Which value for x makes the sentence true? 1/40 + x = 1/10
To make the sentence true, we need to find the value of x that satisfies the equation 1/40 + x = 1/10.
To solve this equation, we can start by simplifying both sides. The left side of the equation can be simplified by finding a common denominator for 1/40 and 1/10. The common denominator is 40, so we can rewrite the equation as (1 + 40x)/40 = 1/10.
Now we can cross-multiply to eliminate the denominators. Multiplying both sides of the equation by 40 gives us 1 + 40x = 40/10.
Simplifying further gives us 1 + 40x = 4.
To isolate x, we subtract 1 from both sides of the equation: 40x = 4 - 1 = 3.
Finally, dividing both sides by 40 gives us x = 3/40.
Therefore, the value for x that makes the sentence true is 3/40.