<h3>
Answer: C) 13 gallons</h3>
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Work Shown:
(150 miles)/(6 gallons) = (325 miles)/(x gallons)
150/6 = 325/x
150*x = 6*325 .... see note below
150x = 1950
x = 1950/150 .... divide both sides by 150
x = 13 gallons is the final answer
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Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.
Answer:
f^-1(x) = 3 - 5x, second option
Step-by-step explanation:
To determine the inverse simply interchange the variables and solve for y;
f(x) = 3 - x / 5 -> Interchange the variables
x = 3 - y/5 -> Multiply either side by 5
5x = 3 - y -> Subtract three from either side
- y = 5x - 3 -> Divide either side by - 1
y = - 5x + 3
Your solution is f^-1(x) = 3 - 5x
Answer:
(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.
Step-by-step explanation:
Given



Required
Which circle could she use
To do this, we simply calculate the areas of all the given circles
The area of a circle is:

Where


The area is calculated as thus:





The area is calculated as thus:




<em></em>

The area is calculated as thus:





The area is calculated as thus:




<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>
Answer:
D
Step-by-step explanation: