In 2x+10=16, x will equal 3. In 2x-10=16, x will equal 13.
Attached is a Venn diagram of your problem.
Knowing how many likes all three will help. You know that 10 students like all three.
Rock and Jazz only:
16 like rock and jazz while 10 like all three. To get how many like jazz only, subtract 10 from 16.
16-10 = 6
Rock and Classical only:
13 like rock and classical while 10 like all three. To get how many like jazz only, subtract 10 from 13.
13-10 = 3
Jazz and classical only:
12 like jazz and classical while 10 like all three. To get how many like jazz only, subtract 10 from 12.
12-10 = 2
Now with that data you fill up the 4 intersecting areas. To get the outer, just remember that all areas within a circle should add up to the first assumption.
27 rock
24 classical
28 Jazz
All numbers in the rock circle should add up to 27.
All numbers in the classical circle should add up to 24.
All numbers in the Jazz circle should add up to 28.
Rock:
3+10+6+x = 27
19+x=27
x = 27-19
x= 8
Classical:
3+10+2+x = 24
15 + x = 24
x = 24-15
x = 9
Jazz:
10+6+2+x = 28
18 + x = 28
x = 28 - 18
x = 10
In summary: 8 liked only Rock, 9 liked only Classical, 10 liked only Jazz.
Answer:
5/3
Step-by-step explanation:
Is there a link or a picture of the worksheet?
Ooh a challenge!
so first find the surface area which is
(2 times legnth times width)+(2 times legnth times height)+(2 times width times height)=(2 times 12 times 10)+(2 times 12 times 16)+(2 times 10 times 16)=(2 times 120)+(2 times 192)+(2 times 160)=240+384+320=944 ft^2
then subtract the area of the door which is 3 times 8=24
so 944-24=920 ft^2
1 quart of paint =100
944/100=9.44
round up because you cant buy a fraction of a bucket but you still need to cover the whole room (minus the door)
10 quarts of paint is the answer