Answer:
Step-by-step explanation:
The denominator should be the initial value of 18.
Answer:
A = 40/n
Therefore, she gave each friend 40/n ounces of jelly beans.
Step-by-step explanation:
Given;
Total amount of jelly beans To = 3 pounds = 3×16 ounces = 48 ounces
Total amount kept for family Ta = 8 ounces
Total amount given to friends = Ti
Number of friends = n
Amount given to each friend = A
Ti = To - Ta
A = Ti/n = (To-Ta)/n
A = (48 - 8)/n
A = 40/n
Therefore she gave each friend 40/n ounces of jelly beans.
Answer: probability of Jake took 2 reds marbles = 3/52
probability of John took 1 blue marble = 1/8
Step-by-step explanation:
Okay, I will assume in this problem that the sample is not replacement, which means after Jake took 2 marbles, he didn't put it back into the sample.
The total of the sample = 20 + 10 +5 +5
Probability of Jake took the 1st red marble is 10/40 because there are 10 marbles in a whole bag of 40 marbles. Once Jack picked the 1st red marble out, there are only 9 red marbles left, thus the probability of the 2nd red marble is 9/39.
=> probability of Jake took 2 reds marbles = (10/40) *(9/39) = 3/52
and it goes the same way for John, except we only need to find 1 blue marble so we don't have to multiply anything here.
=> probability of John took 1 blue marble = 5/40 = 1/8
If you have a number x then the consecutive number is x+1
the multiplication of two consecutive numbers can then be written as x*(x+1)=...
if you find an integer solution for this equation you can write the number as two consecutive integers multiplied with each other, if not you found the exception you are looking for
E)
x(x+1)=9900
x²+x=9900
-> complete square
x²+x+(1/2)²=9900+(1/2)²
(x+(1/2))²=9900+(1/4)
x+(1/2)=sqrt(9900+(1/4))
x=sqrt(9900+(1/4))-(1/2)
x=99
->9900=99*(99+1)=99*100
if we replace 9900 in the last lines with the other numbers we can check them quickly too:
F)
x=sqrt(15750+(1/4))-(1/2)
x=125
->15750=125*(125+1)=125*126
G)
x=sqrt(20448+(1/4))-(1/2)
x=142.497...
->not an integer
->can not be written as two consecutive numbers multiplied
H)
x=sqrt(38612+(1/4))-(1/2)
x=196
->38612=196*(196+1)=196*197
so G is the only number which can not be written as two consecutive integers
