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Salsk061 [2.6K]
3 years ago
11

How many solutions does the equation have?

Mathematics
1 answer:
son4ous [18]3 years ago
3 0
The equation would have infinite solutions.
First, distribute on both sides, and you get 12x - 6 = 12x - 6.
There are two ways to do this from here. first is: you add six to both sides and they'll cancel out, and you'll have 12x = 12x. Then you divide by 12 on both sides and get x = x.  When the two sides equal the same thing, there are infinite solutions.
Or, we can do the easy way. As you can see, 12x-6 = 12x-6. Both the sides are clearly the same, so we actually don't need to do the rest.
ANSWER: infinite solutions
Hope this helped!!(:
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Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did
svetoff [14.1K]
I added a screenshot with the complete question

<u><em>Answer:</em></u>
Total miles = 2.5 miles

<u><em>Explanation:</em></u>
<u>1- While walking:</u>
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked \frac{20}{60} =  \frac{1}{3} of an hour at a rate of 3 miles per hour
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Distance = velocity * time
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Distance = 3 * \frac{1}{3} = 1 mile

<u>2- While running:</u>
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran \frac{15}{60} =  \frac{1}{4} of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
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<u>Substitute with the givens to get the distance she covered while running:</u>
Distance = 6 * \frac{1}{4} = 1.5 miles

<u>3- getting the total mileage:</u>
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Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

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