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attashe74 [19]
3 years ago
11

Solve the equation and enter the value of x below. 6(x + 18) = 9x x = _____

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer:

6(x + 18) = 9x x = __36__

Step-by-step explanation:

We have the following equation

6(x + 18) = 9x

To solve the equation follow the next steps

1. Apply the distributive property

6x + 6*18 = 9x

6x + 108 = 9x

2. Subtract 6x on both sides of the equation

6x -6x +108 = 9x-6x

108 = 3x

3x= 108

3. Divide both sides of the equation by 3

\frac{3}{3}x= \frac{108}{3}

x= 36

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Montoya Construction needs to borrow $375,000 to build a road to install utilities in a small subdivision. It borrows the funds
MissTica

Step 1

Given;

\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}

Required; To find the difference in interest between the two periods.

Step 2

State the formula for simple interest

A=P(1+rt)

Step 3

Find the interest when the rate is 8%

\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}

Therefore the interest is given as;

A-P=382397.26-375000=\text{\$}7397.26

Step 4

Find the interest in 1980 with a 20% rate

\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}

The interest is given as;

A-p=393493.15-375000=\text{\$}18493.15\text{ }

Step 5

Find the difference in interest between the two rates.

\text{\$}18493.15-\text{\$}7397.26=\text{\$}11095.89

Hence, the difference in interest between the two rates = $11095.89

4 0
1 year ago
What is the answer to the question 25% of what is 21?
g100num [7]
If we call the number "x" then:
x*25%=21
x*25/100=21
x=21*4
x=84

Hope this helps. :)
8 0
3 years ago
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I need help on these two questions
Ray Of Light [21]

Answer:

56

Step-by-step explanation:

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3 years ago
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The mean of 5 numbers is ten I add one now the mean is 11 which number did I add?
Leno4ka [110]

Answer:

you added 6

Step-by-step explanation:

how the number order goes.

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3 years ago
triangle abc is rotated 90° clockwise about the origin. what is the rules that we can use to find the vertices location of the i
yuradex [85]

Answer:

The answer is when we rotating something 90 degrees clockwise about the orgin

(x,y) goes to (y,-x)

5 0
3 years ago
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