50 ounces of 15% saline solution contains 0.15*50 = 7.5 ounces of salt.
Let x be the amount of pure water you add to this solution. Then you end up with (x + 50) ounces of this new solution. The amount of salt stays the same.
You want the new solution to have a concentration of 10%. This means you need
7.5 / (x + 50) = 0.1
==> 7.5 = 0.1(x + 50)
==> 7.5 = 0.1x + 5
==> 2.5 = 0.1x
==> 2.5/0.1 = 0.1x/0.1
==> x = 25
Answer:
The answers are A, B, C, F
Answer:
He performed better in the 800 m race
Step-by-step explanation:
Obtain the standardized score for each event :
Zscore = (score - mean) / standard deviation
1000 meter :
Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1
Zscore = (4.1 - 4.5) / 0.75
Zscore = - 0.4 / 0.75 = - 0.5333
800 meter :
Mean = 3.2 ; Standard deviation = 0.4 ; x = 3
Zscore = (3 - 3.2) / 0.4
Zscore = - 0.2 / 0.4 = - 0.5
-0.5 > - 0.533
Hence, he performed better in the 800 m race
Answer:
The solutions are
and 
Step-by-step explanation:
we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.


Rewrite as perfect squares


square root both sides





Answer:
x^2 - 6x + 8 x - 2
x
0 8 -2
1 3 -1
2 0 0
3 -1 1
4 0 2
5 3 3
The solutions are in red ⇒ x = 2 and x = 5