Answer:
The race must be up to 29 meters for Dhvan to win.
Step-by-step explanation:
Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:
45 / (2.5 - 1) = X
45 / 1.5 = X
30 = X
Therefore, the race must be up to 29 meters for Dhvan to win.
There are 10 seniors in the class, from which 4 should be chosen by the teacher. The order of the chosen students does not matter. This means that we speak of combinations. THe equation for calculating the number of possible combinations is:
C=N!/R!(N-R), where N is the total number of objects and R is the number of objects we select from the N
In our case, N=10, R=4.
C= 10!/4!*6!=10*9*8*7*6!/6!*4*3*2*1=<span>10*9*8*7/24=5040/24=210
There are 210 different ways for the teacher to choose 4 seniors in no particular order.</span>
12 is the number of $10 bills
20 is the number of $20 bills
<u><em>Step-by-step explanation:</em></u>
<u><em /></u>
Hello,
<u>Let's note</u>
a the number of $10 bills
b the number of $20 bills
The total value is $520 so we can write the first equation (1)
We know that there are 32 bills in total so we can write the second equation (2)
(1) - 10*(2) gives
10a + 20b - 10(a+b) = 520 - 320 = 200
10a + 20b - 10a - 10b = 10b = 200
So b = 200/10=20
and then from (2) a = 32 - 20 = 12
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
5
Step-by-step explanation:
