Question

QUESTION 1 Evaluate −30 ÷ −6. a 5 b −5 c 6 d −6 QUESTION 2 Evaluate 62 ÷ (3 + 9). a3 b4 c12 d21 QUESTION 3 Danny made a mistake in the following problem. The mistake was made in Line . Only input the number of the first incorrect line. Line 1 21 + 35 ÷ 7 + 6(2) Line 2 21 + 5 + 6(2) Line 3 21 + 11(2) Line 4 21 + 22 Line 5 43

Answer 1

A; ?; Line 3

Explanation:

Question 1:

-30 divided by -6 is 5.

The negatives cancel each other out.

And 30 divided by 6 is simply 5.

Question 2:

`62/(3+9)`

Do the operation inside the parenthesis first:

`62/12`

Divide. 12 does not go into 62 evenly. 12 times 5 is 60, so the answer is 5 remainder 2:

`62/12=5\text { R}2`

Or in fractions:

`31/6`

(Was there a typo? From what you've given me, the correct answer is not listed.)

Question 3:

So we have to following steps:

`\text{Line 1: } 21+35/7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+11(2)\\\text{Line 4: }21+22\\\text{Line 5: }43`

The mistake is in Line 3. Danny cannot just combine 5+6(2) into 11(2). Instead, he should multiply 6(2) and then add. Thus, the correct solution is:

`\text{Line 1: } 21+35/7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+5+12\\\text{Line 4: }26+12\\\text{Line 5: }38`