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JulijaS [17]
3 years ago
12

Dominique buys $14.95 worth of gasoline for her car. If the gas station charges $1.43 per gallon, how many gallons did she get?

Round to the nearest tenth.
Mathematics
2 answers:
Sholpan [36]3 years ago
8 0

I'm going to represent this situation as an equation:

x = the number of gallons

y = the total cost


1.42x = y

1.42x = 14.95

[They charge $1.43 per gallon(x), and she payed a total (y) of $14.95]


You need to find the number of gallons or "x".

To do so, you isolate "x" in the equation:


1.42x = 14.95     Divide 1.42 on both sides (or divide 14.95 by 1.42)

x = 10.5    She got 10.5 gallons

Zolol [24]3 years ago
5 0

Answer:

$10.45

Step-by-step explanation:

14.95 divided by 1.43 = 10.50

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\displaystyle
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<em>-------------------------------------------------------------</em>


\displaystyle&#10;(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\&#10;n=5\\&#10;k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10

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

\displaystyle&#10;(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\&#10;n=5\\&#10;k=4\\\\&#10;\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90

<u>It's 90</u>

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