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lapo4ka [179]
2 years ago
10

Blake is 7 years older than Heather. In 7 years the sum of their ages will be 55. How old is Blake now?

Mathematics
1 answer:
Andreas93 [3]2 years ago
4 0

Answer:

24 years old

Step-by-step explanation:

Let the age of Blake be x and the age of Heather by y then...

x=7+y

7+x+7+y=55

Notice we are adding additional 7s because the question states "in 7 years"

Simplify the second equation...

7+x+7+y=55

14+x+y=55

Subtract 21 from both sides

x+y=41

Solve using substitution (substitute 7+y for x since x = 7+y)

7+y+y=41

Combine like terms

2y+7=41

Subtract 7 from both sides

2y=34

Divide both sides by 2

y=17

x=7+17=24

Blake is 24 years old now

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Answer:

z score Perry z=-1.402

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Step-by-step explanation:

Consider the provided information.

One year Perry had the lowest ERA​ of any male pitcher at his​ school, with an ERA of 3.02. For the​ males, the mean ERA was 4.206 and the standard deviation was 0.846.

To find z score use the formula.

z=\frac{x-\mu}{\sigma}

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z=\frac{-1.359}{0.789}

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It is clear that the z-score value for Perry is greater than the z-score value for Alice. This indicates that Alice had better year in comparison with Perry.

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