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dimaraw [331]
3 years ago
14

Find the unit rate 180 miles in 4 hours = miles per hour

Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

Answer:

= 45 miles per hour

Step-by-step explanation:

First, we want a unit rate where 1 is in the denominator.

So we divide,

180 miles/ 4 hours both ÷ by 4

= 45 miles/ 1 hour

= 45 miles/ hour

= 45 miles per hour

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Find x in the proportion x:6= 25:5​
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Step-by-step explanation:

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(05.08) Solve for x: 2 over quantity x minus 2 plus 7 over quantity x squared minus 4 equals 5 over x. (2 points) x = negative 4
Oxana [17]

Answer:

Step-by-step explanation:

The best way to do this is to use your LCM and eliminate the fractions.  To find the LCM you have to use all the denominators as a multiplier so the denominator in each term cancels out.  We will first factor the x-squared term to simplify and see what 2 factors are hidden there.

x^2-4 factors to (x + 2)(x - 2).  That means that our 3 denominators that make up our LCM are x(x+2)(x-2).  We will mulitply that in to each term in our rational equation, canceling out the denominators where applicable.

x(x+2)(x-2)[\frac{2}{(x-2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}]

In the first term, the (x-2) will cancel leaving us with

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In the second term, the (x+2)(x-2) cancels out leaving us with

x[7].

In the last term, the x cancels out leaving us with

(x+2)(x-2)[5] which simplifies to

x^2-4[5]

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2x² + 4x + 7x = 5x² - 20

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x = 5 and x = -4/3

4 0
4 years ago
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