daphnehenze3407 daphnehenze3407
  • 17-01-2022
  • Mathematics
contestada

A student takes a mathematics test scores of 52 and 64. What score on a third test will give the student
an average of 60?
Select one:
A. 60
B. 62
C. 66
D. 64​

Respuesta :

jtm2588
jtm2588 jtm2588
  • 17-01-2022

Answer:

D. 64

Step-by-step explanation:

Setup an equation to solve for the missing test, x. Since you are doing average and there are three tests, divide the left side of the equation by 3. Set the equation equal to 60 since that is what we want the average to be.

[tex]\frac{52+64+x}{3}=60[/tex]

Multiply both sides by 3 to remove it from the denominator.

[tex](3)\frac{52+64+x}{3}=60(3)[/tex]

[tex]52+64+x=180[/tex]

Simplify and solve for x.

[tex]52+64+x=180\\116+x=180\\116-116+x=180-116\\x=64[/tex]

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