The amount that I spent by using the equation y = 1/2x , according to my friend's expense is $7.5.
What is an equation in mathematics?
In its simplest form in algebra, the definition of an equation is a mathematical statement that two mathematical expressions are equal. For example, 3x + 5 = 14 is an equation where 3x + 5 and 14 are two terms separated by an equal sign.
There are two types of equations:
Identities and conditionals. The identity applies to all values of the variable. Constraint expressions apply only to specific values of variables. Equations are written as two expressions separated by an equal sign ("=").
Solution:
Given, amount spent by friend = $15
Equation: y = 1/2x
So, amount spent by me is as follows
y = (1/2)×15
=15/2
y = $7.5
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The amount of money you are spending is $7.50 according to the given equation.
What is an equation?A mathematical equation is a statement that expresses the relationship between two values using mathematical symbols. An equation typically involves a variable, which is a symbol that stands for a number that can change, and an equals sign. Equations can be used to solve a variety of problems in mathematics.
The equation y = 1/2x states that 'y' is equal to one half of 'x'. This equation can be used in many different ways to solve real-life problems. In this case, 'x' represents the amount of money your friend spent at the carnival. 'y' represents the amount of money you spent. To solve for 'y', we divide the value of 'x' by 2.
In the question, your friend spent $15 at the carnival. Therefore, 'x' is equal to 15. We then divide 15 by 2, which gives us 7.5. This means that you spent $7.50 at the carnival.
The equation y = 1/2x is a simple but powerful tool for solving problems. It can be used for a variety of tasks, including finding out how much money you spent at the carnival if you spent half as much as your friend. All you have to do is plug in the value of 'x' and divide it by two.
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the 2 expressions below are equivalent expressions. is isaac correct? explain your reasoning. - 2(3x - 5) and - 6x - 10
Answer: Isaac is unfortunately incorrect.
Step-by-step explanation: We want to determine if -2(3x-5)=-6x-10. We can apply the distributive property to the parentheses on the left side of the equation to see if this statement is true.
-2(3x-5)=-2*3x+-2*-5=-6x+10
The left side simplifies to -6x+10 which is not equivalent to -6x-10.
Hope this helps!
Are rhombuses also rectangle?? Explain
Answer:
No, rhombuses are not necessarily rectangles. While both shapes are quadrilaterals with opposite sides parallel, there is an additional requirement for a rectangle that is not present in a rhombus. Specifically, a rectangle must have all interior angles measuring 90 degrees, while a rhombus can have any angle between 0 and 180 degrees.
On the other hand, all rectangles are parallelograms, while not all parallelograms are rectangles. Similarly, all squares are both rhombuses and rectangles, but not all rhombuses or rectangles are squares. In summary, a rhombus is a quadrilateral with four equal sides, while a rectangle is a quadrilateral with four right angles. While there is some overlap between the definitions, they are not equivalent.
Answer:
Rhombuses are not rectangles
Step-by-step explanation:
This is because rhombuses do not have 4 right angles.
A square would be a rectangle because its a quadrilateral with 4 right angles
while a rectangle wouldn't be a square because it doesn't have 4 equal sides
A rhombus is a quadrilateral that has 4 equal sides but doesn't have 4 right angles, making it not a rectangle
Rotation: 180° about the origin
According to the above, the figure rotated 180° would remain as shown in the image in the fourth quadrant of the Cartesian plane (+ , -)
How to rotate the figure 180°?To rotate the figure 180 degrees we must take into account its initial position. Additionally, we must remember that each quadrant is equivalent to 90°, so we would have to rotate it two quadrants. In this case it is not important to know if it rotates counterclockwise or clockwise because we know it will be in quadrant #4.
In this case, we must be guided by the coordinates that the figure has to draw it again. From the above we can see that it has four coordinates at the top. In the case of the figure rotated in quadrant #4, these four coordinates would be at the bottom because the figure has been rotated 180°.
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Juliana expects to work overtime this week. She will work 40 hours at her regular pay rate. The she will work another 15 hours at
$5 per hour more than her regular pay rate.
a. Write a function for Juliana so she can calculate how much money she will make based on her regular pay rate.
b. Juliana will make
$735 this week (including her overtime pay). What is her regular pay rate?
The function to calculate her regular pay rate is y = 55x + 75.
Her regular pay rate is 12 dollars.
How to represent a function?Juliana expects to work overtime this week. She will work 40 hours at her regular pay rate.
She usually work 15 hours at 5 dollars per hour more than her regular rate.
Therefore, the function to calculate how much money she will make base on her regular pay rate is as follows:
let her regular pay rate = x
Therefore,
y = 40x + 15(x + 5)
y = 55x + 75
Let's find her regular pay rate when she earns 735 dollars(including the overtime)
Therefore,
735 = 40x + 15(x + 5)
735 = 40x + 15x + 75
735 - 75 = 55x
660 = 55x
x = 660 / 55
x = 12
Therefore, her regular pay rate is 12 dollars.
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As x
approaches
As x approaches
As x approaches
-co, y approaches -co. As x approaches ∞o, y approaches co
co, y approaches 0. As x approaches -00, y approaches ∞
0, y approaches -co. As x approaches co, y approaches co
No: As x approaches -∞, y approaches -∞. As x approaches ∞, y approaches ∞.
YES: As x approaches ∞, y approaches 0. As x approaches -∞, y approaches ∞.
No: As x approaches 0, y approaches -∞. As x approaches ∞, y approaches ∞.
Explain about the domain and range of function?The range of values that we are permitted to enter into our function is known as that of the domain of function. The x values for a formula like make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.A function's domain and range are its constituent parts. The range of a function has been the set of all potential outputs, whereas the domain of a function has been the collection of each of the inputs.Thus, correct options are-
No: As x approaches -∞, y approaches -∞. As x approaches ∞, y approaches ∞.
YES: As x approaches ∞, y approaches 0. As x approaches -∞, y approaches ∞.
No: As x approaches 0, y approaches -∞. As x approaches ∞, y approaches ∞.
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Determine if the 3 lengths make a triangle. If they do, classify as acute, right, or obtuse.
a. 5, 6, 7
b. 1.6, 1.8, 3.1
c. 7, 9, 15
d. 4, 5, 10
e. 15, 20, 25
(45 points)
Answer: Your welcome!
Step-by-step explanation:
a. Yes, this makes a triangle. It is an acute triangle.
b. Yes, this makes a triangle. It is an acute triangle.
c. Yes, this makes a triangle. It is an obtuse triangle.
d. No, this does not make a triangle. The side lengths do not add up to more than the other two sides combined.
e. Yes, this makes a triangle. It is an obtuse triangle.
Answer: Its C
Step-by-step explanation:
A social worker at a large high school wants to estimate the number of days students are absent. He randomly
selects 45 students and records the number of days each one is absent. The social worker constructs a 95%
confidence interval for the true mean number of days students at this school are absent. Which of the following
would decrease the margin of error?
O using a sample of size 30
O using a sample of size 40
constructing a 90% confidence interval
O constructing a 99% confidence interval
Answer:
The answer is C.)
Step-by-step explanation:
Solve : select all answer that apply
|x/5| = 1
x=3
x= -1
x=-6
x= 5
x=-5
The correct solution for the given absolute function |x/5| = 1 is: x = 5 and x = -5.
Explain about the absolute function?The variable inside this absolute value bars makes up an essential algebraic function known as the absolute value function.
This same absolute value function is likewise referred to as the modulus function, and its most popular representation is f(x) = |x|, wherein x is a real number. Such operations are frequently used to determine the separation between two points. Beyond a certain point, all of these functions change (becoming rising or decreasing).The given function is-
|x/5| = 1
Solving the bars will give:
x/5 = 1 and x/5 = -1
So,
x = 5 and x = -5 are the solution of the absolute function.
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A rectangular field is 100 meters wide and 150 meters long.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.
Answer:
perimeter of first ️
2(100+150) = 500 m
If ƒ(x) = -x − 2, what is ƒ^¹ (x)?
Answer:
Step-by-step explanation:
XDXDXDXDXDXDXDXDXD get rick rolled
0.0001 ÷ 28,0000 help
Answer:
3.5?
Step-by-step explanation:
sorry that's all i can do..
Answer: 3.5714286e^-10 or 0.00000000035714286 or 3.5714286 × 10^-10
Step-by-step explanation:
First, we divide 0.0001 by 28, which equals 3.5714286e-6.
And since we added 4 zeros to the equation, the negative (e) will be pushed by -4. So, it should look like this: 3.5714286e-10, and the equation is complete.
What would the hypotenuse have to be if the legs of a right triangle are 9 and 5?
