
______: 650 = 49 (ост. 199)


Ответы на вопрос

32049






To solve the equation ______: 650 = 49 (ост. 199), we need to fill in the blank.
Let's assume the blank is represented by the variable "x". The equation can then be written as:
x/650 = 49 (ост. 199)
The phrase "ост. 199" indicates that when x is divided by 650, the remainder is 199.
To solve for x, we can use the concept of remainders. We know that the remainder when x is divided by 650 is 199, which means x can be expressed as:
x = 650 * q + 199
where q is a non-negative integer.
Now, we can substitute this expression for x back into the equation:
(650 * q + 199)/650 = 49
Multiplying both sides of the equation by 650 to eliminate the denominator:
650 * q + 199 = 49 * 650
Simplifying the equation:
650 * q = 49 * 650 - 199
650 * q = 31801
Finally, solving for q:
q = 31801/650
q ≈ 48.93
Since q needs to be a non-negative integer, the closest non-negative integer to 48.93 is 49.
Therefore, the value of x that satisfies the equation ______: 650 = 49 (ост. 199) is:
x = 650 * 49 + 199 = 31849.


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