Answer: 12 people or less
Step-by-step explanation:
114≥30+5x+2x
114-30≥5x+2x
84≥7x
84/7≥7x/7
12≥x
There can be at 12 people or less who can attend the Friday night
General formula :
V = pi x radius squared x height
41.5 = pi x 4 x h
41.5 = 4pi x h
41.5/4pi = h
3.302465069 = h
Answer:
break even point = 8000 socks produced or $36000 in costs
Step-by-step explanation:
the cost function of the firm is
total cost = fixed cost + variable cost = $20000 + $2*Q
where Q= number of socks
the revenue from sales is
sales = Price* Q = $4.50*Q
the break even point is reached when the net profit is = 0 ( that is, the total cost is equal to the revenue from sales) , then
total cost = sales
$20000 + $2*Q =$4.50*Q
Q= $20000/($4.50-$2) = 8000 socks
that represents
total cost = $20000 + $2*8000 = $36000
then
break even point = 8000 socks produced or $36000 in costs
Answer:
Step-by-step explanation:
V = volume
r = rate
t = time
Use formula 
connecting volume, rate and time.
In your case,
cup of water
hours
r is unknown.
Substitute all data into the formula:
![\dfrac{1}{4}=r\cdot 1\dfrac{1}{2}\\ \\\dfrac{1}{4}=r\cdot \dfrac{3}{2}\\ \\2\cdot \dfrac{1}{4}=3r\ [\text{Multipled by 2}]\\ \\3r=\dfrac{1}{2}\\ \\r=\dfrac{\frac{1}{2}}{3}\ [\text{Divided by 3}]\\ \\r=\dfrac{1}{6}\ \text{cups per hour}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%201%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%20%5Cdfrac%7B3%7D%7B2%7D%5C%5C%20%5C%5C2%5Ccdot%20%5Cdfrac%7B1%7D%7B4%7D%3D3r%5C%20%5B%5Ctext%7BMultipled%20by%202%7D%5D%5C%5C%20%5C%5C3r%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B3%7D%5C%20%5B%5Ctext%7BDivided%20by%203%7D%5D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B1%7D%7B6%7D%5C%20%5Ctext%7Bcups%20per%20hour%7D)
<em>Answer: I'm sorry. Your question does not provide enough information for me to answer it.</em>
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