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Dima020 [189]
3 years ago
15

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big orde

r in 22 hours. c How many hours would it take to fill the order if the number of working machines increased by factor of 4?
Mathematics
1 answer:
MariettaO [177]3 years ago
6 0

9514 1404 393

Answer:

  5.5 hours

Step-by-step explanation:

The presumption in these cases is that the rate of doing work is proportional to the number of machines. So, 4 times as many machines can do the work 4 times as fast. That is, the same job can be completed in 1/4 the time:

  (22 h)(1/4) = 22/4 h = 5.5 h

It would take 5.5 hours to fill the order.

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Modeling Exponential Growth and Decay In Exercises 119 and 120, Find the exponential function
Lubov Fominskaja [6]

Answer:

There is no exponential function passing through (1,1) and (5,5).

Step-by-step explanation:

We have the following exponential function

y = Ce^{kt}

The function passes through these two points:

(1,1): This means that when t = 1, y = 1

(5,5): This means that when t = 5, y = 5.

So

(1,1)

y = Ce^{kt}

Ce^{k} = 1

e^{k} = \frac{1}{C}

(5,5)

y = Ce^{kt}

5Ce^{k} = 1

Ce^{k} = \frac{1}{5}

From above, we have that:

e^{k} = \frac{1}{C}

C\frac{1}{C} = \frac{1}{5}

1 = \frac{1}{5}

1 cannot be equal to 1/5, so this is wrong.

This means that there is no exponential function passing through (1,1) and (5,5).

5 0
3 years ago
cody and his friends started playing a game at 6:30 p.m. it took them 37 minutes to finish the game at what time did they finish
Lelechka [254]
The answer is 7:17 because when you add them together it equals 7:17.
7 0
3 years ago
Read 2 more answers
Beth has already jogged 3 miles. She plans to jog less than 12 miles. Which inequality can be used to find the number of miles (
xenn [34]

Answer:

So we want to know how to write the inequality for Beth's jogging. The total number of miles Beth plans to jog cant go over 12, and she has already jogged for 3 miles, then she needs to jog for another m miles. This can be written mathematically like: 3 + m < 12. In other words: 3 miles + m miles Beth still plans to jog cant go over 12 miles.

Step-by-step explanation:

7 0
3 years ago
How to find the circumference of a circle with a rectangle inside and a perpendicular line?
viktelen [127]

Use the Pythagorean Theorem to find the diagonal of the rectangle.

The diagonal of the rectangle is the diameter of the circle.

Diameter (d) = 2 · radius (r)

Circumference (C) = 2· π · r → π · d


6 0
3 years ago
Find the amount of the annuity due. Round to the nearest cent.
Ber [7]
FVAD=515[((1+0.18/12)^(12*2)-1)/(0.18/12)]*(1+0.18/12)
FVAD=14967.46
5 0
2 years ago
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