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Alekssandra [29.7K]
3 years ago
14

Find 4/7 divided by 7/8

Mathematics
1 answer:
Reika [66]3 years ago
8 0
If you divide a fraction by another fraction, this is equivalent to mupltiplying by its inverse:

so \frac{4}{7} divided by\frac{7}{8}

is equivalent to

\frac{4}{7} multiplied by by\frac{7}{8} 

which is


\frac{4}{7}* \frac{7}{8}= \frac{4*7}{7*8}= \frac{4}{8}= \frac{1}{2}

so the answer is \frac{1}{2} which is also 0.5


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When a linear function has a slope of 5, what is the "run" part of the slope?
alukav5142 [94]
Slope equals rise over the run
so if slope = 5 then the rise also equals 5 and the run is 1


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Which set of side lengths form a right triangle?
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I just took the test and the answer was D
50 in, 48 in, 14 in are the side lengths that form a right triangle
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A movie theater sold 4 adult tickets and 7 children's tickets for $83 on friday the next day the theater sold 5 adult tickets an
Sergio039 [100]

Answer: An adult ticket cost $12

A child ticket cost $5

Step-by-step explanation:

Let x represent the price for one adult ticket.

Let y represent the price for one child ticket.

A movie theater sold 4 adult tickets and 7 children's tickets for $83 on Friday. It means that

4x + 7y = 83 - - - - - - - - - - - -1

The next day the theater sold 5 adult tickets and 6 children tickets for $90. It means that

5x + 6y = 90 - - - - - - - - - - - -2

Multiplying equation 1 by 5 and equation 2 by 4, it becomes

20x + 35y = 415

20x + 24y = 360

Subtracting, it becomes

11y = 55

y = 55/11 = 5

Substituting y = 5 into equation 1, it becomes

4x + 7 × 5 = 83

4x + 35 = 83

4x = 83 - 35 = 48

x = 48/4 = 12

3 0
2 years ago
A recipe for quinoa calls 2 2/3 cups of milk. Conner wants to makes 4 batches of quinoa. How much milk does he needs
krek1111 [17]
10 2/3 cups of milk for 4 batches

8 0
3 years ago
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Heights of men have a bell-shaped distribution, with a mean of 176 cm and a standard deviation of 7 cm. Using the Empirical Rule
Vaselesa [24]

Answer:

a) 68% of the men fall between 169 cm and 183 cm of height.

b) 95% of the men will fall between 162 cm and 190 cm.

c) It is unusual for a man to be more than 197 cm tall.

Step-by-step explanation:

The 68-95-99.5 empirical rule can be used to solve this problem.

This values correspond to the percentage of data that falls within in a band around the mean with two, four and six standard deviations of width.

<em>a) What is the approximate percentage of men between 169 and 183 cm? </em>

To calculate this in an empirical way, we compare the values of this interval with the mean and the standard deviation and can be seen that this interval is one-standard deviation around the mean:

\mu-\sigma=176-7=169\\\mu+\sigma=176+7=183

Empirically, for bell-shaped distributions and approximately normal, it can be said that 68% of the men fall between 169 cm and 183 cm of height.

<em>b) Between which 2 heights would 95% of men fall?</em>

This corresponds to ±2 standard deviations off the mean.

\mu-2\sigma=176-2*7=162\\\\\mu+2\sigma=176+2*7=190

95% of the men will fall between 162 cm and 190 cm.

<em>c) Is it unusual for a man to be more than 197 cm tall?</em>

The number of standard deviations of distance from the mean is

n=(197-176)/7=3

The percentage that lies outside 3 sigmas is 0.5%, so only 0.25% is expected to be 197 cm.

It can be said that is unusual for a man to be more than 197 cm tall.

3 0
3 years ago
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