Answer:
10.3
Step-by-step explanation:
Let's say
a leg = 9
b leg = 5
The formula to find the hypotenuse is [tex]\sqrt{a^{2}+b^{2} } = \sqrt{9^{2} +5^{2} } = \sqrt{81+25} = \sqrt{106} = 10.246\\[/tex]
Round [tex]10.246[/tex] to get [tex]10.3[/tex]
A projectile is thrown into the air. The equation y=-3x² - 12x + 96 represents the path of the projectile, where x represents the amount of time in seconds. How long is the projectile in the air, in seconds?
As this is when it hits the ground, the projectile is in the air for 6 seconds.
Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.
What is a projectile?Objects that are thrown, shot, or launched with a certain initial velocity and then move against the forces of gravity and air resistance are known as projectiles. Projectiles can be anything from arrows and bullets to rocks and water balloons. Typically, a bow, slingshot, gun, or cannon is used to fire them. When projectiles are launched, gravity, air resistance, and other forces influence their trajectories.
from the question:
We must discover the moment the missile strikes the ground in order to calculate how long it was in the air. The height of the missile above the earth would be zero at that point.
Thus we must resolve the following equation:
y = -3x² - 12x + 96 = 0
We can use the quadratic formula to solve this equation in the quadratic form:
x = (-b ± √(b² - 4ac)) / 2a
where a = -3, b = -12, and c = 96.
Plugging in these values, we get:
x = (-(-12) ± √((-12)² - 4(-3)(96))) / 2(-3)
x = (12 ± √(144 + 1152)) / (-6)
x = (12 ± √1296) / (-6)
x = (12 ± 36) / (-6)
So, the solutions are:
x = -2 or x = 6
Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.
As a result, the missile is in the air for 6 seconds before it strikes the earth.
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4.A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 2/3 of the whole pizza.
Which equation represents a way to find the total number of slices that were in the whole pizza?
A. 2/3.x=4
B. 4.x=2/3
C. 2/3+x=4
D. x= 4.2/3
The equation that represent the whole slices is as follows:
2 / 3 x = 4 .
Therefore, the answer is A.
How to find the equation to represent an expression?A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 2/3 of the whole pizza.
Therefore, the equation that represent a way to find the total number of slices that were in the whole pizza can be calculated as follows:
Let
x = amount of the whole pizza
Therefore,
2 / 3 x = 4
cross multiply
2x = 4(3)
2x = 12
x = 12 /2
x = 6
Therefore, the whole slice is 6.
Hence, the equation is 2 / 3 x = 4
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Can someone help me with this question
Answer:
I think z>1.5 because it is not bold and underlined
if 20% of 200 people know how to ski, how many people know how to ski
Answer:
200 x 20% = 200 x 20/100 = 40.
Answer is 40.
Translation: 4 left and 2 down
Answer:
Step-by-step explanation:
I first move the dot left by 4 by counting them. Then move it down by 2.
Answer: So What you want to do is Move left 4 and down 2, then do it again
Step-by-step explanation:
Please help! 14 points, one right answer.
Answer:
C. [tex]\frac{n+4}{2}[/tex]
Step-by-step explanation:
"the sum of a number (n) and 4" --> n + 4
"divided by 2" --> this means the whole expression will be divided by 2
Therefore, the final answer is the third option!
Hope this helps!! :)
need help with problem 6 need test stastic and p value
In response to the query, we can state that The p-value, rounded to four probability decimal places, is 0.0056.
What is probability?Mathematicians use probability theory to determine the chance that an event will occur or a statement is true. A probability of about 0 reflects how probable an event appears to occur, whereas a risk is a value between 0 and 1, where 1 suggests certainty. Probability is a mathematical representation of the likelihood that a specific event will take place. Other ways to express probabilities are as integers between 0 and 1 or as percentages between 0% and 100%. the ratio of events among equally likely options that lead to a certain event to all other outcomes.
The sample proportions for the first and second populations are respectively p1 = 0.25 and p2 = 0.223. The samples had n1 = 587 and n2 = 251 respectively.
For this sample, the test statistic is provided by:
z is equal to (p1 - p2) / sqrt(p hat * (1 - p hat) * (1/n1 + 1/n2)).
where p hat is the pooled sample proportion and n1 + n2 is the sample size.
When we change the values, we obtain:
z = (0.25 - 0.223) / sqrt(0.236 * (1 - 0.236) * (1/587 + 1/251)) = 2.541
The test statistic, rounded to three decimal places, is 2.541.
, we hunt for the region in the standard normal distribution's right tail that corresponds to a z-score of 2.541. We calculate this area to be 0.0056 using a calculator or a table.
The p-value, rounded to four decimal places, is 0.0056.
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Please help me anyone ?!!!
Answer:
18 dollars
Step-by-step explanation:
he is left with 8 dollars. He buys one granola bar (2), one smoothie (3), and one sandwich (5).
This means that he has spent 2 dollars, 3 dollars, and 5 dollars, which totals 10 dollars (2 + 3 + 5 = 10). He is left with 8 dollars, so we know that he originally had 18 dollars because 10 + 8 = 18.
When rounding to the nearest 10, which of the numbers below will round to 90? Select all that apply.
Therefore , the solution of the given problem of rational numbers comes out to be 92 and 95 are the numbers that, when rounded to the closest 10, will equal 90.
What exactly is rational numbers?Any number that can be expressed as a ratio (not a portion) of two integers is considered rational. A reasonable fraction is one that has a nonzero denominator. 1/2, 1/5, but also 3/4 are a few examples of rational integers. "0" may additionally be expressed in a variety of forms as an actual function, like 0/1, 0/2, and 0/3. However, 1/0, 2/0, 3/0, etc. It makes logical that there are seven. When two parameters are divided, a rational number results.
Here,
We glance at the digit in the ones spot to round a number up to the nearest 10. In that case, we round down to the prior multiple of 10 if the digit is 0, 1, 2, 3, or 4. We round up to the following multiple of 10 if that number is 5, 6, 7, 8, or 9.
Finding numbers with a ones place digit between 5 and 9 will enable us to round to the closest 10 and arrive at 90. The figures that would round to 90 are as follows:
=>92
=> 95
As a result, 92 and 95 are the numbers that, when rounded to the closest 10, will equal 90.
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Malik plans to make changes to his yard. He wants to double the lengths of the sides
of the garden, using the right angle vertex as the center of dilation. His garden will
then be rotated 180° about the right angle vertex and moved 11 feet to the right and
13 feet up.
Answer:
48.2 degrees
Step-by-step explanation:
look at photo
What is the sum of 9 16 9 16 and 5 16 5 16 ? A. 14 32 14 32 B. 10 16 10 16 C. 12 16 12 16 D. 14 16
Answer:
A
Step-by-step explanation:
Arrange the 4 set of numbers above each other and add the corresponding numbers.
9 and 5, 16 and 16, 9 and 5, 16 and 16
Answer:
the sum of 9 16 9 15 and 5 16 5 16 is 14 32 14 32 which is (A)
Step-by-step explanation:
9 16 9 16+
5 16 5 16
14 32 14 32
Please help me :( I would appreciate it.
use the Remainder Theorem and synthetic division please
Answer:
f (3) = 142
Step-by-step explanation:
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Brainlist for quickest answer
Which of the following describes an approach used to harness tidal energy?
I. Floating platform with turbines
II. Floating ship with turning pendulum
III. Having water spin turbines attached to fence
I only
II only
I and II
I, II, and III
Sure! Tidal energy is a type of renewable energy that is harnessed from the movement of ocean tides. There are different approaches to harnessing tidal energy, but the three options given in the question are:
I. Floating platform with turbines: This approach involves anchoring a floating platform in the tidal zone, where the rise and fall of the tides can be used to turn turbines and generate electricity. The turbines are connected to generators, which convert the mechanical energy of the turning turbines into electrical energy. This approach is commonly used in commercial tidal energy projects, such as the MeyGen tidal energy project in Scotland.
II. Floating ship with turning pendulum: This approach, also known as the "pendulor" or "pendulum" system, involves a floating ship or barge that is anchored in the tidal zone. The ship is designed to swing back and forth with the movement of the tides, and this movement is used to turn a pendulum, which in turn drives a generator. The idea behind this approach is that the ship's movement can be used to generate more energy than just the up-and-down motion of a floating platform with turbines. However, this approach is still in the experimental phase and has not yet been deployed on a commercial scale.
III. Having water spin turbines attached to fence: This approach involves installing turbines directly in the flow of tidal currents. The turbines are attached to a fence-like structure, which guides the flow of water and increases the speed of the current as it passes through the turbines. The spinning turbines generate electricity, which is then sent to a generator and converted into usable power. This approach is also known as "barrage" or "fence" technology, and it has been used in a few commercial tidal energy projects, such as the La Rance tidal power plant in France.
So, to answer the question, the correct answer is "I and III" since both involve using turbines to generate electricity from the movement of ocean tides.
