Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 1/3 the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?

Answer 1

Let J be the number of cupcakes JoJo decorates
Darcy:8 cupcakes
J=1/3J+2
2/3J=2
J=<<3=3>>3 cupcakes. Answer: \boxed{3}.

Answer 2

When multiplying two rational numbers, how is the sign of the product determined?

Answer 3

When multiplying two rational numbers, the sign of the product is determined by the following rule:

- If the two rational numbers have the same sign (both positive or both negative), the product will be positive.
- If the two rational numbers have different signs (one positive and one negative), the product will be negative.

Answer 4

On a given morning the temperature was 81 F. The temperature dropped 9 F and rose 5 F. How much does the temperature need to rise to return to the initial temperature of 81 F?

Answer 5

The temperature initially was 81 F. It dropped 9 F, so the temperature is now 81 - 9 = 72 F.
Then, the temperature rose 5 F, so the current temperature is 72 + 5 = 77 F.

To return to the initial temperature of 81 F, the temperature needs to rise 81 - 77 = 4 F.