2. Write the ratio as a fraction in simplest form, 20 mi to 32 mi. (picture)
1 answer:
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A histogram with frequency on the x-axis and ages on the y-axis is shown below. Then the correct option is A.
<h3>What is a histogram?</h3>A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
A large construction company wants to review the ages of its sales representatives.
A sampling of the ages of 25 sales reps are given:
50, 42, 32, 35, 41, 44, 24, 46, 31, 47, 36, 32, 30, 44, 22, 47, 31, 56, 28, 37, 49, 28, 42, 38, 45.
Then the histogram with frequency table is given as
Range Frequency
20 to 24 2
25 to 29 2
30 to 34 5
35 to 39 4
40 to 44 5
45 to 49 5
50 to 54 1
55 to 59 1
Then the correct option is A.
The histogram is given below.
More about the histogram link is given below.
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The correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
<h3>Solving inequality</h3>From the question, we are to solve the inequality
The given inequality is
–3(2x – 5) < 5(2 – x)
First, clear the brackets
–6x + 15 < 10 – 5x
NOTE: This is one of the correct representations of the inequality
Collect like terms
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1 and flip the sign
x > 5
Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.
Hence, the correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
Learn more on Inequalities here: brainly.com/question/246993
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