What value from the set {6, 7, 8, 9, 10} makes the equation 5x + 2 = 47 true? Show your work.
1 answer:
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Answer:
D
Step-by-step explanation:
Remember that the formula for the area of a rectangle is:
Where l is the our length and w is our width.
If we increase our length by 20%, this means that we add 20% or 0.2 of our old length to our old length. So, our new length will be:
Combine like terms:
Similarly, if we increase our width by 10%, this means that we add 10% or 0.1 of our old width to our old width. So, our new width is:
Combine like terms:
Therefore, our new area will be:
Substitute 1.2l and 1.1w. This yields:
Multiply:
Our old area is:
So, our area increased by a factor of 1.32.
This is the same as 32% of our old area.
So, our answer is D.
And we're done!