170 - 7m > 99
170 > 7m + 99
71 > 7m
71/7 > m
10 1/7 > m
126 liters of pure water should be added
<em><u>Solution:</u></em>
Let "x" be the liters of pure water
Then, 18 + x is the liters of final solution
18 Liter solution of 80% acid, which means 100 - 80 = 20 % of water is used
Pure water is 100%
Then according to question, we can say,
"x" liters of pure water 100 % is mixed with a 18 liter solution of 20 % water to produce a mixture (18 + x) liter that is 90 % water
Thus we frame a equation as:
Equation:
water + water = water
Thus 126 liters of pure water should be added
Answer:
OPTION B) 2ab
Step-by-step explanation:
Given:
Side of larger square = (a + b) units
Side of smaller square = c units
To Find:
The area of all four triangles combined = ?
Solution:
a^2 + b^2 = c^2 (Pythagoras theorem) -(1)
The area of all four triangles combined = Area of larger square - Area of smaller square
The area of all four triangles combined = (a + b)^2 - c^2
The area of all four triangles combined = a^2 + b^2 + 2ab - (a^2 + b^2) {By (1)}
The area of all four triangles combined = a^2 + b^2 + 2ab - a^2 - b^2
The area of all four triangles combined = a^2 - a^2 + b^2 - b^2 + 2ab
Therefore, The area of all four triangles combined = 2ab sq. units
OPTION B) 2ab
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