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zheka24 [161]
3 years ago
10

When Nick shoots a basketball, he either sinks the shot or misses. For each shot Nick sinks, he given 5 points by his father. Fo

r each missed shot Nick's Dad takes 2 points away. Nick attempts a total of 28 shots and ends up with zero points (i.E., he breaks even). How many shots did Nick sink?
Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

The number of shots Nick sunk was 8

Step-by-step explanation:

Let

x -----> number of shots that Nick sunk.

y -----> number of shots Nick missed

we know that

x+y=28

y=28-x -----> equation A

5x-2y=0 ----> equation B

substitute equation A in equation B and solve for x

5x-2(28-x)=0

5x-56+2x=0

7x=56

x=8

Find the value of y

y=28-x ----> y=28-8=20

therefore

The number of shots Nick sunk was 8

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Answer:

Step-by-step explanation:

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3 years ago
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E is the midpoint of DF, DE = 2x + 4, and EF = 3x + 1. Find DE, EF, and DF.
Agata [3.3K]
When there is a midpoint in a line segment, the two segments that are then produced have to be equal. So that means that because E is a midpoint of DF, DE=EF.
Set up the equation.
DE=EF
2x+4=3x+1
Then solve for x.
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Then plug it back in the equation to find DE and EF.
DE=2x+4=2(3)+4=10
Because DE=EF then EF is also 10.
DF is made from the addition of DE and EF so DF is twice EF.
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DE= 10, EF= 10, DF= 20

Hope this helps.
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3 years ago
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vekshin1

Answer:

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Step-by-step explanation:

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