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hodyreva [135]
2 years ago
15

The marching band at parkland high school has 128 students of these 18.75% are ninth graders how many ninth graders are there in

the band
Mathematics
1 answer:
Helen [10]2 years ago
6 0

Hey, Melany. To answer this problem, simply set up a proportion: \frac{18.75}{100} = \frac{x}{128}. Now let's solve for x.

- Cross multiply:\frac{18.75*128}{100*x} --> 2400 = 100x

- Isolate x:

\frac{2400}{100} = \frac{100x}{100}

This means that x = 24.

There are 24 9th graders in the band.


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The return trip took 1 hour 42 minutes longer

Further explanation:

The distance will remain same on return.

The formula for speed is given by:

Speed=\frac{Distance}{Time}

Let d be the distance

s1 be the speed while going and s2 be the speed while returning

and

t1 be the time while going and t2 be the time while returning

d=500 miles

s1=60 miles per hour

s2=50 miles per hour

We have to calculate time for both trips,

So,

<u>Time while Going:</u>

<u>s_1=\frac{d}{t_1}\\t_1=\frac{d}{s_1}</u>

<u>Putting the values of d and s1</u>

<u>t_1=\frac{500}{60}\\=8.3\ hours</u>

<u>Converting 8.3</u>

8 will be the hours,

for 0.3 hour

0.3*60=18 minutes

The first trip took 8 hours and 18 minutes.

<u>Time while returning:</u>

s_2=\frac{d}{t_2}\\t_2=\frac{d}{s_2}

Putting the values of d and s1

t_2=\frac{500}{50}\\=10\ hours

The difference of both times is: 1 hour 42 minutes

So,

The return trip took 1 hour 42 minutes longer

Keywords: Time, Distance, Speed

Learn more about movement at:

  • brainly.com/question/2367554
  • brainly.com/question/2670657

#LearnwithBrainly

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