As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

$\frac{x}{42.56}=\frac{x+10}{72.96}$

by cross multiply we get;

$72.96x = 42.56(x+10)$

using distributive property; $a\cdot (b+c) =a\cdot b + a\cdot c$

$72.96x = 42.56x+425.6$

Subtract 42.56x from both sides we get;

$30.4x =425.6$

Divide both sides by 30.4 we get;

x = 14

Therefore, the tank is her now is, 14 gallons

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3 years ago

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svetlana [45]

Answer:

Step-by-step explanation:

"binomial" the operation between two terms (B or C)

"3rd degree binomial" the highest degree of the polynomial's monomials (individual terms) with non-zero coefficients have to be "3"

6 0

3 years ago

Wendy says that soccer balls cost 2 1/2 times as much as baseball cost. do you agree? explain?​

Wendy says that soccer balls cost 2 1/2 times as much as baseball cost. do you agree? explain?