Rent-A-Car rents compact cars for a fixed amount per day plus a fixed amount of each mile driven. Ben rented a car for 6 days, drove it 550 miles, and spent $337. Lisa rented the same car for 3 days, drove it 350 miles, and spent $185. What is the charge per day and per mile to rent that car?

Answers

Answer 1

Answer:

$36 per day plus $0.22 per mile

Step-by-step explanation:

For Ben,

Total miles driven = 550 miles

Number of days = 6 days

Total cost = $337

For Lisa

Total miles driven = 350 miles

Number of days = 3 days

Total cost = $185

Solving Simultaneously;

6d + 550m = 337

3d + 350 m = 185

Multiply equation 2 by 2  we have

6d + 550m = 337   ----1

6d + 700m = 370------2

So;

Subtracting equation  1 from equation 2

150m = 33

m = 33/150

m = $0.22

Substitute m=0.22 into equation 1

6d + 550(0.22) = 337

6d + 121 = 337

6d = 337 - 121

6d = 216

d = 216/6

d = $36

Hence the charge is $36 per day plus $0.22 per mile


Related Questions

If you were to make a quadrilateral by rotating triangle RST 180 about U which type of quadrilateral would form? A. Rectangle B. Square C. Rhombus D. Trapezoid

Answers

Answer:

Rhombus

Step-by-step explanation:

A triangle when rotated around any point by 180° forms a Rhombus.

Answer:

Rectangle

Step-by-step explanation:

I got it wrong on math nation and found out the correct answer.

Fatima collected 78 leaves at Zabeel Park for a pressed-leaf collection. If she places and equal number of leaves in each of 3 books, how many leaves will be in each book? (SHOW YOUR WORK/STEPS)

Answers

Step-by-step explanation:

78/ 3

= 26

26 leaves will be in each book

hope it helps!

Answer:

26

Step-by-step explanation:

78/3=26

PLEASE HELP!!!

One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?

Answers

Answer:

y=2x+10

Step-by-step explanation:

y is the height x is the number of years

It takes 9 years for it to reach 28ft

in a school 45% of students are girls if there are 110 boys find the total number of students the number of girls full process​

Answers

Answer:

Total number of students = 200

The number of girls  = 90

Step-by-step explanation:

Girls = 45%

Boy = (100 - 45)% = 55%

Let the total students = x

Number of boys = 110

55% of x = 110

 [tex]\frac{55}{100}*x = 110\\\\ x = 110*\frac{100}{55}\\\\ x = 10 * \frac{100}{5}\\\\[/tex]

  x = 2 * 100

  x = 200 students

Girls = 45% of x

       [tex]= \frac{45}{100}*200[/tex]

        = 45 * 2

Girls = 90

find the value of x in each of the given triangles.​

Answers

Answer:

solution here,

x+3x+80=180degree

4x+80=180

4x=180-80

x=100÷4

therefore

x=25

8.35x - 1.5 = 71.98
(a) 8.6
(b) 8.8
(c) 9
(d) 10.3

Answers

 Hola! :D ¡te invito a recibir ayuda de un latinoamericano puto! _____________________________________                        8.35x - 1.5 = 71.98 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

                           El -1,5 qlero pasaría al otro lado positivo

                                    8.35x = 71.98 + 1.5 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

                              Ahora, se suma 71.98 + 1.5 = 73,48

                                        8.35x = 73,48 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo

                                      x = 73,48 ÷ 8.35 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

                                                    Dividimos

                                              x = 8,8 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -                 (b) 8,8  es la opción correcta

Doug began sweeping the living room floor at 10:47. It took him 42 minutes to sweep the whole room. What time was it when Doug finished sweeping?

Answers

Answer:

11:29.

Step-by-step explanation:

10:47 - 11:00 is 13 minutes, which leaves 29 minutes. So then you add that to 11:00, 11:29.

Answer:11:29

Step-by-step explanation:

If Doug starts at 10:47 and sweeps for 42 minutes

First you add 42 minutes to the 47.

Remember there are 60 minutes in an hour.

So do 47+42=89

Next do 89-60 (because there are 60 minutes in an hour)

You get 29 minutes.

Add one to the 10

That makes 11:29

please help! the question is in the photo :))

Answers

Answer:

00000

Step-by-step explanation:

please send the clear pic of the question

Answers:

angle G = 25angle J = 107angle I = 48angle P = 25angle K = 107angle H = 48

===========================================

Explanation:

Triangle GJI and triangle PKH are similar triangles. The order of the letters is important because it tells us how the angles pair up.

The first letter of GJI is G, while the first letter of PKH is P. This means angles G and P pair up. They are congruent pair because similar triangles have congruent corresponding angles.

So,

G+P = 50

G+G = 50 .... plug in G = P

2G = 50

G = 50/2

G = 25

Both angle G and angle P are 25 degrees

Use angle I = 48 to help find angle J

G+J+I = 180

25+J+48 = 180

J+73 = 180

J = 180-73

J = 107

Angle J is 107 degrees

Since J and K are the second letters of GJI and PKH respectively, this means angle J = angle K = 107

Since I and H are the third letters of GJI and PKH respectively, we know that angle I = angle H = 48

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

Summary:

angle G = 25angle J = 107angle I = 48angle P = 25angle K = 107angle H = 48

Evaluate 6x^2+18x-15 at x=3. A-75
B-93
C-133
D-363

Answers

Step-by-step explanation:

When x = 3,

6x² + 18x - 15

= 6(3²) + 18(3) - 15 = 54 + 54 - 15 = 93. (B)

Find the angle BAD (pls)

Answers

Answer:

A. 82

hope it helps....

A hiker walks at a speed of 3 2/5 km per hour. How many km will the hiker walk in 40 min?

Answers

Answer:

2 4/15 km

Step-by-step explanation:

We know from the above question that:

A hiker walks at a speed of 3 2/5 km per hour.

Step 1

Convert 40 minutes to hour

60 minutes = 1 hour

40 minutes = x

Cross Multiply

60x = 40

x = 40/60

x = 2/3hr

Step 2

How many km will the hiker walk in 40 min?

The above question can be calculated as:

1 hour = 3 2/5km

2/3 hour = x km

Cross Multiply

1 × x km = 2/3 × 3 2/5 km

x km = 2/3 × 17/5 km

x km = 34/15 km

x km = 2 4/15 km

Hence the hiker would walk 2 4/15 km in 4 minutes

If a certain number is increased by 5, one-half of the result is three fifths of the excess of 61 over the number. find the number​

Answers

Step-by-step explanation:

Let the number be x X×5 =1/2 × 3/5 × 615X = 18 X = 18/5 X =3.3

I need to know this ASAP please! What is 2/3x + 1/3x?

Answers

Answer:

x

Step-by-step explanation:

2/3x+1/3x=x

Answer:

1

Step-by-step explanation:

2/3x + 1/3x

2+1/3x

3/3x

=x

one x value is 1

R holdA company claims that their new bottle holds 25% more laundry soap. If their original container held 53 fluid ounces of soap, how much does the new containe?

Answers

Answer:

66.25 fluid ounce

Step-by-step explanation:

Given that :

Capacity of original container = 53 fluid ounces

Percentage addition of new container = 25%

Capacity of new container :

Capacity of original container * ( 1 + percentage addition)

53 * ( 1 + 0.25)

53 * (1.25)

= 66.25 fluid ounce

Please help me with this, i need it for a math quiz.
​|−14.6 − (−5.2)|
Thank you.

Answers

The correct answer is D.) ​|−14.6 − (−5.2)|

Step-by-step explanation: This is the case because we are first subtracting the value of the two numbers from each other. Then we're taking the absolute value so we can find distance, which is always expressed in a positive number.

Micheal buys a new jacket for 90 dollars. Sales tax is 8%. How much does Micheal actually have to pay?

Answers

Answer:

$97.20

Step-by-step explanation:

you make the 8% into a decimal by moving the decimal to places to the left.

8%=0.08, Then you multiply that by the whole number of 90 dollars.

0.08 x 90 = $97.20

Total cost of the jacket with sales tax is given by the equation A = $ 97.20

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the jacket with the sales tax be A

Now , the equation will be

The cost of the jacket = $ 90

The sales tax percentage = 8 %

So , the sales tax amount = ( 8 / 100 ) x cost of the jacket

Substituting the values in the equation , we get

The sales tax amount = 0.08 x 90

The sales tax amount = $ 7.20

Now , the total cost of the jacket with the sales tax = cost of the jacket + sales tax amount

Substituting the values in the equation , we get

The total cost of the jacket with the sales tax A = 90 + 7.20

The total cost of the jacket with the sales tax A = $ 97.20

Hence , the total cost is $ 97.20

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Gumbo had 492 baseball cards in his collection. First, he divided them evenly among
4 shoe boxes. Then, he divided the cards in each shoe box evenly among 3 card
albums. How many cards were in each card album?
41
164
123
31

Answers

Step-by-step explanation:

There are 41 cards were in each card album.

Your answer would be 41 please give me brainlist :)

Multiply. Write your answer as a fraction in simplest form.
11 x ( - ) = 0

Answers

Answer:

??? is this all of the question?

Answer:

- 3/5

Step-by-step explanation:

Simplify fractions and multiply

1 1/2 × (-6/15)  =                     3/2 × (- 2/5) = - 3/5

A certain sum of money doubles itself in 8 years. How much time will it take to triple itself at the same rate?
[Irrelevant answers will be reported]​

Answers

Answer:

It will take 12years to triple itself

Step-by-step explanation:

let the sum of money=x

In 8years x becomes 2x

thus

2x-8years

Then 3x-?

