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Kay [80]
4 years ago
6

On Monday, Mr. Roberts drove 42 miles.

Mathematics
1 answer:
marshall27 [118]4 years ago
7 0

Answer:

The expression is equal to

\frac{1}{2}(42)+5=26\ miles

Step-by-step explanation:

Let

x ----->the distance, in miles, driven by Mr. Roberts on Tuesday

y ----->the distance, in miles, driven by Mr. Roberts on Monday

we know that

x=\frac{1}{2}y+5 -----> equation A

y=42\ miles -----> equation B

solve by substitution

Substitute equation B in equation A and solve for x

x=\frac{1}{2}(42)+5=26\ miles

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
How many gallons of pure water should be evaporated from 160 gallons of a solution containing 12% salt so that the remaining sol
bazaltina [42]
X= # gallons of pure water that should be evaporated

The total amount of salt must be equal before and after evaporation.
STEP 1
BEFORE EVAPORATION: multiply the percent of salt in the solution before evaporation by the total gallons of solution
= 12% * 160 gallonsconvert 12% to decimal form (12% ÷ 100)
= 0.12 * 60

STEP 2
AFTER EVAPORATION: subtract the number of gallons of pure water that should be evaporated from the total number of gallons of the solution and multiply by the percent of salt in the solution after evaporation

= 20% * (160 - x)convert 20% to decimal form (20% ÷ 100)
= 0.20(160 - x)

STEP 3
Set the before & after evaporation equations equal to one another to solve for x.
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CHECK:substitute x= 64 into the step 3 equation
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ANSWER: 64 gallons of pure water should be evaporated.
Hope this helps!  :)
6 0
3 years ago
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The variable r is directly proportional to the square of t, and r = 144 when t = 72.
Paul [167]

Answer:

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