Rationalize the numerator:

This is continuous at
, so we can evaluate the limit directly by substitution:

Answer:


Step-by-step explanation:
It is given that the snack shop makes 3 mixes of nuts in the following proportions.
Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.
Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.
Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.
they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.
We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.
Mix I Mix II Mix III
peanuts 6 5 3
cashews 2 3 4
pecans 2 2 2


The product of both matrices is



Therefore matrix AB gives the total number of lbs of each nut required to fill the order.
Answer:
40 oz of sugar
Step-by-step explanation:
1) you have the basic measurement for 36 fluid ounces of lemonade, now imagine how many time can 36 go into 180 in order to find how many sugar oz you will need
180/36= 3
This mean 180 is 5 times as much lemonade and you will need 5 times as much sugar.
8ounces of sugar x 5 = 40ounces of sugar to make 180fluid ounces of lemonade
If you divide 8 by 4, it comes to 2
If you divide 12 by 2, it comes to 3
That fraction is 2/3
The Fraction 10/15 is equal to 2/3 because...
If you divide 10 by 5, it comes to 2
If you divide 15 by 5, it comes to 3