Answer:
1 oz
Step-by-step explanation:
Given that:
% solution of super grow fertilizer = 10%
To obtain mixture of 36oz of a 12.5% concentration
Let oz of pure supergrowth to be added = s
(Initial % * (36 - s) + s) / 36 = target concentration
(10% * (36 - s) + s) / 36 = 12.5%
(0.1(36 - s) + s) / 36 = 0.125
Cross multiply:
0.1(36 - s) + s =. 0.125 * 36
3.6 - 0.1s + s = 4.5
3.6 + 0.9s = 4.5
0.9s = 4.5 - 3.6
0.9s = 0.9
s =. 0.9/0.9
s = 1
Hence, 1 oz of pure supergrowth should be added to the 10% solution to get 36 oz of a 12.5% concentration.
Answer:
Area: , Perimeter:
Step-by-step explanation:
a)
We know that for any rectangle the area is , where is the length and is the width.
Because the width is and the length is , the area is or .
b)
We know that for any rectangle the perimeter is , where is the length and is the width.
Because the width is and the length is , the perimeter is .
So, the answers are
Answer: 10
Step-by-step explanation:
When is subtracted from we get . That can be expressed:
.
Solving that gives the following value.
Now there is , and it is possible to find .
Substitute and calculate the solution.
.
Answer:
b=2.5
Step-by-step explanation:
The given line has equation:
The x-intercept is (b,0)
The y-intercept is (0,b)
The area of triangle QOP
The area of triangle QRS
The area of triangle QRS and QOP are in the ratio 9:25
We must negate the area under the x-axis.
But 0<b<4
Therefore b=2.5
VERIFY
The area of triangle QOP
The area of triangle QRS
We must take absolute value because this area is below the x-axis.