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Vesna [10]
3 years ago
12

Mr. Jackson rented a storage unit in the shape of a rectangular prism. The volume of the unit is 230 cubic yards. The storage un

it is 5 and 3/4 yards wide and 10 yards long. What is the height of the storage unit?
Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

4 yards

Step-by-step explanation:

the formula for finding the volume of a shape is volume= to length times with times how tall it is. In this case we do not have the hight so we make a formula. 5 and 3/4 times 10 times hight = to 230. If you do the math you get 4 yards as the answer.

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Solve this simultaneous equation m+2n=10 and 2n+3m=18​
Ksju [112]

Answer:

m=4

n=3

Step-by-step explanation:

m+2n=10

2n+3m=18

Subtract

-2m=-8

m=4

Solve for n

(4)+2n=10

2n+3(4)=18

2n=10-4

2n=18-12

2n=6

n=3

3 0
2 years ago
Kyle has to make a decision about his health insurance. Under one plan, the monthly cost of insurance is $15, but if he visits a
tester [92]

100 - 0.05 = 0.95

Expected monthly cost =

Monthly cost x 0.95 + office visit x 0.05

15 x 0.95 + 50 x 0.05

14.25 + 2.50 = $16.75

8 0
3 years ago
Read 2 more answers
NEED HELP ASAP ILL MARK BRAINLIEST IF ITS RIGHT!!!​
Leto [7]

Answer:

f(1)=-11

f(n)=f(n-1)+22

Step-by-step explanation:

Base equation:

f(n)=-11+22(n-1)

f(1)=-11+22(1-1)

f(1)=-11+0

f(1)=-11

f(n)=-33+22n

f(n-1)=-11+22(n-2)

f(n-1)=-55+22n

-33+22n=-55+22n+x

22n gets canceled out

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-33+55=x

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f(n)=f(n-1)+22

5 0
3 years ago
Susan has a 12-inch board for constructing a wooden chair.The directions say to use a board that is 29 centimeters long.Id her b
Advocard [28]

We have been given that Susan has a 12-inch board for constructing a wooden chair.The directions say to use a board that is 29 centimeters long. We are asked to determine if Susan's board is long enough to cut or not.

We know that 1 inch is equal to 2.54 cm.

Let us convert 12 inches into cm by multiplying 12 by 2.54.

12\text{ inches}=12\times 2.54\text{ cm}

12\text{ inches}=30.48\text{ cm}

Since 12 inches is equal to 30.48 centimeters and 30.48 is greater than 29, therefore, Susan's board in long enough to cut.

6 0
2 years ago
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He h
zhuklara [117]

I added a screenshot of the complete question along with the given choices.

<em><u>Answers:</u></em>

w = 10 ft and l = 50 ft ................> second option

w = 20 ft and l = 60 ft ...............> third option

w = 50 ft and l = 40 ft ...............> fifth option

<em><u>Explanation:</u></em>

<u>We are given that:</u>

length should be at least 20 ...........> length ≥ 20

equation for perimeter is : 2l + 2w ≤ 200

<u>We will check each option as follows:</u>

<u>Option 1:</u>

w = 50 ft and l = 10 ft

This option is incorrect as the proposed length is less than 20.

<u>Option 2:</u>

w = 10 ft and l = 50 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(10) = 100 + 20 = 120 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 3:</u>

w = 20 ft and l = 60 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(60) + 2(20) = 120 + 40 = 160 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 4:</u>

w = 90 ft and l = 30 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(30) + 2(90) = 60 + 180 = 240 > 200

The second condition is not satisfied.

This option is incorrect

<u>Option 5:</u>

w = 50 ft and l = 40 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(40) = 100 + 80 = 180 ≤ 200

The second condition is also satisfied.

This option is correct

Hope this helps :)

8 0
3 years ago
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