Answer: B) A large bottle costs $12, and a small one costs $8.
Where L is how many large bottles have been sold, and is how many small bottles have been sold.
In order to find out how much money the large bottle and small bottles cost, we must solve the system of equations.
Step 1: Subtract 3S from both sides
Step 2: Divide both sides by 44.
Step 3: Replace L for 
Step 4: Simplify
Step 5: Subtract 108 from both sides
Step 6: Divide both sides by -2.5
Step 7: Replace S for 8
Step 8: Divide both sides by 4
Step 9: Subtract 6 from both sides
Answer:
x(3x-1.2)=0
if it is factoring my answer are correct but I think there are some problem in the question. idk hope my answer could help you
Answer:
For the first blank box, it would be 2, and for the second blank box, 40
Step-by-step explanation:
As we are told, we need 3 sticks of butter for every 24 cookies. We can make this simple by figuring out how many cookies we can make with one stick of butter.
To do this is easy: 24 divded by 3 = 8
So 8 cookies per stick of butter
16 cookies would be 2 sticks of butter (as 8 x 2 is 16, and there's 8 cookies per butter stick)
and with 5 sticks of butter, we do (5 x 8 ) which equals 40
Hope this helped !
Answer:
Step-by-step explanation:
I'm going to paint you a picture in words of what this looks like on paper. We have a train leaving from a point on your paper heading straight west. We have another train leaving from the same point on your paper heading straight east. This is the "opposite directions" that your problem gives you.
Now let's make a table:
distance = rate * time
Train 1
Train 2
We will fill in this table from the info in the problem then refer back to our drawing. It says that one train is traveling 12 mph faster than the other train. We don't know how fast "the other train" is going, so let's call that rate r. If the first train is travelin 12 mph faster, that rate is r + 12. Let's put that into the table
distance = rate * time
Train 1 r
Train 2 (r + 12)
Then it says "after 2 hours", so the time for both trains is 2 hours:
distance = rate * time
Train 1 r * 2
Train 2 (r + 12) * 2
Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r. The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24. The distance between them (which is also the length of the whole entire arrow) is 232. Thus:
2r + 2r + 24 = 232 and
4r = 208 so
r = 52
This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph
Answer:
Step-by-step explanation: If Professor Lam grades 4 papers per hour, in 11 hours he will graded 44 papers. (11 x 4= 44). He had previously graded 6 papers giving him a total of 50 papers graded. His assistant can grade 5 papers per hour, thus it would take him 10 hours to grade the same amount of papers as Professor Lam. (10 x 5= 50) Thus: 11 hours Professor Lam 50 papers graded; 10 hours his assistant 50 papers graded.
