For his exercise today, Manuel plans to both run and swim. Let r be the number of laps he runs and lets be the number of laps he swims. Each lap he runs takes him 3 minutes, and each lap he swims takes him 2 minutes. He wants to exercise for more than 45 minutes today. Using the values and variables given, write an inequality describing this. =O0

The Inequality describing the situation is .

Step-by-step explanation:

Let the number of laps he runs be

Let the number of laps he swims be

Now Given:

Time required to run each lap = 3 min

Time required to swim each lap = 2 min

Total minutes he need to exercise more than 45

we need to write the Inequality representing the same.

Solution:

Now we can say that;

Time required to run each lap multiplied by the number of laps he runs plus Time required to swim each lap multiplied by the number of laps he swims should be greater than Total minutes he need to exercise.

framing in equation form we get;

Hence The Inequality describing the situation is .

b) 36

step-by-step explanation:

18 times 2 is 36

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