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elena-14-01-66 [18.8K]
3 years ago
11

If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1

/8 Rap: 1/4 Answers: A. 1/4s = 420 B. S = 1/4 * 420 C. S + 1/4 = 420 D. 420 + s = 1/4
Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

B. s=\dfrac{1}{4}\times420

Step-by-step explanation:

Total number of students surveyed = 420

Of which only \dfrac{1}{4} prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105

The number of students that prefer rap is 105

So the equation is s=\dfrac{1}{4}\times420.

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The shorter leg of a right triangle is 7cm shorter than the longer leg. The hypotenuse is 7cm longer then the linger leg. What i
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The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Step-by-step explanation:

Let,

The longer leg = x

The shorter leg = x-7

Hypotenuse = x+7

Using Pythagoras theorem;

a^2+b^2=c^2\\(x-7)^2+(x)^2=(x+7)^2\\x^2-14x+49+x^2=x^2+14x+49\\2x^2-14x+49-x^2-14x-49=0\\x^2-28x=0\\x(x-28)=0\\

Either,

x= 0

Or,

x-28=0      =>x=28

As length cannot be zero, therefore,

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Shorter side = x-7 = 28-7 = 21cm

Hypotenuse = x+7 = 28+7 = 35cm

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Keywords: triangle, pythagoras theorem

Learn more about triangles at:

  • brainly.com/question/9323337
  • brainly.com/question/9381080

#LearnwithBrainly

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3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 9 large boxes and 7 small boxes has a t
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Answer:

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Step-by-step explanation:

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a = \frac{88}{360}\pir^{2}

a = \frac{88}{360}\pi(5^{2})

a = 19.2 rounded.

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