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dimulka [17.4K]
3 years ago
6

a construction crew built 4 1/2 miles of Road and 3 3/8 days. What is the unit rate in miles per day? Write your answer as a fra

ction or mixed number in simplest form.
Mathematics
1 answer:
sineoko [7]3 years ago
5 0

The construction crew took 3\frac{3}{8} days to build 4\frac{1}{2} miles of road.

Therefore, in 1 day, the crew built \frac{4\frac{1}{2} }{3\frac{3}{8} } miles of road

= \frac{\frac{9}{2} }{\frac{27}{8} } =\frac{9}{2}times\frac{8}{27}=\frac{4}{3} miles of road

Thus, the required rate is \frac{4}{3} miles or 1\frac{1}{3} miles per day.

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The larger of two numbers is eight more than twice the smaller. The sum of the numbers is 10 less than three times the larger. F
Alinara [238K]

Answer:

-2 and 4

Step-by-step explanation:

Let's set the larger number to x, and the smaller to y. With these, we can set up our equations.

x = 2y + 8

x + y = 3x - 10

Now, we put the value of x into the second equation.

2y + 8 + y = 3(2y + 8) - 10

Now we can solve for y

3y + 8 = 6y + 24 - 10

3y + 8 = 6y + 14

8 = 3y + 14

-6 = 3y

-2 = y

Now that we have the smaller number, we can put it into the first equation and solve for the larger.

x = 2*-2 + 8

x = -4 + 8

x = 4

So your two numbers are -2 and 4.

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3 years ago
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Answer:
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