A) 4a - 3b + 2c
4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =
= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)
Answer: (6, - 5, 26)
b) magnitude of vector b
c) vector of length 7 parallel to vector c
=> m(5,4,0) = (5m,4m,0)
=>
=> m = 7 / √41 ≈ 1.093
=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)
Answer: (5.465 , 4.372 , 0)
Answer:
12 servings
Step-by-step explanation:
Luke's turkey chili recipe calls for 2.5 pounds of ground turkey for every 5 servings. How many servings can he make if he has 6 pounds of ground turkey?
From above question:
2.5 pounds of ground turkey = 5 servings
6 pounds of ground turkey = x
Cross Multiply
2.5 × x = 6 × 5
x = 6 × 5/2.5
x = 12 servings
Hence, 6 pounds of ground turkey can make 12 servings.
Completing the explanation.
The equation is
5x = 2.5y
where:
x = represent how many pounds of ground turkey he has = 6 pounds
y = to represent how many servings he can make
Hence,
5 × 6 = 2.5y
y = 5 × 6/2.5
y = 12 servings
Answer: Commission rate = $30.72
Step-by-step explanation: For this problem we want to find the commission rate for sales that are a total of $768. The commission rate is 4%.
Convert 4% to a decimal. 4/100 = 0.04.
Now, multiply the sales by the decimal 0.04 to find the commission rate.
768 x 0.04 = 30.72, or $30.72 for the commission rate.
Answer: $38.50
Step-by-step explanation: Find 70% of $55.
Answer:
87
Step-by-step explanation:
Given is a figure of cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
z° + 93° = 180°
z° = 180° - 93°
z° = 87°
z = 87
