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Katen [24]
3 years ago
11

Skyler goes to a school which has 100 students in it. She asks 40 random students whether they like the new 8.30 am start to the

day. 30 of them say no they don’t like it. Use this information to estimate how many students in the whole school dislike the 8.30 am start.
Mathematics
1 answer:
dybincka [34]3 years ago
8 0

Answer:

75 students

Step-by-step explanation:

first write a ratio of the students asked to students dislike

40:30, 40 to 30, or 40/30

now simplify the ratio

4/3

now she asked 40 students, so we have to find out the unit rate

so we have to flip the fraction to 3/4 and then divided the top and bottom by 4

0.75/1

now multiply the top and bottom by 100

75/100

75 students

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The length of chen’s office is 15.5 feet and the width is 7.8 feet find of the office
Dafna11 [192]

Answer:

The area of Chen's office (if that's what you're looking for) is 120.9 feet

Step-by-step explanation:

All I did was a = lw, the formula for finding the area of something using length and width

a = lw

a = 15.5 × 7.8

a = 120.9

Hope this helped.

4 0
3 years ago
I use 1/12 of my salary to pay for rates and taxes,1/16 to pay for insurance and 5/6 to meet other expenses. if i have r320 left
omeli [17]

The yearly salary after paying for taxes, insurances and other expenses is  r808.42.

<h3>What is the yearly salary?</h3>

The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:

1/2 + 1/16 + 5/6

(48 + 6 + 80) / 96 = 134 / 96=  1 19/48

Now subtract 1 19/48 from 1

1 19/48 - 1 = 19/48

Finally, divide 19/48 by 320

320 x 48/19 = r808.42

To learn more about the division of fractions, please check: brainly.com/question/25779356

6 0
2 years ago
Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is
bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula m=\frac{y_2-y_1}{x_2-x_1} to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is m=\frac{6-1}{2-3}

\implies m=\frac{5}{-1}=-5.

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is m=\frac{4-5}{-2- -2}=\frac{-1}{0}= undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is m=\frac{10-8}{2-0}=\frac{2}{2}=+1

A positive slope means this line rises

24)  The points are (-3,-3), (3,1)

The slope is m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2

A negative slope means this line falls

26)  The points are (-2,-8) , (5,-8).

Slope: m=\frac{-8--8}{5--2}=\frac{0}{7}=0

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: m=\frac{3-2}{5--1}=+\frac{1}{6}

A positive slope means this line rises

28) The points are: (\frac{1}{2},4), (-1,4)

Slope: m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0

A zero slope means the line is horizontal

29) The points are: (4,\frac{1}{2}), (5,\frac{1}{4})

Slope: m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}

A negative slope means this line falls.

6 0
3 years ago
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

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(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

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3 years ago
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ICE Princess25 [194]
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3 0
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