Let us say that:
x = mass of 10% titanium alloy required
y = mass of 20% titanium alloy required
To solve this problem, we set-up two mass balances or
equations.
Overall mass balance: x
+ y = 100
x
= 100 – y ---> 1
Titanium mass balance: 0.10 x + 0.20 y = 0.17 (100)
0.10
x + 0.20 y = 17 ---> 2
Now we combine equations 1 and 2:
0.10 (100 – y) + 0.20 y = 17
10 – 0.10 y + 0.20 y = 17
0.10 y = 7
y = 70 g
Calculating for x using equation 1:
x = 100 – y
x = 100 – 70
x = 30 g
Answer:
x = 30 g of 10% titanium alloy required
y = 70 g <span>of 20% titanium alloy required</span>
Answer:
The answer to your question is There were 59/168 muffins left.
Step-by-step explanation:
Data
Initial amount of muffins = 1
Amount of muffins given to his neighbors = 11/21
Amount of muffins eaten = 1/8
Amount of muffins left = ?
Process
1.- Subtract the amount of muffins given to the neighbors and the amount of muffins eaten to the initial amount of muffins.
1 - 11/21 - 1/8 =
-Look for the greatest common factor
21 8 2
21 4 2
21 2 2
21 1 3
7 7
1
GCF = 2 x 2 x 2 x 3 x 7
= 168
-Solve the arithmetical operation
1 - 11/21 - 1/8 = (168 - 88 - 21) / 168
= 59/168
-Conclusion
There were 59/168 muffins left.
Answer:
your answer will be 47000
Answer:
5.2 inches
Step-by-step explanation:
Let a be the side of the square poster.
The area of it is:
● A = a^2
● 27 = a^2
● a = √27
● a = √(9×3)
● a = 3√3
● a = 5.19
Round it to the nearest tenth
● a = 5.2 inches