x cups chopped carrots
45 cups = 10x
x = 4.5 cups
So we would need 4.5 cups of chopped carrots to make 30 servings of soup.
here I simplified and checked the cross products of the ratios.
Question 1:
½ cup garlic / 10 servings = x cups garlic / 40 servings
Cross-multiplying, we get:
(½ cup garlic) * 40 servings = (10 servings) * x cups garlic
20 cups = 10x
Dividing both sides by 10, we get:
x = 2 cups garlic
Therefore, we need 2 cups of garlic to make 40 servings of soup.
Checking the cross products:
(½ cup garlic) * 40 servings = (10 servings) * 2 cups garlic
20 cups = 20 cups
The cross products are equal, so my answer is correct.
Question 2:
½ cup tomato paste / 10 servings = x cups tomato paste / 60 servings
Cross-multiplying, we get:
(½ cup tomato paste) * 60 servings = (10 servings) * x cups tomato paste
30 cups = 10x
Dividing both sides by 10, we get:
x = 3 cups tomato paste
Therefore, we need 3 cups of tomato paste to make 60 servings of soup.
Checking the cross products:
(½ cup tomato paste) * 60 servings = (10 servings) * 3 cups tomato paste
30 cups = 30 cups
The cross products are equal, so my answer is correct.
Question 3:
1 ½ cups chopped carrots / 10 servings = x cups chopped carrots / 30 servings
Cross-multiplying, we get:
(1 ½ cups chopped carrots) * 30 servings = (10 servings) * x cups chopped carrots
45 cups = 10x
Dividing both sides by 10, we get:
x = 4.5 cups chopped carrots
Therefore, we need 4.5 cups of chopped carrots to make 30 servings of soup.
Checking the cross products:
(1 ½ cups chopped carrots) * 30 servings = (10 servings) * 4.5 cups chopped carrots
45 cups = 45 cups
The cross products are equal, so my answer is correct.
How do you compute MOR
Using the formula σr = 3Fx/yz², we can easily compute the Modulus of Rupture.
What is the Modulus of Rupture?The term "bending strength" is occasionally used to refer to the measure of a specimen's strength prior to rupture, also known as the "modulus of rupture," or MOR.
Contrary to the modulus of elasticity, which measures the wood's deflection but not its total strength, it can be used to evaluate a species' strength.
The formula σr = 3Fx/yz² for the load force F and the material's size dimensions in the three directions of x, y, and z can be used to compute the modulus of rupture, or "sigma."
The external force applied to the substance of interest in this instance is the load.
Therefore, using the formula σr = 3Fx/yz², we can easily compute the Modulus of Rupture.
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Correct question:
How do you compute MOR?
Help me with this Math Problem please
Answer:
[tex]384 \: {cm}^{3} [/tex]
Step-by-step explanation:
Given:
h = 8 cm
a (base) = 48 cm^2
Find: V - ?
[tex]v = a(base) \times h[/tex]
[tex]v = 48 \times 8 = 384 \: {cm}^{3} [/tex]
A woman leaves at 7 AM and drive to New York City 200 miles away. If she averages 50 mph what time will she arrive at the city?
The woman will arrive in New York City at 11 AM.
Plane takeoff angle.
Angel
During take off, a plane leaves the ground and travels in a straight line until it reaches a height of 10 km. The distance the plane flies during take off should be in the range 57 km to 62 km. What is the smallest possible angle that the path of the plane could make with the ground? Give your answer in degrees to 1 d. p.
Let's assume that the plane travels a distance of x km during take off and reaches a height of 10 km. Then, using trigonometry, we can find the angle θ between the ground and the path of the plane:
tan(θ) = 10/x
We want to find the smallest possible angle θ, which means we need to maximize x. From the given information, we know that x must be in the range 57 km to 62 km. Therefore, to maximize x, we choose x = 62 km.
Plugging this into the equation above, we get:
tan(θ) = 10/62
θ = arctan(10/62) ≈ 8.8°
Therefore, the smallest possible angle that the path of the plane could make with the ground is approximately 8.8 degrees.
Angel
Xochitl spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 7425 feet. Xochitl initially measures an angle of elevation of 19° to the plane at point A. At some later time, she measures an angle of elevation of 37° to the plane at point B.
