A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.

Answers

Answer 1

The equation of the car rental company in the form y = kx is; y = 18.50x

The equation y = kx is such that;

y = dependent variable

x = independent variable

k = constant of proportionality.

In essence; to determine the constant of proportionality, k in this case;

k = y/x

Since the company charges, $55.50 for 3 days; we have;

By evaluation k = $55.50/3

k = 18.50.

A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant

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Related Questions

(Pythagorean theorem) do the following lengths form a right triangle? (Show steps)

Answers

Answer:

yes

Step-by-step explanation:

Pythagorean theorem equation is a²+b²=c²

c is the longest side which is 5. a and b dont matter in this case

3²+4²=5²

9+ 16 = 25..........simply

25 = 25...............true, these numbers form a right triangle

What is the value of x in the triangle?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5 \sqrt{3} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

[tex] \tan(30) = \dfrac{x}{15} [/tex]

[tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex]

[tex]x = \dfrac{15}{ \sqrt{3} } [/tex]

[tex]x = 5 \sqrt{3} [/tex]

on weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum number of tickets kate can buy with $205
STEP BY STEP EXPLANATION PLEASE

Answers

$10.50

10 Tickets would be $105.00

$105.00 - $10.50 = $94.50 so 9 Tickets would be $94.50

$105.00 + $94.50 = $199.50

$205.00 - $199.50 = $5.50 which isn't enough for another ticket.

10 Tickets + 9 Tickets = 19 Tickets.

does the point (5 6) satisfy the equation y = 2x - 7

Answers

Answer: No

Step-by-step explanation: To determine this, all we have to is plug our ordered pair into the equation for x and y.

Remeber that the first number is our x-coordinate and our second

number is our y-coordinate so we plug a 5 in for x and a 6 in for y.

So we have (6) = 2(5) + 7 or 6 = 10 + 7 or 6 = 17.

Since this is not a true statement, this point doesn’t satisfy the equation.

Please help me ASAP I’m gonna fail this !!!

Answers

Answer:

90% sure it's the 4/5 x 4/5 answer. Might be wrong though.

HELP *picture inserted*

Answers


The answer is b……..

PLEASE HELPPPPP

Use the information to answer questions 14 – 17.


Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.


Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.


A.

(2.5, 15)


B.

(5, 20)


C.

(7.5, 12.5)


D.

(17.5, 5)


E.

(19, 1)

Answers

Answer:

x ≤ 13 2/5 and y ≥ 6 2/3

Step-by-step explanation:

system of equations would be:

x + y ≤ 20

5x + 8y ≥ 120

if you solve this system you get the answer above

Six children collect 45 pencils. 20% of the pencils need sharpening. How many pencils need
sharpening?

Answers

Answer:

9

Step-by-step explanation:

45*2/10=45*1/5=9

Answer:

9

Step-by-step explanation:

A chessboard has 8 rows of squares with 8 squares in each row . Two players each put 16 chess pieces on the board , with each piece on its own square. How many squares are empty now? Explain your answer.

Answers

Answer:

40

Step-by-step explanation:

8x8 if 56 - 16 = 40

Which equation represent this statement?

5 less than twice a number is 3

2n - 5 = 3

2n - 3 = 5

5 - 2n = 3

3 - 2n = 5

Answers

2n - 5 = 3
Twice a number is 2 * n
5 less is subtracting 5
Making the statement 2n - 5 = 3

Answer: It was 2n-5=3 The other guy was right

Step-by-step explanation: I took the K12 test.

7 is 75% of what number?

Answers

Answer:

9 1/3

Step-by-step explanation:

7 - 75%

x - 100%

[tex]\frac{7 * 100}{75} = 9\frac{1}{3}[/tex]

Answer:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Step-by-step explanation:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment for question

Answers

Answer:

DEF

Step-by-step explanation:

If you turn it and line it up with C on D, B on E, and A on F, the similar line symbols match.

f(x)=-x^2+9x+4f(x)=−x2+9x+4\text{Find }f(-8)Find f(−8)

Answers

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

    = -2(16) -32-10

    = -32 -32-10

   = -74

-8 less than a number is no more than 12

Answers

Answer:

-8 < x ≤ 12

Step-by-step

-8 less than a number would give you

-8 <

a number no more than 12 would give you

x ≤ 12

giving x because we dont know what the number is-

so your full anser would be-

-8 < x ≤ 12

What are the steps for solving -3/10 + 4/10

Answers

Answer:

1/10

Step-by-step explanation:

-3/10+4/10=4/10-3/10

                =1/10

Given the complementary angle of y is 43º. Find the supplementary angle of y​

Answers

Step-by-step explanation:

complementary = adds up to 90 degrees.

supplementary = adds up to 180 degrees.

the complementary angle of y is 43 degrees.

so, y = 90 - 43 = 47 degrees.

the supplementary angle of y = 47 is

180 - 47 = 133 degrees

Hello!

