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VARVARA [1.3K]
3 years ago
7

What is x - 5y = 13 and 9y - x = -17 using elimination method

Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0
X +(-5y)=  13
-x+  9y =(-17)
0+<u>4y</u>=<u>-4</u>
    4    4
y=1
x+-5(1)=13
x-5=13
 +5 <u>+5
</u>  x=18
  y=1
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Four friends shared 1/2 of one carton of orange juice and 1/4 of another carton of apple juice. What fraction of each carton of
Natalka [10]

Answer:

\dfrac{1}{16}

\dfrac{1}{32}

\dfrac{3}{32}

Step-by-step explanation:

So in the first carton of orange juice 4 friends shared the juice.

This can be shown as:

\dfrac{(\dfrac{1}{2})}{4}

\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{16}

The 4 friends got 1/16 of the carton each in the first carton of OJ.

Next for the second carton, it can be shown as:

\dfrac{(\dfrac{1}{4})}{4}

\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{32}

The 4 friends got 1/32 of the carton each in the first carton of OJ.

Now to see how much they got in total each, we simply add 1/16 to 1/32

Total OJ each = \dfrac{1}{16}+\dfrac{1}{32}

Total OJ each = \dfrac{3}{32}

Each friend got a total of \dfrac{3}{32} each from both cartons of OJ.

3 0
3 years ago
Item 19 The scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. What i
Harlamova29_29 [7]

Answer:

1857 miles.

Step-by-step explanation:

We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.

We will use proportions to solve our given problem.

\frac{\text{Actual distance}}{\text{Map distance}}=\frac{30\text{ miles}}{1\text{ cm}}

Upon substituting map distance between San Francisco and Chicago, we will get:

\frac{\text{Actual distance}}{61.9\text{ cm}}=\frac{30\text{ miles}}{1\text{ cm}}

\frac{\text{Actual distance}}{61.9\text{ cm}}\cdot 61.9\text{ cm}=\frac{30\text{ miles}}{1\text{ cm}}\cdot 61.9\text{ cm}

\text{Actual distance}=30\text{ miles}\cdot 61.9

\text{Actual distance}=1857\text{ miles}

Therefore, the actual distance between San Francisco and Chicago is 1857 miles.

4 0
3 years ago
Brian works in the lab and feels an empty cylindrical flask with 200 cubic centimeters of liquid. The flask has a radius of 3 cm
Fittoniya [83]

Answer:

<h2>49.49%</h2>

Step-by-step explanation:

volume of liquid in the flask= 200 cm^3

radius of the flask = 3 cm

height of the  flask= 12 cm

volume of flask is given by =

putting values and solving we get =396 cm^3

therefore the volume unfilled= 396-200= 196cm^3

therefore % of volume unfilled= 196/396*100= 49.49%

6 0
3 years ago
Why is no one helping or answering ANY of my questions asked so far? :( I thought it said questions are normally answered with-i
vodka [1.7K]
Questions are USUALLY answered within 10 minutes.

Therefore, you're questions might be complicated, hard, or incomplete.

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3 0
3 years ago
Do not use spaces in your answer. Solve for x. -5x + 12x - 8x = -24 x = ___ a0
const2013 [10]

Answer:

\Huge \boxed{x=24}

Step-by-step explanation:

-5x + 12x - 8x = -24

Combine all like terms.

(-5+ 12- 8)x = -24

-x=-24

Multiply both sides by -1.

x=24

7 0
3 years ago
Read 2 more answers
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