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nekit [7.7K]
3 years ago
10

Bob can stamp all envelopes in the office in 5 hours and John can do the same job in 7 hours. How long will it take two of them

to do this job?
Mathematics
1 answer:
Delvig [45]3 years ago
6 0

Answer:

<u>Bob and John can finish the job together in approximately 2.92 hours or 2 hours and 55 minutes</u>

Step-by-step explanation:

Let's recall that the formula for solving this kind of problems is:

T/A + T/B = 1, where T = time working together, A = the time for person A working alone, and B = the time for person B working alone.

Now, replacing with the values we have:

T/5 + T/7 = 1

35 is the Lowest Common Multiple of 5 and 7

5T + 7T = 35

12T = 35

T = 35/12

T = 2.92 (Rounding to the next hundredth) and 0.92 * 60 ≅ 55

T ≅ 2.92 hours (Around 2 two hours and 55 minutes)

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Elijah brought a total of 16 pounds of peanuts and cashew nuts and paid $49.50 if peanuts cost $2.75 per pound and cashews nuts
maria [59]

Answer:

The number of pounds of cashew is 11

Step-by-step explanation:

Let P represent the peanut

Let C represent the cashew nut.

From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:

P + C = 16 (1)

The total cost = $49.50

Cost per peanut = $2.75

Cost per cashew = $3.25

The above can be represented as:

49.50 = 2.75P + 3.25C. (2)

From equation 1,

P + C = 16

P = 16 — C

Substitute the value of P into equation 2:

49.50 = 2.75P + 3.25C.

49.50 = 2.75(16 — C) + 3.25C

49.50 = 44 — 2.75C + 3.25C

49.50 = 44 + 0.5C

Collect like terms

49.50 — 44 = 0.5C

5.5 = 0.5C

Divide both side by 0.5

C = 5.5/0.5

C = 11

Therefore, the number of pounds of cashew is 11

8 0
3 years ago
Mary has 3 red marbles and 7 yellow marbles in a bag. What is the probability of she draw 3 marbles at the same time, all of the
LenaWriter [7]
The probability would be 3/10 or 30%
3 0
3 years ago
John takes out a personal loan for $5,000 at an annual interest rate 7.5%, compounded monthly. He plans to pay off the loan (inc
myrzilka [38]

Answer:

155.53

Step-by-step explanation:

I know where this question is from hahaha

6 0
3 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. C = 71°, a = 27, c = 26
guajiro [1.7K]

We have

SinC/ c  = Sin A / a

Sin 71/ 26 = Sin A / 27

Sin A  = 27 Sin 71 /  26  = about .982

So°

Sin-1(.982)  = A  = 79. 08°

Then angle B = 180 - 71 - 79.08 = 29.92°

And b is given by

b/sin29.92  = 26/sin 71

b = 26sin29.92/sin71 =  about 13.72

But A could also be an obtuse angle = 180 - 79.08 =  100.92°

So we have

B = 180 - 71 - 100.92 = 8.08°

And we have

b / sin 8.08  = 26/sin71

b = 26sin8.08/sin 71 = 3.865

8 0
3 years ago
Evaluate the integral i. i = int_0^(pi/2) ( 3 (sin(t))^2 cos(t)i + 6 sin(t)(cos(t))^5j + 4 sin(t)cos(t)k )dt
marishachu [46]
See, please, the suggested option.
If it possible, check it in other sources.

3 0
3 years ago
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