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Katarina [22]
3 years ago
13

A sculpture is created with colored blocks each with a volume of 1 cubic foot. What is its volume if the sculpture is 12 feet lo

ng, 5 feet wide and 8 feet high?
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

480 ft^3

Step-by-step explanation:

We can calculate the volume of the sculpture with the data they give us in the statement.

The volume would be the multiplication between the length, width and height, that is:

v = l * w * h

we know that l = 12 ft; w = 5 ft; h = 8 f, replacing:

v = 12 * 5 * 8

v = 480

in other words, the volume of the sculpture is 480 cubic feet, therefore 480 color blocks are needed because its volume is 1 cubic foot.

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-2x + y = 0 <br><br> -7x + 3y = 2<br> ​
dsp73
This is a system of equations.
First, you set everything in terms of y.
Take the first equation and move set everything equal to y
y=0+2x
Since it’s 0, you don’t need to put it, so
y=2x works.
Then, you plug y=2x into the bottom equation, for the y.
-7x +3(2x)=2. You do this because now you have the same variable for both and it can be solved easily.
Then you can simplify.
-7x+3x = 2
Then combine like terms.
-4x = 2
Divide by -4 on each side.
x = -1/2
So, now that you have x, you can plug in your x-value back into the top equation.
-2(-1/2) + y = 0
Combine like terms
1+y=0
Get y by itself
y=-1
There you have it!
You can check by plugging in both values to any of the equations. We will use the top one here.
-2(-1/2) + (-1) =0
+1 + -1 = 0
It works!
So,
X= -1/2
Y= -1
Please rate me Brainliest answer :)
3 0
3 years ago
Read 2 more answers
What property is (3x+7)+(2x+8)=3x+7+2x+8
Alex_Xolod [135]

Answer:

distributive property

Step-by-step explanation:

(3x + 7) + (2x + 8)

each of the parenthesis has a multiplier of 1 , placed outside the parenthesis.

then multiplying the terms inside the parenthesis by 1 gives

3x + 7 + 2x + 8

4 0
1 year ago
Solve:7 +42-32-32 = 14.3-2a +7<br> A = -3<br> A= 0<br> A= 3<br> no solution
madreJ [45]

Answer:

a = 18.15

Step-by-step explanation:

7+42-32-32=14.3-2a+7

Combine like terms on the left side of the equation first. Add 7 and 42, then subtract 32 from the answer you get, then subtract 32 from that answer. This is going by order of PEMDAS.

Remember PEMDAS: (numbers 3 & 4 and numbers 5 & 6 are solved from left to right)

  1. Parentheses
  2. Exponents
  3. Multiplication
  4. Division
  5. Addition
  6. Subtraction

-15=14.3-2a+7

After combining like terms on the left side, you get -15. Now combine like terms on the right side of the equation by adding 14.3 and 7.

-15=21.3-2a

Get -2a alone by subtracting 21.3 from both sides.

-36.3=-2a

Divide both sides by -2.

a=18.15

In this equation, a should equal \boxed{18.15}.

5 0
3 years ago
Msty and yesenia have a group of base ten blocks. misty had six more block than yesenia. yesenias blocks represent 17. together
Inessa05 [86]

yesenia has 9 blocks. misty has 15.

15 + 9 = 22.

for the values of the blocks, yesenia has 17 and misty has 68.

17 + 68 = 85.

hope i helped!

4 0
3 years ago
A cylinder with the height of 6km has a volume of 384km3 what is the radius?
azamat

Answer:

r = 8

Step-by-step explanation:

V = π r^2 h so 383 = r^2 (6)

383 / 6 = r^2

64 = r^2 so

r = 8

4 0
3 years ago
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