SOLUTION: my number is 25.3 divided by a number with 1 decimal digit it gives me a quotient greater than 10 but less than 11 what is my number?
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-> SOLUTION: my number is 25.3 divided by a number with 1 decimal digit it gives me a quotient greater than 10 but less than 11 what is my number?
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Question 1204109: my number is 25.3 divided by a number with 1 decimal digit it gives me a quotient greater than 10 but less than 11 what is my number? Found 3 solutions by math_tutor2020, greenestamps, Edwin McCravy:Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!
x = the number you are dividing over
It must be a positive number so that is between the two positive numbers 10 and 11.
Multiply all three sides by x. Multiplying all sides by a positive number does not flip the inequality signs.
That last inequality breaks down into these two inequalities and
Solve to get
Solve to get aka
We found that and .
Glue those together to get
Here's a table of examples
x
(25.3)/x
Result greater than 10 but less than 11?
2.28
11.0965
no
2.3
11
no
2.32
10.9052
yes
2.34
10.812
yes
2.36
10.7203
yes
2.38
10.6303
yes
2.4
10.5417
yes
2.42
10.4545
yes
2.44
10.3689
yes
2.46
10.2846
yes
2.48
10.2016
yes
2.5
10.12
yes
2.52
10.0397
yes
2.54
9.9606
no
With the exception of the results 11 and 10.12, each of the values in the 2nd column are approximate.
If we rounded to one decimal place, then the only possible x solutions would be: x = 2.4 and x = 2.5
x = 2.3 doesn't work since becomes and then simplifies to which is false.
But x = 2.4 does work becomes and then simplifies to which is true
x = 2.5 also works as well becomes and then simplifies to which is true.
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