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3 years ago

Kara travels at a constant speed of 72 miles per 2 hours. At this rate, how far does she travel after 6.5 hours?

Mathematics

1 answer:

dybincka [34]3 years ago

4 0

Answer:

234 hours

Step-by-step explanation:

To find the miles per hour, divide 72 by 2 and that equals 36. So 36 miles every hour. So then do 36 × 6 which equals 216. So this is 216 miles in 6 hours, but you still need 0.5 of an hour, so to find how far she travels in 0.5 of an hour, divide the amount she travels in one hour by two. So 36 ÷ 2 which equals 18. So she travels 18 miles every 0.5 of an hour. Then add 18 to the 216 which equals 234.

Hope This Helps!!!

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carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can w

zheka24 [161]

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

$\frac{5}{\frac{2}{3}}=7.5$

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

8 0

3 years ago

Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

$y=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

<u>Determining the value of x:</u>

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

<u>Determining the value of y:</u>

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

5 0

3 years ago

ITS A BIT BLURRY BUT IT WORKS SOMEONE PLEASE GET THIS DONE IN THE NEXT FEW MINUTES ILL MARK BRAINLIEST

ZanzabumX [31]

Answer:

a) m∠T

b) line W and line Z

c) ∠ZTU

d) ∠YTX

e) 90° or m∠5

f) m∠1 and m∠2

g) m∠2

h) 180° or m∠1 & m∠5 or m∠2 & m∠3 & m∠4

i) line WTY and line YTX

j) the angle bisector U

Step-by-step explanation:

5 0

3 years ago

Plz help me get the answer ASAP

AnnyKZ [126]

Answer:

Step-by-step explanation:

$-\dfrac{1}{3}c7\qquad\text{multiply both sides by 3}\\\\c>21$

8 0

3 years ago

Please help i have an F right now

AnnZ [28]

Answer:

Step-by-step explanation:

If you add up all of those, you get 24. Then you divide by 6. 24/6 = 4.

7 0

3 years ago