Find the distance the plane traveled from point A to point B. Round your answer to the nearest foot if necessary
Let's assume that the distance from Xochitl to point A is d1 and the distance from Xochitl to point B is d2. We want to find the distance the plane traveled from point A to point B, which is the difference between d1 and d2.
From the given information, we can set up the following two equations:
tan(19°) = 7425/d1
tan(37°) = 7425/d2
Solving for d1 and d2, we get:
d1 = 7425/tan(19°) ≈ 22977.6 feet
d2 = 7425/tan(37°) ≈ 13060.2 feet
Therefore, the distance the plane traveled from point A to point B is:
d1 - d2 ≈ 9917.4 feet ≈ 3021 meters
Rounding to the nearest foot, we get that the distance the plane traveled from point A to point B is approximately 9917 feet.
Angel
Plane B is flying 75mph 75 mph faster than Plane A. Find the time it takes for Plane A to travel 2300 2300 miles if it takes Plane B the same amount of time to travel 2600 2600 miles.
Let's start by using the formula for distance, rate, and time:
distance = rate x time
Let's assume that Plane A's speed is r mph. Then we know that Plane B's speed is r + 75 mph.
We also know that Plane A travels 2300 miles and Plane B travels 2600 miles. Since they take the same amount of time to travel their respective distances, we can set up the following equation:
2300/r = 2600/(r + 75)
To solve for r, we can cross-multiply and simplify:
2300(r + 75) = 2600r
2300r + 172500 = 2600r
300r = 172500
r = 575 mph
Now that we know Plane A's speed, we can use the formula for distance, rate, and time to find the time it takes for Plane A to travel 2300 miles:
distance = rate x time
2300 = 575 x time
time = 4 hours
Therefore, it takes Plane A 4 hours to travel 2300 miles.
Angel
A woman leaves at 7 AM and drive to New York City 200 miles away. If she averages 50 mph what time will she arrive at the city?
To determine the arrival time of the woman in New York City, we need to use the formula for time:
time = distance / rate
In this case, the distance is 200 miles and the rate (or speed) is 50 mph. Plugging these values into the formula, we get:
time = 200 miles / 50 mph = 4 hours
Since the woman left at 7 AM, we can simply add the travel time of 4 hours to the departure time to get the arrival time:
7 AM + 4 hours = 11 AM
Therefore, the woman will arrive in New York City at 11 AM.
If A=[2 3 0] B= [-1 8 4] c=[-6 -2 2 ] find the determinant
The determinant of the matrix A is 70.
How to solveThe determinant of a 3x3 matrix can be found using the following formula:
|A| = a11(a22a33 - a23a32) - a12(a21a33 - a23a31) + a13(a21a32 - a22a31)
where aij represents the element in the ith row and jth column of the matrix.
Using this formula, we can find the determinant of the given matrix:
|A| = 2(82 - 4(-2)) - 3(-12 - 4(-6)) + 0(-1*(-2) - 8*(-6))
= 16 + 54 + 0
= 70
Therefore, the determinant of the matrix A is 70.
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Find the volume of the
shaded part.
as already suggested, we can simply get the whole volume of the larger cone and then get the volume of the upper-smaller cone and if we subtract the volume of the upper-smaller cone, in essence making a hole in the larger cone, what's leftover is the shaded part.
[tex]\stackrel{ \textit{\LARGE Larger} }{\textit{volume of a cone}}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=10 \end{cases}\implies V=\cfrac{\pi (4)^2 (10)}{3} \\\\\\ \stackrel{ \textit{\LARGE Upper-Smaller} }{\textit{volume of a cone}}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=2\\ h=4 \end{cases}\implies V=\cfrac{\pi (2)^2 (4)}{3} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{\pi (4)^2 (10)}{3}~~ - ~~\cfrac{\pi (2)^2 (4)}{3}\implies \cfrac{160\pi }{3}-\cfrac{16\pi }{3}\implies \cfrac{160\pi -16\pi }{3} \\\\\\ \cfrac{144\pi }{3} ~~ \approx ~~ \text{\LARGE 150.80}~cm^2[/tex]
please help me on this question
Answer:
6.1 cm
Step-by-step explanation:
We have to find the hypotenuse of the orange triangle which will be the leg of the green triangle
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]4.2^{2}[/tex] + [tex]4^{2}[/tex] = [tex]c^{2}[/tex]
17.64 + 16 = [tex]c^{2}[/tex]
33.64 = [tex]c^{2}[/tex]
[tex]\sqrt{33.64}[/tex] = [tex]c^{2}[/tex]
5.8 = c
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]2^{2}[/tex] + [tex]5.8^{2}[/tex] = [tex]c^{2}[/tex]
4 + 33.64 = [tex]c^{2}[/tex]
37.64 = [tex]c^{2}[/tex]
[tex]\sqrt{37.64}[/tex] = [tex]\sqrt{c^{2} }[/tex]
6.13514466007 = c This is a rounded number. This is an irrational number. It never repeats or terminates.
