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erica [24]
3 years ago
8

Which inequality correctly compares 2/5, 6/7, 5/8, and 1?

Mathematics
1 answer:
Rasek [7]3 years ago
5 0

Answer:

<u>1 > 6/7 > 5/8 > 2/5</u>    <u>OR</u>     <u>2/5 < 5/8 < 6/7 < 1 </u>

Step-by-step explanation:

Given 2/5, 6/7, 5/8, and 1

We need to make the numbers in order from the least to the greatest or from the greatest to the least

The easy method is convert the rational numbers to decimal numbers

So,

2/5 = 0.4

6/7 ≈ 0.857

5/8 = 0.625

1 = 1

So, the numbers form the least to the greatest are:

0.4 , 0.625 , 0.857 , 1

So,

2/5 , 5/8 , 6/7 , 1

The inequality correctly compares the numbers are:

<u>2/5 < 5/8 < 6/7 < 1</u>

Or can be written from the greatest to the least as:

<u>1 > 6/7 > 5/8 > 2/5 </u>

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Answer: Ali would need to drive 350 miles for the two plans to cost the same.

Step-by-step explanation:

This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.

Let the cost be C.

Let the number of miles be M.

Let the initial payment be i.

Let the rate per mile driven be R.

Plan 1:

C = i+R×M

C = 70+0.60M ... equation 1

Plan 2:

C = i+R×M

C = 0+0.80M

C = 0.80M ...equation 2

Substituting equation 2 into equation 1:

0.80M = 70+0.60M

0.80-0.60M = 70

0.20M = 70

M = 70/0.20

M = 350 miles

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3 years ago
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Answer:

1/10

Step-by-step explanation:

-2/5 + 1/2

-4/10 + 5/10

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= 1/10

Hope this helps!

6 0
3 years ago
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Step-by-step explanation:

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3 years ago
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Answer:

Step-by-step explanation:

The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5

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Step-by-step explanation:

84/100=42/50=21/25

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