Answer:
subtract 2x on both sides
Step-by-step explanation:
Answer:
The length of the model is 21 inches
Step-by-step explanation:
we have
The scale factor
That means
1 unit in the model represent 12 units in the actual
1 inch in the model represent 12 inches in the actual
Remember that
so
1 inch in the model represent 1 ft in the actual
The scale factor is
therefore
21 ft in the actual represent 21 inches in the model
Answer:
210 miles
Step-by-step explanation:
Let's represent it mathematically.
Ben drove 65 miles more than half the number of miles Steve drove, so we represent it by
B = 65 + ½S
It is also said that together, they drove 500 miles, we represent it with.
B + S = 500
Now, we solve simultaneously.
Let's eliminate the ½ in Ben's drive. So we multiply the equation by 2.
2B = 130 + S.
Rearranging, we have
S = 2B - 130.
We substitute this value of S, in the second equation. So we have.
B + (2B - 130) = 500, open the brackets
B + 2B - 130 = 500
3B - 130 = 500, collecting the like terms
3B = 500 + 130
3B = 630
B = 630/3
B = 210 miles.
Therefore, Ben drove 210 miles.
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Answer:
56 pints
Step-by-step explanation:
There are 56 pints in 112 cups