Using ratio and proportion,

x=3/2×8years=12years

A parabola can be drawn given a focus of (4, -3) and a directrix of x=2 Write the equation of the parabola in any form​

Answers

Answer:

The equation of the parabola  ( y +3)² = 4 ( x-3)

Step-by-step explanation:

Step(i):-

we know that the focus of the parabola (h + a , k ) and directrix is   x = h - a

Given

 focus of the parabola (h + a , k ) = ( 4, -3 )

  Equating                h + a =4 ..(i)

                              and k =-3

Given directrix is   x = 2

                          h - a =2 ..(ii)

Adding (i) and (ii) equations , we get

                   h + a + h-a = 4+2

                      2 h = 6

                         h =3

   substitute h=3 in equation (i)

                h + a =4

               3 + a =4

                  a = 1

The length of Latus rectum 4a = 4(1) =4

Step(ii):-

The vertex ( h, k) = ( 3 , -3) and a = 1>0

Given directrix is x = h - a = 2 so the parabola axis is lie on X- axis and symmetric about x-axis

The equation of the parabola

( y - k )² = 4 a ( x - h )

( y - (-3))²= 4(1) ( x - 3 )

The equation of the parabola  ( y +3)² = 4 ( x-3)

                             

Simplify the expression

Answers

Answer:

A. [tex] {x}^{3} - x - \frac{6}{2x + 3}[/tex]

Step-by-step explanation:

[tex] \frac{2 {x}^{4} + 3 {x}^{3} - 2 {x}^{2} - 3x - 6}{2x + 3} \\ \\ = \frac{(2 {x}^{4} + 3 {x}^{3} ) - (2 {x}^{2} + 3x) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2 {x} + 3 ) - x(2 {x} + 3) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2x + 3)}{2x + 3} - \frac{x(2x + 3)}{2x + 3} - \frac{6}{2x + 3} \\ \\ \purple { \bold{= {x}^{3} - x - \frac{6}{2x + 3} }}[/tex]

Simplify: -3 ( 2x - 5) - 2 (4x + 3)

A. 14x - 9
B. - 2x + 21
C. - 14x + 9
D. - 14x + 21​

Answers

Answer:

option b

Step-by-step explanation:

remove the parentheses

-6x+15 -2(4x+3)

collect like terms

-14x+15-6

subtract the numbers

15-6

-14x+9

I hope this helps!

Answer:

the answer is C

Step-by-step explanation:

by doing the distributive property

multiplay the -3 with the numbers in the parenthesis (2x-5) and the same with -2 and (4x +3)

the result will be -6x+15-8x-6 now you need to combine like terms

-6x-8x  15-6

-14x+9

change the recurring decimal into fraction, 3.256

Answers

Answer:

407/125

Step-by-step explanation:

3.256=3256/1000

814/500

407/125

During a two-day golf tournament, Fran scored +3 on the first day and -1
on the second day. What was her overall score for the tournament?

Answers

Answer:

+ 2

Step-by-step explanation:

+ 3 + (- 1) = + 2

A dog needs 4/3 liters of water for 2/5 how many liters of water does the dog need for an entire day

Answers

Complete question :

A dog needs 4/3 liters of water for 2/5 of a day. How many liters of water does the dog need for an entire day?

Answer:

10/3 litres

Step-by-step explanation:

Given that:

Amount of water needed for 2/5 of a day = 4/3 litres ;

An entire day = 1/ 1 of a day

Hence, If;

2/5 = 4/3 litres of water

1/1 = x

Cross multiply ;

(2/5)x = 4/3

2x /5 = 4/ 3

2x * 3 = 5 * 4

6x = 20

x = 20 /6

x = 10 /3 litres

7x^2 - 16x - 15
please help find the factored form​

Answers

Step-by-step explanation:

7x^×2-16x-15

14x^-16x-15

PLEASE ANSWER ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 1626815

Step-by-step explanation:

Answer:

264 cm^3

Step-by-step explanation:

ASAP

The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?

Answers

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

c(x) = 18x -10

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

 c(x) = 18x - 10

comparing with the slope-intercept form of the line equation

rate of change = 18c(x) or y represents the cost'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $530

In order to determine the value of x, set c(x) = 530

i.e.

530 = 18x -10

switch sides

18x - 10 = 530

add 10 to both sides

18x - 10 + 10 = 530 + 10

18x = 540

Divide 18 to both sides

18x/18 = 540/18

x = 30

Therefore, if you can buy x = 30 tickets if you pay 530 dollars.

The equation y=5x represents a proportional relationship. What is the constant of proportionality.

Answers

Answer:

5

Step-by-step explanation:

it is the constant slope 5 over 1

What is sixty-nine times sixty-nine?

Answers

Answer:

The answer is 4,761

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