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mihalych1998 [28]
3 years ago
14

You need to cover the playground of a child development center with mulch. the playground is 125 feet long and 60 feet wide. you

want the mulch to be at least 6 inches deep.how many cubic yards of mulch should you have delivered? round your answer to the nearest whole number.
Mathematics
1 answer:
kirill [66]3 years ago
4 0
The answer is 139 cubic yards

This mulch will be of cylindrical shape.
The volume (V) of a cylinder is: 
V = l · w · h           (l - length, w - width, h - height (in our example, height = depth)

It is known:
l = 125 feet
w = 60 feet
h = 6 inches = 0.5 feet

V = l · w · h = 125 · 60 · 0.5 = 3750 feet³

Since 1 cubic foot is 0.037 cubic yards, 3750 cubic feet are 139 cubic yards:
0.037 ·  3750 feet³ = 138.75 cubic yards ≈ 139 cubic yards
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a scout meeting lasts 2 hours. if 36 minutes was spent on making dream catchers, what percentage of the meeting is left
Llana [10]

Answer:

70% of the meeting is left.

Step-by-step explanation:

Hi, to answer this question, first, we have to convert the hours to minutes.

Since 1 hour = 60 minutes

For 2 hours:

1 /60 = 2/x

x = 2 (60)

x = 120 minutes

So, a scout meeting last 120 minutes (2 hours)

36 minutes already spent.

120-36 = 84 minutes left

So, if 120 is the 100% of the meeting, for 84 minutes:

120/100 = 84/x

1.2 =84/x

x = 84/1.2

x = 70%

70% of the meeting is left.

8 0
3 years ago
Divide the polynomial x^3+x^2-2x+3 by (x-1)​
Anni [7]

Answer:

x² + 2x + (3 / (x − 1))

Step-by-step explanation:

Start by setting up the division:

.........____________

x − 1 | x³ + x² − 2x + 3

Start with the first term, x³.  Divided by x, that's x².  So:

.........____x²______

x − 1 | x³ + x² − 2x + 3

Multiply x − 1 by x², subtract the result, and drop down the next term:

.........____x²______

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Repeat the process over again.  First term is 2x².  Divided by x is 2x.  So:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Multiply, subtract the result, and drop down the next term:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

.................-(2x² − 2x)

.................---------------

.....................................3

x doesn't divide into 3, so that's the remainder.

Therefore, the answer is:

x² + 2x + (3 / (x − 1))

8 0
3 years ago
Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, ridin
Juli2301 [7.4K]

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

4 0
3 years ago
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