So, if Dylan has x dollars and he bought 3 tickets with them, the tickets were priced at k dollars per ticket. If he bought 5 tickets with the x dollars and saved 12 total dollars, it would be the same as buying the tickets with x-12 dollars, so we have:
So, with this we have:
If we're looking for a number that satisfies these constraints, we can work with modular arithmetic. We have:
So, we can use the chinese remainder theorem here. So, we clearly have x=3k, which means:
So, since we have x=3k, we also have x=3(5j+4)=15j+12.
So, clearly j=0 won't work so we should have j=1. That means our money per ticket for the five tickets is:
And our money per three tickets is:
This is easily verifiable. Three tickets needs 27 dollars and 5 tickets needs 15 dollars, which is 12 less than 27 dollars. So we have our money per three dollar ticket at 6 more than money per five dollar.
Answer:
Step-by-step explanation:
If n is the number that TJ is thinking, then says he found 1 third of the number, you would multiply 1/3 by n. Then he says to subtract 5, which would be the -5.
Answer:
702 emails
Step-by-step explanation:
<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>
Given data
Average personal emails received monthly = 
Average work emails received monthly
We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.
After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.
let us solve for 10% depreciation.
The new number of mails
Joe will be receiving an average of 702 emails in his personal account monthly
Hay 162 refugiados en el campamento. Si hubiera mas de 162, ya no recivirian la misma racion de comida. Cada uno recive un paquete de galletas, dos paquetes de arroz y pienso k una botella y media de agua (aunque lo de el agua suene un poko ilogico).
Answer:
Step-by-step explanation:
a )
sample mean = sum total of given data / no of data
= 415.35 / 20 = 20.76
To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .
= 20.50 + 20.72 / 2
= 20.61
b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest
(18.92 + 19.25 ..... + 22.43 + 22.85) / 16
= 20.74
c )
We can easily plot the data on number line from 17 to 24
d )
Maximum value of data set = 23.71 and minimum value is 18.04
mean is 20.76 , median is 20.61 and trimmed mean is 20.74
They are between maximum and minimum values of given data . Hence there is no outliers .
