Ken has $950 in a savings account at the beginning of the summer. He wants to have at least $600 in the account at the end of the summer. He withdraws $35 a week for entertainment. Write an inequality for the number of weeks Ken can withdraw money, and solve the inequality.

Question

Responses
A 950 - 35w ≥ 600; w ≤ 10950 - 35w ≥ 600; w ≤ 10
B 950 - 35w ≥ 600; w ≤ 11
C 950 + 35w ≥ 600; w ≥ 10950 + 35w ≥ 600; w ≥ 10
D 950 + 35w ≥ 600; w ≥ 11

Answer 1

The correct inequality is:

A) 950 - 35w ≥ 600; w ≤ 11

Now let's solve the inequality:

950 - 35w ≥ 600
-35w ≥ -350
w ≤ 10

Therefore, Ken can withdraw money for up to 10 weeks in order to have at least $600 in his account at the end of the summer.

Answer 2

Heather is trying to decrease the amount of toys that Oliver has. Originally, he had 55 toys in his room and now he only has 30. By what percentage did Heather decrease the amount of toys?
Responses
A 25%25%
B 40%40%
C 45%45%
D 83%83%
E 120%

Answer 3

To calculate the percentage decrease in the number of toys, you first need to find the difference between the original number of toys and the new number of toys, and then divide that difference by the original number of toys.

Original number of toys = 55
New number of toys = 30

Difference = 55 - 30 = 25

Percentage decrease = (25 / 55) x 100% ≈ 45.45%

Therefore, Heather decreased the number of toys by approximately 45%, so the correct option is:

C) 45%