The greatest number of bags she can make without having any stickers or pencils left over is 18 bags.
Step-by-step explanation:
The best way to go about this is by dividing the total number of pencils and stickers by the answer choices given and starting with the highest number (27). We already know that 27 goes into 54 twice without anything left over, but can only go into 36 once while having 9 leftover. This would eliminate 27 as an answer choice as it does not meet the criteria.
Repeat the same process with 18, so 54 divided by 18 is 3, and 36 divided by 18 is 2. There is nothing left over, every bag will have an equal number of pencils and stickers. With this answer, the question criteria is true, making this the correct answer choice.
Answer:
(1,5)
Step-by-step explanation:
y = 4x+1
y = 2x+3
Set the two equations equal
4x+1 = 2x+3
Subtract 2x from each side
4x+1-2x = 2x+3-2x
2x+1 = 3
Subtract 1 from each side
2x+1-1 =3-1
2x=2
Divide by 2
2x/2 =2/2
x =1
Now find y
y =4x+1 = 4(1)+1 =4+1=5
(1,5)
Answer:
-2 and 12
Step-by-step explanation:
To find the two numbers which are 7 units away from 5, add 7 to 5 and subtract 7 from 5
5+7 = 12
5-7 = -2
Answer:
8/9 (simplified)
Step-by-step explanation:
Total marbles = 18
Total of marbles <em>not</em> white = 16
Numerator = 16 / Denominator = 18
= 16/18
= 8/9 (simplified)
The rate for the first is 1 job / 35 minutes and for the second is 1 job / 15 minutes. So combined we get
r = 1/35 + 1/15
3×5×7r = 3 + 7 = 10
r = 10/(105) jobs per minute
We're interested in 1/r
1/r = 105/10 = 10.5 minutes per job
Answer: 10.5 minutes
