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Lelechka [254]
2 years ago
10

A shower has a flow rate of 2.3 gallons per minute. If a person takes an average of 6 showers per week and the average length of

a shower is 15 minutes, then how much water is used in a year?
Mathematics
2 answers:
shusha [124]2 years ago
8 0

Answer:

161,460 gallons are used in a year.

Step-by-step explanation:

1 shower- 2.3×15=34.5

Number of minutes spent in the shower in a week- 15×6=90

Gallons used per week- 34.5×90=3,105

There is 52 weeks in a year.

52×3,105=<u>161,460</u>

sveticcg [70]2 years ago
4 0
Answer is 10,764 gallons.

2.3 x 15 x 6 x 52 = 10,764
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sammy [17]
8 is in the tenth position.

In order to round up, the number behind it (in this case. 9) must be one of the numbers of 5-9. Because 9 meets this requirement, you can round 8 to 9 and this will make 9 to 0.

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Rob borrows $15.00 from his father, and then he borrows $3.00 more. Drag numbers to write an equation using negative integers to
Paul [167]

Answer:

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A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting i
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Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

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Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

4 0
2 years ago
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8 0
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Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week t
valina [46]

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

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2 : x

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Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

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From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

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Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

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