Joe worked as a waiter at a charity banquet. He earned $17.50 for each hour worked. Joe also received a tip for this event in the amount of $35.80. In order to work the banquet, Joe had to rent a uniform which cost $21.38 for the day. Joe worked 4 hours at the event and 2.5 hours helping set up the night before. Joe used his money earned to repay a loan he owes his dad in the amount of $250. The expression below can be used to find Joe’s new loan balance after paying his dad. 250 – 17.5(4 + 2.5) – (35.80 – 21.38)

How much does Joe now owe his dad for the loan?

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

the radius is 2 times the diameter.

step-by-step explanation:

sorry i got nothing

step-by-step explanation:

just took the test and my answers down below!

step-by-step explanation:

check the pic :