Rounded to 1 decimal place
6.1
Helping in the name of Jesus.
When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5 milligrams (mg) per kilogram (kg) of body weight when the fever is under 102.5 degrees Fahrenheit. How much medicine would be usual dose for a 18 month old weighing 24 pounds?
Answer: 54.43 miligrams
Step-by-step explanation:
To calculate the dose of ibuprofen for an 18-month-old child weighing 24 pounds, we need to convert the weight from pounds to kilograms.
1 pound is equal to 0.453592 kilograms.
So, the weight of the child in kilograms is:
24 pounds × 0.453592 kg/pound = 10.886kg (rounded to three decimal places)
Now we can use the given dosage information to calculate the usual dose of ibuprofen for the child.
The usual dose of ibuprofen is 5 mg/kg of body weight when the fever is under 102.5 degrees Fahrenheit.
So, for the 18-month-old child weighing 10.886 kg, the usual dose of ibuprofen would be:
5 mg/kg × 10.886 kg = 54.43 mg
Therefore, the usual dose of ibuprofen for an 18-month-old child weighing 24 pounds is 54.43 mg.
Answer:
First, we need to convert the weight of the child from pounds to kilograms since the dosage is given in milligrams per kilogram.
We can use the conversion factor: 1 pound = 0.453592 kilograms.
So, 24 pounds = 24 x 0.453592 = 10.8862 kg (rounded to 4 decimal places).
Next, we can calculate the usual dose of Ibuprofen by multiplying the weight of the child (in kg) by the dose per kg:
Usual dose = 5 mg/kg x 10.8862 kg = 54.431 mg
Therefore, the usual dose of Ibuprofen for an 18 month old weighing 24 pounds would be 54.431 mg when the fever is under 102.5 degrees Fahrenheit. However, it is important to note that dosages may vary depending on the specific circumstances, and it is always best to consult a healthcare provider for proper dosing instructions.
Step-by-step explanation:
can you solve this question?
f'(0)=?
The derivative exists at x=0 and its value is 0. So, f'(0) = 0.
Describe Derivative?The derivative of a function can be thought of as the slope of a tangent line to the function's graph at a specific point. This tangent line represents the instantaneous rate of change of the function at that point. The derivative of a function can be used to find critical points, which are points where the function reaches a maximum or minimum value, and to find the concavity of the function, which indicates the direction in which the function is changing.
The derivative can be calculated using different methods, including the limit definition of the derivative, the power rule, the product rule, the quotient rule, and the chain rule. The derivative can also be used to calculate the slope of a curve, the velocity of a moving object, and the acceleration of an object.
To find f'(0) using the definition of a derivative, we need to use the following formula:
f'(a) = lim(h->0) [f(a+h) - f(a)]/h
where "a" is the point at which we want to find the derivative, and "h" is a small value that approaches zero.
In this case, we want to find f'(0). Let's use the formula and simplify the expression:
f'(0) = lim(h->0) [f(0+h) - f(0)]/h
= lim(h->0) [h²sin(1/h)]/h (since f(0)=0)
= lim(h->0) [hsin(1/h)]
Now, we need to evaluate this limit. We can rewrite the limit using the squeeze theorem, which says that if we have two functions, g(x) and h(x), such that g(x) ≤ f(x) ≤ h(x) for all x in some interval, and if lim(x->a) g(x) = lim(x->a) h(x) = L, then lim(x->a) f(x) = L.
In our case, we have:
-1 ≤ sin(1/h) ≤ 1 for all h≠0 (using the fact that -1 ≤ sin(x) ≤ 1 for all x)
-h ≤ hsin(1/h) ≤ h for all h≠0 (multiplying by h, which is always non-negative)
Therefore, by the squeeze theorem, we have:
lim(h->0) -h = 0 = lim(h->0) h
Since both limits are equal, we can conclude that the limit of hsin(1/h) as h approaches 0 exists and is equal to 0.
