Solve the equation.
StartFraction 1 over 2 EndFraction x plus StartFraction 1 over 4 EndFraction x equals 16
(1 point)
Responses
16
16 - no response given
21.3
21.3 - no response given
32
32 - incorrect
64
To solve the equation, we need to combine the fractions on the left side of the equation:
1/2x + 1/4x = 16
Finding a common denominator, we can rewrite the equation as:
2/4x + 1/4x = 16
Now, we can add the fractions:
3/4x = 16
To isolate x, we can multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:
4/3 * 3/4x = 16 * 4/3
x = 64/3 or 21.3 (rounded to one decimal place)
Therefore, the correct answer is 21.3.
To solve the equation, we need to combine the two fractions on the left side and then solve for x.
The equation is:
1/2x + 1/4x = 16
To combine the fractions, we need to have a common denominator, which in this case is 4.
Multiplying the first fraction by 2/2 and the second fraction by 1/1, we get:
2/4x + 1/4x = 16
Now, we can add the fractions:
(2/4 + 1/4)x = 16
Simplifying the fraction:
(3/4)x = 16
To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:
(4/3)(3/4)x = (4/3)(16)
Simplifying:
1x = 64/3 or 21.3
Therefore, the solution to the equation is x = 64/3 or 21.3.