Solution A is an $80\%$ acid solution. Solution B is a $30\%$ acid solution. (a) Find the amount of Solution A (in mL) that must be added to $500$ mL of Solution B in order to produce a $70\%$ acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a $100$ mL solution that is $50\%$ acid. (c) Does there exist a combination of Solution A and Solution B that is $90\%$ acid

(a) (b) (c)NO

Step-by-step explanation:

GIVEN: Solution A is an acid solution. Solution B is a acid solution.

TO FIND: (a) Find the amount of Solution A (in mL) that must be added to of Solution B in order to produce a acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a solution that is acid. (c) Does there exist a combination of Solution A and Solution B that is acid.

SOLUTION:

(a)

Let total amount of solution A added be

Total amount of mixture

As resulting solution is   acid solution.

Amount of acid in final solution is sum of acid in both solutions

(b)

Let amount of Solution A be

Amount of solution B

As resulting solution is acidic solution

Amount of acid in final solution is sum of acid in both solutions

Amount of solution B

(c)

No as concentration of final solution can not be greater than one with higher concentration.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632