X=2y+11 and 4x+3y=11 so choose one of them. I choose x=2y+11 and solve it like this 4(2y+11)+3y=11
8y+44+3y=11
11y=-33
y=-3
a) The amount earned by Kurt by selling the break-even units of painting at $38 each is <u>$1,064</u>.
b) The number of paintings that Kurt will be selling at the break-even point is <u>28</u>.
<h3>What is the break-even point?</h3>
The Break-even point is the sales units at which the seller's total revenue equals the total costs.
At the break-even point, there is no profit or loss.
<h3>Data and Calculations:</h3>
Fixed costs = $112
Variable cost = $34
Selling price = $38
Contribution margin = $4 ($38 - $34)
Contribution margin ratio = 10.53% ($4/$38 x 100)
Break-even point (units) = Fixed costs/Contribution margin per unit
= 28 units ($112/$4)
Break-even point (dollars) = $1,064 ($38 x 28)
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Answer:
first one is 3 only second one is 2 only
Step-by-step explanation:
The greatest common factor of 45 and 10 is 5
The value 5 is the largest factor shared in common between 45 and 10
We can factor each monomial as follows
45c = 5*9c
10d = 5*2d
Which allows us to say
45c + 10d = 5*9c +5*2d
45c + 10d = 5*(9c+2d)
Notice how I used the distributive property in reverse. If we distribute the 5 back in, we get 45c+10d again
Answer: 5(9c+2d)