Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
Hey there!
Before you start solving anything, you need to identify which situation you want to call event A and which you want to call event B. I usually just do it in the order of the events as they're given to me in the question, so:
A = S<span>tudent participates in student council
B = S</span><span>tudent participates in after school sports
Any problems that contain the word "given" in the question portion will want you to refer to </span>P(A | B)<span> = P(</span>A ∩ B)/P(B). P(A | B) literally means "probability of event A, given that event B has occurred." P(A ∩ B) is the probability of event A and B happening, and P(B) is just the probability of event B happening. We've been given all of that, so:
P(A | B) = P(A ∩ B)/P(B)
P(A | B) = 11% / 62%
P(A | B) = 0.11 / 0.62
P(A | B) = 0.18
There will be about an 18% chance that <span>a student participates in student council, given that the student participates in after school sports.
Hope this helped you out! :-)</span>
Answer:
Step-by-step explanation:
$0.30
Step-by-step explanation:
1 bar of candy = $0.20
3 bars of candy = $0.50
To solve, multiply for both:
If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:
9 x 0.20 = $1.80
If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:
9/3 = 3
3 x 0.50 = $1.50
Subtract the total cost of the individual from the pack:
$1.80 - $1.50 = $0.30
. $0.30 is your answer.
Answer:
XY 
Represent a distance √
Represent a segment √
Represent a numerical value √
Represent a geometric figure √
Can be found by applying the ruler postulate √
Can be be duplicated with a compass and a straight edge √
Step-by-step explanation:
The difference between XY and are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while
11/56 inches or 0.196 inches must be removed.
The pipe measures 4/7 inches but needs to be reduced to 3/8 inches.
In order to find out the inches to be removed, you must subtract the length that the pipe should be from the length that it currently is.
<em>Length to be removed = 4/7 - 3/8</em>
You need a common denominator so find the lowest common factor of both denominators:
= 56
In the shared fraction, multiply the numerator by the number you get when you divide 56 by the denominator.
= 56/7 = 8 8 x 4 = 32
= 56 / 8 = 7 7 x 3 = 21
= (32 - 21) / 56
= 11 / 56 inches
= 0.196 inches
In conclusion, 11/56 inches must be removed to get the pipe to 3/8 inches
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