Thus, f'(0) = 0.
Therefore, the derivative exists at x=0 and its value is 0. So, f'(0) = 0.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Match the equation with the graph
Answer choices are:
Y=3x -5
Y= x
Y= -5x + 3
Y= -x + 2
Y= x - 1
Y= 2x + 2
Y= (x + 3)^2 -2
Y= 1/2x + 2
Y= x
The answer of the given question based on the matching the equation with the graph is , Y=3x -5 , Y= -5x + 3 , Y= x - 1 , Y= (x + 3)² -2 , Y= 1/2x + 2 , Y= x .
What is Equation?An equation is mathematical statement that shows that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by equal sign (=). The LHS and RHS may contain numbers, variables, and mathematical operations like addition, subtraction, multiplication, and division. The purpose of an equation is to solve for the value of an unknown variable.
Equations are used in many areas of mathematics and science, including algebra, calculus, physics, and engineering. They are essential for modeling and solving real-world problems and are a fundamental tool for understanding the natural world.
Here are the equations that match the graphs in the given image:
Y=3x -5 (Line passing through points (0,-5), (1,-2), and (2,1))
Y= -5x + 3 (Line passing through points (0,3) and (1,-2))
Y= x - 1 (Line passing through points (0,-1) and (1,0))
Y= (x + 3)² -2 (Parabola opening upwards with vertex at (-3,-2))
Y= 1/2x + 2 (Line passing through points (0,2) and (2,3))
Y= x (Line passing through points (-2,-2), (0,0), and (2,2))
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Can someone tell me if I did this problem correctly? Fine the value of x using Pythagorean theorem and write answer in simplest radical form if I got it wrong.
Answer:
[tex]a=3\sqrt{5}[/tex] or 6.7 approximately (Yes you did it correctly)
Step-by-step explanation:
Find leg [tex]a[/tex] of a right triangle if leg [tex]b[/tex] =6 and hypotenuse = 9.
To find side [tex]a[/tex] use Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
After substituting b = 6 and c = 9 we have:
[tex]a^2+6^2=9^2[/tex]
[tex]a^2=9^2-6^2[/tex]
[tex]a^2=81-36[/tex]
[tex]a^2=45[/tex]
[tex]a=\sqrt{45}[/tex]
[tex]a=3\sqrt{5}[/tex]
[tex]a=6.7[/tex]
15y+11y-3-y equivalent alegrara expression
A.12y+10y
B. 10y+12
C.10+12y
D. 12y+10
Answer: A
Step-by-step explanation:
The answer is A.
Michael needs 6 1/2 feet of metal flashing to complete a household projects.He has two small pieces measuring 3 1/8 feet and 1 3/4 feet. How many feet of metal flashing does Michael need to purchase?
Answer:
Michael needs to purchase 6 1/4 feet of metal flashing.
Step-by-step explanation:
To determine the number of feet of metal flashing that Michael needs to purchase, we need to add the lengths of the two small pieces he already has:
3 1/8 feet + 1 3/4 feet
To add these two fractions, we need to have a common denominator. In this case, the smallest common denominator is 8:
3 4/8 feet + 1 14/8 feet = 4 18/8 feet
Now we can simplify the mixed number by converting it to an improper fraction:
4 18/8 feet = (4 x 8 + 18)/8 feet = 50/8 feet
So Michael already has 50/8 feet of metal flashing. To determine how much more he needs to purchase, we need to subtract this amount from the total amount he needs:
6 1/2 feet - 50/8 feet
To subtract these two fractions, we again need to have a common denominator. In this case, the smallest common denominator is 8:
6 4/8 feet - 50/8 feet = (6 x 8 + 4)/8 feet - 50/8 feet = 52/8 feet - 50/8 feet = 2/8 feet
So Michael needs to purchase an additional 2/8 feet of metal flashing to complete his household project, which simplifies to 1/4 feet. Therefore, Michael needs to purchase a total of:
50/8 feet + 1/4 feet = 6 1/4 feet
-8 = - 5w + 2(w+2)
w = what?
a jar contains $5.55. there are three times as many dimes as nickels and twice as many quarters as dimes. how many of each coin is in the jar?
Answer:
Let's start by assigning variables to represent the number of nickels, dimes, and quarters in the jar.
Let x be the number of nickels.
