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Valentin [98]
3 years ago
9

Sam is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden i

s 9 feet more than 6 times the width. He needs 74 feet of fencing to do the job. How many feet is the length of the garden?
Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

The length of the garden is 33 feet and the width of the garden is 4 feet.                                        

Step-by-step explanation:

We are given the following in he question:

Perimeter of rectangular garden = 74 feet

Let l be the length of the garden and w be the width.

The length of the garden is 9 feet more than 6 times the width.

Thus, we can write

l = 9 + 6w\\\Rightarrow l-6w = 9

Perimeter of rectangular garden =

2(l + w) = 74\\\Rightarrow l+w = 37

Solving the two equation by elimination method, we get,

l-6w-(l+w) = 9 -37\\-7w = -28\\w = 4\\l = 9 + 6(4) = 33

Thus, the length of the garden is 33 feet and the width of the garden is 4 feet.

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An ice chest contains cans of apple juice, cans of grape juice, cans of orange juice, and cans of mango juice. Suppose that you
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Answer:

4.9%

Step-by-step explanation:

This question is incomplete. However; it can be found on search engines. The complete question is  as follows :

An ice chest contains cans of six apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice.

Solution :

In an ice chest there are different cans of juice. Among them

Number of cans of apple juice = 6

Number of cans of grape juice = 8

Number of cans of orange juice = 4

Number of cans of mango juice = 2

Total number of cans of juice = 6 + 8 + 4 + 2 = 20

Let A, B and C are the event of selecting of three cans.  The events A, B and C are dependent.

Probability of selecting three cans of juice

P = \frac{\text{number of grape cans}}{\text {total number of cans}}

P (A) = \frac{8}{20}

P (B) = \frac{7}{19}

P (B) = \frac{6}{18}

P = \frac{8}{20} × \frac{7}{19} × \frac{6}{18}

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  = 0.049 or 4.9%

Probability of selecting three cans of grape juice is 4.9%

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If you were to roll two dice, how many different ways could you roll double fours?
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Step-by-step explanation:

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