Answer:
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Hi,
Essentially, we are saying that Alyssa gets 5 parts of the whole thing (140,000), Bart gets 3 parts of the whole and Meghan gets 2 parts of the whole. The sum total of their parts = the whole. So now we need to find out how much one part is. Thus,"one part" should be the variable. Substitute p for "one part", so Alyssa gets 5p, Bart gets 3p, and Meghan gets 2p. Since the sum of the parts = the whole, your problem sets up as: 5p + 3p + 2p = 140,000 --> 10p = 140,000 --> 10p/10 = 140,000/10 --> x = 14,000.
Alyssa gets 5p or (5 x 14,000)
Bart gets 3p or (3 x 14,000)
Meghan gets 2p or (2 x 14,000)
If the whole was a loss, it would be a negative, and instead of getting money, they would lose money.
Answer:
-1
Step-by-step explanation:
-2/3*-3-3
2-3
= -1
Answer:
a) 30.726m/s and b) 5.5549s
Step-by-step explanation:
a.) What was Chris Huber’s speed in meters per second(m/s)?
Given the distance and time, the formula to obtain the speed is
.
Applying this to our problem we have that
.
So, Chris Huber’s speed in meters per second(m/s) was 30.726m/s.
b) What was Whittingham’s time through the 200 m?
In a) we stated that
. This formula implies that
.
First, observer that
.
Then, Sam Whittingham speed was equal to Chris Huber’s speed plus 5.2777 m/s. So, 
Then, applying 1) we have that

So, Sam Whittingham’s time through the 200 m was 5.5549s.
Answer: since it doesnt say 620 is included , we can conclude that x>620, not x>=620 so the 8th week would be cut just short, so answer is 7
aka
fewer than 8 weeks
Step-by-step explanation:
1200-620=580
580/72.50=8