Achemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. the table shows the amount of each solution used. what is the value of x, the acid concentration of the first solution? 0.05 0.10 0.15 0.20 mark this and return

Given that amount of first acid solution = 4 liters

Let concentration of the first acid solution = x

then effective amount of first solution = 4x

Given that amount of second  acid solution = 10 liters

Givn that concentration of the second acid solution = 40% = 0.4

then effective amount of second solution = 0.4(10)

Then amount of resulting acid solution = (4+10) liters

Givn that concentration of the resulting acid solution = 30% = 0.3

then effective amount of resulting solution = 0.3(4+10)

Combining all those results gives equation

4x +0.4(10) = 0.3(4+10)

4x +4 = 0.3(14)

4x +4 = 4.2

4x = 0.2

x=0.05

Hence final answer is 0.05 or you can say 5%.

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .