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Novosadov [1.4K]
3 years ago
10

You want to put a 5 inch thick layer of topsoil for a new 23 ft by 18 ft garden. the dirt store sells by the cubic yards. how ma

ny cubic yards will you need to order? the store only sells in increments of 1/4 cubic yards.
Mathematics
2 answers:
Rina8888 [55]3 years ago
6 0

Answer:

You need to buy 6.5 cubic yards.

Step-by-step explanation:

You want to put a 5 inch thick layer of topsoil for a new 23 ft by 18 ft garden.

We know 1 yard = 3 feet or 1 yard = 36 inches

Then 1 inch = 1/36 yard.

1 feet = 1/3 yard

The volume of the layer of the topsoil is given by:

= 5(1/36)(23)(1/3)(18)(1/3) cubic yards

2070/324=6.39 cubic yards

Now, the store only sells increments of 1/4 = 0.25 cubic yards.

So, we need to buy 6.39/0.25=25.56 increments

Rounded to 26 increments.

Therefore, we need to buy 26 increments of 1/4 cubic yards.

That becomes 6.5 cubic yards.

lianna [129]3 years ago
5 0

5 inches = 5/12 = 0.4166 feet

23 x 18 x 0.4166 = 172.5 cubic feet

1 cubic foot = 0.037037 cubic yards

172.5 x 0.037037 = 6.39 round up to 6.5 cubic yards

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ivann1987 [24]

Answer:

AA SIMILARITY statement

SSS similarity statement is also possible.

Step-by-step explanation:

In \:  \triangle CBA  \: and \:  \triangle TVU \\  \angle B \cong \angle V... (given) \\\angle A \cong \angle U... (given) \\\therefore \triangle CBA \sim \triangle TVU... (By AA\: Postulate)  \\

5 0
3 years ago
What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?
yKpoI14uk [10]
a_1=8
a_2=a_1+d=8+d
a_3=a_2+d=(8+d)+d=8+2d
a_4=a_3+d=(8+d)+2d=8+3d
...
a_9=8+8d=48\implies d=5
a_{10}=8+9d
...
a_{23}=8+22d=118
8 0
3 years ago
Read 2 more answers
Least common multiple of 2,7, and 13
san4es73 [151]


To work out the LCM, we need their prime factors. So:

2 is simple 2 x 1.

7 is also 7 x 1.

13 is also 13 and 1.

They all have in common "1" - so we keep that aside as 1 figure, rather than 3.

We still have the 2, 7 and 13 leftover.

We then multiply the 1 with the other figures.

So 1 x 2 x 7 x 13 is our answer.

Which is = 182.


Hope I helped:)


~FabSafxo

6 0
3 years ago
Read 2 more answers
HELP ASAP
Ipatiy [6.2K]
B. j = 32m
Hope this helps!
5 0
3 years ago
Me. Sanchez bought some books at a book sale, including 15 paperback books. 75% of all the books he bought were paperbacks
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Answer:

                   

Step-by-step explanation:

                                   

6 0
3 years ago
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