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Gwar [14]
3 years ago
11

Printer A prints 36 pages every 1.5 minutes. Printer b prints 114 pages every 3 minutes printer c prints 115 pages every 5 minut

es which printer prints the fastest?
Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

Printer B prints faster

<em><u>Solution:</u></em>

<em><u>Given that Printer A prints 36 pages every 1.5 minutes</u></em>

Let "x" be the number of pages printed in 1 minute

Therefore,

1.5 minutes = 36 pages

1 minute = x pages

By cross-multiplication,

1.5 \times x = 36 \times 1\\\\x = \frac{36}{1.5} = 24

Thus unit rate of Printer A is: In 1 minute, Printer A can print 24 pages

<em><u>Printer B prints 114 pages every 3 minutes</u></em>

Similarly,

3 minutes = 114 pages

1 minute = x pages

This forms a proportion. Therefore by crossmultiplying we get,

3 \times x = 114 \times 1\\\\x = \frac{114}{3} = 38

Thus unit rate of Printer B is: In 1 minute, Printer B can print 38 pages

<em><u>Printer C prints 115 pages every 5 minutes</u></em>

Similarly,

5 minutes = 115 pages

1 minute = x pages

This forms a proportion. Therefore by crossmultiplying we get,

5 \times x = 1 \times 115\\\\x = \frac{115}{5} = 23

Thus unit rate of Printer C is: In 1 minute, Printer C can print 23 pages

unit rate of printer B > unit rate of printer A > unit rate of printer C

On comparing the unit rate of Printer A, B, C we see that, printer B prints faster

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The YMCA lap pool is a right rectangular prism 36.8\, \text{m}36.8m36, point, 8, start text, m, end text long by 20 \,\text{m}20
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Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the following details about the YMCA lap pool:

  • The volume of the pool = 1472m³
  • The length of the pool = 36.8m
  • The width of the pool = 20 m

Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,

The volume of the pool = Length × width × depth

1472m³ = 36.8m × 20 m × depth of the pool

Depth of the pool = (1472m³ ) / (36.8m × 20m)

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Hence, the depth of the YMCA lap pool is 2 meters.

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3 0
1 year ago
David earns $8.59 an hour. His benefits package is equal to 18 percent of his hourly wages. When you include the value of his be
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A]
Amount of earning per hour=$8.59
Amount of David's benefits=18/100×8.59=:1.5462
Amount that David earn per hour including benefits is given by:
8.59+1.5462=$10.1362

b]Amount that David earns in 35 hour a week will be:
(amount per hour)*(number of hours)
=8.59*35
=$$300.65

C] amount earned by David including benefits will be:
(amount earned in 35 hours)+(total benefits in 35 hours)
total benefits=1.5462×35=$54.117
thus total amount will be:
300.65+54.117
=$354.767

4 0
3 years ago
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