1. which expression replaces the blank to form a equation. 30 ÷ 2 + 2 x 7 = blank a. 3(10 ÷ 2) + 2 x 7 b. 30 ÷ (6+ 2) x 7 c. 3(10) ÷ (2 +2) x 7 d. (5+2) x 7 2. which value of x makes the open sentence 4 = 10x true? a. 0.4 b. 2.5 c. 4 d. 25 3. simplify : | - 7.5 | - |10.3| a. -17.8 b. -2.8 c. 2.8 d. 8.2 4. twelve less than the product of a number and 6 is 60. which equation models the sentence? a. 12 - n x 6 = 60 b. n ÷ 6 + 12 = 60 c. n x 6 - 12 = 60 d. n ÷ 6 - 12 = 60

Step-by-step explanation:

1. The given expression evaluates to ...

  30÷2 + 2·7 = 15 + 14 = 29

The offered choices evaluate to ...

  A: 3(10÷2) + 2·7 = 3·5 + 2·7 = 15 + 14 = 29 . . . . . this will make it true

  B: 30÷(6+2)·7 = (30/8)·7 = 210/8 = 26 1/4 . . . . . . ≠ 29

  C: 3(10)÷(2+2)·7 = 30/4·7 = 210/4 = 52 1/2 . . . . . ≠ 29

  D: (5+2)·7 = 7·7 = 49 . . . . . . . . . . . . . . . . . . . . . . . ≠ 29

2. You can divide the equation by 10 to find the appropriate value of x.

  4/10 = 10x/10 = x . . . . . 4/10 matches choice A

3. The expression simplifies to ...

  7.5 -10.3 = -2.8 . . . . . . matches choice B

4. "The product of a number and 6" is n×6. Twelve less is n×6 - 12. When that "is 60", the equation can be written ...

  n×6 - 12 = 60 . . . . . . . . matches selection C

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105