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.
Answer:
225/4
Step-by-step explanation:
x²– 15x – 23 = 0
To complete the square
We take to coefficient of the x term
-15
divide by 2
-15/2
Square it
225/4
Add it to each term
Yes they are. if you multiply numerator and denominator of 3/7 by 6, you get 18/42
Answer:
3375
Step-by-step explanation:
Answer:
π x radius²=πr²
Step-by-step explanation: