Answer:
21 liters of the 12% solution and 4 liters of the 37% solution
Step-by-step explanation:
Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:
0.12x+0.37y = 4
x + y = 25
Multiplying the bottom equation by 0.12, we have
0.12x + 0.12y = 3
Subtracting, we have
0.12x+0.37y=4
-
0.12x + 0.12y = 3
= 0.25y = 1
= y = 4
= x = 25 - 4 = 21
Answer:
11.81 minutes
Step-by-step explanation:
Here is a simple step-by-step explaination of how to solve this word problem:
Since the truck has 2,400L in it to begin with, the first part of our equation will be 2,400L
Next we know that the water in the truck decreases at a <u>rate</u> of 110L/min, or <u>Liters per minute</u>.
So we will put that in the equation:
Now that we have our equation set up, its time to solve.
To figure out how much water it needs to lose in <u>total</u> to end up with 1100 L left, we subtract 1,100 from 2,400.
Now we can take that number and divide it by how many liters per minute were lost.
So the total amount of time it took for the truck to have 1,100 L left is 11.81 minutes. Your answer would be
B. 
min
Hope this helps! : )
Answer:
2:15 PM
Step-by-step explanation:
When the plane arrives in Seattle, the time in eastern time period would be 5:15 PM. From eastern to pacific, the time goes back 3 hours. 5:15 - 3 hours is 2:15. Since the time is still in the afternoon, it is still PM.
The answer is -4x+64+2x^2
Answer:
x + y = 4
Step-by-step explanation:
Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.
Now, (x + iy)(1 - 3i) = 10
⇒ x(1 - 3i) + iy(1 - 3i) = 10
⇒ x - 3xi + iy - 3yi² = 10
⇒ (x + 3y) + i(y - 3x) = 10
Now, comparing the real and imaginary part of both sides we get,
(x + 3y) = 10 ............. (1) and
y - 3x = 0
⇒ y = 3x ............... (2)
Solving equations (1) and (2) we get
x + 3(3x) = 10
⇒ x = 1
So, y = 3x = 3
Therefore, x + y = 1 + 3 = 4 (Answer)
