Solve the proportion 2x+1/6 = 7/9

Mathematics

1 answer:

Paul [167]3 years ago

8 0

Answer: x=11/36

Step-by-step explanation:

Step One-Subtract 1/6 from both sides.

2x+1/6-1/6=7/9-1/6

2x=11/18

Step Two-Divide both sides by 2.

2x/2=11/18/2

x=11/36.

My math might not be correct, sorry if it is. In addition, my explanation is a bit confusing, so sorry about that too.

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Mark buys a fresh pair of Walmart shoes that cost $35.99 plus 5.5% tax. How much did he pay?

elena55 [62]

Answer:

$37.97

Step-by-step explanation:

The price of the shoes before tax is 100% of the price of the shoes.

Then the tax adds 5.5% of the price of the shoes to the price of the shoes.

He ends up paying 100% + 5.5% of the price of the shoes.

100% + 5.5% = 105.5%

Now we find 105.5% of $35.99.

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3 years ago

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solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+

Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

$\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.$

Write the augmented matrix for the system of equations

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)$

Find the reduced row-echelon form of the augmented matrix for the system of equations:

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)$