Then the number of dimes is 3 times as many as nickels, so the number of dimes is 3x.
And the number of quarters is twice as many as dimes, so the number of quarters is 2(3x) = 6x.
We know that the total amount of money in the jar is $5.55, which is equal to:
0.05x (for the value of the nickels) + 0.10(3x) (for the value of the dimes) + 0.25(6x) (for the value of the quarters)
Simplifying this expression, we get:
0.05x + 0.30x + 1.50x = 5.55
Combining like terms, we have:
1.85x = 5.55
Dividing both sides by 1.85, we get:
x = 3
So there are 3 nickels in the jar.
Using this value, we can find the number of dimes and quarters:
Number of dimes = 3x = 3(3) = 9
Number of quarters = 6x = 6(3) = 18
Therefore, there are 3 nickels, 9 dimes, and 18 quarters in the jar.
Step-by-step explanation:
The triangular prism has a volume of 252 yd³. What is the height, h, of the prism?
Answer:
The height of the prism is 9yd.
Step-by-step explanation:
The volume of the prism is
Vol
= BaseArea×height
The area of the base is the area of the triangle.
Area_triangle
= 1/2 b•h
= 1/2•8•7
= 28
28 is the BaseArea of the prism.
Again the volume of the prism is:
Vol = BaseArea•h
This h is the height of the prism. That is what we are looking for.
Fill in what we know or calculated already.
252 = 28•h
Divide by 28
9 = h
The height of the prism is 9yd.
PLEASE GUYS I NEED YOUR HELP WITH THIS
The table and graph is mentioned below.
Describe Graph?In mathematics, a graph is a visual representation of a set of objects, often referred to as vertices or nodes, and the connections or edges that exist between them. Graphs are used to represent a wide range of mathematical concepts, such as functions, equations, and data sets.
A graph can be thought of as a collection of points or vertices that are connected by lines or edges. The way these vertices and edges are arranged can convey important information about the relationships between the objects being represented.
Graphs can be classified into different types, such as directed or undirected graphs, weighted or unweighted graphs, and cyclic or acyclic graphs. They can also be used to model real-world systems, such as social networks, transportation systems, and computer networks.
a)Table for Members:
Number of Movies (n) Cost (C1)
0 $75.00
10 $95.00
20 $115.00
30 $135.00
40 $155.00
50 $175.00
Table for Non-members:
Number of Movies (n) Cost (C2)
0 $5.75
10 $60.75
20 $115.75
30 $170.75
40 $225.75
50 $280.75
b) On the same set of axes, the graph is attached below.
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Different kinds of graphs, including directed and undirected graphs, weighted and unweighted graphs, and cyclic and acyclic graphs, can be distinguished.
Describe Graph?In mathematics, a graph is a picture of a collection of things, also known as vertices or nodes, and the links or edges that join them. Numerous mathematical ideas, including functions, formulae, and data sets, are represented by graphs.
A collection of vertices or points linked by lines or edges is referred to as a graph. The arrangement of these vertices and edges can reveal crucial details about the connections between the things being represented.
Different kinds of graphs, including directed and undirected graphs, weighted and unweighted graphs, and cyclic and acyclic graphs, can be distinguished. Additionally, they can be used to simulate real-world systems like computer networks, transit systems, and social networks.
a)Table for Members:
Number of Movies (n) Cost (C1)
0 $75.00
10 $95.00
20 $115.00
30 $135.00
40 $155.00
50 $175.00
Table for Non-members:
Number of Movies (n) Cost (C2)
0 $5.75
10 $60.75
20 $115.75
30 $170.75
40 $225.75
50 $280.75
b) On the same set of axes, the graph is attached below.
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Help step by step (special right triangles) pls
The hypotenuse of the right angled triangle is [tex]$14\sqrt{2}$[/tex].
What is hypotenuse?
The hypotenuse is the longest side of a right-angled triangle and is opposite to the right angle. It is the side that is opposite to the 90-degree angle and is located opposite the right angle.
To solve this problem, we can use the concept of special right triangles, specifically the 45-45-90 right triangle. In a 45-45-90 right triangle, the sides are in the ratio of 1:1:sqrt(2).
Let's label the length of the triangle as [tex]$L$[/tex], the hypotenuse as [tex]$H$[/tex], and the angle between the hypotenuse and base length as [tex]45[/tex]°.
