Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
Step-by-step explanation:
a/q
x + x - 3 + 2x - 9 = 36
4x - 12 = 36
4x = 36 + 12 = 48
x = 48/4 = 12
x = 12
so,
x = 12
x - 3 = 12 - 3 = 9
2x - 9 = 2(12) - 9 = 15
we know,
area = 1/2 × base × height
so,
→ 1/2 × 12 × 9
→ 1 × 6 × 9
→ 54 inches.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Answer
Solution:
p = 79
n = 52
Step-by-step explanation:
Given equations:
A) 
B) 
To solve for 
and 
Naming the first equation as A and second as B.
Using elimination method to solve.
In order to eliminate we subtract equation A from B.
Subtracting A from B i.e [
(B)
- (A)
We get, 
Dividing both sides 2.26.
∴ 
We can solve for by substituting in equation A.
Subtracting both sides by 52.
∴ 
Answer:
18 red tiles
Step-by-step explanation:
One way to look at this problem would be to take the number of tiles that Jaclyn used to get a possibility of 40% hits.
Jaclyn put 12 green tiles, this represents the 40% of the hits that she could get.
Now we know that 12 = 40%
We need to find how many red tiles she should put to still keep the 12 green tiles as 40%. We can also assume that 12 red tiles would be another 40%.
So we have 12 red tiles currently.
Now we still have another 20% left.
Since 12 red tiles = 40%, we can assume that:
6 red tiles = 20% of the total.
So if we add both the 40% red tiles to the 20% red tiles we get:
12 + 6 = 18 red tiles.
So Jaclyn will have to put 18 red tiles and 12 green tiles to simulate her chances of getting a hit.
