Xavier can swim at a constant speed of 5/3 meters/second. He is trying to qualify for the N ational Swim Meet. To qualify, he must complete a 100-meter race in 55 seconds. Will Xavier be able to qualify? Why or why not?

Xavier will not be able to qualify because the speed required for him to qualify is greater than the speed at which he runs

Step-by-step explanation:

Here, we want to know if Xavier will be able to qualify or not

His constant speed is 5/3 m/s

Now to win , he needs a speed of 100 m/55 sec = 20/11 m/s

So now, we need to know the bigger fraction between the two

Mathematically, that will be

5/3 - 20/11 = (55-60)/11 = -5/11

As we can see, the required speed is greater than what he can run

So this means that he will not be able to qualify

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: