Find the value of x(20 question in the photo
1 answer:
You might be interested in
Let r be a radius of a given circle and α be an angle, that corresponds to a sector.
The circle area is
and denote the sector area as 
.
Then
(the ratio between area is the same as the ratio between coresponding angles).
.
The circle area is
Then
Let x be the number of weeks; therefore, the two linear equations are
Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then
Thus, substitute the value of x=3 into the first equation,
Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.