You are told the ages of Karen and David in terms of Michelle's age.
Let m = Michelle's age.
Michelle's age = m
Karen's age = m + 6
Michelle is two years younger than David, so David is two years older than Michelle.
David's age = m + 2
Add the ages and get 62.
m + m + 6 + m + 2 = 62
3m + 8 = 62
3m = 54
m = 18
Michelle is 18 years old
Karen is 6 years older, so she is 24 years old.
David is 2 years older than Michelle, so he is 20 years old.
Answer:

Step-by-step explanation:
we are given
- Amplitude:7
- Period:9π
- Phrase shift:¼
remember that,

where A is the Amplitude
B is the Period
C is the Phase shift
D is the vertical shift
note that, since D isn't given we'll take it 0
altogether substitute:

hence,
our equation is

and we are done!
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> number of tennis balls
y ----> number of tennis rackets
we know that
To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets
In this problem we have

see the model in the attached figure N 1
so


This is the equation of a linear direct variation
The relationship between the variables x and y is proportional
see the model in the attached figure N 2
The answer is 7.03 × 10<span>-2</span>
Answer:
The total amount of students in the class would be 30. The total amount of girls would be 12.
Step-by-step explanation:
60% * x = 18
(60/100) * x = 18
6x/10 = 186x = 18 * 10
6x = 180x = 180/6 = 30
The total number of students in the class is 30.
Number of girls in the class = 30 - 18 = 12
So there are 12 girls in the class.