Sarah paid $1,932 in tax on her new car

which had a purchase price of $80,500.

Which other car tax & price

varies directly with hers?

A) Purchase Price = $68,000 & Tax = $1,020

B) Purchase Price = $92,000 & Tax = $2,760

C) Purchase Price = $75,000 ¢ Tax = $1,350

D) Purchase Price = $85,000 & Tax = $2,040

Answers

Answer 1

Answer: D. Purchase Price = $85,000 & Tax = $2,040

Step-by-step explanation:

From the question, Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500. The constant of proportionality here will be:

= $80500 / $1932

= 41.67

The options that varies directly with the above will be:

A. Purchase Price = $68,000 & Tax = $1,020

Constant of proportionality

= $68000 / $1020 = 66.67

B) Purchase Price = $92,000 & Tax = $2,760

Constant of proportionality:

= $92000 / $2760

= 33.33

C) Purchase Price = $75,000, Tax = $1,350

Constant of proportionality:

= $75000 / $1350

= 55.56

D) Purchase Price = $85,000 & Tax = $2,040

Constant of proportionality:

= 85000 / 2040

= 41.67

Based on the calculation, we can see.that option D has thesame constant of proportionality with the figure calculated.


Related Questions

To graph slope-intercept form, put a point at the _________, then use the _________ to rise and run

Answers

Answer:

b and m or known the y-intercept and slope

Step-by-step explanation:

you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.

then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.

hope that helps

8, 15, 20, 23, 29, 25, 30, 24, 28, 35, 32, 28, 27, 27, 25, 28, 29, 14, 22, 18 what is the outlier?

Answers

Answer:

17

Step-by-step explanation:

Find x , the angle of depression from the top of a lighthouse that is 173 ft above water level to the waterline of a ship 1119 ft off shore. Round your answer to the nearest tenth of a degree.

Answers

Answer:

arc tan (angle) = 1,119 / 173

arc tan (angle) = 6.4682080925

angle = 81.212 Degrees

Step-by-step explanation:

Based on what we established about the classification of x and using the closure of integers, what does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number?

Answers

The conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

What is a rational number?

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q). However, both of the numbers are genuine and can be shown on a number line.

It should be noted that the conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

For example, we can conclude that ½+√2 is irrational.

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The Nut House sells peanuts for $6.75 per pound and cashews for $9.50 per pound. On Saturday, they sold 32 pounds more peanuts than cashews. The total sales for both types of nuts was $1,012.25. Write and solve an equation to find the number of peanuts sold. Round your answer to the nearest whole pound.

Answers

Answer:

81 pounds

Step-by-step explanation:

Given that:

Peanut per pound = $6.75

Cashew per pound = $9.50

Let

Number of cashews sold = x

Number of peanuts sold = x + 32

Total sales made = $1,012.25

(Number of caahew sold * cost of cahew) + (Number of peanut sold * cost of peanut) = total sales made

(x * 9.50) + [(x + 32) * 6.75)] = 1012.25

9.50x + 6.75x + 216 = 1012.25

16.25x = 796.25

x = 796.25 / 16.25

x = 49

Number of peanuts sold = x + 32 = 49 + 32 = 81

How many hours and minutes are 8:15 a.m. to 2:53 p.m.

Answers

8.15-8.20 - 5 mins
8.20-9 - 40 mins
9am-2pm - 5 hours
2pm-2.53 - 53 minutes
add all and you get
6 hours and 38 mins <3

Answer:

There are 6hrs and 38 minutes between 8:15 am and 2:53 pm

Step-by-step explanation:

8:15 a.m- 9:15 am= 1 hr

9:15 am- 10:15 am= 1 hr

10:15 am-11:15 am=1 hr

11:15 am- 12:15 pm= 1 hr

12:15 pm- 1:15 pm= 1 hr

1:15 pm- 2:15 pm= 1hr

2:15 pm-2:53 pm= 53-15= 38 min

What is the direct distance between centerville and capital city round to the nearest kilometer

Answers

The direct distance between Centerville and Capital City round to the nearest kilometer is 1,336 kilometers.

The distances between Centerville, Springfield, and Capital City form a right triangle in geography.

The distance between Centerville and Springfield is 913 kilometers, and the distance between Springfield and Capital City is 976 kilometers.

Let x be the direct distance between Centerville and Capital City using the formula

By Pythagorean theorem, we get

                                      913² + 976² = x²

                         833,569 + 952,576 = x²,

                                                      x² = 1786145

                                                       x = √1786145

                                                       x = 1336.46736

Hence, we get x = 1,336.46736 rounding to the nearest tenth is 1,336 kilometers.

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what is an algebra?​

Answers

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Write a segment addition problem using three points that asks the student to solve for x but has a solution x=20

Answers

A segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.

How to Apply the Segment Addition Postulate?

Assuming point E is located between points D and F on a straight line, points D, E, and F are collinear, and based on the segment addition postulate, we have the equation that is true:

DE + EF = DF.

Let's assume that we have the following lengths:

DE = 2x

EF = 3x

DF = 100

Therefore, we would have the following:

2x + 3x = 100

5x = 100

5x/5 = 100/5

x = 20.

