Answer:
Your answer would be B. 0.81
Step-by-step explanation:
Hope I could help!
Have a great day! :)
Answer:
Fraction is ![\frac{12}{17}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B17%7D)
Step-by-step explanation:
Let x be the number of Matt's pen
and y be the number of Sarah's pen
4/5 of Sarah's pen (y) = 1/3 of Matt's pen (x)
So equation becomes
![\frac{4}{5}y=\frac{1}{3}x](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7Dy%3D%5Cfrac%7B1%7D%7B3%7Dx)
Solve for y
Multiply both sides by 5/4
![y=\frac{5}{4} * \frac{1}{3}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B4%7D%20%2A%20%5Cfrac%7B1%7D%7B3%7Dx)
![y=\frac{5}{12}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B12%7Dx)
Total number of Matt's and Sarah's pen = x+y
Total number of pens = ![x + \frac{5}{12}x](https://tex.z-dn.net/?f=x%20%2B%20%5Cfrac%7B5%7D%7B12%7Dx)
Take LCD 12
![\frac{12x}{12} + \frac{5x}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B12x%7D%7B12%7D%20%2B%20%5Cfrac%7B5x%7D%7B12%7D)
Now add the numerators
![\frac{17x}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B17x%7D%7B12%7D)
To express the number of Matts pens as a fraction
We divide the number of Matt's pen 'x' by the total number of pens
![\frac{x}{\frac{17}{12}x}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B%5Cfrac%7B17%7D%7B12%7Dx%7D)
we cancel out x at the top and bottom
![\frac{1}{\frac{17}{12}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Cfrac%7B17%7D%7B12%7D%7D)
Take reciprocal of 17/12 and multiply with top 1
So answer is 12/ 17
K = number of carpenters = 10
<span>C = 15,000+50(10)^2 +60x^2 </span>
<span>C = 15,000+5,000+60x^2 </span>
<span>C = 20,000+60x^2 ----- cost function </span>
<span>Marginal cost function = dC/dx = d/dx [60x^2] = 120x </span>
<span>MC = 120x ----- marginal cost function </span>
<span>Average cost function = C(x)/x = 20,000 /x + 60x </span>
<span>AC = 20,000/x + 60x
</span>Marginal cost when x=14 is:
<span>120(14) = 1,680 </span>
<span>Average cost when x=14 is: </span>
<span>20,000/14 + 60(14) = 2268.57
</span>
<span>Marginal cost is less than the average cost, so the average cost is decreasing as the number of electricians increases.</span>
Answer:
what second part
Step-by-step explanation:
i would like to help but resend second part
Answer:
Step-by-step explanation:
90 + 34 = (l)
(l) = 124