Answer:
22.5 hours
Step-by-step explanation:
191.25 divided by 8.50 hours will get you the total amount of hours she worked
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:
44°
Step-by-step explanation:
m∠MKN=44° (sum of angles in a triangle)
m∠KMJ=44° (definition of congruent angles)
Answer:
- 819
Step-by-step explanation:
The sum to n terms of a geometric series is
= 
where a is the first term and r the common ratio
Here a = 1 and r = - 4 ÷ 1 = - 4, thus
=
=
=
= - 819
Step-by-step explanation:
since all angles add up to 180:
(8x-1)+(3x+4)+(3x+9)=180
add like terms:
14x+12=180
x=12
Hope that helps :)