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denpristay [2]
3 years ago
8

the dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar

ea of the resulting recatangle is 126 in2. What was the original side length of the square

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
Let
x--------> original length side of a square

we know that
area rectangle=length*width
area=126 in²
length=(x+8)
width=(x-3)
so
126=(x+8)*(x-3)------> x²-3x+8x-24=126----> x²+5x-150=0

using  a graph tool------> to resolve the second order equation
see the attached figure
the solution is
x=10 in

the answer is
the original length side of a square is 10 in

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Answer right with proof please.
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Answer:

the answer is a

Step-by-step explanation:

you times the 1/6 by 2 to get 2/12 then 3/4 by 3 to get 9/12 so all your fractions have the same denominator and the do the rest of the math with the new fractions and the same whole numbers that went with them. hope this helps

7 0
3 years ago
Read 2 more answers
Ralph Chase plans to sell a piece of property for $155000. He
Mrrafil [7]

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:

a + b = 155000    (1)

Also:

0.1a + 0.08b = 14100    (2)

From both equations:

a = 85000, b = 70000

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

Find out more on equation at: brainly.com/question/2972832

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7 0
2 years ago
Brand X costs $2.70 for 10 ounces. Brand Y costs 4 cents more per ounces. What is the cost of 11 ounces of brand Y?
Ksju [112]
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8 0
3 years ago
A lake contain 900 gallons of water. The city is pumping water into the lake at a rate of 30 gallons per minute. Which expressio
boyakko [2]

Answer:

900 + 12 x 30

Step-by-step explanation:

4 0
3 years ago
Will someone plz help me this us due and I am confused
mihalych1998 [28]

Hey there! I would love to help you.

Question 1: In both questions, we have to find the repeating decimal as a fraction. There is a specific way to find the fraction given a repeated decimal. In our equation, our variable x will represent the fraction.

x=0.272727....

If you know how too solve systems of equations by elimination, we need to to do something similar to eliminate all of the repeating parts so we can solve for x.

We need to make this a number greater than zero but line up the digits so that we can eliminate every single repeating digit.

To do this, we move the digit as many times to the right as there are digits that repeat. In this case, there are two repeating digits, so we multiply the whole equation by 100.

100x=27.2727...

Now, we can subtract the first equation from the second  so that the repeating parts are removed and we can then solve for x and find our fraction.

99x=27

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To make this into a repeating decimal, we just divide the numerator by the denominator.

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Question 2: In this case, we have two repeating decimals. Let's solve for them both. Because we have a digit after the decimal that does not repeat, we need to move it before we subtract.

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Now we subtract...

990x=405

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x=9/22

Now we do the other one.

10x=6.81818181...

We multiply by 100 to line up the decimals for subtraction.

1000x=681.8181....

We subtract...

990x=675

x=15/22

Now, we add our fractions.

24/22 or 1 2/22

Now we turn it back into a repeating.

24/22= 1.09090909...

For this question, select the second option.

I hope this helps!

7 0
3 years ago
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