Therefore, a segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.

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Help someone I’ll give brainlist

Answers

Answer:

D

Step-by-step explanation:

Answer: I think B

Step-by-step explanation: Hope it helped! :)

a-4 = -5*
(5 Points)
-9
O 20
O-1
-5/4

Answers

It’s -1. Hope it hels

Simplify. Enter the answer in the box.

Please help!!!!

Answers

1.1 Simplify the radical

what is 6775355 x 686878756 in math

Answers

Answer:

4.6538474e+15

Step-by-step explanation:

solve for x- 5(x+4)=30​

Answers

Answer: x= -12.5

Step-by-step explanation:

Start with distributing-5(x+4) or you get

x-5x-20=30

Add x and -5x to get -4x

Thank you add 20 to each side and get

-4x = 50

Divide by -4 on each side to get x=-12.5

Answer:

x=-25/2 is the answer.

Step-by-step explanation:

Below are the steps for solving the equation:

Step 1: Simplify, combine like terms, and distribute:

x−5(x+4)=30

x+(−5)(x)+(−5)(4)=30

x+−5x+−20=30

(x+−5x)+(−20)=30

−4x+−20=30

−4x−20=30

Add 20 to each side:

−4x−20+20=30+20

−4x=50

Divide each side by -4:

-4x/-4=50/-4

x=-25/2, which is -12.5 as a decimal.

So, your answer is x=-25/2 as a fraction, which is also -12.5 as a decimal.

The milligrams of aspirin in a person's body is given by the equation a = 500 x (3/4)^t , where is the number of hours since the patient took the medicine. In the equation, what does the 500 tell us about the situation?

Answers

Answer:

m=y8+2x

Step-by-step explanation:

brainly alert pls help ill give ya brainly pls i beg u helpp

Answers

Answer:5 Hours

Step-by-step explanation:

160/4 = 40 miles per hour

200/40 = 5

Answer:

8 hours

Step-by-step explanation:

there are 360 miles total because it already covered 160 and there are 200 left.  160 / 4 = 4 hours per 40 miles.  200 is 40 more miles than 160.  This means that it is the 4 hours of 160 miles in that 200 + 4 more hours for 40 miles.  Add them together and you get 8 hours.

what is the ratio of 96:24 in simplest form

Answers

Answer:

4:1

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

The pair of points lies on the same line with the given slope. Find x.
(5,-20), (X, - 29); slope = -3
Find x.
X=
(Type an integer or a simplified fraction.)

Please help I really need to to bring up my grade before the semester ends!!!!

Answers

Can u answer my question in my profile

The ruler below shows a 7-inch segment divided into 2 equal parts. What is the length of one of those parts?

Answers

Answer:

3.5

Step-by-step explanation:

7/3= 3.5 or 3 1/2

i really need help with this please!! i need it by 12:00 tonight

Answers

After the first () where it shows a minus it’s suppose to be 4x not -4x because a negative times a negative is a positive. So it’s 4x that’s where she made the mistake

What is the common differenice for this arithmetic sequence?
-6, -2, 2, 6, 10,...

a. 3
b. 5
c. 6
d. 4

Answers

Answer:

The answer is D.

Step-by-step explanation:

The difference between each term is 4.

-2 - (-6) = 4

2 - (-2) = 4

6 - 2 = 4

10 - 6 = 4

d. 4

here, -2-(-6)= -2+6=4

2-(-2)= 2+2=4

6- 2 = 4

10-6 = 4

so the common difference of them is 4.

I am struggling with transformations,rotation on a cartesian plane,how do we do it?​

Answers

Greetings from Brasil...

Translations

Just add or subtract an m value for all X coordinates as well as add or subtract an n value for all Y coordinates of the figure.

P(X; Y) → P'(X ± m; Y ± n)

If the figure has 3 points (A, B and C), we would be left with:

A(X, Y) ; B(X₂; Y₂) ; C(X₃; Y₃)

A(X, Y) → A'(X ± m; Y ± n)

B(X₂; Y₂) → B'(X₂ ± m; Y₂ ± n)

C(X₃; Y₃) → C'(X₃ ± m; Y₃ ± n)

in our example - see attached figure - let

m = 4

n = - 1

(these values of m=4 and n=-1 were chosen by me arbitrarily)

A(1; 2) → A'(1 + 4; 2 - 1) ⇒ A'(5; 1)

B(2; 3) → B'(2 + 4; 3 - 1) ⇒ B'(6; 2)

--------------------------------------------------------------------------

Rotations

The expression (formula) for rotation will be:

P(X; Y) → P'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)

Let rotate 90° (counter-clockwise): cos 90 = 0 and sen 90 = 1, then

P(X; Y) → P'(-Y; X)

in our example - see attached figure

A(1; 2) → A''(-2; 1)

B(2; 3) → B''(-3; 2)

______________________________

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What is the least amount of information that you need to construct a triangle congruent

Answers

Answer:

6 points of data, minimally.

Easiest if they are 3 points.

