Achemist needs 30 liters of 25% acid solution. she has containers of 10% solution and 30% solution.

how many liters of each should she combine to get the needed solution?

if necessary, express your answer in decimals, and round to the nearest tenth.

x = amount (in liters) of the 10% solution she should use

y = amount of the 30% solution she should use

She wants a 30L solution, so

x + y = 30

Each liter of the 10% solution contributes 0.1x liters of acid, and each liter of the 30% solution contributes 0.3y liters of acid. 30L of 25% acid solution contains 30L*0.25 = 7.5L of acid, so

0.1x + 0.3y = 7.5

Now solve for x and y:

x + y = 30  ==>  y = 30 - x

0.1x + 0.3y = 7.5  ==>  0.1x + 0.3(30 - x) = 7.5

...  ==>  0.1x + 9 - 0.3x = 7.5

...  ==>  1.5 = 0.2x

...  ==>  x = 7.5  ==>  y = 22.5

table 1

step-by-step explanation:

1-16

2-32

4-64

8-128

all multiples of 16

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180