Mrs. Hanson decided to survey the twenty-one students in her homeroom one morning to find out how they were feeling at that moment. Here are her results. Feeling Number of Students
hungry (total) 7
happy (total) 10
hungry and tired 1
hungry and happy 1
happy and tired 2
all three 3
Draw a Venn diagram and then find the number of students that were just tired.

14
8
6
11

Thank you so much. Brainliest for YOUU :D.

it's 8,

let the no. of tired students be x

add all the numbers of the happy, hungry and in between students and then subtract from the total of the student

which has to look smth like this

happy = 10

so we fill all the numbers in between then we add them and see what's missing

1+3+2 = 6

10-6 = 4

4 students are happy

hungry = 7

1+1+3 = 5

7-5 = 2

2 students are hungry

and lastly for tired, they didn't mention the total so we add all the numbers we got and subtract them by the total of students (just like mentioned above)

2+1+1+3+4+2 = 13

21-13 = 8

8 students were tired

x = 8

1 3 5

step-by-step explanation:

i took the test: )

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