Answer:
The artist makes profits when n>8.18
that is when the number of necklaces exeeds 8.18
Step-by-step explanation:
Given
let the number of necklaces be n
booth rent= $135
The cost of materials for the necklaces = $4.5n
the selling price for all the necklaces =$12n
total expenses= booth rent+cost of material = $135+4.5n
profit = selling price -total expenses
12n > 135 + 4.50n
solving for n we have
12n=135 + 4.50n
12n+4.5n=135
16.5n=135
n=135/16.5
n=8.18
The artist makes profits when n>8.18
Answer:
Ethan and Tenaya ate more than half of their pizza.
Sam and Suzy ate less than half of their pizza.
Step-by-step explanation:
We have been given that each of the four friends ordered individual pizzas. They ate some part of the pizzas and we have to find who ate more than half of their pizza? Less than half?
Suzy ate 3/8 of her pizza. It means she ate 0.375 of her pizza which is less than half.
Ethan ate 3/5 of his pizza. It means he ate 0.6 of his pizza which is greater than half.
Tenaya ate 4/6 of her pizza. It means she ate 0.67 of his pizza which is greater than half.
Sam ate 1/3 oh his pizza. It means he ate 0.3 of his pizza which is less than half.
Hence, we can conclude that
Ethan and Tenaya ate more than half of their pizza.
Sam and Suzy ate less than half of their pizza.
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
Df/dy=(1350-750)/(2010-2000)
df/dy=60
f(y)=750+60(y-2000) or neatened up a bit...
f(y)=60y-119250 (note: y is the actual year, ie 2005, not year like 2 years from start)
