Answer:
28 l of 80%
42 l of 30%
Step-by-step explanation:
Target is 70 l of 50% solution
It will contain 70*0.5= 35 l of alcohol
x l of 80% solution and y l of 30% solution mixed to get the target solution
x+y=70 is the equation for total volume, and
0.8x+0.3y= 35 is the equation for the alcohol content. Solving this:
- y= 70-x
- 0.8x+0.3*(70-x) = 35
- 0.8x+21- 0.3x= 35
- 0.5x= 35-21
- 0.5 x= 14
- x= 14/0.5
- x=28 l of 80% solution
then
- y= 70-x= 70 -28 l= 42 l of 30% solution
Answer:
x2ˣ + 2ˣ
Step-by-step explanation:
<u>Points to remember</u>
(f * g)(x) = f(x) * g(x)
It is given that, f(x)= 2ˣ and g(x)=x+1
<u>To find the value of (f * g)(x) </u>
Let f(x)= 2ˣ and g(x) = x + 1
(f * g)(x) = f(x) * g(x)
= (2ˣ )* (x + 1)
= (2ˣ * x) + ( 2ˣ * 1)
= x2ˣ + 2ˣ
You just combine like terms so it'll be 5x^43
Step-by-step explanation:
the total area = the area of full circle + the area of parallelogram = (π ×(8/2)²) + (28×7)
= (3,14 ×16)+(196)
= 50,24 +196
= 246,24
= 246,2