Frankie and Gus swam for 10 minutes. When the time was up, Frankie had completed 10 7/10 laps and Gus had completed 10 4/5 laps. Frankie wrote the inequality 10 7/10>10 4/5 to show who swam the longest distance. Was he correct? Explain your answer by describing where the numbers would be positioned on a number line.

No he was not correct

Step-by-step explanation:

10 7/1010 4/5

Rewriting these inputs as fractions:

10 7/1010 4/5

107/1054/5

The least common denominator (LCD) is: 10.

Rewriting as equivalent fractions with the LCD:

10 7/1010 4/5

107/10108/10

Comparing the numerators of the equivalent fractions we have:

10 7/10  10 4/5

107/10<108/10

Therefore, comparison shows:

10 7/10 < 10 4/5

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions