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docker41 [41]
3 years ago
7

Rosanne is training for the Austin marathon, so she plans to run 10 miles in her neighborhood this weekend. It usually takes her

an hour to run 6 miles. If she generally drinks 0.5 cups of water every 1 3 of an hour, how many cups of water will she drink on her run?
Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:2.5 cups

Step-by-step explanation:

Given

Rosanne runs 6 miles in an hour

If she drinks 0.5 cups of water every  \frac{1}{3}  of an hour

So in 1 hour Rosanne drinks 1.5 cups

So, for 6 miles Rosanne drinks 1.5 cups

i.e. For   1\ mile \quad \equiv \quad \frac{1}{4}\ \text{cup}

for    10\ mile\quad \equiv \quad \frac{10}{4}\ \text{cup}

=2.5\ \text{cup}

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3 years ago
Could someone explain this to me ??
hodyreva [135]
<h3>Answer: C) 12</h3>

========================================================

Explanation:

Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.

For now, let's focus on triangle DEC.

The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.

For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.

For any triangle, the three angles always add to 180

y+65+65 = 180

y+130 = 180

y = 180-130

y = 50

So angle DCE is 50 degrees.

-------------------------------

Now we move onto triangle ABC.

Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.

So triangle ABC has the three angles y = 50, y = 50 and 7x-4

We can solve for x like so

y+y+(7x-4) = 180

50+50+(7x-4) = 180

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x = 12

This points to choice C as the final answer.

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3 years ago
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the answer for this question is (B) 5,-2

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