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Dahasolnce [82]
3 years ago
7

A rectangular prism has a length of 1 2 in, a width of 2 in, and a height of 3 1 2 in. (a) How many cubes with side lengths of 1

2 in. will fit into the prism? Show your work or explain your thinking! (b) What is the volume of this prism? Write your answer as a simplified mixed number. Show ALL of your work!
Someone please help will give brainliest (50 pts)
Mathematics
2 answers:
erma4kov [3.2K]3 years ago
4 0
V of rectangular prism = l * w * h = 12 * 2 * 312 = 7,488 in³
V of one cube with side lengths 12 = l * w * h = 12 * 12 * 12 = 1,728 in³

Divide the volume of rectangular prism by the volume of the cube.

7488 / 1728 = 13 / 3 or 4.3. . .


mixas84 [53]3 years ago
4 0
V of rectangular prism = l * w * h = 12 * 2 * 312 = 7,488 in³V of one cube with side lengths 12 = l * w * h = 12 * 12 * 12 = 1,728 in³
Divide the volume of rectangular prism by the volume of the cube.
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A local nursery sells a large number of ornamental trees every year. The owners have determined the cost per tree C for buying a
Karo-lina-s [1.5K]

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Polynomial is an expression that involves the <em>operations of addition, subtraction, multiplication of variables.</em>

Let C represent the cost for buying and caring for n trees. Given that:

C = 0.001n² - 0.3n + 50.

The minimum cost is at dC/dn = 0, hence:

dC/dn = 0.002n - 0.3

0.002n - 0.3 = 0

0.002n = 0.3

n = 150

C(150) = 0.001(150)² - 0.3(150) + 50 = 27.5

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Find out more at: brainly.com/question/25836610

8 0
2 years ago
A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
LenKa [72]
We have y - 2 = m(x + 5), where m = (-1 - 2)/(10 + 5) = -3/15 = -1/5;
Then y - 2 = (-1/5)(x + 5);
5y - 10 = (-1)(x + 5);
5y - 10 = -x - 5;
x + 5y - 5 = 0 is the equation of the line.
3 0
3 years ago
G=3t^2−5t+6<br><br> P=−8t^2+7t−9<br><br> G+P=
kotykmax [81]

Answer:

  -5t^2 +2t -3

Step-by-step explanation:

Collect terms in the sum:

  G+P = (3t^2 -5t +6) +(-8t^2 +7t -9) = (3-8)t^2 +(-5+7)t +(6-9)

  = -5t^2 +2t -3

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Answer:

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Step-by-step explanation:

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