Solve the equation. 1/2x+1/4x=16 (1 point) Responses 16 16 21.3 21.3 32 32 64

Answer 1

To solve the equation 1/2x + 1/4x = 16, we need to combine the fractions on the left-hand side of the equation.

Since the denominators of the fractions are not the same, we need to find a common denominator. The least common denominator for 2 and 4 is 4 (2*2 = 4), so we can rewrite the equation as:

2/4 * x + 1/4 * x = 16

Now we can combine the fractions:

(2/4 + 1/4) * x = 16

3/4 * x = 16

Next, we can solve for x by multiplying both sides of the equation by 4/3 (the reciprocal of 3/4):

(4/3)*(3/4) * x = 16 * (4/3)

1 * x = 64/3

x = 64/3 or approximately 21.3 (rounded to two decimal places).

Therefore, the correct response is 21.3.