The answer is:
7 miles
5+2=7
You need to find the area of this
Answer:
50%
Step-by-step explanation:
You can literally do it mentally lol
$500,000
- <u>$250,000</u>
$250,000
so by common sense, it's 50%
Hope it helped!
Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:
![\displaystyle \bar C(X)=\frac{C(x)}{x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20C%28X%29%3D%5Cfrac%7BC%28x%29%7D%7Bx%7D)
The cost function is:
![C(x) = -20x+1681](https://tex.z-dn.net/?f=C%28x%29%20%3D%20-20x%2B1681)
And the average cost function is:
![\displaystyle \bar C(X)=\frac{-20x+1681}{x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20C%28X%29%3D%5Cfrac%7B-20x%2B1681%7D%7Bx%7D)
We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:
![\displaystyle \frac{-20x+1681}{x}\le 21](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-20x%2B1681%7D%7Bx%7D%5Cle%2021)
Multiplying by x:
![-20x+1681 \le 21x](https://tex.z-dn.net/?f=-20x%2B1681%20%5Cle%2021x)
Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:
![1681 \le 21x+20x](https://tex.z-dn.net/?f=1681%20%5Cle%2021x%2B20x)
![1681 \le 41x](https://tex.z-dn.net/?f=1681%20%5Cle%2041x)
Swapping sides and changing the sign:
![41x \ge 1681](https://tex.z-dn.net/?f=41x%20%5Cge%201681)
Dividing by 41:
![x\ge 41](https://tex.z-dn.net/?f=x%5Cge%2041)
The least number of items to produce is 41
Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have
![8=2^{3}](https://tex.z-dn.net/?f=8%3D2%5E%7B3%7D)
![6=2*3](https://tex.z-dn.net/?f=6%3D2%2A3)
The least common multiple are those common and non-common numbers with the greatest exponent
so
![lcm= 2^{3}*3=24](https://tex.z-dn.net/?f=lcm%3D%202%5E%7B3%7D%2A3%3D24)