All data is going to be comprised of more than one unit of data itself.

For 3 points, we need 6 coordinates.

For 3 lines, we need 2 points each, and then 2 coordinates for each point.

Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.

Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.

So in a 2D space, the information required to make a figure is twice the number of vertices.

Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.

“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”

Edit… A closed figure made only of straight line segments.

I'm sorry if it has any wrong ‍♀️

Two or more triangles are said to be congruent when they have equal length of sides, and measure of internal angles. The least amount of information required are:

the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.

Triangles are shapes that has three sides, and three internal angles which sum up to [tex]180^{o}[/tex].

The construction of a congruent triangle to any given one implies producing the replica of the given triangle. Thus both triangles would have the same length of sides, and measure of internal angles.

Some of the steps required in construction of a congruent triangle to a given one are:

1. Draw a line with a straight edge and mark a starting point.

2. copy one of the angles of the given triangle to the marked point on the line drawn.

3. Copy the length of sides of the triangle appropriately.

5. Copy the measures of other angles and length of sides to complete the congruent triangle.

Therefore, some of the least amount of information to be known for the construction are:

the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.

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I need help with this question please

Answers

1500x0.045=67.5
67.5x3=202.5
202.5$ for 3 years
1500+202.5=1702.5

tbh idk if it subtraction or addition but if its subtraction then do 1500-202.5

Sarah is going to the amusement park, where she has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Sarah will spend is given by the equation y=1.5x+16 where y represents the total amount of money, in dollars and cents, and x represents the number of rides Sarah goes on. What is the meaning of the y-value when x=1?

Answers

Sarah had spent a total amount of $17.5 as y represents the total amount when x which represents the number of rides which will be 1.

In the given question, It is stated that Sarah had a set price for admission and for ride tickets. The equation representing this situation given in the question is y = 1.5x + 16, where y represents the total amount of money Sarah will spend, and x represents the number of rides she will have in the park.

We have been given a situation in which the value of x is set to be 1. So, taking x = 1 in the equation y = 1.5x + 16, We get :

       => y = 1.5(1) + 16   => y = 17.5

Here we get y = 17.5 which will be the total amount Sarah will spend in the amusement park.

Hence, when x = 1, y tells us the total amount Sarah spends in the amusement park which will be $17.5

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139 students choose to attend one of three after school activities: football, tennis or running.
There are 66 boys.
56 students choose football, of which 28 are girls.
54 students choose tennis.
18 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form

Answers

Probability = no of students choose running/total no of students
= 18/139

Giving brainliest & a thanks if you answer all of them

At a party store, packages of 12 noisemakers are $2 each. Packages of 9 party hats are $15 each. Mia wants to buy equal numbers of noisemakers and hats.
What is the least amount of money Mia can spend?

To get that many noisemakers and hats:
How many packages of noisemakers does Mia need to buy?
How many packages of hats?

If Mia buys that many packages of each item, what is her total cost? Show your work.

Answers

Answer:

the lowest amount mia can spend is $75

Step-by-step explanation:

3x12=36

12x3+15 this is for the noise makers

9 x 4= 36

15 x 4 = 60

60+15=75

she will spend 75 dollars on party suplies

he table shows the amount of money raised by each region. The four regions raised a total of $ ( 5 . 38 × 10 4 ) . Region Amount Raised ($) East 1 . 46 × 10 4 North 2 . 38 × 10 4 South 6 . 75 × 10 3 West ? How much did the West raise? Express the result in scientific notation.

Answers

Answer: 8.65*103

Step-by-step explanation:

Using scientific notation, it is found that the amount raised by the West, in dollars, is of:

[tex]8.65 \times 10^3[/tex]

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

Combined, the amount raised by the North, South and East is:

[tex]2.38 \times 10^4 + 6.75 \times 10^3 + 1.46 \times 10^4[/tex]

To add numbers, they need to have the same exponent, hence:

[tex]6.75 \times 10^3 = 0.675 \times 10^4[/tex]

To add the numbers, we add the bases and keep the exponents, hence:

[tex]2.38 \times 10^4 + 0.675 \times 10^4 + 1.46 \times 10^4 = 2.38 + 0.675 + 1.46 \times 10^4 = 4.515 \times 10^4[/tex]

The total amount is given in the problem, hence the amount raised by the West is:

[tex]5.38 \times 10^4 - 4.515 \times 10^4 = 0.865 \times 10^4 = 8.65 \times 10^3[/tex]

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Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(8,7) & (4,5)

Answers

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the slope you can use the slope equation:

[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]

Let's define the terms in the equation:

y2 = 5

y1 = 7

x2 = 4

x1 = 8

Now, let's put these into the equation and solve:

[tex]slope = \frac{5 - 7}{4 - 8} = -\frac{2}{4} = -\frac{1}{2}[/tex]

Therefore, the slope is -1/2.

I hope this helps!!

- Kay :)

s(x)=-x+1
t(x)=-x²-1

find the value of t(s(2))​

Answers

Answer:

t(s(2)) where s(x) = -x + 1, t(x) = -x^2 - 1 = -2

Step-by-step explanation:

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