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Delicious77 [7]

3 years ago

5

An academy requires there to be 3 teachers for every 72 students and 5 tutors for every 60 students. How many students does the

academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?

1 answer:

vova2212 [387]3 years ago

5 0

For every 24 students there is one teacher. For every 12 students is one tutor. If the Academy had 132 students then you will need 11 tutors.

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What is the y-intercept of this equation? y = -2x + 1

ankoles [38]

Answer:

y intercept at y = 1

Step-by-step explanation:

recall that for a linear equation expressed in slope-intercept form,

y = mx + b, where

m = slope and b = y intercept

in our case, y = -2x + 1, comparing this to the general equation above, we can see that clearly slope, m = -2 and y-intercept, b occurs at y = 1

Hope this helps!

6 0

4 years ago

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A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return

ryzh [129]

The speed from home base to airport was:
$v=255miles/1.7h\ /:1.7\\v=150mph$
The speed from airport to home base was:
$v=255miles/1.5h\ /:1.5\\v=170mph$
Average speed of plane was:
$\frac{170mph+150mph}{2}=160mph$
Average speed of wind was:
$x\ -\ wind\ speed\ (mph)\\150+x=170-x\ /+x\\150+2x=170\ /-150\\2x=20\ /:2\\x=10$
Answer: Average speed of plane was 160mph and average speed of wind was 10mph.

I hope I helped :D

6 0

4 years ago

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Henry located 2 1/4 and 2.1 on a number line. He wrote the following related story:

Rzqust [24]

Answer:

Jerry ran a farther distance and not Henry.

Step-by-step explanation:

We are given the following information in the question:

Jerry rain $2\frac{1}{2}$ miles and Henry ran 2.1 miles.

Henry claimed that he ran a farther distance.

This is a wrong claim because when we compare:

$2\frac{1}{2}$ and 2.1

$2\displaystyle\frac{1}{2} = \displaystyle\frac{5}{2} = 2 + 0.5 = 2.5\\\\2.5 > 2.1$

Hence, Jerry ran a farther distance and not Henry.

Henry may have made some mistake in plotting $2\frac{1}{2}$ and 2.1 on the number line.

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3 years ago

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Tresset [83]

6 and a half miles......

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3 years ago

Whats the function value f(-3) if f(x)=2x-8 ?

Elis [28]

F(-3) = -14

You can get this by plugging in the -3 for x in the equation.

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3 years ago