Answer:
C) Profit f(x) of the yogurt company after selling x units is given as :
f(x) = 1.03 x - 1850
Step-by-step explanation:
Here, the fixed cost spend by the company = $1850
Also,cost per yogurt per unit = $0.22
Now, let us assume the total yogurt units sold = x
So, the total cost for m units = x ( cost per unit) = x ($0.22) = 0.22 x
SO, the total COST PRICE of company = Cost of m units + Fixed cost
= $1850 + 0.22 x
Also,selling price of each unit = $1.25
So, the selling price of m units = x ( per unit selling price) = x ($1.25)
= 1.25 x
PROFIT = SELLING PRICE - COST PRICE
or f(x) = 1.25 x - $1850 + 0.22 x
or, f(x) = 1.03 x - 1850
Hence, the profit f(x) of the yogurt company after selling x units is given as : f(x) = 1.03 x - 1850
13 + x/2 = 3x
=> to solve this first convert 13 and x/2 into like fractions(with same denominators) ...
=> 13 is also 13/1
=> so 13/1 = 13/1 * 2 = 26/2
=> 26/2 + x/2 = 3x => (26+x)/2 = 3x
=> 26 + x = 3x*2
=> 26 = 6x - x
=> 5x = 26
=> x = 26/5
=>x = 5.2
hope it helps !!!!
Answer:
The amount of ounces, Y, of the 12% substance is 3.33 ounces
Step-by-step explanation:
The word problem has the task of discovering the required amount of the substance containing the 12% cottonseed required to create a snore suppressing substance with 8% cottonseed
Let the amount of the substance with 6% cottonseed in the 10 ounce substance be X and the amount of the substance with 12% cottonseed be Y
We have;
X×6% + Y×12% = 10 ounce × 8%
Which gives;
0.06×X + 0.12×Y = 0.08×10..........(1)
X + Y = 10.....................................(2)
Putting X = 10 - Y, we have;
0.06×(10 - Y) + 0.12×Y = 0.08×10
0.6 - 0.06·Y + 0.12·Y = 0.8
0.06·Y = 0.8 - 0.6 = 0.2
Y = 0.2/0.06 = 10/3 = 3.33 ounces
X = 10 - Y = 10 - 3.33 = 6.67 ounces
Therefore, the amount of ounces, Y, of the 12% substance = 3.33 ounces.
The first one is d and the second one is b
Answer:
true
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