First, find the LCD of the two fractions.
Multiples of 12: 12, 24, 36, 48, 60.
Multiples of 20: 20, 40, 60
The LCD is 60.
Second, change the denominators to be the same as the LCD.
Third, 5 × 5 = 25 / 12 × 5 = 60 / 3 × 3 = 9 / 20 × 3 = 60
Fourth, combine the denominators.
Fifth, subtract 25 - 9 to get 16.
Sixth, find the GCF of 16 and 60.
The GCF is 4.
Seventh, divide the numerator by the GCF.
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Eighth, divide the denominator by the GCF.
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Ninth, rewrite the fraction in simplest form.
Answer as fraction:
Answer as decimal: 0.2667
Answer:
The Break Even point is the point at which the cost=revenue
14,980+20x=30x
14,980=10x
1,498=x
a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960
b. The profit function is P(x)=R(x)-C(x)
So P(x)=30x-(14,980+20x)
If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.
Answer:
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Step-by-step explanation:
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Answer:
9 feet
Step-by-step explanation:
The perimeter of a rectangle is 2(l + w) = p, where l = length, w = width, and p = perimeter.
- In this case, we're given the values of the width and perimeter: 2(l + 3) = 24
- We can solve this equation algebraically!
Step 1: Distributive the 2 to the terms inside the parentheses.
Step 2: Subtract 6 from both sides.
Step 3: Divide both sides by 2.
Therefore, the length is 9 feet.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
The terms that come from expansion through Pascal's Triangle are x^3+9x^2+27x+27. The third term in this sequence is 27x. This is your answer.
