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Monica [59]
2 years ago
15

Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per

hour for the rest of her run. If the total distance she runs is 5 miles, how many minutes was the run, in total?
Mathematics
1 answer:
iren2701 [21]2 years ago
8 0

Answer:

42 minutes

Step-by-step explanation:

Here we want to calculate the number of minutes ran in total.

Kindly note that;

Time = distance/speed

Her starting speed is 10 miles/hour

but she ran for 12 minutes.

Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour

So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles

Now the rest of distance to run would be ;

5 -2 = 3 miles

She ran 3 miles at a speed of 6 miles per hour.

Time spent here is 3/6 = 0.5 hours which is same as 30 minutes

Total time spent = 30 + 12 = 42 minutes

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Answer:

The product results in: 6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}, which agrees with answer A of the given choices.

Step-by-step explanation:

We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

(\sqrt{12} +\sqrt{6} )(\sqrt{6} -\sqrt{10} )=\\=\sqrt{12*6} -\sqrt{12*10} +\sqrt{6*6} -\sqrt{6*10} =\\=\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60}

and now, we extract as many factors we can from the roots to reduce them:

\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60} =\\=6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}

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1 year ago
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The graph of the function f(x) = –(x + 6)(x + 2) is shown below. On a coordinate plane, a parabola opens down. It goes through (
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Answer:

see below

Step-by-step explanation:

f(x) = –(x + 6)(x + 2)

The function is increasing until it reaches the vertex, so it will increase until x=-4.  The function will decrease after the vertex, so after x = -4

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Reggie heard that as a general rule, he should save at least 10% of his take- home pay. If Reggie's take-home pay is $2340 per m
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We are given to understand as per the problem that one must save 10% of their take home pay.

Reggie's take home pay is $2,340 per month

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Since we need to know the savings in a year, we have to multiply the monthly savings by 12 since there are 12 months a year

Minimum amount per year that he should save = $234 *12 = $2,808

Minimum amount per year that he should save = $2,808

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A man on a diet is losing four-tenths of a kilogram each day. How many days will it take him to lose 3.2 kilograms?
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so he's losing 4/10 of a Kg daily, how many times will that equal 3.2 Kgs? namely how many times does 4/10 go into 3.2?

well, let's firstly convert 3.2 to a fraction, and then divide.

\bf \stackrel{\textit{1 decimal}}{3.\underline{2}}\implies \cfrac{32}{\underset{\textit{1 zero}}{1\underline{0}}}\implies \cfrac{16}{5} \\\\[-0.35em] ~\dotfill

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