Part A: Charlie's answer is incorrect
In step 2 of Charlie's answer he subtracted 5 from each side. Since 5x is multiplication, he must DIVIDE each side by 5 to get x by itself. The problem should have worked out like this...
Step 1: 5x = 30
Step 2: x = 30/5
Step 3: x = 6
Part B: There is only 1 solution for this problem.
Answer:
c=0.02(m)+30(5)
or
c= 150+0.02(m)
or
c=0.02(m)+150
or
c=30(5)+0.02(m)
Step-by-step explanation:
This is because c, or cost is equal to 30 dollars a day as a base fee or 150 total for five days plus 0.02 per mile. So, if you multiple the mileage driven by 0.02 and add 150 for the 30$ per day at 5 days. This is your equation
These are just different ways you could write that since it is clear you have a multiple choice question
Answer:
B' will be at (0, -3)
Step-by-step explanation:
if A is (5, 1), and A' is (6, -2) that means that the value of x increased by 1 and y decreased by three. Because translations are uniform, you apply this to B, getting (0, -3)
Answer:
Kathy would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.
Step-by-step explanation:
Kathy ran the 400-meter dash in 60.48 seconds, so if she now divided that time into 8 equal time segments we have:

By dividing the above equation into 8:

Hence, she would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.
I hope it helps you!