What is the simplified form of the expression? Show all of your work for credit.

Question

-5 [ 4² ÷ ( 49 - 41) + 6]

Answer 1

First, let's simplify the expression inside the square brackets:
(49 - 41) = 8
4² = 4 * 4 = 16

So, the expression inside the square brackets becomes:
16 ÷ 8 + 6 = 2 + 6 = 8

Now, substitute this value back into the original expression:
-5 * 8 = -40

Therefore, the simplified form of the expression is -40.

Answer 2

Simplify the expression. Show your work.



6xy−7y

Answer 3

To simplify the expression 6xy - 7y, we can factor out the common factor y from both terms:

6xy - 7y = y(6x - 7)

Therefore, the simplified form of the expression is y(6x - 7).

Answer 4

Sarah is making a balloon arc, with pink and yellow balloons, for decorating her brother’s birthday party. For the balloon arc, she needs 4 more pink balloons than twice the yellow balloons. If she has x yellow balloons, then how many pink balloons are needed to finish making the balloon arc? Write an expression she would use to determine the total amount of balloons needed for the arc.

Answer 5

According to the given information, Sarah needs 4 more pink balloons than twice the number of yellow balloons (x).

To determine the total number of balloons needed for the arc, she would use the expression:
2x + 4

This expression represents twice the number of yellow balloons (2x) plus 4 additional pink balloons needed for the arc.