Morgan is arranging a bowling party for his friends. the party room at the bowling alley is $35. the bowling alley also charges $13 for each person who attends the party. what is the maximum number of people that morgan can invite to stay under his budget of $175 identify the inequality to solve and the maximum number of people. a) 13x+35< =175 ; 10.77 people b)13x+35< =175; 10 people c) 13x+35> =175; 11 people d)13x< =175; 13 people

Option: B is the correct answer.

        B)13x+35<=175; 10 people

Let x people could be invited to the party such that it stay under his budget.

This means that cost of x people will be: $ 13x

Also, the party room cost: $ 35

This means that:

                  35+13x≤175.

( Since it was given that: His budget should be under $ 175 )

Now on subtracting both side of the inequality by 35 we get:

                 13x≤175-35

          ⇒    13x ≤ 140

          ⇒   x ≤ 10.7692

As the number of people will be in whole.

Hence, x=10 people.

          Hence, option: B is the answer.

the least common denominator is 40

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: