Answer:
30 mm
Step-by-step explanation:
The volume of a rectangular prism is the product of its three dimensions. To find the missing dimension, divide the volume by the product of the two that are given:
(165000 mm^3)/((100 mm)(55 mm)) = 165000/5500 mm^3/mm^2 = 30 mm
The answer is A. It has side lengths of 3.
After factoring the solutions are x=0 , x=3, x= -3
Step-by-step explanation:
We need to solve by factoring:
Solving:
Taking 3x common:
Now using formula
So, After factoring the solutions are x=0 , x=3, x= -3
Keywords: Factorization
Learn more about Factorization at:
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Answer:
x = 3
Step-by-step explanation:
Step 1: Write out equation
16 = 9x + 4 - 5x
Step 2: Combine like terms
16 = 4x + 4
Step 3: Subtract 4 on both sides
12 = 4x
Step 4: Divide both sides by 4
3 = x
Step 5: Rewrite
x = 3
To find how much older Leo is than John, we need to first assign our variables. In this case, let's say that x = Leo, y = Karla, and z = John. Now, let us turn words into numbers.
x = 2y
z = y - 7
Next, we need to create an equation for their combined ages. This is what the equation should look like:
x + y + z = 37
Now, just substitute the expressions we found for x and z. This is what we get:
2y + y + (y - 7) = 37
Solve for y:
2y + y + y - 7 = 37
4y - 7 = 37
4y = 44
y = 11
So now we have the value for y, which is Kayla's age. Therefore, just substitute the value for y back into the equations for x and z.
x = 2(y) => x = 2(11) => x = 22
z = y - 7 => z = 11 - 7 => z = 4
Now that we have the values for x, y, and z, all we need to do now is reassign them back to their respective names. Our final answer will be: John is 18 years older than Leo. The answer to your query would be E) 18. Hope this helps and have a nice day!