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Arturiano [62]
3 years ago
11

the average u.s. citizen throws away about 1,606 lb of trash each year. find this rate in pounds per month, to the nearest tenth

Mathematics
2 answers:
erik [133]3 years ago
8 0

Answer:

The average U.S. citizen throws away about 133.8 pounds of garbage a month.

Step-by-step explanation:

First take the total amount of trash thrown away in a year (1,606), and divide it by the number of months in a year (12).

1,606 / 12 = 133.833333

You would get 133.833333 and would round it to the nearest tenth and get 133.8.

atroni [7]3 years ago
8 0

Answer:

133.83 lb/month, or  133.8 lb/month to the nearest tenth.

Step-by-step explanation:

Here we need to find the unit rate of throwing stuff away.

To do this, divide 1,606 lb by 12 months, since we want the answer in pounds per month:

1,606 lb

------------- = 133.83 lb/month, or 133 5/6 lb/month

12 mos

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An electric pump can fill a 45-gallon tub in half an hour.At this rate, how long would it take to fill a 60-gallon tub?
zysi [14]
You can cross multiply to find the answer. Start by setting up your equation:

45/30 = 60/x  (30 represents half an hour)
Next, cross multiply, 45 times x, and 60 times 30: 

45x = 1800  you must isolate the "x" value by using the opposite operation it is involved in. Here we have 45x (x is multiplied to 45) so we must divide 45, which will cancel itself out, leaving us with "x."

What you do on one side of the equation, you must do on the other, so divide 1800 by 45 as well, which will leave you with 40.

Working it out on paper, your equation should now look like this: x=40, which represents the amount of time it will take to fill a 60 gallon tube.

Answer: It will take 40 minutes to fill a 60 gallon tube. 
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3 years ago
Estimate the slope of the tangent line of the function y(t)=\sqrt{(3t+1} at the point t=2.
Korvikt [17]

Answer: 0.567

Step-by-step explanation:

y(t)=\sqrt{3t+1} \\\\y'(t)=\dfrac{3}{2\sqrt{3t+1} } \\\\y'(2)=\dfrac{3}{2\sqrt{3*2+1} } =\dfrac{3\sqrt{7} }{14} =0,56694670951384084082177480435127\approx{0.567}

7 0
3 years ago
What is -5/4 minus 7?
DaniilM [7]

Answer:

-33/4 or -8 1/4

Step-by-step explanation:

Make similar terms:

-5/4 - 28/4: then solve

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-33/4: simplify

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7 0
3 years ago
Read 2 more answers
Classify each pair of numbered angles.
kifflom [539]
Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.

For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.

For the next one, since the angles only share 1 line (and not a side) they can't be any of the above. 
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3 years ago
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SGA is doing a fundraiser to sell candles for project graduation. Small candles cost $4.00 and large candles cost $6.00. They ha
mafiozo [28]

Given:

Cost of small candles = $4.00

Cost of large candles = $6.00

They have at most 50 candles, and want to make at least $100.

To find:

The system of linear inequalities represents the situation.

Solution:

Let x be the number of small candles and y be the number of large candles.

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Therefore, the inequalities in the system of linear inequalities are x+y\leq 50 and 4x+6y\geq 100.

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