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il63 [147K]
3 years ago
6

Madelyn's car used 6 gallons of gas to drive 126 miles. At what rate does her car use

Mathematics
1 answer:
Reil [10]3 years ago
4 0

Answer:

Step-by-step explanation:

You are given    GALLONS     and   MILES

   you want to find MILES / GALLON

     so just put those numebrs in

         MILES / GALLON =  126 miles / 6 gallons = 21 m/g  (or 21 MPG)

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Find the sum of the constants a, h, and k such that
ra1l [238]

Answer:

  3

Step-by-step explanation:

The value of "a" is the coefficient of x^2, so we know that is 2.

__

<u>Solve for h</u>

Now, we have ...

  2x^2 -8x +7 = 2(x -h)^2 +k

Expanding the right side gives us ...

  = 2(x^2 -2hx +h^2) +k

  = 2x^2 -4hx +2h^2 +k

Comparing x-terms, we see ...

  -4hx = -8x

  h = (-8x)/(-4x) = 2

__

<u>Solve for k</u>

Now, we're left with ...

  2h^2 +k = 7 = 2(2^2) +k = 8 +k

Subtracting 8 we find k to be ...

  k = 7 -8 = -1

__

And the sum of constants a, h, and k is ...

  a +h +k = 2 +2 -1 = 3

The sum of the constants is 3.

6 0
4 years ago
Which is the perimeter of the shape?
I am Lyosha [343]

Answer:

do you know if there is a picture or model?

Step-by-step explanation:

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4 0
3 years ago
If f(x) = 5 x=2, what is 5'(x)?
Setler79 [48]

Substitute the value of the variable into the equation and simplify.

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6 0
3 years ago
Martian periodic table
hjlf
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8 0
3 years ago
Hannah buys some shoes in sale marked 40% off she pays 27 for the shoes what price were the shoes the shoes orginally
mezya [45]

Given:

The price of shoes after discount = 27

Discount % = 40%

To find:

The original price of shoes before discount.

Solution:

Let x be the original price of shoes before discount.

The price of shoes after 40% discount is

\text{New price}=x-\dfrac{40}{100}\times x

\text{New price}=x-0.4x

\text{New price}=0.6x

The price of shoes after discount = 27

27=0.6x

\dfrac{27}{0.6}=x

45=x

Therefore, the original price of the shoes is 45.

5 0
3 years ago
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