Only 67% sol cals got this. can u?

Question

I am planning a dinner meeting for 150 people. Each table will be set for nine people. If there are enough tables to accommdoate everyone, what is the fewest possible number of unused table settings?

I have enlarged a 3" by 5" picture so that both the length and width are tripled. By what number must the original area of the picture be multiplied to get the enlarged area.

A shake from Jake's Shakes uses 2 tsp vanilla, 2 scopps of ice cream, 4 oz fresh banana and 1/2 cup milk. A banana (without the peel) weighs 6 oz on average. How many whole bananas must Jake order so that he can make 500 shakes?

I roll three standard dice once. What is the probability that the sum of the numbers rolled will be three or more? Express as percent.

What is the smallest prime factor of 1821?

Three bags each contain the same number of marbles. (The weight of an empty bag would not affect the weight on the scale) If three bags of marbles plus two more marbles balance 14 marbles as shown, how?

I need help!

for the last one it should say how many marbles are in each bag

Answer 1

1) 3 unused table settings

150/9 = 16 with remainder 6. so we seat the 6 remaining people at a table, and 3 settings go unused.

2) Multiply the original by 9

length original = 3
width original = 5

Area original = 3*5

length enlarged = 3*3
width enlarged = 3*5

Area enlarged = 3*3*3*5 = 9*3*5

3) 334 whole bananas

Jake needs 4*500 = 2000 oz

So, 2000/6 = 333 with remainder 2

Jake must order 334 whole bananas

4) 100%

5) 3

(note: the number 1 is not a prime number)

6) 4 marbles in each bag.

n + n + n + 2 = 14

n= 4

Answer 2

3

9

334; for a 95% confidence interval, assuming bananas are normally distributed, you'll want about 333 + 1/3 + sigma(banana)*z(.95)/334, rounded up to the nearest whole banana, where z(t) is the value of x such that the integral from negative infinity to x of the standard normal distribution is equal to t. You can't be sure with any number of bananas, but even if the standard deviation of a banana is one ounce, 334 bananas has a probability of success very very close to one; it is greater than 99.99999%

100%. No duh.

3

How what? How did we win the Cold War? By spending so much money on military R&D that the Soviet Union was driven into the ground trying to keep up with us, and ... oh, the question is probably supposed to be relevant to the previous part of that question. I am guessing it should say, "how many marbles are in each bag?" instead of "how?"
In keeping with the theme of the problem (3, 3*3, 333.3333..., 100%, 3), I will assume that the weight of each bag is equivalent to a marble, our smallest and only unit of mass defined in the problem, giving an answer of three.

However, the problem does not state this, so I will go with the more likely assumption: that they want you to assume all marbles weigh the same, and that the bags are of negligible mass. This means there are 4 marbles in each bag.

Yeah, I'm a smart***. I know.

Answer 3

Yes