Let X = the 29% alloy and Y = the 60% alloy.
They want a total of 80kg, so you have X +Y = 80
Rewrite that to get X = 80-Y
You also want 0.20X + 0.60Y = 0.52(80)
Replace X with 80-y:
0.20(80-y) + 0.60y = 0.52(80)
Simplify:
16 - 0.20y + 0.60y = 41.6
Combine like terms:
16 +0.40y = 41.6
Subtract 16 from each side:
0.40y = 25.6
Divide both sides by 0.40
y = 25.6 / 0.40
y = 64
Now you have Y replace y with 80 in X = 80-Y
X = 80 - 64
X = 16
They need 64 Kg of the 60% alloy and 16 Kg of the 20% alloy.
3-(2x-5)=-4(x+2)
We simplify the equation to the form, which is simple to understand
3-(2x-5)=-4(x+2)
Remove unnecessary parentheses
3-2x+5=-4*(x+2)
Reorder the terms in parentheses
3-2x+5=+(-4x-8)
Remove unnecessary parentheses
+3-2x+5=-4x-8
We move all terms containing x to the left and all other terms to the right.
-2x+4x=-8-3-5
We simplify left and right side of the equation.
+2x=-16
We divide both sides of the equation by 2 to get x.
x=-8
Based on the number of people who chose the other fruits, the percentage of people who chose pears was <u>25%. </u>
<h3>Number of people who chose pears </h3>
= Number of participants - Number who chose apples - Number who chose oranges
= 60 - 28 - 17
= 15 people
<h3>Percentage who chose pears </h3>
= Number of people who chose pears / Total number of people x 100%
= 15 / 60 x 100%
= 25%
In conclusion, 25% chose pears.
Find out more on percentages at brainly.com/question/13516343.
Answer:
total students = 40probability of selecting a student from art club= 12/40= 3/10
Step-by-step explanation: because am big math
Answer:
Part a) The equation for the volume of the film canister is
Part b) The radius of the film canister is 
Step-by-step explanation:
<u><em>The complete question is</em></u>
A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.
a. Write an equation for the volume of the film canister.
b. What is the radius of the film canister?
Part a) Write an equation for the volume of the film canister
we know that
The volume of a cylinder is equal to

where
r is the radius of the circular base
h is the height of the cylinder
we have


substitute
----> equation for the volume of the film canister
Part b) What is the radius of the film canister?
we have


Simplify
Divide by 8π both sides

square root both sides
