Two car rental companies charge an initial rental fee plus a fee per day. The table shows the total costs of renting a car for x days from
Discount Car Rentals. The total costy (in dollars) of renting a car for x days from Pay Less Rentals is represented by the equation
y=25x + 170. Which rental company charges less per day? How many days must you rent a car for the total costs to be the same?

Two Car Rental Companies Charge An Initial Rental Fee Plus A Fee Per Day. The Table Shows The Total Costs

Answers

Answer 1

Answer:

Step-by-step explanation:

Two car rental companies charge an initial rental fee and a fee per day.

Total cost for the company A is given by the equation,

y = 25x + 170

Car A charges $25 per day. [Slope of the line]

Another car rental company B charges as per table attached.

Per day car rental for the company B = [tex]\frac{270-180}{4-2}[/tex]

                                                              = [tex]\frac{90}{2}[/tex]

                                                              = $45 per day

Therefore, per day rental charged by company A is less.

Let the equation for the car rental by company A is,

y = mx + b

where m = per day rental charged by company A = $21.5

y = 45x + b

One point (2, 180) from the table lies on the equation.

Therefore, 180 = 45(2) + b

b = 180 - 90

b = 90

So the equation will be,

y = 45x + 90

If both the company charge the same after x day of rental,

45x + 90 = 25x + 170

45x - 25x = 170 - 90

20x = 80

x = 4

After 4 days car rentals for both the companies will be same.


Related Questions

Laurie used 5 yards of fabric to make 2 costumes for the school play. How many yards of fabric would she need to make 20 more of these costumes?

Answers

Answer:

50 yards.

Step-by-step explanation:

Since we know that 5 yards can make 2 costumes, we can divide 5/2 to find 2.5 yards are needed to make one costume. Then you can multiply 2.5*20 to get 50 yards needed for 20 costumes. Hope this helps :)

Fill in the blanks 1. The degree of a linear equation is ? 2. The constant term has a degree ? 3. The solution of the equation ax + b = 0 is ? 4. If 2x - 3 = 0 then the value of x is ? 5. The value of x which satisfies the equation (- 8) = 2x + 4 is ? 6. The solution of the equation 10 - (x + 2) = 7x is ? 7. A linear equation in one variable has _________ solution ? 8. The sum of the two consecutive multiples of 10 is 210. The smallest multiple is 9. Convert the statement "adding 15 to 4 times x is 39" into an equation 10. Value of "S" in 1/3 + S = 2/5 is ?

Answers

Answer:

Step-by-step explanation:

A linear equation is of the form ax+b and the highest degree of x is 1. You can see that from the power of x which is 1.

The power of x is zero from the equating. It is not reflecting because anything raise to power if zero gives 1

To get the solution of the equation ax+b = 0

We will make x the subject of the formula

ax = -b

Divide both side's by a

ax/a = -b/a

x = -b/a

If 2x-3 = 0

2x = 0+3

2x = 3

2x/2 = 3/2

x = 3/2

Given -8 = 2x+4

2x = -8-4

2x = -12

x = -12/2

x = -6

A linear equation in one variable is known to have ONE solution. This is as demonstrated in the equation above, we cans see that the only solution is -6(just one solution)

Convert the statement "adding 15 to 4 times x is 39" into an equation 1

The product of 4 and x is 4x

Adding 15 to 4x will give

15+4x

If the resulting expression is equal to 39, the final equation will be;

15+4x = 39

10) given 1/3+S = 2/5, we are to find S

S = 2/5-1/3

S = 6-5/15

S = 1/15

Hence the value of S is 1/15

-8 3/4 ÷ 2 1/6 how do I solve this

Answers

Answer:

-4 1/26

Step-by-step explanation:

You will want to Reduce the expression, if possible, by cancelling the common factors.

if you travel 480 miles at an average speed of 40 miles per hour for how many hours were you traveling ​

Answers

Answer:

The answer is 12 hours

Step-by-step explanation:

To find the time taken for an object to travel given it's velocity and distance covered we use the formula

[tex]time = \frac{distance}{speed} \\ [/tex]

From the question

distance = 480 miles

speed = 40 mi/h

So we have

[tex]time = \frac{480}{40} = \frac{48}{4} \\ [/tex]

We have the final answer as

12 hours

Hope this helps you

Which pair of angles are corresponding angles?

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

Both [tex]\angle 4[/tex] and [tex]\angle 8[/tex] are Corresponding Angles, they are in the same side of the transversal line, and where a line crosses two other lines.

Step-by-step explanation:

<4 and <8 are corresponding angles because they are on the same side of the transversal and are at the same location and they are congruent meaning they are equal

c=3h-ah solve for h

Answers

Answer:

a= -c-3h/h

Step-by-step explanation:

how do I do simplified expenrntial form for stuff like (4³)⁷​

Answers

Answer:

4398046511104

Step-by-step explanation:

you multiply the exponents which results in 21 and then you do 4^21 which gets 4398046511104

Find negative square root of 16 . (4 points) −4 4 ±4 −8

Answers

Answer:

-4

Step-by-step explanation:

Convert 120 lbs to kilograms. (1 kg = 2.2 lbs)

Answers

Answer:

54.4

Step-by-step explanation:

Answer: 54.55kg

Step-by-step explanation:

120 ÷ 2.2 = 54.55 kg

? /3 = -6/6 please help

Answers

Answer:

-3/3

-6/6

divide top and bottom by 2 gives you -3/3

The endpoints of MN are located at M (-4, 4) and N (2,-2). What are the coordinates of the point that divides MN such that MP: PN is equal to 2: 1?

Answers

Given:

The endpoints of MN are located at M (-4, 4) and N (2,-2).

Point P divides the line segment MN such that MP: PN = 2: 1

To find:

The coordinates of point P.

Solution:

Section formula: If a point divides a line segment in m:n, then coordinates of that point are

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point P divides the line segment MN in 2:1. So,

[tex]P=\left(\dfrac{2(2)+1(-4)}{2+1},\dfrac{2(-2)+1(4)}{2+1}\right)[/tex]

[tex]P=\left(\dfrac{4-4}{3},\dfrac{-4+4}{3}\right)[/tex]

[tex]P=\left(\dfrac{0}{3},\dfrac{0}{3}\right)[/tex]

[tex]P=(0,0)[/tex]

Therefore, the coordinates of the point P are (0,0).

How many times smaller is 4 × 10-7 than 8 × 10-3?

Answers

33 and 77
77 divided by 33
2.33 times smaller

(18 points) What is the approximate area of the circle shown below?

Answers

Answer:

A

Step-by-step explanation:

because if you put in the radius of 3.7 you get 43.01 and if you round that up you get 43 which is A


[tex] - 7 \times ( - \frac{3}{5} ) \times ( \frac{15}{7} ) = [/tex]
Plz help<3 I need to hurry up and get this assignment done ​

Answers

Answer:

[tex] - 7 \times ( - \frac{3}{5} ) \times ( \frac{15}{7} ) = [/tex]=9

How does the speaker’s repetition of the neighbor’s cherished belief about the importance of walls (lines 27 and 45) convey the poem’s criticism of an undesirable social pattern? The speaker uses the neighbor as an example of what happens when people are too isolated from one another. The speaker uses the neighbor as an example of what happens when people are too isolated from one another. A The speaker imagines a conversation in which the neighbor openly expresses his hostility toward other people. The speaker imagines a conversation in which the neighbor openly expresses his hostility toward other people. B The speaker suggests that the neighbor thinks of the task of mending as a game to illustrate the neighbor’s belief in strict social rules. The speaker suggests that the neighbor thinks of the task of mending as a game to illustrate the neighbor’s belief in strict social rules. C The speaker describes the neighbor’s superstitious beliefs about elves in order to characterize him as uncivilized and misguided. The speaker describes the neighbor’s superstitious beliefs about elves in order to characterize him as uncivilized and misguided. D The speaker treats the neighbor’s words about fences as evidence of a world view that is closed-minded in general.

Answers

Answer:

C The speaker describes the neighbor’s superstitious beliefs about elves in order to characterize him as uncivilized and misguided. The speaker describes the neighbor’s superstitious beliefs about elves in order to characterize him as uncivilized and misguided.

Step-by-step explanation:

This is likely the answer to the question asked.

Answer: A

Step-by-step explanation:

other guy wrong

Convert 40 g to mg
Plz help me

Answers

Answer:

40000 milligrams

Hope it helps :)

Solve for n. 170-4n=120

Answers

Answer:

n = 12.5 or 25/2

Step-by-step explanation:

170-4n = 120

1. Subtract 170 from both sides to isolate -4n.

-4n = -50

2. Divide both sides by -4 to isolate the n.

n = 12.5 or 25/2

Hope this helped!

