Markus scared 85, 92, 82, and 94 on the first four tests of the semester. His teacher has not yet told him his score on his fifth test, but did tell him that his score on the fifth test is five points lower than the average (arithmetic mean) of all five tests. Which equation could Markus use to determine the score of the fifth test, x?

y — x = 5

5y — x = 353

Step-by-step explanation:

Let the fifth score be x

Let the average of all the scores be y.

But the fifth score is 5 points lower than the average ie

y — x = 5 (1)

The average of the scores is the sum of all the scores divided the number of scores. This is written as

y = (85 + 92 + 82 + 94 + x) /5

y = (353 + x) /5

Multiply through by 5

5y = 353 + x

Rearrange the equation

5y — x = 353 (2)

The equation Markus will use to determine the x is given as

y — x = 5

5y — x = 353

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3