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love history [14]
4 years ago
11

Caleb surveyed students in his high school and ask them to name their favorite kind of music. The results are shown.

Mathematics
1 answer:
Elanso [62]4 years ago
7 0

Answer:

<u>Option A. 0,1,2,3,4</u>

Step-by-step explanation:

The rest of the question is the results of survey, the results is as following:

Rock 50%

Country 30%

Hiphop 10%

Classical 10%

<u>Solution:</u>

Caleb signs the numbers zero through nine to the music category and uses a random number generator on his calculator.

So, the number of digits from 0 to 9 = 10

Since 50% represents the number of students interested in Rock, So, he want to have 50% of the digits to represent Rock.

50% of 10 numbers is 5 numbers.

So, The option which has 5 digits is option A. 0,1,2,3,4

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The length of a rectangle is 5 feet more than twice the width. The perimeter is 130 feet. Find the dimensions.
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So,

The problem tells us that the length of the rectangle is 5 feet more than twice the width.
Mathematically:
length = 5 + 2width
l = 5 + 2w


We know that the perimeter is 2l + 2w.
2l + 2w = 130

2(5 + 2w) + 2w = 130

Distribute
10 + 4w + 2w = 130

Collect Like Terms
10 + 6w = 130

Subtract 10 from both sides
6w = 120

Divide both sides by 6
w = 20

The width is 20.


Since
l = 5 + 2w

Substitute
l = 5 + 2(20)

Multiply
l = 5 + 40

Collect Like Terms
l = 45

The length is 45.

Check
2l + 2w = 130

2(45) + 2(20) = 130

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130 = 130

Width: 20 ft.
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