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Kitty [74]
3 years ago
5

A box has a rectangular base with a length of 3x + 2 and width of 2x - 2, and the base has a perimeter of 60 centimeters. If the

height of the box is x, what is the volume of the box? A) 600 cm3 B) 748 cm3 C) 840 cm3 D) 1,200 cm3 Submit Hint Algebra and Modeling (MAFS.912.A-CED-1.4) Rearrange Formulas ID: 100350
Mathematics
1 answer:
vredina [299]3 years ago
8 0
Let's solve for x first via the perimeter.

2(3x+2) + 2(2x-2) = 60
6x + 4 + 4x -4 = 60
10x = 60
x = 6

Therefore the length is 3(6) + 2 = 20 and the width is 2(6) - 2 = 10.

Volume is length x width x height

20 x 10 x 6 = 1200

Your final answer should be 1200 cubic cm or D. Hope this helps!
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Solve for z<br><br> 15z–19≥–9 or z+13≤6
babunello [35]

Answer:

the answer is A

i hope this helps

5 0
3 years ago
Read 2 more answers
Pls help giving brainliest Question: a ÷ b when a = 10 and b = 4 a ÷ b = hint its not 2.5​
Ulleksa [173]

The answer is 2.5, but if you say it isn't then maybe it can be as a fraction  \frac{10}{4} or \frac{5}{2}.

7 0
2 years ago
The sum of two numbers is 11 and their product is 18. Find the numbers.
Vanyuwa [196]

Answer: the numbers are 9 and 2

Step-by-step explanation:

Let the numbers be a and b

a + b = 11.........equation 1

ab = 18.......equation 2

Multiply equation 1 by a

a ^2 + ab = 11a.......equation 3

Substitute the value of ab from equation 2 into equation 3

a ^2 + 18 = 11a

a^2 - 11a + 18 = 0

(a-9) x (a-2) = 0

If a = 9, then b =2

I hope this helps, please mark as brainliest answer.

3 0
3 years ago
Ello can you solve #14 ty
Andre45 [30]

Answer:

  (x, y, z) ≈ (30.375, 12.369, 13.915)

Step-by-step explanation:

You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.

  27/24 = x/27

  x = 27²/24 = 30.375 . . . . . . multiply by 27

__

Likewise, the ratio of short side to long side is the same for each:

  y/24 = (30.375 -24)/y

  y² = 24(6.375)

  y = √153 ≈ 12.369

__

And the ratio of short side to hypotenuse is the same:

  z/30.375 = 6.375/z

  z² = 30.375×6.375 = 193.640625

  z = √193.640625 ≈ 13.915

6 0
2 years ago
Need help with question number 14. This is the hardest one yet.
Reil [10]

Answer:

Answer is D

Step-by-step explanation:

10x+5y

10(6)+5(9)

60+45=

105

5 0
3 years ago
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