Answer:
Instrumental understanding – having a mathematical rule and being able to apply and manipulate it. Relational understanding – having a mathematical rule, knowing how to use it AND knowing why it works.
Step-by-step explanation:
Instrumental understanding involves “memorising which problems a method works for and which not, and also learning a different method for each new class of problems” (Skemp 1987, p. 159), is a desire to know “some kind of rule for getting the answer” (p. 155) so that a student can “latch on it and ignore the rest”
Answer:
2.925925926 or 2.9
Step-by-step explanation:
23.7/8.1
= 2.925925926 or approximately 2.9
The final price of the item is $22,644
The initial discount of 10% leaves the price at 90% of the retail value:

cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:

cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644
Answer: We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.
We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.
Step-by-step explanation:
Given: A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice.
Since, for recipe of sparkling grape juice , they should be used in same proportion.
Let x be the amount of sparkling water need to mix with 9 quarts of grape juice, then

We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.
Let y be the amount of grape juice need to mix with 3.75 quarts of sparkling water, then

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.
Answer:
F'(x)=4x3+16x
Step-by-step explanation: