A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 180 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?

72 ounces of Solution A

108 ounces of Solution B

Step-by-step explanation:

If a is ounces of Solution A, and b is ounces of Solution B, then the total amount is:

a + b = 180

The total amount of salt is:

0.65a + 0.90b = 0.80(180)

Substitute:

0.65a + 0.90(180 − a) = 0.80(180)

0.65a + 162 − 0.90a = 144

0.25a = 18

a = 72

b = 108

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet