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VLD [36.1K]
3 years ago
7

On his first three tests, Alan scored 76, 89, and 92. What score must he get on his fourth test to have an average of 80 for all

four tests?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0
He must get 63 on his fourth test

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Owen was 34 1/2 inches tall on his second birthday he grew an average of 2 1 / 2 inches each year for the next 10 years then he
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Do 34 1/2 plus 2 1/2 times 10then do 11/2 into the mixed number 1 1/2 times 6 
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A piece of string is 42 meters long. It is cut into three pieces so that one piece is 15 meters longer than the other two, which
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To start this problem, we know that one of the three pieces that the string is cut into is 15 meters longer than the others. Subtract 15 from 42 to get 27.
Then, from there, you can cut that number (<em>divide</em>) by three to get the length of the two shorter strings. Simply add the 15 meters you didn't use yet to one of the pieces to find the longer string, and you have your lengths.

Hope this helps!
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3 years ago
Write the equation of the graphed circle.
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3 0
3 years ago
Solve the equation. Check for extraneous solutions. |x - 4| = 5x + 12<br><br> x = []
kykrilka [37]

The solution of the equation is x = -4/3.

<h3>What does it mean to solve an equation?</h3>

An equation represents equality of two or more mathematical expression.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have been given an equation as;

|x - 4| = 5x + 12

In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.

Case 1: original equation

|x - 4| = 5x + 12

x - 4 = 5x + 12

x - 5x = 12 + 4

-4x = 16

x = -4

Case 2: Opposite equation

|x - 4| = 5x + 12

x - 4 = - (5x + 12)

x - 4 = - 5x - 12

x + 5x = -12 + 4

6x = -8

x = -4/3

Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;

Check:

|x - 4| = 5x + 12

use x = -4

|-4 - 4| = 5(-4) + 12

| -8 | = -20 + 12

8 = -8              

Thus, it is Not a solution

Now,  |x - 4| = 5x + 12

use x =  -4/3

| -4/3 - 4| = 5( -4/3) + 12

|-16/3 | = -20/3 + 12

|-16/3 | = 16/3

16/3 = 16/3

Thus, it is the  Solution.

Learn more about solving equations here:

brainly.com/question/18015090

#SPJ1

5 0
2 years ago
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