If r varies directly as p and inversely as q2, and r = 27 when p =3 and q = 2, find r when p = 2 and q= 3
1 answer:
Answer:
k = 36 and r = 8
Step-by-step explanation:
Given that r varies directly as p and inversely as q² then the equation relating them is
r = ← k is the constant of variation
To find k use the condition r = 27 when p 3 and q = 2, thus
27 = ( multiply both sides by 4 )
108 = 3k ( divide both sides by 3 )
k = 36
r = ← equation of variation
When p = 2 and q = 3, then
r = =
= 8
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Answer:
300
Step-by-step explanation:
Students like Vanilla ice cream = 86
Out of 86 Students like chocolate ice cream too = 48
So, No. of students who like only vanilla=86-48 = 38
There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.
There were 2 students who did not like either vanilla ice cream or chocolate ice
Like Vanilla Did not like vanilla Total
Like Chocolate 48 12 60
Did not like chocolate 38 2 40
Total 86 14 100
No. of students who like chocolate out of 100 = 60
Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.
Let x be the number of students out of 500 who like chocolate
So, A.T.Q
Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.