Carter has two test grades of 83, four grades of 86, and 3 grades of 92 on his first nine math tests. His final exam will be weighted as three test grades, write an equation that shows that Shakiraquan's final grade for the term will be 88?

Answer 1

#(2(83)+4(86)+3(92)+3x)/12 = 88#

He would need to score #90# on the final to earn an #88# in the class.

#(2(83)+4(86)+3(92)+3x)/12 = 88#
#(166+344+276+3x)/12 = 88#

The denominator can be removed by applying the multiplicative inverse.

#cancel 12 * (166+344+276+3x)/cancel12 = 88*12#
#166+344+276+3x = 1056#
#786 +3x = 1056#

To separate the variable term, use the additive inverse.

#cancel786 +3x cancel (-786)= 1056-786

The variable can be isolated by using the multiplicative inverse.

#((cancel3)x)/cancel3 = 270/3#
#x = 90#
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Answer 2

To calculate Carter's final grade for the term, we first need to determine the total points he earned from his nine math tests and the final exam.

Given:

  • Two test grades of 83
  • Four test grades of 86
  • Three test grades of 92
  • Final exam weighted as three test grades

To calculate the total points earned from the nine math tests: Total points = (number of grades of each score * score) + (number of grades of each score * score) + (number of grades of each score * score) Total points = (2 * 83) + (4 * 86) + (3 * 92)

To calculate the total points for the final exam: Final exam points = final exam score * weight of final exam Final exam points = final exam score * 3

Carter's final grade for the term will be the sum of the total points earned from the nine math tests and the final exam points, divided by the total number of tests (which includes the final exam weighted as three test grades).

Final grade = (Total points + Final exam points) / (Total number of tests + 3)

Substituting the calculated values into the equation will provide the final expression to determine Carter's final grade.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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