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shtirl [24]
3 years ago
6

Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.

He traveled for a total of 3 hours.
Which equation can be used to find the time it took Stu to hike the trail?

3t = 5
3t = 5(3 – t)
3 + t = 5 + (3 – t)
3t + 5(3 – t) = 3
Mathematics
1 answer:
nadya68 [22]3 years ago
4 0

Answer:

The correct answer:

B.) 3t = 5(3 – t)

Step-by-step explanation:

Drag each tile to the correct cell in the table.

Trip to end of trail — 3,   t,   3t

Trip back — 5,   3 - t,   5(3 - t)

Tap the THANKS button and RATE ⭐️

(If helpful)

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Cruz is training to compete in a triathlon. He left his house at 6:00 and ran until 7:30. Then he rode his bike until 9:45. He c
Reika [66]

The speed in running is 10 mph and speed in biking is 16 mph

<em><u>Solution:</u></em>

Given that, Cruz is training to compete in a triathlon

He left his house at 6:00 and ran until 7:30

Time taken for running = 1.5 hours

Then he rode his bike until 9:45

7: 30 to 9: 45 is biking time

Time taken for biking = 2.25 hours

He covered a total distance of 51 miles

Total distance = 51 miles

Let "x" be the speed in running

His speed when biking was 1.6 times his speed when running

Speed in biking = 1.6x

Total distance = distance in running + distance in biking

The distance is given by formula:

distance = speed \times time

Therefore,

Total\ Distance = x \times 1.5 + 1.6x \times 2.25\\\\51 = 1.5x + 3.6x\\\\5.1x = 51\\\\x = 10

Thus speed in running is 10 miles per hour

Speed in biking = 1.6x = 1.6(10) = 16

Thus speed in running is 10 mph and speed in biking is 16 mph

8 0
3 years ago
On a skiing trip there are five people but only three pairs of skis how many different groups of three could ski
____ [38]
10 different groups can ski.

This is a combination of 5 items taken 3 at a time:
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3 0
3 years ago
The interest rate r required to increase your investment p to the amount a in t years is found by . Find the interest rate r for
Dahasolnce [82]

Answer:

The interest rate was of 0.1173 = 11.73%.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

A = E + P

In this problem, we have that:

A = 10000, P = 8100, t = 2

So

A = E + P

10000 = E + 8100

E = 1900

So

1900 = 8100*I*2

I = \frac{1900}{8100*2}

I = 0.1173

The interest rate was of 0.1173 = 11.73%.

7 0
3 years ago
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borishaifa [10]

\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{\stackrel{3959+5.9}{3964.9}}\\ a=\stackrel{adjacent}{3959}\\ b=\stackrel{opposite}{x}\\ \end{cases} \\\\\\ \sqrt{3964.9^2-3959^2}=x\implies \sqrt{46751.01}=x\implies 216.22\approx x

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Find the GCF of 260,80,50
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Answer:

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Step-by-step explanation:

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