Floating platform with turbines and Having water spin turbines attached to fence best describes an approach used to harness tidal energy.
What is Energy?Energy is the capacity to do work
The approach used to harness tidal energy is described by option I and III.
I. Floating platform with turbines - This involves placing turbines on floating platforms that are anchored to the seabed.
As the tide comes in and out, the water flows through the turbines, generating electricity.
III. Having water spin turbines attached to fence - This involves building a fence-like structure across a tidal inlet.
As the tide comes in and out, the water flows through the fence and spins turbines, generating electricity.
Option II, floating ship with turning pendulum, does not describe an approach used to harness tidal energy.
Therefore, floating platform with turbines and having water spin turbines attached to fence best describes an approach used to harness tidal energy.
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in miami fl, a rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car
The equation that shows the total cost of renting the car from the company is y = 0.45x + 20
How to solve an equation?An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.
Let y represent the total cost of renting a car from a company and travelling x miles.
The rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car, hence:
y = 0.45x + 20
The equation is y = 0.45x + 20
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Point a,b, and c are collinest. Point b is between a and c. AC = -3 + 6x, AB = 3x - 3, and BC = 9. Find x.
Therefore , the solution of the given problem of equation comes out to be x has a value of 4.
Define equation.The equation y=mx+b is the basis of a linear regression model. B is the slope, and m is the y-intercept. The aforementioned sentence is repeatedly alluded to as a "math problem with two variables," despite the fact that y and y are distinct parts. In bivariate linear equations, there are only two variables. The application regions for linear equations have no definitive solutions.
Here,
We could use segment addition principle to write: since B is situated between A and C.
=> AB + BC = AC
Inputting the numbers provided yields:
=> -3 + 6x = 3x - 3 + 9
When we simplify the solution, we get:
=> 6x - 3x = 9 + 3
=> 3x = 12
=> x = 4
Consequently, x has a value of 4.
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4.A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was of the whole pizza.
Which equation represents a way to find the total number of slices that were in the whole pizza?
A. 3.x=4
B. 4.x=
C. 3+x=4
D. x= 4.3
Based on the information, we can infer that the expression that tells us how many slices the entire pizza had is x = 4 * 3 (option D).
How to find the correct expression?To find the correct expression we must take into account the information that the statement gives us:
Ben ate 4 slices.Ben ate 1/3 of the pizza.Based on the above, if Ben ate 1/3 of the pizza, we must multiply 4 * 3 to find the total number of slices on the pizza.
x = 4 * 3x = 12So the pizza had 12 slices. To check this result we can divide it by 3 to find out if 1/3 of 12 is equal to 4.
12 / 3 = 4Note: This question is incomplete. Here is the complete information:
4. A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 1/3 of the whole pizza. Which equation represents a way to find the total number of slices that were in the whole pizza?
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Need help with math problem
The measure of angle WUX is 78⁰.
option D.
What is the measure of angle WUX?
The measure of angle WUX is calculated by applying the following triangle principles.
∠ VUX + ∠VXU = 90 ( complimentary angles )
7x + 11 + 11x + 7 = 90
18x + 18 = 90
18x = 72
x = 72/18
x = 4
The measure of angle VXU is calculated as;
∠VXU = 11x + 7
= 11 x 4 + 7
= 51⁰
The measure of angle UWV is calculated as;
∠ UWV = 6x + 27
= 6 x 4 + 27
= 51⁰
The measure of angle WUX is calculated as;
∠ WUX = 180 - ( 51 + 51 ) ( sum of angles in a triangle )
∠ WUX = 180 - 102
∠ WUX = 78⁰
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1. Is b greater than or less than 2? Explain how you know. 2. Write an equation that defines g. Show your reasoning. 3 f and g represent the number. In thousands. Of social media followers of two organizations as a function of years since 2010. What does the intersection of f and g mean in this context?
The variable b is greater than 2
The equation that defines g is g(x) = 3(4)^xThe intersecting of f and g is the year the they have equal followersHow to determine if b is greater or less than 2The graph (see attachment) represents the given parameter
The function g is given as
g(x) = a * b^x -- the red line
Using the points on the graph, we have
b = 12/3
b = 4
So, b is greater than 2
Equation that defines gIn (a), we have
g(x) = a * b^x -- the red line
Where
a = g(x) when x = 0
So, we have
a = 3
The function becomes
g(x) = 3(4)^x
The meaning of the intersecting of f and gBased on the function definitions, the intersecting of f and g represent the year when the organizations have the same number of followers
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