Which decimals make this true 4.95+ something = 12.1 7.15 or 7.85 or 8.15 or 8.85
The correct answer and explanation is:
The correct answer is 7.15.
Explanation:
The problem asks to find a decimal number that, when added to 4.95, gives a sum of 12.1.
To solve this, you simply subtract 4.95 from 12.1: 12.1−4.95=7.1512.1 – 4.95 = 7.15
So, the decimal that satisfies the equation 4.95 + something = 12.1 is 7.15.
Why this works:
When you’re solving an equation like this, you’re essentially looking for the missing value. In mathematical terms, the equation is written as: 4.95+x=12.14.95 + x = 12.1
To isolate xx, subtract 4.95 from both sides: x=12.1−4.95=7.15x = 12.1 – 4.95 = 7.15
The other numbers (7.85, 8.15, and 8.85) do not work because:
- 4.95 + 7.85 = 12.8, which is greater than 12.1.
- 4.95 + 8.15 = 13.1, which is also greater than 12.1.
- 4.95 + 8.85 = 13.8, which is again greater than 12.1.
Therefore, 7.15 is the only number that makes the equation true.