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sp2606 [1]
3 years ago
7

A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindric

al bale of hay has a diameter of 5 feet and a height of 6 feet. How many rectangular bales contain the same amount of hay as one cylindrical bale? Round your answer to the nearest tenth.

Mathematics
1 answer:
anastassius [24]3 years ago
7 0
To answer this you will find the volume of the rectangular prism shaped bale of hay and the cylindrical shaped bale of hay. Please see attached picture for the work. When you have these answers divided the volume of the cylindrical shaped bale by the rectangular prism shaped bale to determine how many.

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Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a cer
vovikov84 [41]

Answer:

The correct option is;

The x-intercept represents the shirts he has to sell before making a profit

Step-by-step explanation:

The given data are;

(0, -20), (1, -10), (2, 0), (3, 10), (4, 20), (5, 30), (6, 40), (7, 50), (8, 25), (9, 40), (10, 55), (11, 70)

The data show a linear relationship because successive data point increases by the same amount of 10 for x between 0 and 7 and 15  for x between 8 and 11;

Therefore;

Slope, m of the first linear portion using points (2, 0), and, (4, 20) gives;

m =  (20 - 0)/(4 - 2) = 10

The equation of the line is therefore;

y - 20 = 10·(x - 4)

y = 10·x - 40 + 20

y = 10·x - 20

The y-intercept (x = 0) is y = -20

The x-intercept (y = 0) is found as follows;

0 = 10·x - 20

20 = 10·x

10·x = 20

x = 20/10 = 2

Therefore, when x = 2 we have;

Profit = y = 10·x - 20 = 10×2 - 20 = 0

Which can be expressed as, he has to sell more than 2 shirts to make profit

Therefore, the correct option is that the x-intercept represents the shirts he has to sell before making a profit.

4 0
3 years ago
Please help
sweet [91]
40% (I think). Just chat me if you want an explanation :)
4 0
4 years ago
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A group of 5th graders went on a trip. Some of them had bikes and some did not. The ones without bikes left at 9:00 AM, walking
In-s [12.5K]

<span>If the walkers start at nine and want to join the cyclists at noon, they will have been walking for 3 hours. At 5 km/h, they would have walked for 15 km. The cyclists can travel 15 km at 12 km/h in 1.25 hours. Therefore, the cyclists can start their journey at 10:45 am.</span>

3 0
3 years ago
There are 2 squares and 10 triangles. What is the simplest ratio of squares to triangles
kipiarov [429]

Answer:

1/5

Step-by-step explanation:

2 squares to 10 traingles is 2/10

But if you divide both top and bottom by 2, it simplifies to 1/5

8 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
VladimirAG [237]

Answer:

m<3 = 127

Step-by-step explanation:

<3 = x

<5 and <3 are supplementary angles so:

x + 53 = 180

x = 127

7 0
3 years ago
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