Answer:
2/5
Step-by-step explanation:
The desired ratio is ...
(part-time)/(total) = (part-time)/((part-time) +(full-time)) = 12/(12+18)
= 12/30 = 2/5
The ratio of part-time workers to total workers is 2 : 5.
Answer:
138 3/8
Step-by-step explanation:
total shampoo used for 555 dogs = 1/4 x 555 = 138 3/8 bottles
Answer:
Thank god im virtual
Step-by-step explanation:
Answer:
<em>π/2 and π/3</em>
Step-by-step explanation:
Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.
let P = cosx
The equation becomes 2P²-P = 0
P(2P-1) = 0
P = 0 and 2P-1 = 0
P= 0 and P = 1/2
Since P = cosx
cosx = 0 and cos(x) = 1/2
If cos(x) = 0
x = cos⁻¹0
x = 90⁰
x = π/2
If cos(x) = 1/2
x = cos⁻¹1/2
x = 60⁰
x = π/3
<em>Hence the solutions to the equation are π/2 and π/3.</em>
Answer:
x = 3
Step-by-step explanation:
-6x - 20 = -2x + 4 (1 - 3x)
Distributive property
-6x - 20 = -2x + 4 - 12x
Combine like terms
-6x - 20 = -14x + 4
Add 14x to both sides
-6x - 20 + 14x = -14x + 4 + 14x
Simplifying
8x - 20 = 4
Add 20 to both sides
8x = 24
Divide both sides by 8
x = 3
