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Jlenok [28]
2 years ago
10

A rental car company charges a basic fee plus a price per mile. One customer drove 250 and paid 56.50, while another customer dr

ove 400 and paid 79. Write an equation in slope - intercept form for the cost of renting a car. Use your equation to find how much it would cost to drive 325 miles?

Mathematics
1 answer:
Hatshy [7]2 years ago
8 0

Answer:

y = 0.15x+19 and

67.75

Step-by-step explanation:

Let us assume y for total cost and x no of miles.

Then x and y are related by a straight line.

Two points lying on the line are

(250,56.50) and (400,79)

Use two point formula

y-56.50/(79-56.50) = x-250/(400-250)

y-56.50 = 22.5(x-250)/150

y = 22.5x/150 -37.50+56.50

Or y = 0.15x+19

To find out cost for 325 miles:

x=325

y= 0.15(325)+19

= 48.75+19

=67.75

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Answer: 127 11/12

Step-by-step explanation:

1. 1/2 + 3/4 = 2/3

Change 1/2 by by multiplying by 2 to get a common denominator of fourths.

2/4 + 3/4 = 2/3?

5/4 = 2/3?

no

2. 5/8 - 1/4

Change 1/4 by by multiplying by 2 to get a common denominator of eighths.

5/8 - 2/8 = 3/8?

3/8 = 3/8 ?

yes

3/8 x 10 = 30/8

3. 4/5 +7/10 = 1 1/2

Change 4/5 by multiplying by 2 to get a common denominator tenths.

8/10 + 7/10 = 1 1/2?

15 /10 = 1 1/2?

yes

1 1/2 x 10 = 25

4. 2 1/3 - 1 5/6 = 1/6

Change 1/3 by multiplying by 2 to get a common denominator sixths.

2 2/6 - 1 5/6 = 1/6?

3/6 = 1/6

no

100 -2/3 - 1/6 + 30/8 + 25

multiply the thirds by 8. Sixths by 4. Eighths by 3 to get a common denomonator of 24ths.

100 - 16/24 - 4/24 + 90/ 24 + 25 = 125 70/24

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5 0
2 years ago
what is the quotient when x3 − 5x2 2x 5 is divided by x − 2? x2 − 3x − 4 x2 − 7x 16 x2 − 3x − 4 − 3 over the quantity of x minus
nekit [7.7K]
<span><u><em>The correct answer is: </em></u>
x</span>²<span>-3x-4 -</span>\frac{3}{x-2}<span>.

<u><em>Explanation</em></u><span><u><em>: </em></u>
To divide these polynomials, the dividend, x</span></span>³<span><span>-5x</span></span>²<span><span>+2x+5, goes under the box, and the divisor, x-2, goes outside of the box.

We first want to find what we multiply x by to make x</span></span>³<span><span>; x*x</span></span>²<span><span>=x</span></span>³<span><span>, so we write x</span></span>²<span><span> over -5x</span></span>²<span><span> in the box.
 
<u>Now we multiply our divisor, x-2, by x</u></span></span><u>²</u><span><span><u>: </u>
x*x</span></span>²<span><span>=x</span></span>³<span><span>
-2*x</span></span>²<span><span>=-2x</span></span>²<span><span>.

This goes under x</span></span>³<span><span>-5x</span></span>²<span><span> in the box.

<u>Now we subtract: </u>
(x</span></span>³<span><span>-5x</span></span>²<span><span>)-(x</span></span>³<span><span>-2x</span></span>²<span><span>)=-3x</span></span>²<span><span>.

This goes below the 2x</span></span>²<span><span> we wrote, and we bring down 2x.

Now we see what we multiply x by to make -3x</span></span>²<span><span>;
x*-3x=-3x</span></span>²<span><span>, so we write -3x beside x</span></span>²<span><span> in the quotient (at the top).

<u>We multiply our divisor, x-2, by -3x: </u>
 x*-3x=-3x</span></span>²
<span><span>-2*-3x=6x.

We write -3x</span></span>²<span><span>+6x under our -3x</span></span>²<span><span>+2x and <u>subtract</u>:
(-3x</span></span>²<span><span>+2x)-(-3x</span></span>²<span><span>+6x)=-4x.

Write this below 6x. Bring down +5.

Now we see what we multiply x by to make -4x;
x*-4=-4x, so write -4 beside -3x in the quotient.

<u>Multiply our divisor, x-2, by -4: </u>
x*-4=-4x;
-2*-4=8;

write -4x+8 below -4x+5 and <u>subtract:</u>
(-4x+5)-(-4x+8)=-3.

This gives us the quotient x</span></span>²<span><span>-3x-4 with a remainder of -3, so we write our full answer as x</span></span>²<span><span>-3x-4-(3/x-2).</span></span>
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DEFG is an isosceles trapezoid with bases FE and<br> GD. DE = 5x -2, and FG = 4x + 2. Find FG.
dalvyx [7]

Answer:

FG is 18 units

Step-by-step explanation:

if the trapezoid is isosceles then DE = GF so we can create this equation:

4x + 2 = 5x - 2

4x = 5x - 4

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