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KiRa [710]
2 years ago
15

A company has two large computers. The slower computer can send all the company's email in 60 minutes. The faster computer can c

omplete the same job in 40 minutes. If both computers are working together, how long will it take them to do the job? Do not do any rounding.
Mathematics
1 answer:
Lelu [443]2 years ago
4 0

Answer:

If both computers are working together, it will take 24 minutes to do the job

Step-by-step explanation:

It is given that,

There are two computers.The slower computer can send all the company's email in 60 minutes.

The faster computer can complete the same job in 40 minutes

<u>To find the LCM of 40 and 60</u>

LCM (40, 60) = 120

<u>To find efficiency of 2 computers</u>

Let x be the efficiency of faster computer and y be the efficiency of faster computer

x = 120/40 = 3

y = 120/60 = 2

then, x + y = 3 + 2 = 5

Therefore efficiency of both the computer work together = x + y =5

<u>To find the time taken to work both the computer together</u>

time = 120/5 = 24 minutes

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Copy and complete each table.
LUCKY_DIMON [66]

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

T_{2}-T_{1} = -3 - 2

           = -5

Similarly, T_{3}-T_{2}=-8-(-3)

                            = -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, T_{n} = a + (n - 1)d  [n = input value]

T_{n} = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

T_{5}=2+(5-1)(-5)

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7

3 0
2 years ago
A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er
Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

\hat{p} = 89\% = 0.89

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting the values, we get:

M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016

Thus, the margin of error for the survey is 0.016

3 0
2 years ago
Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x
konstantin123 [22]
First, she distributed 3*x=3x , 3*4=12, 5*x= 5x, 5* -4= -20
Which gave her 3x+12+2=2+5x-20
Then, she combined like terms 12+2=14 and 2+ -20 = -18
Which gave her 3x+14=5x-18
Then, she subtracted 3x from both sided 
Which gave her 14=2x-18
Then, she added 18 to both sides
Which gave her 32=2x
And finally sh edivided 32 by 2 and got 16=x
hope this helps if you have any questions please pm me :)
5 0
2 years ago
Read 2 more answers
Find the perimeter of $\triangle CDE$ . Round your answer to the nearest hundredth. A trapezoid A B C D is plotted on a coordina
guapka [62]

Answer:

The answer is below

Step-by-step explanation:

We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:

Perimeter of tiangle CDE = |CD| + |DE| + |CE|

Given that C(4, -1), D(4, -5), E(2, -3).

The distance between two points X(x_1,y_1)\ and\ Y(x_2,y_2) is given as:

|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Therefore the lengths of the triangle are:

|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units

Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units

8 0
2 years ago
If p and q are nonzero integers, which pair of points must lie in the same quadrant?
Tems11 [23]
Hello there.
<span>
If p and q are nonzero integers, which pair of points must lie in the same quadrant?
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<span>B. (p, q) and (2p, 2q)
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8 0
2 years ago
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