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attashe74 [19]
3 years ago
8

Working together, machine J, machine K, and machine L can complete a job in 12 minutes. Working alone, machine J can complete a

job in 20 minutes. Machine J worked alone for a given amount of time. Then, machines K and L worked together, and with no other machine, for the same amount of time. How long the total time required?
Mathematics
1 answer:
blondinia [14]3 years ago
3 0

Answer:

Total required time is 24 minutes.

Step-by-step explanation:

It is given that working together, machine J, machine K, and machine L can complete a job in 12 minutes.

Part of job completed by all machines together in one minute is

One minute work of all = \frac{1}{12}

Working alone, machine J can complete a job in 20 minutes.

Part of job completed by machine J in one minute = \frac{1}{20}

Part of job completed by machine K and L together in one minute is

One minute work of K and L together = \frac{1}{12}-\frac{1}{20}=\frac{1}{30}

It is given that Machine J worked alone for a given amount of time. Then, machines K and L worked together, and with no other machine, for the same amount of time.

Let the given amount of time be x.

\frac{1}{20}x+\frac{1}{30}x=1

\frac{1}{12}x=1

Multiply both sides by 12.

x=12

Total required time is

2x=24

Therefore total required time is 24 minutes.

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Sloan [31]

Answer:

8√5 units.

Step-by-step explanation:

See the diagram in the coordinate plane attached.

A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.

The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).

Therefore, side length of the rhombus will be  

\sqrt{(- 1 - 3)^{2} + (- 1 - (- 3))^{2}} = \sqrt{20} = 2\sqrt{5} units.

So, the perimeter of the rhombus will be (4 × 2√5) units  = 8√5 units. (Answer)

The distance between two points (x_{1},y_{1}) and (x_{2},y_{2}) on a coordinate plane is given by  

\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}

5 0
3 years ago
Solve (get the variable by itself): m / (-4) = -2.95
kenny6666 [7]
M / -4 = -2.95
As you can see, the variable m is currently in a fraction with a denominator of -4. So to get ride of the fraction and find m and its value, you should multiply both sides by the denominator of the fraction, which is in our case -4.
So m / -4 = -2.95
(m/-4) * -4 = -2.95 * -4
m = 11.8

You can recheck your answer (very important):
m / -4 = 11.8 / -4 = -2.95
The answer has been approved.

Hope this Helps! :)
7 0
3 years ago
Consider ΔDEF with centroid at point G and median EH. What is GH, if EG=3x+4 and GH=x+10?​
sesenic [268]

Answer:

gh = x+9

Step-by-step explanation:

8 0
2 years ago
The table shows the weights of a sample of packages carried by an air freight company last month. Find the mean deviation for th
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Answer:

1.52

Step-by-step explanation:

\frac{5 + 9 + 5 + 6 + 8 }{5} = \frac{33}{5} = 6.6

distance from 6.6

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9,  2.4

5,  1.6

6,   .6

8,  1.4

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3 0
3 years ago
Dave has $15 to
PSYCHO15rus [73]
Hello there! Given Dave only has $15 and the book is $8, we can assume he already paid for the book:

$15 - $8 = $7

Because Dave has $7 left, we can use the following inequality to show that he can spend up to $7 at maximum on both cards:

c = $7

Given Dave buys 2 cards, we can divide 7 by 2 to find how much Dave spends on each card:

7 divided by 2 gives us 3.50

Hence, Dave can spend $3.50 on each card.

Hope this helps!
6 0
1 year ago
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