Answer:
240 hours
Step-by-step explanation:
1 week = 20 hours
12 weeks = 20 × 12
= 240 hours
Answer: $498.08
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10 feet 6 inches = 126 inches. Length of the car is 126 inches and the model length is 7 inches.
126 : 7 = 18
The scale factor of the model to the actual car is 1 : 18.
You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).
Multiply by 12
... 4(x -1) +3(x +5) = 6
... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses
... 7x +11 = 6 . . . . . . . . . . . .collect terms
... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11
... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient
_ _ _ _ _ _ _
Here it is the other way.
... x(1/3 +1/4) +(-1/3 +5/4) = 1/2
... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms
... x + 11/7 = 6/7 . . . . . . . multiply by 12/7
... x = -5/7 . . . . . . . . . . . subtract 11/7
At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.
Answer:
g(f(x)) = 6x - 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 3x + 1
f(x) = 2x - 5
<u>Step 2: Find</u>
- Substitute: g(f(x)) = 3(2x - 5) + 1
- Distribute 3: g(f(x)) = 6x - 15 + 1
- Combine like terms: g(f(x)) = 6x - 14
