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sweet [91]
3 years ago
5

The volume of a rectangular prism is 240 cubic feet. The length is 8 feet and the height is 5 feet. What is the width?

Mathematics
1 answer:
Kruka [31]3 years ago
5 0
Volume = length * width * height

240 = 8 * 5 * w     where w = width, do
x = 240 / (8*5) =    6 ft
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Find a and b if<br>2^a×3^b=12​
krok68 [10]

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

 

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

6 0
3 years ago
the area of a square floor on a scale drawing is 100 square centimeters, and the scale of the drawing is 1 cm: 2 ft. what is the
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The square root of 100 is 10. The drawing must be 10 cm by 10 cm.

1 cm = 2 ft, so 10 cm must equal 20 feet.

20 * 20 = 400 square feet :)
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600/50=12
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-x>-7 is the answer the line
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