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Sloan [31]
3 years ago
6

Mark and Hayden won a raffle and decide to split the money using the ratio 9:8. If Hayden received $64, which of the following w

as the total amount of money that Mark and Hayden won?
$72
$80
$136
$170
Mathematics
1 answer:
Ket [755]3 years ago
3 0
I believe the answer is $72
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HELP PLEASE!! I DONT UNDERSTAND!!!!!!!!!! THANKS SO MUCH
8090 [49]

Hello, please consider the following.

We will multiply the numerator and denominator by

4+\sqrt{6x}

to get rid of the root in the denominator.

First of all, we cannot divide by 0, right? So, we need to make sure that the denominator is different from 0.

4-\sqrt{6x} =0\sqrt{6x}=4\\\\\text{Take the square}\\\\6x=4^2=16\\\\x=\dfrac{16}{6}=\dfrac{8}{3}

We need to take any x real number different from 8/3 then and simplify the expression.

Let's do it!

\begin{aligned}\dfrac{4}{4-\sqrt{6x}}&=\dfrac{4(4+\sqrt{6x})}{(4+\sqrt{6x})(4-\sqrt{6x})}\\\\&=\dfrac{4(4+\sqrt{6x})}{(4^2-\sqrt{6x}^2)}\\\\&=\dfrac{4(4+\sqrt{6x})}{(16-6x)}\\\\&=\dfrac{2(4+\sqrt{6x})}{(8-3x)}\\\\&\large \boxed{=\dfrac{8+2\sqrt{6x}}{8-3x}}\end{aligned}

Thank you

8 0
3 years ago
1. Solve the equation. 2. Check your solution. k÷3=21
Sedaia [141]

Answer:

k = 63

Step-by-step explanation:

3 x 21 = 63

8 0
3 years ago
What equation represents the relationship between p and q shown in the table
mash [69]

q = 10p because all of them are multiplied by ten

6 0
3 years ago
Describe the vertical line test.
SpyIntel [72]

Answer:

The vertical line test is used to determine whether a graph line is a FUNCTION

when there is a line on a graph and you want to know if it is a function. put a straight line through it, up and down, and if it only passes through ONE POINT then it is a function if it touches the graph more than once than it is not.i

Step-by-step explanation:

6 0
3 years ago
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The low temperatures for a week in winter were -2° F, -15° F, -7° F, 1° F, -4° F, 5° F, 8° F. What was the average low
Novay_Z [31]

Answer: -2 F

Step-by-step explanation:

To find the average, or <em>mean, </em>of a data set, you must first combine all of the values in the set. Since some of these values are negative, it seems more difficult to solve. But it isn't. To find the mean of any data sets, you can find the absolute value of each numerical value. If you combine these regularly, it would be -15, but that is incorrect. The answer is -2 because some of the values may be negative, but you can find the answer easily. Just remember: To find the mean of data sets with negative values, you can find their absolute values, and solve from there. If this does not work for you, then find another solution. But the correct answer is -2 F.

3 0
3 years ago
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