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ziro4ka [17]
2 years ago
10

How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.

Mathematics
1 answer:
bixtya [17]2 years ago
3 0

Answer:

x = 0.1515...

100 x = 15.1515...

100 x - x = 15.1515... - 0.1515...

99 x = 15

x = 15 / 99 = 3 ∙ 5 / 3 ∙ 33 = 5 / 33

0.1515... = 5 / 33

Step-by-step explanation:

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Can you explain step by step for #15 and #16 I have a test on this tomorrow
RUDIKE [14]

Answer:

15.

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

x + y = 50.

There are  0.2x ml of salt in x ml of 20% saline and 0.1y ml of salt in 10% saline. There are 0.12\cdot 50=6 ml of salt in 50 ml of 12% saline. Thus,

0.2x+0.1y=6

15. We get the system of two equations:

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. Solve this system. From the first equation:

x=50-y

Substitute it into the second equation:

0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10

7 0
3 years ago
What is the gcf of 45 and 75
kherson [118]

Hi,

Answer: The Greatest Common Factor (GCF) of 45 and 75 is 3 and 5.

<u>My work:</u> To find the Greatest Common Factor (GCF) Divide and simplify both numbers until you find your match or your GCF.

I Hope I Helped!

5 0
3 years ago
Read 2 more answers
Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.
ziro4ka [17]
Hello :
the line has same slope : y=3x       3 is the slope
<span> the point-slope form is : 
y-(-12) = 3(x-2)
y+12 = 3(x-2)</span>
8 0
3 years ago
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Why is it necessary to check that n modifyingabove p with caret greater than or equals 5np≥5 and n modifyingabove q with caret g
Nookie1986 [14]

Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if np \ge 5 and nq \ge 5 then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.

side note: q = 1-p is the complement of probability p

4 0
3 years ago
[ Cuiu be made.
shutvik [7]

Answer:

24/36 = 12 x 2/12 x 3 = 2/3.

Step-by-step explanation:

4 0
3 years ago
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