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QveST [7]
3 years ago
13

Footballs cost $22.00 each. The athletic director has $277.00 in his budget to spend on footballs there is a $13.00 shipping fee

per order.How many footballs can the athletic director order
Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0

Answer:

16

Step-by-step explanation:

x = number of footballs he can order

22*x + 13 (shipping fee) = 277

22x = 264       Subtract 13 from both sides

x = 16               Divide both sides by 22

Our solution is 16 footballs

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\large\boxed{\dfrac{\boxed{8}}{81}}

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\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}

\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}

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