Answer:
7⅓
Step-by-step explanation:
2 ÷ 3⁄11 → 2 × 3⅔ >> 7⅓
Dividing by a fraction is the exact same as multiplying by its multiplicative inverse.
* 3⅔ = 11⁄3
* 7⅓ = 22⁄3
I am joyous to assist you anytime.
Answer:
The unit vector u is (-5/√29) i - (2/√29) j
Step-by-step explanation:
* Lets revise the meaning of unit vector
- The unit vector is the vector ÷ the magnitude of the vector
- If the vector w = xi + yj
- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w
- The unit vector u in the direction of w is u = w/IwI
- The unit vector u = (xi + yj)/√(x² + y²)
- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j
* Now lets solve the problem
∵ v = -5i - 2j
∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29
- The unit vector u = v/IvI
∴ u = (-5i - 2j)/√29 ⇒ spilt the terms
∴ u = (-5/√29) i - (2/√29) j
* The unit vector u is (-5/√29) i - (2/√29) j
Answer:

Step-by-step explanation:
So we have the equation:

First, distribute the left side:

Add values on the left side:

Add 7 to both sides. The right side cancels:

Subtract 2x from both sides. The left side cancels:

Divide both sides by -6:

Therefore, x equals -3.
Answer:
Step-by-step explanation:
<u>Item 1:</u>
Discount = Original price - discount price
= 22.50 - 13.50
= $ 9
Discount percentage = 
= 40%
Discount percentage = 40%
Tax = 14.31 - 13.50 = $0.81
Tax% =
= 6%
Tax percentage = 6%
<u>Item 2:</u>
Tax = 6% of 16.20
= 0.06 * 16.20
= 0.972
Tax = $ 0.97
Total price (including tax )= 16.20 + 0.97 = $ 17.17
x = $ 17.17
<u>Item 3:</u>
Discount = 40% of 32.50
= 0.4 * 32.50
= $ 13
y = 32.50 -13
y = $ 19. 50
Tax = 6% of 19.50
= 0.06 * 19.50
= 1.17
z = 1.17 + 19.50
Z =$ 20.67