In the lab, Alonzo has two solutions that contain alcohol and is mixing them with each other. Solution A is 6% alcohol and Solution B is 20% alcohol. He uses 500 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 10% alcohol solution?

200 mL

Step-by-step explanation:

If x is the volume of solution B:

0.06 (500) + 0.20 x = 0.10 (500 + x)

30 + 0.20 x = 50 + 0.10 x

0.10 x = 20

x = 200

He used 200 milliliters of Solution B.

Step-by-step explanation:

Let x represent the volume of solution B that he uses.

Alonzo has two solutions that contain alcohol and is mixing them with each other. Solution A is 6% alcohol and Solution B is 20% alcohol. If he uses 500 milliliters of Solution A and x milliliters of Solution B, then the total volume of the mixture would be (500 + x) milliliters. If the resulting mixture is a 10% alcohol solution, the expression becomes

(6/100 × 500) + (20/100 × x) = (10/100 × (500 + x))

30 + 0.2x = 0.1(500 + x)

30 + 0.2x = 50 + 0.1x

0.2x - 0.1x = 50 - 30

0.1x = 20

x = 20/0.1

x = 200

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

answer: kljdcdhjbdlchjad oac apoich a

step-by-step explanation: