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marshall27 [118]
2 years ago
7

A 4/7 inch pipe is to be shortened to 3/8 inch. How much must be removed?

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
6 0

11/56 inches or 0.196 inches must be removed.

The pipe measures 4/7 inches but needs to be reduced to 3/8 inches.

In order to find out the inches to be removed, you must subtract the length that the pipe should be from the length that it currently is.

<em>Length to be removed = 4/7 - 3/8</em>

You need a common denominator so find the lowest common factor of both denominators:

= 56

In the shared fraction, multiply the numerator by the number you get when you divide 56 by the denominator.

= 56/7 = 8                                      8 x 4 = 32

= 56 / 8 = 7                                    7 x 3 = 21

= (32 - 21) / 56

= 11 / 56 inches

= 0.196 inches

In conclusion, 11/56 inches must be removed to get the pipe to 3/8 inches

<em>Find out more at brainly.com/question/4681199.</em>

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337 were senior citizens.

What is the system of equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Here, we

Let

x = the number of adult tickets sold

y = the number of senior tickets sold

483 people paid admission => a total of 483 tickets were sold and

x + y = 483

the total receipts were $7548

24x + 12y = 7548

by solving the system of equations

x + y = 483....(1)

24x + 12y = 7548....(2)

From equation (1), we get

x = 483-y....(3)

Now, we put the value of x in equation (2) and we get

24(483 - y) +12y = 7548

11592 - 24y + 12y = 7548

12y = 4044

y = 337

Now, we put the value of y in equation (1) and we get

x = 483 - 337

x = 146

Hence, 337 were senior citizens.

To learn more about the system of equations from the given link

brainly.com/question/25976025

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Alec's password consists of 1 letter and 4 digits. What is the probability of correctly guessing Alec's password?
valentinak56 [21]

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Step-by-step explanation:

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What is the percent of decrease from 110 to 77
Charra [1.4K]
If you want to easily find the solution you can use your calculator.
Just divide 77 by 110 and see the result.
77/110 = 0.7 = 7/10 = 70/100 = 70% 
100% - 70% = 30%

Explanation
110*x=77
x=77/110, but the answer is not a percent
So 77/110 = ?/100  => ?=77*100/110=70 => 70%
But since 70% does not represent a percentage decreasement, we need to subtract it from the 100% 
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4 years ago
Given z^3 = 3 + square root 3i which letter represents z
Marianna [84]

The expression that represents the value of z is \sqrt[3]{3 + i\sqrt 3 }

<h3>What are complex numbers?</h3>

Complex numbers are numbers that have real and imaginary parts

A complex number (n) is represented as:

n = a + bi

From the above expression, we have:

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Given that:

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Rewrite the above expression as:

z^3 = 3 + i\sqrt 3

Take the cube roots of both sides

z = \sqrt[3]{3 + i\sqrt 3 }

The letters are not given.

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