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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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I don’t get this at all can someone help?
aleksklad [387]

Reasons (In order):

  1. Given
  2. Given
  3. Definition of a midpoint
  4. Reflexive property
  5. SAS
  6. CPCTC
5 0
3 years ago
The following equation is true for all values of x. Write the number that completes the equation. Show your work.
labwork [276]
5y+2(3y-1)=__y-(y+2)
5y+6y-2=__y-y-2
11y-2+2+y=__y
12y=___y
so 12
6 0
3 years ago
What is the enlargement ratio if you enlarge the figure to have a width of 16 units and length of 12 units
Fantom [35]

Answer:

The enlargement ratio is 3:4

Step-by-step explanation:

We are given

a width of 16 units and length of 12 units

so,

W=16

and

L=12

now, we can find enlargement ratio

we can use formula

enlargement ratio = (length)/(width)

=\frac{L}{W}

now, we can plug values

=\frac{12}{16}

now, we can simplify it

=\frac{3}{4}

So,

The enlargement ratio is 3:4

6 0
3 years ago
The school that molly goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 sen
krek1111 [17]
The cost of a senior citizen ticket is $15 and the cost of a student ticket is $12.

How did I get this?
We know that 6 citizen tickets and 7 student stickers sold for $174 the first day. And 10 citizen tickets and 14 student tickets sold for $318 the second day.

1. create two equations out of this: C= citizen cost per ticket and S = student cost per ticket.

  6C + 7S = $174
10C + 14S = $318

2. Use process of elimination. Multiply the first equation by 2 because we want two variables to cancel out.

-12C - 14S = -$348
10C + 14S = $318
Combine like terms.

-2C = $30
Divide by -2 on both sides. The left side cancels out.

C = $30/-2
C = -$15 (In this case the negative doesn't matter)

C = $15 (cost of senior citizen ticket)

Plug the value of C into any of the two equations so we can get the value of S.

6($15) + 7S = $174
Distribute the 6 into the parenthesis.

$90 + 7S = $174
Subtract both sides by $90 and the left side will cancel out.

7S = $84
Divide both sides by 7.
S = $12

Student ticket: $12
Senior citizen ticket: $15




5 0
3 years ago
From delta math:<br> Subtract -2x^2 + 3x - 9 from 8x^2 + 10x - 10
Leto [7]

Answer:

10x^2 + 7x - 1

Step-by-step explanation:

Step 1: Build the expression in numerical form.

  • (8x^2 +10x - 10) - (-2x^2 + 3x - 9)

Step 2: Distribute the negative sign.

  • 8x^2 +10x -10 + (-1)(-2x^2) + (-1)(3x) + (-1)(-9)
  • 8x^2 + 10x - 10 + 2x^2 + (-3x) + 9  

Step 3: Combine like terms.

  • (8x^2 +2x^2) + (10x -3x) + (-10+9)
  • 10x^2 +7x -1

Therefore, the answer is 10x^2 + 7x -1.

4 0
2 years ago
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