we are given
now, we can factor out right side term
now, we can plug back
and we get
so,
.............Answer
Answer:
Volume of cone = (1/3) * Volume of cylinder
Step-by-step explanation:
Use the formulas
Volume of cone = (1/3)* π r^2 *h
Volume of cylinder = π r^2 *h
Therefore
Volume of cone = (1/3) * Volume of cylinder
Answer:
24 blocks will be needed to make the tower that is 4 feet high
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ Charlie knows that 3 blocks are needed to make a tower that is
0.5 foot high
∵ He needs to make a tower that is 4 feet high
→ By using the ratio method
→ Blocks : height (ft)
→ 3 : 0.5
→ x : 4
→ By using the cross multiplication
∵ x × 0.5 = 3 × 4
∴ 0.5x = 12
→ Divide both sides by 0.5 to find x
∵ 
= 
∴ x = 24
∵ x represents the number of blocks
∴ 24 blocks will be needed to make the tower that is 4 feet high
If you call x the total value of the sales, the sale over 12,000 will be: g(x) = 12,000 - x.
And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g(x)
So, if f(x) = 0.041x, to calculate the commission you first have to calculate g(x) = 12,000 - x, and the f(g(x))=0.041[12,000 - x].
Which leads you to the solution for the commission as [f o g] (x) = f (g(x)) = 0.041 (12,000 - x).
Answer: [ f o g] (x)
Answer:
1 batch
Step-by-step explanation:
Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.
4.8 + 5.6 = 10.5 pounds per soup
10.5*2 = 21 > 20 pounds
Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.
