Translate the word phrase into a variable expression. Five more than the product of x and 6. A. (x + 6) + 5 B. 5x + 6 C. 6x + 5
2 answers:
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Answer:
the unit rate for miles per gallons =
Step-by-step explanation:
Let x be the unit rate for miles per gallon.
Given:
Jack drove 43.5 miles. He used 11 gallons of gasoline.
Find the unit rate for miles per gallon?
Jack used 11 gallons of gasoline for 43.5 miles.
11 gallons = 43.5 miles
The unit rate for miles per gallon is
unit rate of gallons = total miles divided by total used gallons of gasoline
Therefore, the unit rate for miles per gallons is 3.95 miles.
Assuming a diagram similar to the one I've attached, ∠<em>YVZ</em> is a vertical angle to ∠<em>WVX</em>, which means they have an equal measure. Additionally, ∠<em>WVZ</em> and ∠<em>WVX</em> form a linear pair, which means they are supplementary (sum to 180°). That means we start out with the equation
We combine our like terms (the <em>x</em>'s get combined, then the constants get combined) and have:
Cancel the 9 first by subtraction:
Cancel the 19 by division:
Since we know that our angle we're looking for, ∠<em>YVZ</em>, is the same measure as ∠<em>WVX</em>, we substitute 9 in for <em>x</em>:
8(9)+28=72+28=100°
We combine our like terms (the <em>x</em>'s get combined, then the constants get combined) and have:
Cancel the 9 first by subtraction:
Cancel the 19 by division:
Since we know that our angle we're looking for, ∠<em>YVZ</em>, is the same measure as ∠<em>WVX</em>, we substitute 9 in for <em>x</em>:
8(9)+28=72+28=100°