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aalyn [17]
3 years ago
7

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

Mathematics
1 answer:
Tatiana [17]3 years ago
4 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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An ant population starts at 1200 for a certain colony. As each month goes by in the winter, 6.5% of the population dies off. How
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Answer:

There will be 916 ants alive after 4 months.

Step-by-step explanation:

Step 1

Let's change the percentage to a decimal by dividing by a 100.

6.5% / 100 = .065

Step 2

So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.

1200 * .065 = 78

This means that after the first month, 1200 - 78 = 1122 ants will be alive.

Step 3

Now for the second month: 1122 * .065 = 72.93 (rounded to 73)

1122 - 73 = 1049 ants will be alive

Step 4

For the third month 1049 * .065 = 68.185 (rounded to 68)

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Step 5

For the fourth month 981 * .065 = 63.765 (rounded to 64)

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Hope this helps!

5 0
3 years ago
Read 2 more answers
What is the value of the expression?
Blababa [14]

Answer:

- \frac{9}{10}

Step-by-step explanation:

Step 1: Add the numerator fractions.

2/5 + 3/10

Here we have to find LCD, the LCD of 5 and 10 is 10

                                         (2*2) + 3         4 + 3

Therefore,  2/5 + 3/10 = ---------------  = ------------------

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= 7/10

Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get


 7/10

=  ----------

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If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.

The reciprocal of -7/9 is -9/7

Step 3: Now multiply 13/10 and -9/7

= (7/10) x (-9/7)

= -9/10

=-9/10

The answer is  -\frac{9}{10}

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3 years ago
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Answer:

Step-by-step explanation:

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No it is actually a horizontal shift of 2 units to the right. 
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4 years ago
Are the graphs of the lines in the pair parallel? Explain.
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