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1 answer:
Answer:
a) The Total fee, that Mike charges for 4 hours of instruction is $152
b) The total fee, that Tony charges for 4 hours of instruction is $148
c) The difference between total fee Mike and Tony charge for 4 hours of instructions is $4
Step-by-step explanation:
a) What is the total fee, that mike charges for 4 hours of instruction.
Mike charges $12 for travel expenses and $35 per hour for instruction.
So, the equation will be: where h is number of hours and y is cost
Put h=4 and find cost
So, the Total fee, that Mike charges for 4 hours of instruction is $152
b) What is the total fee, that Tony charges for 4 hours of instruction
Tony's fee can be modelled by C=32h+20 where h is number of hours and C is cost
Put h=4
So, the total fee, that Tony charges for 4 hours of instruction is $148
c) What is the difference between total fee Mike and Tony charge for 4 hours of instructions.
Cost for Mike = $152
Cost for Tony = $148
Difference = 152 - 148 = 4
So, the difference between total fee Mike and Tony charge for 4 hours of instructions is $4
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Answer: x= 8.
Step-by-step explanation: Given equation -3(2x-3)=25-8x.
Step 1: We have -3 in front of (2x-3). We always simplify a parenthesis first.
Therefore, applying Distributive property in first step, we get
-6x +9 = 25-8x.
Step 2: We need to get rid 9 from left side to get constant numbers on right side.
9 is being added on left side.
So, we would apply reverse operation of addition.
Therefore, applying Subtraction property of equality, we get
-6x +9-9 = 25-8x-9
-6x =16 -8x.
Step 3: We need to get rid 8x from right side.
The reverse operation of subtraction is addition.
Therefore, applying Addition property of equality, we get
-6x+8x =16 -8x+8x
2x = 16.
Step 4: We need to isolate it for x.
So, applying Division property of equality, we get