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Naddika [18.5K]
3 years ago
8

A storage pod has a rectangular floor that measures 21 feet by 9 feet and a flat ceiling that is 7 feet above the floor. Find th

e area of the floor and the volume of the pod.
Mathematics
1 answer:
mario62 [17]3 years ago
4 0

Answer:

  • area: 189 ft²
  • volume: 1323 ft³

Step-by-step explanation:

The area of the rectangular floor is the product of its length and width:

  A = LW = (21 ft)(9 ft) = 189 ft²

The volume of the pod is the product of that floor area and the height:

  V = Bh = (189 ft²)(7 ft) = 1323 ft³

The area of the floor is 189 ft²; the volume of the pod is 1323 ft³.

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The system of equations below has no solution.
mixer [17]

Answer:

  • Second option: 0 = 26

Explanation:

This is the given system of equations:

\frac{2}{3} x+\frac{5}{2} y=15\\ \\ 4x+15y=12

A linear combination of the system is any equation formed by the algebraic addition of both equations, one or both multiplied by an arbitrary constant.

To prove that the given system has no solution you could multiply the first equation times 6 (to get rid of the fractions), multiply the second equation times - 1, and add the two results:

<u>1. First equation times 6:</u>

6\times\frac{2}{3} x+6\times\frac{5}{2}y=6\times 15\\ \\ 4x+15y=90

<u />

<u>2. Second equation times - 1:</u>

-4x-15y=-12

<u />

<u>3. Add the two new equations:</u>

0=78

<u />

<u>4. Conclusion:</u>

Since 0 = 78 is false, no matter what the value of x and y are, the conclusion is that the system of equations has not solution.

The only choice that represents that same situation is the second one, 0 = 26. That is a possible linear combination that represents that the system of equations has no solutions.

In fact, you might calculate the exact factors by which you had to multiply each one of the original equations to get 0 = 26, but it is not necessary to tell that that option represents a possible linear combination for the given system of equations.

7 0
3 years ago
Read 2 more answers
Find the slope! help please
nirvana33 [79]

Answer:

-2/3 or 2/-3 ( either one is correct)

Step-by-step explanation:

1. Pick one the points to start with

2. Move either three to the left (if you are starting with x) or move down twice (if you are starting with y)

3. Move up twice (if starting with x) or move three to the right (if starting with y)

4. write the answer with the y at the top  and x on the bottom

5 0
4 years ago
Please halp me with both!
RideAnS [48]

Answer:

See below

Step-by-step explanation:

I see the term 2x being repeated 5 times, and repeated addition is multiplication, so we can do 5(2x) to get 10x, and we can set that equal to 11 to get 10x=11. Dividing both sides by 10 gets us x=11/10 or x=1.1

7 0
3 years ago
I just need help with the table
navik [9.2K]
-2, 0, 2, and 4 are the x values. To find y, we must substitute x for each of these values in y = -3/2x + 2.

-3/2 times -2 = 3. 3 + 2 = 5. The y value that goes with -2 in the table is 5.

-3/2 times 0 = 0. 0 + 2 = 2. The y value that goes with 0 is 2.

-3/2 times 2 = -3. -3 + 2 = -1. The y value that goes with 2 is -1.

-3/2 times 4 = -6. -6 + 2 = -4. The y value that goes with 4 is -4.

So, the table/coordinates are:

(-2, 5)
(0, 2)
(2, -1)
(4, -4)

I hope this makes the process clear.
6 0
3 years ago
What is the value of the 7 in 0.873?<br> (answer needs to be a fraction)
densk [106]

Answer:

7/100

Step-by-step explanation:

0.8<u>7</u>3

7 is in the hundredths place.

The value of 7 in the given number is 0.07, or \frac{7}{100}.

Hope this helps.

7 0
3 years ago
Read 2 more answers
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