<u>Step 1</u>
Convert mixed fractions into fractions
6 2/5 = (6*5)+2) / 5 = 32/5
2 2/3 = (2*3)+2) / 3 = 8/3
<u>Step 2</u>
32/5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
<u>Step 2 (A)</u>
Get the reciprocal of the 2nd fraction:
From 8/3 to 3/8
<u>Step 2 (B)</u>
Multiply 1st fraction to the reciprocal of the 2nd fraction
32/5 * 3/8 = (32*3) / (5*8) = 96/40
<u>Step 2 (C)</u>
Simplify the fraction
96/40 divide by 4 will become 24/10
24/10 divide 2 will become 12/5. The simplest fraction of 96/40
The unit rate is 12/5 = 2 2/5 revolutions per second
Answer:
$5,300
Step-by-step explanation:
Formulae used,
![a=\dfrac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B%28%5Csum%20x%5E2y%5Csum%20xx%29-%28%5Csum%20xy%5Csum%20xx%5E2%29%7D%7B%28%5Csum%20xx%5Csum%20x%5E2x%5E2%29-%28%7B%5Csum%20xx%5E2%29%7D%5E2%7D)
![b=\dfrac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B%28%5Csum%20xy%5Csum%20x%5E2x%5E2%29-%28%5Csum%20x%5E2y%5Csum%20xx%5E2%29%7D%7B%28%5Csum%20xx%5Csum%20x%5E2x%5E2%29-%28%7B%5Csum%20xx%5E2%29%7D%5E2%7D)
![c=\dfrac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}](https://tex.z-dn.net/?f=c%3D%5Cdfrac%7B%5Csum%20y%7D%7Bn%7D-b%5Cfrac%7B%5Csum%20x%7D%7Bn%7D-a%5Cfrac%7B%5Csum%20x%5E2%7D%7Bn%7D)
Where,
![\sum xx=\sum x^2-\dfrac{(\sum x)^2}{n}](https://tex.z-dn.net/?f=%5Csum%20xx%3D%5Csum%20x%5E2-%5Cdfrac%7B%28%5Csum%20x%29%5E2%7D%7Bn%7D)
![\sum xy=\sum xy-\dfrac{\sum x\sum y}{n}](https://tex.z-dn.net/?f=%5Csum%20xy%3D%5Csum%20xy-%5Cdfrac%7B%5Csum%20x%5Csum%20y%7D%7Bn%7D)
![\sum xx^2=\sum x^3-\dfrac{\sum x\sum x^2}{n}](https://tex.z-dn.net/?f=%5Csum%20xx%5E2%3D%5Csum%20x%5E3-%5Cdfrac%7B%5Csum%20x%5Csum%20x%5E2%7D%7Bn%7D)
![\sum x^2y=\sum x^2y-\dfrac{\sum x^2\sum y}{n}](https://tex.z-dn.net/?f=%5Csum%20x%5E2y%3D%5Csum%20x%5E2y-%5Cdfrac%7B%5Csum%20x%5E2%5Csum%20y%7D%7Bn%7D)
![\sum x^2x^2=\sum x^4-\dfrac{(\sum x^2)^2}{n}](https://tex.z-dn.net/?f=%5Csum%20x%5E2x%5E2%3D%5Csum%20x%5E4-%5Cdfrac%7B%28%5Csum%20x%5E2%29%5E2%7D%7Bn%7D)
Putting the values from the table, we get the best fit line as,
![y= -0.0817x^2 + 102.24x - 20421](https://tex.z-dn.net/?f=y%3D%20-0.0817x%5E2%20%2B%20102.24x%20-%2020421)
As we want to calculate the profit at 350 pounds, so putting x=350, we get
![y= -0.0817(350)^2 + 102.24(350) - 20421=\$5354.75](https://tex.z-dn.net/?f=y%3D%20-0.0817%28350%29%5E2%20%2B%20102.24%28350%29%20-%2020421%3D%5C%245354.75)
This looks confusing as if it were content from another external generator. Can you try reposting this? I apologise.
Answer:
Dude go and sleep, after waking up you will automatically get the answer.
believe me......
Hey!
So, the denominator tells us how many pieces there are in the pizza. (4)
4 × 1 = 4 --- That's not enough for 11 people, if each person is supposed to get 1 slice.
4 × 2 = 8 --- Still Not Enough.
4 × 3 = 12 --- This is more than enough. 11 people can each have 1 slice.
So, your answer is: Cyrus should order 3 pizzas.