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notsponge [240]
3 years ago
5

Mr. Young has a piece of rope. He uses 1/4 of it to tie some boxes together. He then uses 5/9 of the remainder to make a jump ro

pe for his daughter. After this, 120 centimeters are left. What is the length of rope Mr. Young used to tie the boxes together?
Mathematics
1 answer:
Kazeer [188]3 years ago
3 0
Divide 120 by 4 to get 1/9 of the rope: 30. Then multiply it by 9 to get the part after 1/4 was given away: 270. Now divide it by 3 to get 90 and lastly, multiply it by 4 to get a final answer of 360 centimeters. Hope this helps!
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The length of a rectangle is 2 yd longer than its width. if the perimeter of the rectangle is 24 yd , find its area.
lara31 [8.8K]
Width = x
Length = x +2
Perimeter = 24
Area = Width • Length = ?

Perimeter = 24 = 2(x +2) + 2(x)
= 2x + 4 + 2x
= 4x + 4
= 20 = 4x
= 5 = x

Width = x = 5, therefore Length = (5) + 2 = 7

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3 years ago
What is the slope of the line that passes through the points (-6,-4) and
AveGali [126]

Answer:

0

Step-by-step explanation:

Use slope intercept form: \frac{y_2-y_1}{x_2-x_1}

\frac{-4-(-4)}{-12-(-6)} = \frac{0}{-6} = 0

5 0
3 years ago
When Isaac commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 44 minutes and a s
mario62 [17]

Answer:

[34,54]

Step-by-step explanation:

-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.

Where:

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  • 99.7% is the 3rd standard deviation about the mean.

-Therefore. the middle 95% interval is calculated as:

CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]

Hence, the interval is [34,54]

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The largest number that 8c could be is -15

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