The number of teenagers that liked Indian only is 11 students.
<h3>How to use Venn Diagrams?</h3>
Counting students who liked Chinese and pizza
There were 35 teenagers altogether.
Since all the students who liked pizza also liked Chinese, and no student liked all three, we can just think about the remaining 25 students.
Of these, 14 liked Chinese and 16 liked Indian.
Since each student liked at least one of these, and there are a total of 30 'likes', then 5 students must like both Indian and Chinese.
This leaves 11 students who liked Indian only.
Thus, we conclude that the number of teenagers that liked Indian only is 11 students.
Read more about Venn Diagrams at; brainly.com/question/24713052
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Ac method
for y=ax^2+bx+c
the ac method is normally used for when a≠1
it is used as an aid to help factor
so
0=1x^2-8x+15
multiply a and c (1 times 15=15)
what 2 numbers mulitply to get 15 and add to get -8?
-3 and -5
split the middle up to that
0=1x^2-3x-5x+15
group
0=(x^2-3x)+(-5x+15)
undistribute
0=x(x-3)-5(x-3)
undistribute (x-3)
0=(x-5)(x-3)
set to zero
x-5=0
x=5
x-3=0
x=3
solutions are x= 3 and 5
Answer: being similar means they are in the same ratio. so x = 12
Step-by-step explanation:
first put it into a ratio, 4/x =2/6 and answer it like an equation.
4/x=2/6 (cross multiply)
24=2x
x=12
36 + x = 2(11 + x)
36+x=22+2x
14=x
John will be twice Jimmy's age in 14 years.
Alternate way:
Keep writing their ages for every year until John is twice Jimmy's age.
In the beginning: John is 36 years old, Jimmy is 11 years old.
As the years pass...
After 1 years: (John, 37), (Jimmy, 12)
After 2 years: (John, 38), (Jimmy, 13)
After 3 years: (John, 39), (Jimmy, 14)
After 4 years: (John, 40), (Jimmy, 15)
After 5 years: (John, 41), (Jimmy, 16)
After 6 years: (John, 42), (Jimmy, 17)
After 7 years: (John, 43), (Jimmy, 18)
After 8 years: (John, 44), (Jimmy, 19)
After 9 years: (John, 45), (Jimmy, 20)
After 10 years: (John, 46), (Jimmy, 21)
After 11 years: (John, 47), (Jimmy, 22)
After 12 years: (John, 48), (Jimmy, 23)
After 13 years: (John, 49), (Jimmy, 24)
After 14 years: (John, 50), (Jimmy, 25)
A,B,C,D i.e. all statements are true!
<u>Step-by-step explanation:</u>
According to question, Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 per week to cover her expenses. The inequality for above scenario will be :
where, x is number of necklaces & y is number of bangles.
A.
Lynn will meet her goal if she sells 12 bangles and 12 necklaces. i.e. x=12 and y=12 , putting values inequality :
which follows inequality . True statement!
B.
Lynn will meet her goal if she sells 20 bangles and 6 necklaces.
putting values inequality :
which follows inequality . True statement!
C.
Lynn will meet her goal if she sells 6 bangles and 12 necklaces. putting values inequality :
, which follows inequality . True statement!
D.
Lynn will meet her goal if she sells 2 bangles and 18 necklaces.putting values inequality :
, which follows inequality . True statement!