Ascientist has two solutions, which she has labeled solution a and solution b. each contains salt. she knows that solution a is 70 % salt and solution b is 95 % salt. she wants to obtain 80 ounces of a mixture that is 80 % salt. how many ounces of each solution should she use?

Let x represent the number of ounces of 95% salt she should use.

Then the total amount of salt in the 80 ounces of solution is ...

... 0.95x + 0.70(80-x) = 0.80·80

... 0.25x = 64 -56 . . . . . . . collect terms, subtract 56

... x = 8·4 = 32 . . . . . . . . . . multiply by 4

She should use 32 ounces of 95% salt and (80-32=) 48 ounces of 70% salt,

too hard the other guy did it

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.