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Luden [163]
3 years ago
14

A Hallway measuring 90 feet x 7 feet requires 1/2 fluid ounce cleaning solution square foot. How much cleaning solution is requi

red to clean the hallway?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0
90 * 7 = 630 ft^2
630 * (1/2) = 315 fl oz
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a girl wants to count the steps of a moving escalator which is going up. if she is going up on it, she counts 60 steps. if she i
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Let

x--------> the speed of the girl in step

y--------> the speed of the escalator in step

d------> the distance between ground and floor.

we know that

speed=\frac{distance}{time} \\ \\ time=\frac{distance}{speed}

when the girl is going up on escalator

x-y=\frac{d}{60} ----> equation 1

when the girl is going down on escalator

x+y=\frac{d}{90} -------> equation 2

Adds equation 1 and equation 2

2x=\frac{d}{60} +\frac{d}{90} \\ \\ 2x=\frac{5}{180} d

x=\frac{5}{360}d --------> equation 3

Time to climb (in step) with y=0 (escalator standing still)

x*t=d\\\\ t=\frac{d}{x} -----> equation 4

Substitute equation 3 in equation 4

t=\frac{d}{\frac{5d}{360}}  \\ \\ t=\frac{360}{5} \\ \\ t=72 steps

therefore

the answer is

72 steps

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Write an equation of a line in standard form. (2,7)=-4
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A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 p
Alona [7]

Answer:

250 minutes of calling will cost same using both plans.

$53

Step-by-step explanation:

Please consider the complete question.

A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 plus an additional $0.14 of each minute of calls.  For what amount of calling do the two plans cost the same?  What is the cost when the two plans cost the same?

Let x represent the number of call minutes.

The total cost of calling for x minutes using plan A would be cost of x minutes plus fixed charge that is 0.12x+23.

The total cost of calling for x minutes using plan B would be cost of x minutes plus fixed charge that is 0.14x+18.

To find the number of minutes for which both plans will have same cost, we will equate total cost of x minutes for both plans and solve for x.

0.14x+18=0.12x+23

0.14x-0.12x+18=0.12x-0.12x+23

0.02x+18=23

0.02x+18-18=23-18

0.02x=5

\frac{0.02x}{0.02}=\frac{5}{0.02}

x=250

Therefore, calling for 250 minutes will cost same using both plans.

Upon substituting x=250 in expression 0.14x+18, we will get:

0.14(250)+18=35+18=53

Therefore, the cost will be $53, when the two plans cost the same.

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