Let a be the amount needed of 70% pure antifreeze, and let b be the amount needed of 95% pure antifreeze.
0.7a + 0.95b = 180 * 0.9 .........(1)
a + b = 180 .............................(2)
b = 180 - a ..............................(3)
Plugging the expression for b in equation (3) into equation (1), we get:
0.7a + 0.95(180 - a) = 162 ......(4)
Solving equation (4) gives the value a = 36, and plugging this value for a into equation (2) we get b = 144.
Amounts needed are therefore 36 gallons of 70% pure antifreeze and 144 gallons of 95% pure antifreeze.
Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached images below, to find more information about the graph
The equation is:
f(x) = x^4 – 2x^3 + 5x^2 – 7x + 9
The equation has only complex roots.
Answer:
<em>(6pi + 10) m^2</em>
Step-by-step explanation:
The bottom right part is a rectangle, 2 m by 5 m.
A = 2 m * 5 m = 10 m^2
The curved part is a larger semicircle with an inner semicircle missing.
We find the area of the larger semicircle and subtract from it the area of the smaller semicircle.
Larger semicircle: radius = 4 m
area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(4 m)^2 = 8pi m^2
Smaller semicircle: radius = 2 m
area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(2 m)^2 = 2pi m^2
Area of circular part: 8pi m^2 - 2pi m^2 = 6pi m^2
Total area: 6pi m^2 + 10 m^2 = (6pi + 10) m^2
The correct notation is: x ∈ [-1, 1]
3 servings.
just want to tell you that you can write fractions using / so instead of writing 5 over 6 you can write it 5/6. You probs already knew that but just to make sure you know.