Answer:

12.5

Step-by-step explanation:

170 - 4n = 120

-170          -170

-4n         = -50

4n         =  50

  n         = 12.5

An expression is shown.
0.0082
Write an equivalent expression in scientific notation.
X 10

Answers

Answer:

8.2 × 10-3

Step-by-step explanation:

Uh I don't know the step by step but I know the exponent is a negative because the 0's are on the left and if they are on the right it is not negative.

HOPE THIS HELPS

Below is a scale drawing of a stage that Syla is designing. A rectangle with length 8 centimeters and width 5 centimeters. Using the scale 1 cm : 7 m, Syla calculated the width, or the shorter side of the stage, to be 35 m. She decides to change the scale to 1 cm : 10 m. What is the width of the new stage?

Answers

Answer:

50m

Step-by-step explanation:

Given the dimension

Length of the rectangle = 8cm

Width = 5cm

Note that when the scale was 1:7, syla multiplied the width by a factor of 7 i.e 5*7 = 35m

If syla changes the the scale to 1 cm : 10 m for the rectangle, then the width of the shorter side will be multiplied by a factor of 10 due to the change in scale i.e;

5 * 10 = 50m

Hence the width of the new stage will be 50 m

Answer:

50m

Step-by-step explanation:

took the quiz on edg

There are 133 students and 15 teachers going on a field trip. Each bus can hold a maximum
of 24 people. What is the fewest number of buses required for the field trip?
1. 7
2. 5
3. 4
4. 6

Answers

Answer:

7

Step-by-step explanation:

Z/3 + 18= -35........2 step equations

Answers

Answer:

z=−159

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1

3

z+18=−35

Step 2: Subtract 18 from both sides.

1/3z+18−18=−35−18

1/3z=−53

Step 3: Multiply both sides by 3.

3*(1/3z)=(3)*(−53)

z=−159

I believe The answer is -159

Suppose Thomas owns 30 movies. If the ratio of old movies to new movies is 4:1, how many new movies does Thomas have?
Select 1 answer

A- 1 new movie

B- 5 new movies

C- 24 new movies

D- 6 new movies


Please Hurry!

Answers

6 i’m pretty sure but i hope this helps

The standard form of
(6x1)+5x1/100+3x1/1,000

Answers

Answer:

Step-by-step explanation:

6.053

The distance of a golf ball from the hole can be represented by the right side of a parabola with vertex (-1,8). The ball reaches the hole 1 second
after it is hit, at time 0.
What is the equation of the parabola, in vertex form, that represents the ball's distance from the hole, y, at time x?
y =
(x +

Answers

Answer:

Let's suppose that the hole is at y = 0m, where x is the time variable.

we know that:

The vertex is (-1s, 8m).

(i suppose x in seconds and y in meters)

At x = 1s, the ball reaches the hole, so we also have the point:

(1s, 0m).

Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:

x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

0m = a*1s^2 + 1s*2a*1s + c

We can simplify both equations and get:

8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.

0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.

Easily we can isolate c in the second equation and then replace it into the first equation:

c = -a*3s^2

The first equation becomes:

8m = -a*1s^2 - a*3s^2 = -a*4s^2

a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m

what is 2.6 divided by 0.4

Answers

Answer:

6.5

Step-by-step explanation:

Plz answer this problem

Answers

Answer: x=

1/8y+5

Step-by-step explanation: Step 1: Flip the equation.

8x−40=y

Step 2: Add 40 to both sides.

8x−40+40=y+40

8x=y+40

Step 3: Divide both sides by 8.

8x

8

=

y+40

8

x=

1

8

y+5

Identify the like terms in this expression: 4x^2 + 2x - 6x + 3y

Answers

Answer:

the like terms here are the x and the + symbol.

Step-by-step explanation:

If a part of the equation appears more than once that is a like term.

What is the solution set for this inequality?

−9x+18<−27

Answers

Answer:

x=-1

Step-by-step explanation:

-9x+18-18=27-18

-9x=9

-9x/-9 = 9/-9

x=-1

Answer:

-1

Step-by-step explanation:

the room is actually 18 ft wide on your floor paln you draw the room as 6 inches wide what is the scale factor for the floor plan​

Answers

Answer:

1:3   (scale to actual)

Step-by-step explanation:

6:18

3:9

1:3

, what is the radius of a circle with circumference 37.7 ​m?

Answers

Answer: r≈6

Step-by-step explanation: Using the formula

C=2πr

Solving forr

r=C

2π=37.7

2·π≈6.00014

Answer:

The radius is 6

Step-by-step explanation:

The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius

C=2πr

r=C

2π=37.7

2·π≈6.00014

Hope this helps!

-Jerc

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