Break even is the value of t where revenue=cost or R(t)=C(t)
set equal each other
-50t^2+300t=600-50t
multiply both sides by -1
50t^2-300t=50t-600
divide both sides by 50
t^2-6t=t-12
minus t-12 from both sides
t^2-7t+12=0
factor
(t-4)(t-3)=0
set each to zero
t-4=0
t=4
t-3=0
t=3
the cost is $3 or $4
it will first break even at t=3$
Answer is 10(2k+5)
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Work Shown:
20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)
Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer
Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.
Answer:
121/12 or 10 1/2
Step-by-step explanation:
Mary Made: 10 3/4 Cups of Snack Mix
Guest Ate: 2/3
10 3/4 - 2/3 =
3b=y+3x
To solve for B you need to put B before the equals sign
Answer:
6
Step-by-step explanation:
First you divide 12 by 3 getting 4 showing that he took 4 quizzes a week. Now you know the amount of the quizzes he takes a week. Divide the 24 by 4 you get 6 if he takes 4 quizzes a week then it must take his 6 weeks to take all 24. another way is you see that 24 is the double of twelve right? Now double the 3 weeks and and you get six.