Part A
Her steps were
Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.
The third step should look like 
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Part B
Here's what she should have written
If you want to convert that improper fraction to a mixed number, then you could do something like this
Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.
The area of a circle is the size of the 2-dimensional space inside the circle's
closed curved boundary.
The area can be calculated in terms of known linear measurements of the circle:
-- Area = (π) x (radius)²
-- Area = (π/4) x (diameter)²
-- Area = (1/2) x (circumference) x (radius)
-- Area = (1/4) x (circumference) x (diameter)
Any of these formulas will give you the area. The one you decide to use
just depends on what you already know about the circle.
Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:
The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:
So, we have the following system
If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?
I am going to write y as a function of x in 1), and replace in 2). So:
means that 
Now, going back to 1:
He should plant 100 acres of corn and 400 acres of wheat.
Answer:
c is the correct anser your welcome.
Answer:
1287
Step-by-step explanation:
Number of people in elevator , n = 8
Number of floors, r = 6
Since they all look alike, arrangement doesn't matter, the we use combination :
(n+r-1 r - 1) = (8+6-1 C 6-1) = 13C5
Recall:
nCr = n! / (n-r)!r!
13C5 = 13! / (13-5)!5!
13C5 = 13*12*11*10*9 / 5*4*3*2*1
= 1287
