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iren2701 [21]
3 years ago
9

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bo

ttles could 10 such machines produce in 4 minutes?(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800
Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer: B

Step-by-step explanation:

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. Since the machines are identical and running at the same constant rate, it means each of them as the same rate. The rate of each machine can produce would be determined by dividing the combined unit rate by 6. It becomes

270/6 = 45 bottles per minutes

The rate for 10 machines running at the same constant rate would be

10 × 45 = 450 bottles per minutes.

If the 10 machines produce 450 bottles per minutes, then,

In 4 minutes, the 10 machines will produce 4 × 450 = 1800 bottles

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bagirrra123 [75]
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Line 2 to 3: Commutative Property of *Addition*, because all that changed was the order of the things being added.

All that changed in either step was the ordering of the things being multiplied or added. That’s the commutative property.
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2 years ago
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An angle measuring 3.5 radians is equal to which of the angle measures given below? Check all that apply.
Tresset [83]
The answers are B & C.

First thing to d o is convert Radians to Degrees. 1 radians = 180/pi . So, 3.5 radians times 180 divided by \pi = 200.5352283 or which could be rounded of to 200.54. Thus, confirming choice letter C and negating choices A and D.

Next thing to check is choice letter B. To do this, we need to convert the decimal value of the computed answer which is 0.5352283 to minutes and seconds by the following conversion factors.

1 degree = 60 mins
1 minute = 60 seconds

Now, we multiply 0.5352283 by 60 to get 32.113698 minutes, thus 32 minutes
then multiply 0.113698 by 60 to get 6.82188 ~ 7 seconds.

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3 years ago
Erica uses 9 gallons of gas to drive 198 miles. How many miles can he drive using 1 gallon of gas?
lara31 [8.8K]

Answer:

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3 years ago
Find the area of a regular decagon with an apothem of 5 meters and a side length of3.25 meter. Round to the nearest tenth
topjm [15]
We know that

<span>The regular decagon can be divided into 10 congruent triangles
</span>so
area regular decagon=10*[area of one triangle]

area triangle=b*h/2
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Area=81.3 m²

the answer is
81.3 m²
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3 years ago
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