Kevin is an expert pastry chef he can bake and decorate an entire cake in 30 minutes. he can also bake and frost a cupcake in 10 minutes. if he works 12 hours on these two tasks and ends of making a total of 3 cakes, how many cupcakes did he make?

a) 48
b) 56
c) 63
d) 102

C) 63

Step-by-step explanation:

3 cakes translates to 30 minutes each, so 1.5 hours.  If he worked 12 hours total and 1.5 were used to make cakes then the rest were used for cupcakes.  This means 12-1.5 = 10.5 hours were spent on cupcakes.  

Each cupcake takes 10 minutes, which means in 10.5 hours, or 630 minutes, 63 cupcakes can be made.  So C

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!