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tamaranim1 [39]
3 years ago
10

So far this basketball season, Sherita made 46 of her

Mathematics
1 answer:
Tresset [83]3 years ago
3 0

Answer:

<em>Sherita would need to make 10 free throws</em>

Step-by-step explanation:

<u>Proportions</u>

Sherita made 46 of her first 60 free throws in this basketball season. Calculating the average we get:

\displaystyle \frac{46}{60}=76.7\%

Sherita wants to have a free throw average of at least 80% in her next x free throws. This means she will have 46+x made throws out of 60+x total throws. For this new performance, the new average would be:

\displaystyle \frac{46+x}{60+x}

And we equate it to 80% (0.8 in decimal):

\displaystyle \frac{46+x}{60+x}=0.8

Multiplying by 60+x:

46+x=0.8(60+x)

Operating:

46+x=48+0.8x

Subtracting 46 and 0.8x:

0.2x=2

Dividing by 0.2

x = 10

Sherita would need to make 10 free throws

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