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ArbitrLikvidat [17]
3 years ago
13

A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for th

e number of students who own a pet?
Mathematics
2 answers:
zepelin [54]3 years ago
7 0

Answer:

Reasonable prediction = 240 students

Step-by-step explanation:

Given that:

6 out of every 8 students own a pet.

Ratio = 6 : 8

Number of students surveyed = 320

Predicted number of students who own pets = x

Ratio = x : 320

As the relationship is proportional;

6 : 8 :: x : 320

Product of mean = Product of extreme

8x = 320 * 6

8x = 1920

Dividing both sides by 8

\frac{8x}{8}=\frac{1920}{8}\\x=240

Hence,

Reasonable prediction = 240 students

Anna [14]3 years ago
4 0
Answer: 240 students

Explanation:

320 ÷ 8 = 40 (40 groups of 8)

40 x 6 = 240
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A = 1200(1 + 0.06)^2= 1348.32


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4 years ago
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Write an appropriate direct variation equation if y = 18 when x = 2
Sergeu [11.5K]

Answer:

y=9x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem we have

y=18 when x=2

Find the value of the constant of proportionality k

k=\frac{y}{x} ----> k=\frac{18}{2}=9

therefore

The equation is equal to

y=9x

8 0
4 years ago
4x+(x-y/8)=17 and 2y+x-(5y+2/4)=2 by using elimination method
vladimir2022 [97]

Answer:

x=811/238, y=36/119. (811/238, 36/119).

Step-by-step explanation:

4x+(x-y/8)=17

2y+x-(5y+2/4)=2

-----------------------

4x+x-y/8=17

5x-y/8=17

40x-y=136

y=40x-136

------------------

2y+x-5y-2/4=2

2y-5y+x-1/2=2

-3y+x=2+1/2

-3y+x=4/2+1/2

-3y+x=5/2

-3(40x-136)+x=5/2

-120x+408+x=5/2

-119x=5/2-408

-119x=5/2-816/2

-119x=-811/2

119x=811/2

x=(811/2)/119

x=(811/2)(1/119)=811/238

y=40(811/238)-136

y=16220/119-136

y=36/119

x=811/238, y=36/119.

4 0
4 years ago
The Diagram shows the net of a square pyramid and its dimensions ​
Serjik [45]

<u>Answer:</u>

<h2>SA = 84 ft²</h2>

<u>Explanation:</u>

SA = the area of one side of the pyramid times 4 + the area of the base of the pyramid

Area of a triangle = (height × base)/2

Area of a sqaure = lenght²

given:

h = 4 ft | b = 6 ft | l = 6 ft

SA = 4(h×b×1/2) + l²

SA = 4(4×6×1/2) + 6²

SA = 4×12 + 36

SA = 48 + 36

SA = 84 ft²

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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