Given the complementary angle of y is 43º.

90 - 43 => 47°

Find the supplementary angle of y​

180-43 => 137°

help me help me help me

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required expression is ~

[tex] \sqrt{8} [/tex]

[tex] \sqrt{2 \times 2 \times 2} [/tex]

[tex]2 \sqrt{2} [/tex]

[tex] {2}^{1} \times{ 2 }^{ \frac{1}{2} } [/tex]

[tex](2 ){}^{1 + \frac{1}{2} } [/tex]

[tex]2 {}^{ \frac{2 + 1}{2} } [/tex]

[tex] {2}^{ \frac{3}{2} } [/tex]

I hope it helps ~

Will give brainliest!

Answers

Answer:

D. 5/4

Step-by-step explanation:

Reciprocal is flipping that number around

Jenny went to the store with $10 and returned home
with 5 gallons of milk and $1.30 in change. What was
the cost of each gallon of milk?

Answers

Answer:

The milk is priced at $1.74/gallon

Step-by-step explanation:

If Jenny started out with $10 and ended up with $1.30 in change, she must have spent $10 - $1.30, or $8.70.

                                                        $8.70

Then the unit price for the milk is ---------- = $1.74 per gallon

                                                         5 gal

7x+1/3=2 2/3
Help me please

Answers

7x + 1/3 = 2 2/3
7x = 7/3
x = 1/3
x is equal to 1/3
x= 1/3

Pls help i only have 20 mins to complete

Answers

Plz post your question now....

the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u

Answers

Answer:

6u - 15/2 inches

Step-by-step explanation:

(2/3)rope = 4u - 5

multiply both sides by 3/2

rope = 6u - 15/2

Kayla states the following about the graph of

y = (x + 5) (x - 5) (x + 3)

This equation is 2nd-degree so both arrows will be pointing
the same way.
The ends of the equation will both be pointing up since the
leading coefficient is positive.

Describe in words, in as many ways as you know how, how you
would tell this student whether they were right or wrong.

Answers

Answer:

x^1=-5, x^2=-3, x^3=5

Step-by-step explanation:

Sale price = original price - rate of discount is the formula we used if original price and rate of discount are given. True or False, provide some explanation​

Answers

Answer:

I say true

Step-by-step explanation:

How to calculate discount and sale price:

Find the original price (for example $90 )

Get the discount percentage (for example 20% )

Calculate the savings: 20% of $90 = $18.

Subtract the savings from the original price to get the sale price: $90 - $18 = $72.

And You're all set!

Answer:

False

Step-by-step explanation:

Sale price = original price - rate of discount * original price

Rate of discount is a percent  so we need to multiply by the original price to get a a price so that all the units are the same.

Please help me with this homework

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (-3,-1) ~ \text{and slope, m=2.}\\\\\\\text{Equation with two points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +1 = 2(x +3)\\\\\text{Hence the answer is B}[/tex]

Does this represent a function?

Answers

Question:

Does this represent a function?

Explanation:

: Determine whether a relation represents a function.

:Find the value of a function.

: Determine whether a function is one to one.

:Use the vertical line test to identify functions.

:Graph the functions listed in the library functions.

Answer:

No

Here’s the full picture only 44, 45, 46, and 47

Answers

Answer:

m∠6 = 115; m∠5 = 115; m∠1 =  130; m∠4 = 65

Step-by-step explanation:

44.  m∠6 = 180 - 65 = 115

45. m∠5 = 180 - 65 =115

46. m∠1 = 180 - 50 = 130

47. m∠4 = 180 - (50+65) = 180 - 115 = 65

Answer:

the person below is correct

Step-by-step explanation:

hope it helped have an amazing night :)❤

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y=3x-1

Step-by-step explanation:

Use slope intercept form (y=mx+b) to plug in the values for m and b

Jane bought 8 packs of red bouncy balls, 4 packs of yellow bouncy balls, and 4 packs of green bouncy balls. There were 8 bouncy balls in each package. How many bouncy balls did Jane buy in all?

Answer for 87 points <3

Answers

Answer:

128

Step-by-step explanation:

8×8 = 64

8×4 = 32

8×4 = 32

64 + 32 + 32 = 128

Help me with this please!!

Answers

Answer:

A=2/6 B=5/6

Step-by-step explanation:

I really hope this helps! (i love math!)

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