Answer:
Janice converted a mixed number to the wrong improper fraction.
Step-by-step explanation:
1 batch of stew uses 1 and 2/3 lb meat
Total amount of meat used - 10 and 5/6 lb
x = number of stew batches made
To get number of batches made, divide total meat used by the amount of meat each batch requires:
x = 10 5/6 ÷ 1 2/3
convert mixed fractions to improper fractions:
x = (10x6+5)/6 ÷ (1x3+2)/3
x = 65/6 ÷ 5/3
The fraction in bold numbers is where Janice got it wrong. She changed 1 2/3 to 5/2. (From the question: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves). 1 2/3 converted to an improper fraction is 5/3. From this point going forward, the calculations are wrong.
Recall the binomial theorem.
1. The binomial expansion of 
is
Observe that
When we multiply these by 
,
• 
and 
combine to make 
• 
and 
combine to make 
and the sum of these terms is
2. The binomial expansion is
We get the 
term when 
:
Because the triangle is a right angle, the hypotenuse is the square root of the sum of the legs squared or the square root of (20 ^2 + 15^2) or 25. The distance wayne computed was the distance from Ferris to Dunlap or 15 plus the distance from Dunlap to Butte or 20 or 35 miles all together. The difference of 35 and 25 is 10
Let's set it up like this:
Find the LCD, which is 12, and adjust them according to that.
Divide.
Cancel the common factor, which is 12.
That would be our answer!
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
