Step-by-step explanation:
x² - 2 = 2^(2/3) + 2^(-2/3)
x² = 2^(2/3) + 2 + 2^(-2/3)
x² = (2^(1/3))² + 2 × 2^(1/3) × 2^(-1/3) +
(2^(-1/3))² (It is in the form of a²+2ab+b²)
x² = (2^(1/3) + 2^(-1/3))²
x = 2^(1/3) + 2^(-1/3)
Answer:
9,450
Step-by-step explanation:
10 cant go into the others because they end with a 5
Answer:
7.30
Step-by-step explanation:
You take 7 and then do 3/10 which is .30
You put them together and get 7.30
Hoped that helped!
Cost of walnuts = 45 cents per pound
Weight of walnuts in mixture = x pounds
So, total cost of walnuts in the mixture = 45x
This gives the cost in cents. The cost in dollars will be = 0.45x
Cost of pecans = 60 cents per pound
Since total weight of the mixture is 90 pounds. The weight of pecans in the mixture will be (90 - x) pounds.
So, total cost of pecans in the mixture will be = 60 (90 - x)
This gives the cost in cents, the cost in dollars will be = 0.6 (90 - x)
x pounds of walunts and (90-x) pounds of pecans are mixed to produce a mixture to sell at 55 cents per pound. So,we can set up the equation for this case as:
Cost of Walnuts + Cost of Pecans = Cost of Mixture
Using this equation, we can find the weight of walnuts, using x we can also find the weight of pecans. From weights we can then calculate the cost of walnuts and pecans used in the mixture.