Simplify the radical by breaking the radicand up into a product of known factors in other words take the cube root of 27 then for the exponent 9 you divide by 3 get
3x^3
The volume of the moving box will be 7776 cubic inches,.
<h3>What is the volume of the rectangular prism?</h3>
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L × W × H
V = Base area x height
A moving box has a square base with an area of 324 in².
Its height is 24 inches.
Then the volume of the moving box will be
V = Base area x height
V = 324 x 24
V = 7776 cubic inches
More about the volume of the prism link is given below.
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Given:
The cost C (in dollars) to participate in a ski club is given by,
Where x is the number of ski trips we take.
To find:
The number of ski trips when a total cost of $315 and $485 is spent.
Explanation:
Substituting C = 315 in the given equation we get,
Substituting C = 485 in the given equation we get,
Thus,
If we spend a total cost of $315, we can take 3 ski trips.
If we spend a total cost of $485, we can take 5 ski trips.
Final answer:
• If we spend a total cost of $315, we can take 3 ski trips.
,
• If we spend a total cost of $485, we can take 5 ski trips.
Answer:
n-5
Step-by-step explanation:
If n is the number, then the equation is n-5 because the number decreases by 5 each time.
Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.
We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.
We combine like terms to get 3x-20000=211000.
We add 20000 to both sides to get 3x=231000.
We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.
Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.
