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VladimirAG [237]
2 years ago
14

Write each decimal as a fraction or mixed number in simplest form.​

Mathematics
2 answers:
Andrews [41]2 years ago
7 0

Answer:

x = \frac{325}{999}

Step-by-step explanation:

Step-by-step explanation:

0.325325325...

1000x = 325.325...

- x        -      0.325..

999x = 325

x = 325/999

x = \frac{325}{999}

Gnesinka [82]2 years ago
5 0

Answer:

Answer:

0.{ \bar{325}} =  \frac{325}{999 }  \\

Step-by-step explanation:

1000x = { \boxed{325.325}} \\  - x = { \boxed{0.325325}}

if we subtract:

= 999x = 324.999675

divide by 999:

x =  \frac{324.999675}{999}  \\

round off mumerator to zero decimal place:

x =  \frac{325}{999}

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2 years ago
How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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7 0
1 year ago
Select all the correct expressions in the table which expressions are equivalent to the given complex number 45+2i
aksik [14]

Answer:

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Step-by-step explanation:

6 0
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Answer:

adjacent, supplementary

Step-by-step explanation:

"Two lines intersecting in a right angle with a square indicating a right angle in quadrant one and a ray splitting quadrant two with a two labeling the left angle and one labeling the angle on the right"

Based on your description, it seems like they are right next to each other and equal 180 (straight line)

Angles directly next to each other = adjacent

Angles that add up to 180 = supplementary

This indicates adjacent and supplementary angles

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2 years ago
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Step-by-step explanation:

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