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Solution A is an 80% acid solution. Solution B is a 30% acid solution.

(a) How many mL of Solution A must be added to 500 mL of Solution B in order to produce a 70% acid solution?

(b) How many mL of Solution A and how many mL of Solution B must be combined to form a 100 mL solution that is 50% acid?

(c) Is there a combination of Solution A and Solution B that is 90% acid?

Part a) 2,000 mL of solution A

Part b) 40 mL of solution A and 60 mL of solution B

Part c) Is not possible

Step-by-step explanation:

Part a) How many mL of Solution A must be added to 500 mL of Solution B in order to produce a 70% acid solution?

Remember that

Let

x ---->mL of solution A n 80% acid solution

y ---->mL of solution B n 30% acid solution

we know that

Remember that

----> equation B

substitute equation B in equation A

solve for x

Part b) How many mL of Solution A and how many mL of Solution B must be combined to form a 100 mL solution that is 50% acid?

Remember that

Let

x ---->mL of solution A n 80% acid solution

y ---->mL of solution B n 30% acid solution

we know that

----> equation A

-----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is (40,60)

see the attached figure

therefore

40 mL of solution A and 60 mL of solution B

Part c) Is there a combination of Solution A and Solution B that is 90% acid?

Is not possible , because 90% is greater than 80% of solution A and greater than 30% of solution B

The percentage of the final concentration must be less than 80% and more than 30%

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!