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zavuch27 [327]
3 years ago
12

You work for a landscape company that just got a contract to re-mulch a park. The area that needs mulching is 30 feet by 60 feet

. They want a 3 inch layer of much on the area. The company has bags of mulch that cover 2 cubic yards that cost $4.00 per bag. How much will it cost the consumer just in materials to re-mulch the area (round to the nearest dollar)?The dairy produces 512 gallons of milk on average a day. How many cups of milk does the dairy produce?
Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Answer:

It cost $36 to the consumer just in materials to re-mulch the area

The dairy produce 8192 cups on average a day

Step-by-step explanation:

Dimensions of area that is needed to be mulch 30 feet by 60 feet.

1 foot = 0.333333 yards

Length = 30 feet = 9.99999 yards

Width = 60 feet = 19.99998 yards

Since we are given that They want a 3 inch layer of much on the area.

1 inch =0.0277778 yards

3 inch = 0.0833334 yards

So, the volume of mulch required for the given area :

=  length * width* thickness

= 9.99999*19.99998 *0.0833334

= 16.6666466667 cubic yards

Now 2 cubic yards can be covered with 1 bag of mulch

So, 16.6666466667 cubic yards can be covered with bags of mulch :

= \frac{16.6666466667}{2}

= 8.33332333335

Thus 9 bags are required to re mulch .

Since cost of 1 bag is $4.00

So, cost of 9 bags = 9*4 =$36

Hence it cost $36 to the consumer just in materials to re-mulch the area

Now,

The dairy produces 512 gallons of milk on average a day.

Now 1 gallon = 16 cups

So, 512 gallons = 512*16 = 8192 cups .

Hence the dairy produce 8192 cups on average a day

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Answer:

Hello! Your answer should be there is a higher rate of change at Company 1.

Step-by-step explanation:

Hope this helped! :)

Have a great rest of your day!

                                                   

4 0
2 years ago
Which graph represents the inequality y≥1−3x?
Slav-nsk [51]

Answer:

first one

Step-by-step explanation:

4 0
3 years ago
Carmen wants to join a gym. Gym A costs $26.76 plus an additional $4 for each visit. Gym B has no initial fee but costs $12.92 f
joja [24]

Answer:

After 3 visits both plans will cost the same.

Step-by-step explanation:

Gym A costs $26.76 plus an additional $4 for each visit.

Gym B has no initial fee but costs $12.92 for each visist.

The cost for gym A can be written as

C= $26.76 + 4(x)  where x is the number of visits to the gym A

The cost for gym B can be written as

C= $12.92 (x)  where x is the number of visits to the gym B

Both costs will be equal

12.92x= 26.76 +4x

12.92x-4x= 26.76

8.92x= 26.76

x= 26.76/8.92

x= 3

after 3 visits both plans will cost the same.

Check

12.92x= 26.76 +4x

12.92*3= 26.76 +12

38.76= 38.76

3 0
3 years ago
J. Reexamine the sequence 20, 14, 8, 2, ... from the problem
DENIUS [597]

Answer:

The n th of the given sequence is t_{n} = 26-6 n

Step-by-step explanation:

<u>Step 1</u> :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference isd = second term- first term = 14-20=-6

now the nth term of given sequence is

by using formula t_{n}=a+(n-1)d

t_{n}= 20+(n-1)(-6)

t_{n}= 20-6 n+6

final answer:-

t_{n} = 26-6 n

<u>verification</u>:-

t_{n} = 26-6 n

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

t_{n} = 26-6 n

3 0
3 years ago
What is the probability of flipping a head in 3 consecutive flips of a fair coin?
Pavlova-9 [17]
The probability is 1/30
7 0
2 years ago
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