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4 years ago

Simplify and divide the following radical expression: 7/ 8√7

Mathematics

1 answer:

MrRa [10]4 years ago

7 0

The answer is 7 outside the square root. Another 7 will be inside the square root. Then over 8

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The difference between two numbers is 2 and their product is 224. What are the numbers?

Sati [7]

Let $x,y$ be the two numbers. We have two pieces of information:

$x-y=2$ (the difference between the two numbers is 2)

$xy=224$ (their product is 224)

From the first equation, we can deduce $x=y+2$

If we plug this expression in the second equation, we have

$xy = (y+2)y = 224 \iff y^2+2y-224 =0$

If you solve this equation with the usual quadratic formula you get the solutions

$y=-16,\quad y=14$

So, you have the following couple of solutions, recalling that x is 2 more than y:

$\begin{cases} x = -14\\y=-16\end{cases},\quad\begin{cases} x = 16\\y=14\end{cases}$

4 0

4 years ago

Which of the following companies offers the greatest total employment compensation? Company A Company B Company C Company D Gros

san4es73 [151]

we know that

To find the company with the greatest total employee compensation package, adds each company's gross pay, paid insurance, and paid time off, then subtract the job expenses on the sum

Find the total employee compensation package for each company

Step $1$

Find the total employee compensation package for company A

$total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses$

$total\ employee\ compensation=37,600+2,800+3,100-1,200\\ total\ employee\ compensation=42,300\ dollars$

Step $2$

Find the total employee compensation package for company B

$total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses$

$total\ employee\ compensation=36,800+2,400+3,600-600\\ total\ employee\ compensation=42,200\ dollars$

Step $3$

Find the total employee compensation package for company C

$total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses$

$total\ employee\ compensation=38,100+2,100+2,900-300\\ total\ employee\ compensation=42,800\ dollars$

Step $4$

Find the total employee compensation package for company D

$total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses$

$total\ employee\ compensation=39,000+1,800+2,500-800\\ total\ employee\ compensation=42,500\ dollars$

therefore

the answer is

the company with the greatest total employee compensation package is the company C

8 0

3 years ago

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What is the skipping sequence of 90,92,__,__,99,__

DaniilM [7]

that is not possible cause the first 2 indicate that the pattern is counting by 2s

5 0

3 years ago

Which of the following options have the same value as 72% of 50

fenix001 [56]

Answer:

c and d are the correct answers

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3 years ago

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What is the inerquartile of the data set [40,48,62,40,25,50,20 30

Zanzabum

You just find the quartiles which are 62 and 50 the mines them which equals 12.

5 0

4 years ago

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