Answer:
2/3
all you have to do is make 1 1/4 an improper fraction and then use the keep change flip method.
Answer: Option 'B' is correct.
Step-by-step explanation:
Number of pounds of candy = 30
Cost per pound = $1.10
Total amount would be
Let the number of pound that sold at $1.50 per pound be 'x'.
Let the number of pound that sold at 90 cents per pound be '30-x.
According to question, we get that
Hence, there are 10 pounds of chocolates worth $1.50 per pound.
Therefore, Option 'B' is correct.
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
Answer:69
Step-by-step explanation:
