Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.
<u>The net income formula:</u>
y= (5 - 4)x - 120
(5-4)= contribution margin per unit sold (x)
120= fixed costs
<u>To calculate the break-even point in units, we need to use the following formula:</u>
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 120 / 1
Break-even point in units= 120 units
Prove:
y= 1*120 - 120
y= 0
(2x-2)+(15x+29)=180
17x+27=180
17x=180-27
17x=153
x=153/17 = 9
Answer is D
Answer:
- 20 -5k = 4
- the LCM of the denominators is 10
Step-by-step explanation:
I find it convenient to do the problem in the reverse order: find the LCM, then distribute. That way, I'm not distributing a fraction.
The LCM of 2 and 5 is their product: 2·5 = 10. Multiplying the equation by 10 gives ...
5(4 -k) = 4
Now, distributing, we get ...
20 -5k = 4
Answer:
The diagonal stripes would require a total of 34 feet of tape.
Step-by-step explanation:
You have six hypotenuses, and you can use the Pythagorean theorem to get their lengths.
The total length of the two big diagonals then is:
2×√(36 + 36)
and the total length of the four small diagonals is
4 ×√(9 + 9)
so the total length is:
2√72 + 4√18
= 12√2 + 12√2
= 24√2
≈ 33.9
