A student is trying to calculate his semester average. He knows that his test average is an 85, his quiz average is a 79, homework is a 92, and classwork is a 95. If tests and quizzes are worth 30% each, and homework and
classwork are worth 20% of his overall average, what is his average? Round to the nearest tenth.

The student's average is 86.6.

Step-by-step explanation:

Since a student is trying to calculate his semester average, and he knows that his test average is an 85, his quiz average is a 79, homework is a 92, and classwork is a 95, if tests and quizzes are worth 30% each , and homework and classwork are worth 20% of his overall average, to determine what is his average the following calculation must be performed:

(85 x 3 + 79 x 3 + 92 x 2 + 95 x 2) / 10 = X

(255 + 237 + 184 + 190) / 10 = X

866/10 = X

86.6 = X

Therefore, the student's average is 86.6.

The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D

Step-by-step explanation:

Let us find the greatest common factor of 16 and 24

∵ 16 = 1 × 16, 2 × 8, 4 × 4

∴ The factors of 16 are 1, 2, 4, 8, 16

∵ 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6

∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

→ Find the common factors of 16 and 24

∵ The common factor of 16 and 24 are 1, 2, 4, 8

∵ The greatest one is 8

∴ The greatest common factor of 16 and 24 is 8

→ Take 8 as a common factor from 16m and 24

∵ 16m ÷ 8 = 2m

∵ 24 ÷ 8 = 3

∴ 16m - 24 = 8(2m - 3)

∴ The espression 8(2m - 3) shows the length and the width of

   the rectangle