Of the eighth graders at the paxton school, 99 playedbasketball, 9 played volleyball, 10 played soccer, 1 played basketball and soccer only, 2 played volleyball and soccer only, 1 played basketball and volleyball only, and 2 played volleyball, basketball, and soccer.
make a venn diagram describing this information and use it to answer the following questions.
how many students were in the played at least one of the three sports?
how many students played only basketball?
how many students played volleyball and soccer, but not basketball?

(a). 110

(b). 95

(c). 2

In the question,

Number of students who played Basketball = 99

Number of students who played Volleyball = 9

Number of students who played Soccer = 10

Number of students who played Basketball and Soccer only = 1

Number of students who played Volleyball and Soccer only = 2

Number of students who played Basketball and Volleyball only = 1

Number of students who played Basketball, Volleyball and Soccer only = 2

So,

We can see from the Venn diagram shown below,

Number of students who played only Basketball = 99 - (1 + 2 + 1) = 95

Number of students who played only Volleyball = 9 - (1 + 2 + 2) = 4

Number of students who played only Soccer = 10 - (1 + 2 + 2) = 5

(a).

Number of students who played atleast one of three sports = Sum of all the sections in the Venn Diagram

= (95 + 1 + 2 + 1) + (4 + 2) + 5 = 110

(b).

Students who played Basketball only = 95

(c).

Number of students who play Volleyball and Soccer but not Basketball = 2

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

answer: 12x^2+6x

step-by-step explanation:

6x does not equal 24x. hope it works!