The solution to the system of equations is x = 4 and y = 2.
CalculationsWe would use the elimination method to solve the system of equations:
4x + 8y = 242x + y = 193x + y = 154x + 2y = 12x + y = 11x + 2y = 10Let's eliminate the variable y by adding equations 1 and 2:
4x + 8y = 24
2x + y = 19
.
.
.,
6x + 9y = 43
Now we can eliminate the variable x by subtracting equation 3 from the above equation:
6x + 9y = 43
3x + y = 15
.
.
.
3x + 8y = 28
We now have an equation with one variable: 3x + 8y = 28. We can solve for x by dividing both sides by 3:
x = (28 - 8y) / 3
Now we can substitute this expression for x into one of the original equations and solve for y. Let's use equation 4:
4x + 2y = 12
Substituting x = (28 - 8y) / 3:
4((28 - 8y) / 3) + 2y = 12
If we simplify:
28 - 8y + 2y = 128y = 16y = 2Finally, we can use this value of y to find x by plugging it into the expression we found earlier:
x = (28 - 8(2)) / 3
x = (28 - 16) / 3
x = 12 / 3
x = 4.
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Marco's mom gave him d dollars for his allowance one week. He also earned $ 14.55 dollar sign, 14, point, 5 for his newspaper route that week.
The total amount of money that Marco has that week would be = $ d + 14.55.
What is an allowance income?An allowance income is defined as the amount of money an individual earns that can be used to solve their personal needs.
Marco received double payment, an allowance from the mother and from newspaper route.
The total amount of money received from his mother for allowance for that same week = $ d
The amount of money he earned from his newspaper = $14.55
Therefore the total amount of money Marco has that week =$ d + 14.55
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Complete question:
Marco's mom gave him d dollars for his allowance one week. He also earned \$14.55$14.55dollar sign, 14, point, 55 for his newspaper route that week.
How much money does Marco have?
Write your answer as an expression.
What is the value of a in the functions equation?
A. -3
B.2
C.3
D.-2
Answer:
Im guessing -2
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?
Solve these problems any way you choose.
1) 1000 AA Batteries in one Case.
2) 10,000 AA Batteries in One carton.
3) 100,000 AA Batteries in 10 cartons.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The Store sells AA batteries in the order below:
⇒ 10 batteries in 1 packages
⇒ 10 packages in 1 box
⇒ 10 boxes in 1 case
⇒ 10 cases in 1 Carton
1) We want to determine how many AA batteries are in 1 Case;
Using Multiplication
Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box
= 1000 AA Batteries
2) We want to determine how many AA batteries are in 1 Carton;
From Part (a),
There are 1000 AA Batteries in 1 Case.
Since, There are 10 Cases in 1 carton.
Number of Batteries in 1 carton = 10 × 1000
= 10,000 AA Batteries
3) 10 Cartons
⇒ 1 carton = 10000 AA Batteries
Therefore, We get;
⇒ 10 Cartons = 10 × 10000
= 100,000 AA Batteries
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So yea just help this is the last one
Answer:
C Because thats the only thing there is no doubt
Evaluate 3x2 – 9 when x= -2.
Answer:
3(-2)2-9
-12-9
-21
Step-by-step explanation:
×=-2 so -2×3=-6 which is -6×2=-12
and we have -9
soo -12-9=-21
What is the largest positive multiple of $12$ that is less than $350?$
Answer: 348
Step-by-step explanation: 12*29 = 348, which is the largest multiple less than 350.
What is the solution of 2x 3 7?
Answer: It is a straight line
Step-by-step explanation:
How to find a side length of a right triangle with an angle and a side?
Using trigonometric functions, we can find a side length of a right triangle with an angle and a side.
What is the trigonometric ratio?Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.
Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.
You can determine the hypotenuse by dividing the length of the side by sin(θ) if you have an angle and the side opposite to it. Alternatively, to find the length of the side next to the angle, divide the length by tan(θ).
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Please help I have a learning disablity
Find the value of x that makes a true statement.
24 + x = 24
x =
Answer:
24 + x + 24
X is 0
Answer: substract 24 from both sides
then x = 0
Step-by-step explanation:
What is the z-score for the mean?
This is because the mean is at the very center of the normal distribution. The center is at 0, with positive values on the right and negative values on the left.
Something like z = 1 means we're 1 standard deviation above the mean. As another example, z = -3 means we're 3 standard deviations below the mean.
⎆ The value of the z-score will tell how many standard deviations the person is away from the mean.
➟ If a z-score is equal to 0, then it will be on the mean. So, z-score for the mean is 0.
Formula:[tex] \\ z = \frac{(x-μ)}{σ} [/tex]
✐ Where,
z = standard scorex = observed value / raw scoreμ = mean σ = standard deviationA rare Pokemon trading card deck you have been wanting to buy costs 4500. You have earned 2485 from helping your mom in her online selling business. If you can save 155 weekly from your allowance, how many weeks would it take for your funds to reach 4500
Answer:
POKEMON YEAH!
Okay, so you first want to take 2485, and subtract it from 4500, because that is the amount of money he has already collected.
4500 - 2485 = 2015
Now you need to find out how many time you can multiply 155, to get 2015, or higher. In this case, I am just gonna divide:
2015/155 = 13
It will take him 13 more weeks to have enough for the Pokemon cards!
Step-by-step explanation:
Hope it helps! =D
what is the value of 5h(-2)+3g(0)?
Answer:
-32Step-by-step explanation:
At x = -2, the h is calculated using the second piece::
h(-2) = (-2 + 3)(-2 - 2) = -4At x = 0, the g is calculated using the first piece:
g(0) = (0 + 1)² - 5 = 1 - 5 = -4The value of the given expression is:
5h(-2) + 3g(0) = 5(-4) + 3(-4) = -32Given v^2 = u^2 − 2as. Solve for u, when v = 10, a = 5 and s = 2.
Answer:
u ≈ 11
Step-by-step explanation:
10² = u² - 2(5)(2)
100 = u² - 20
120 = u²
u = [tex]\sqrt{120}[/tex]
u = [tex]\sqrt{4}[/tex][tex]\sqrt{30}[/tex] = 2[tex]\sqrt{30}[/tex] which is 10.95
How do you find the two missing sides of an acute triangle?
Using the Pythagorean Theorem (a2 + b2 = c2), plug in the known side lengths to solve for the two unknown sides of an acute triangle.
1. Identify the two known side lengths of the triangle.
2. Plug the known side lengths into the Pythagorean Theorem equation (a2 + b2 = c2).
3. Solve for the two unknown sides of the triangle.
4. The two unknown sides are the lengths of the missing sides of the triangle.
5. To solve for the unknown side lengths, first, calculate the hypotenuse (the longest side) by finding the square root of the sum of the squares of the two shorter sides.
6. Then, calculate the shorter sides by subtracting the square of the hypotenuse from the sum of the squares of the two shorter sides.
7. Finally, use the Pythagorean Theorem to calculate the missing side lengths.
8. The two missing side lengths will be the unknown side lengths of the triangle.
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Jennifer earned $1000 babysitting over the summer. She spent $250 of her earnings on new clothes. What percent of her earnings did she spend on new clothes?
Answer:
25%
Step-by-step explanation:
she earned $1,000
she spent $250
250/1000 = 0.25
0.25 x 100 = 25%
Answer:
[tex] \frac{250}{1000} \times \frac{100}{1} [/tex]
[tex] = 0.25 \times 100 \\ 25\%[/tex]
what is the answer 6u+2(u-8) - 4
Answer:
8u - 20
Step-by-step explanation:
What is the exponential regression equation that fits these data?
х
у
-4
0.025
-3
0.075
-2
0.25
-1
0.70
0
3
1
8
2
20
3
60
4
160
A. y= 4.90x2 + 14.44x - 4.69
B. y = 3.02 · 2.26%
C. y = 2.01 • 3.80%
D. y = 2.26. 3.02%
Answer: it is y=2.26x3.02^x
Step-by-step explanation:
Option D is correct.
What is exponential regression?
An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data.
The general form for the exponential regression equation[tex]y = ae^{bx}[/tex]
According to the question
We have a data.
Let the exponential regression equation be [tex]y = ae^{bx}[/tex]
Take two values of x and y from the given data for finding the value of a and [tex]e^{b}[/tex].
substitute y = 0.025 and x = -4 in [tex]y = ae^{bx}[/tex] we get
[tex]0.025 = ae^{-4b}...(1)[/tex]
similarly ,substitute y = 0.075 and x = -3 in [tex]y = ae^{bx}[/tex] we get
[tex]0.075 = ae^{-3b} ....(2)[/tex]
from equation 1 and 2
[tex]\frac{0.025}{0.075} = \frac{ae^{-4b} }{ae^{-3b} }[/tex]
⇒[tex]\0.333 = e^{-b}[/tex]
⇒[tex]ln(o.33) = -b[/tex]
⇒[tex]-(1,1086) = -b[/tex]
⇒ b = 1.1086
Therefore,
[tex]e^{b} = (2.718)^{1.1086} = 3.0041[/tex]
and substitute b = 1.1086 and [tex]e^{b} = 3.0041[/tex] in either equation 1 or 2, we get
a = 2.2
Thus, the exponential regression equation will be
[tex]y = (2.2)3.041^{x}[/tex]
Hence, option D is the correct one.
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HELP ME PLEASE!!! PLEASE SOLVE NUMBER 10!! THIS TEST IS TIMED!! I WILL MARK YOU BRAINLIEST!!
Answer:
Honor code states you can't post questions from tests. Sorry.
Step-by-step explanation:
Find the area of a circle with a radius of 3 (AREA) explain
The continuous random variable N has a normal distribution with mean 7.5 and standard deviation 2.5. For which of the following is the probability equal to 0 ?
(A) P(N = 8) (B) P(N > 8) (C) P(N < 8) (D) P(7 < N < 8) (E) P(N < 7) or P(N > 8)
The probability for all five answers is greater than 0.
The normal distribution is a type of continuous probability distribution, and probability can never equal 0 for a continuous distribution. The probability of a particular value (in this case, 8) is the area under the normal curve at that point. Since the area under a continuous distribution is always greater than 0, the probability of a specific value (A) is not 0.
The probability of a range of values (D) is calculated by subtracting the area under the normal curve to the left of the lower value, from the area under the normal curve to the right of the higher value. This calculation would produce a value greater than 0.
The probability of values greater than a given number (B) is calculated by subtracting the area under the normal curve to the left of the given number, from the area under the normal curve to the right of the given number. This calculation would produce a value greater than 0.
The probability of values less than a given number (C) is calculated by subtracting the area under the normal curve to the right of the given number, from the area under the normal curve to the left of the given number. This calculation would produce a value greater than 0.
Finally, the probability of values less than one number or greater than another number (E) is calculated by subtracting the area under the normal curve to the left of the lower number, from the area under the normal curve to the right of the higher number. Again, this calculation would produce a value greater than 0.
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Solve by using substitution. x+2y=−1 x=y+5
Answer:
Step-by-step explanation:
the first equation we konw x=-2y-1,
then -2y-1=y+5
so, y = -2, x=3
Answer:
y = -2
x = 3
Step-by-step explanation:
y + 5 + 2y = -1 (substitute)
3y + 5 = -1 (Simplify)
3y = -6 (Get rid of 5)
y = -2 (Divide)
x = -2 + 5 (plug in y)
x = 3 (simplify)
hope this helps :)
A family of 3 children and 2 adults visited a health club. The club charges sy an hour for each child and $x an hour for each adult. If the family does not want to spend more than $30 an hour at the health club, which of the following graphs best models the situation? Your answer: 16 14 12 10 O 2 2 8 10 12 14 14 12 4 2. + -2 -2 2 4 6 8 10 12 14 10 10 14 101214 a O 2 2 4 8 101214 -2
We have inequality. So, we have to take a test point (0,0) and as the statement is true therefore Graph will shade towards the test point (0,0).
2(0)+3(0) ≤ 30 => 0≤ 30
What is inequality?An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.
First we make inequality according to question.
In a family number of children 3
Charge for 1 child = $y per hour
Charge for 3 children = 3y
Charge for 1 Adult = $x per hour
Charge for 2 adults = 2x
If the family does not want to spend more than $30 an hour at health club.
2x+3y≤30
Where, x and y should be greater than 0.
x≥0 and y ≥0
Now we make the graph of this inequality.
First we take equality of equation and then find x and y table.
2x+3y=30
x y
0 10
6 6
15 0
Here we have inequality. So, we have to take a test point (0,0)
2(0)+3(0) ≤ 30 => 0≤ 30
This statement is true. So, Graph will shade towards the test point (0,0)
Please see the attachment for graph:
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Expand the expression 6(z+x+y)
Answer:
6z + 6x + 6y
Step-by-step explanation:
Just distribute the 6 and multiply them to all variables.
heeeeeeeeeeeeeeeeelp
Answer:
well i know 3 is the lowest but i don't know how high it goes.
Range is where the graphs highest and lowest.
Step-by-step explanation:
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△ABC is reflected across the y-axis. The result is labeled △DEF. What must be true of angles A and D?
∡A is one−half of ∡D.
∡A is twice ∡D.
The angles are congruent.
Answer:
angles remain congruent
Step-by-step explanation:
all transformations, except dilations, do not change lengths of sides or angle measures
Step 3: Testing Jerome’s sister’s approach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.
Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument.
Yes Jerome's sister is correct.
The answer to the table is given below.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here:
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Drink mix 3 6 9 12 15
water cups 8 16 24 32 40
we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.
Hence, The complete table is shown above.
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The pattern 7, 21, 63, 189, ________ follows the rule multiply by 3. What is the next number in the pattern?
Group of answer choices
246
321
456
567
Answer
The answer is 567
Step-by-step explanation:
189*3=567
450 yards in 15 minutes (show work) (find the unit rate)
Answer:
30 yards per minute
or
150 feet per minute
Step-by-step explanation:
450/15 = 30
can i have brainliest please?
Which rational number equals 0.3 with line on top? (5 points)
1/3
1/5
3/10
3/5
Answer:
1/3
Step-by-step explanation:
Someone plzzz helpppp meeee