We are given that the angle formed between the hypotenuse and the base length is 45 degrees. In a 45-45-90 right triangle, the two legs are congruent, so the ratio of the sides is 1:1:sqrt(2).
Since we know that the ratio of the sides is 1:1:sqrt(2), we can set up the following equation:
[tex]$L:L:H = 1:1:\sqrt{2}$[/tex]
We are given that [tex]$L = 14$[/tex], so we can substitute this value into the equation:
[tex]$14:14:H = 1:1:\sqrt{2}$[/tex]
Solve for H.
Since the ratio of the sides is 1:1:sqrt(2), we know that [tex]$H$[/tex] is equal to [tex]$L$[/tex] multiplied by [tex]$\sqrt{2}$[/tex]. Therefore, we can solve for [tex]$H$[/tex] by multiplying [tex]$14$[/tex] by [tex]$\sqrt{2}$[/tex]:
[tex]$H = 14\sqrt{2}$[/tex]
Therefore, the hypotenuse of the right angled triangle is [tex]$14\sqrt{2}$[/tex].
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help me please helpm!!!!!!!!!!!!!
Julia can expect to roll a 3 approximately 61 times if she rolls the die 200 times.
Define probabilityProbability is a means to gauge the likelihood that an event will take place. It is symbolized by the numbers 0 and 1, respectively, with 0 denoting an improbable event and 1 denoting an inescapable event. With two equally likely outcomes, switching a valid coin and coin flips have a chance of 0.5, or 50%. head or tail. A subfield of mathematics called probability theory examines random events rather than their attributes. It is employed in many different fields, including finance, science, building, and facts and statistics.
we found the best estimate for the probability of rolling a 3 to be:
p = (30 + 0.5) / 100 = 0.305
This means that the probability of rolling a 3 on any one roll of the die is 0.305.
If Julia rolls the die 200 times, we can use the formula for the expected value of a binomial distribution to find the expected number of 3's she will roll:
E(X) = np
where:
n = number of trials = 200
p = probability of success (rolling a 3) = 0.305
So, plugging in the values:
E(X) = 200 × 0.305
E(X) = 61
Therefore, Julia can expect to roll a 3 approximately 61 times if she rolls the die 200 times.
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What is the value of x?
Enter your answer in the box.
Answer:
x = 7
Step-by-step explanation:
You want the value of x in the diagram of similar triangles.
ProportionCorresponding side segments in the figure are proportional:
(2x +10)/(3) = (40)/(5)
2x +10 = 3·8 . . . . . . . . . . multiply by 3
2x = 14 . . . . . . . . . . . subtract 10
x = 7 . . . . . . . . . . divide by 2
The value of x is 7.
100 POINTS PLEASEEE HELPP BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer and Explanation: Nuclear fusion takes place at very high temperature and pressure so that the two elements fuse together, forming new, heavier elements. The nuclear fusion reaction releases a massive amount of energy, and it normally takes place in the core of the stars.
hope that was the answer
Answer:
Its c it has to be because its merge and if u look it up it shows and that's what it means yw!
Step-by-step explanation:
A tourist from Vermont won a jackpot worth 8,500,000 on a slot machine. The goverment gets 45% of his winning in taxes. How much of his winning does the tourist pay
The tourist has to pay the government $3,825,000.
make 45% into a decimal (0.45) and then multiply it by 8,500,000.
A student started a project using a pencil with a length of 7 1/2 inches. After the student completed the project, the pencil had a length of 5 7/8 inches. How much shorter, in inches, was the pencil after the student completed the project than when the student started the project? 4 A 1 4/8 B 1 5/8 C 2 3/8 D 2 6/8. also subscribe to my friends channel it's called your local kirby guy.
Answer:
Step-by-step explanation:
To find out how much shorter the pencil was after the student completed the project, we need to subtract the final length from the initial length:
7 1/2 - 5 7/8
To subtract these two mixed numbers, we need to convert them to a common denominator. The smallest common multiple of 2 and 8 (the denominators of the fractions) is 8, so we can rewrite the numbers as:
15/2 - 47/8
Now we can find a common denominator of 8:
(15/2) * (4/4) - (47/8) = 30/8 - 47/8
Subtracting the numerators, we get:
-17/8
Therefore, the pencil was 17/8 inches shorter after the student completed the project than when the student started the project. We can simplify this fraction to a mixed number:
-2 1/8
So the answer is C) 2 3/8 inches.