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lesya [120]
4 years ago
7

A rental car company charges $35 a day plus $.15/mi for a mid-size car. A customer owes $117.25 for a three-day rental. How many

miles did the customer drive?
Mathematics
1 answer:
Molodets [167]4 years ago
8 0
The base charge is 35 dollars per day. He rented the car for 3 days, so before you add in the mileage you have to multiply 35 x 3 days for 105 dollars. Then you have to take the remaining charge and divide it by the charge per mile to get the number of miles driven.  Lets set up the equation.

d= number of days rented
m= number of miles driven

35(d) + .15(m) = 117.25
35(3) + .15m = 117.25
105 + .15m = 117.25
.15m = 117.25 - 105
.15m = 12.25
m = 12.25/.15
m = 81.67

So he drove 81.67 miles
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8 0
3 years ago
Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integer
Otrada [13]

1st:x

2nd x+2

3rd: x+4

(x)+(x+2) = 3(x+4)-31

distribute

2x+2 = 3x+12-31

2x+2 =3x-19

subtract 2x from each side

2 = x-19

add 19 to each side

21 =x

Answer: 21,23,25

3 0
3 years ago
HURRY QUICK!!
antiseptic1488 [7]

After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.

<h3>What is parabola?</h3>

Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.

General equation of the quadratic equation,

Y = ax² + bx +c

Given points,

(-2, 0),

(-1, -10),

(4, 0).

Putting the points in the general equation,

Putting (-2, 0), we get

0 = 4a - 2b + c

Putting (-1, -10), we get

-10 = a - b +c

Putting (4, 0), we get

0 = 16a + 4b +c

Solving all equations we get,

a = 2 , b = -4 , c = -16

After putting the values,

Y = 2x²- 4x- 16

2(x² - 2x - 8)

2(x²- 2x + 1 - 1 - 16)

=2(x - 1)²-34

Hence we get the required equation in the parabolic form.

To know more about parabola, visit :

brainly.com/question/21685473

#SPJ1

5 0
1 year ago
Need help am being timed pls
goldenfox [79]
What are the answer options?
6 0
2 years ago
Which inequality is represented by this graph? A number line going from 1 to 9. A closed circle is at 4. Everything to the right
Fofino [41]

Answer:

x ≥ 4

Step-by-step explanation:

Since there is a closed circle at x = 4, this indicates that x can be equal to 4

The line to the right is shaded indicating values of x greater than 4

Thus x ≥ 4 ← is the inequality represented in the number line

4 0
3 years ago
Read 2 more answers
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