Answer:
1. 10C4 = 210
2. 4C1 + 10C1 = 14
Step-by-step explanation:
There are total 4 types of cakes available. Chocolate, cherry, apple and plain cakes. If we select 10 cakes, the possibility that at least 1 cake is selected for every variant is 210. We use computation technique in statistics for this purpose 10C4. After calculation we get 210.
If we select 4 apple cakes and one chocolate cake then there will be 14 different ways to do this. It is assumed that the order does not matter.
Part a:
x + y = 55
y = x + 25
part b:
jackie runs 15 minutes every day.
part c:
it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
step-by-step explanation:
let's call and while jackie is dancing
let's call x while jackie is running
then we know that jackie runs and dances for a total of 55 minutes every day
this means that:
x + y = 55
we also know that jackie dances 25 minutes more than she runs.
this meant that:
y = x + 25
now we substitute the second equation in the first and solve for the variable x
x + x + 25 = 552x = 55-252x = 30x = 15
jackie runs 15 minutes every day.
now we find the value of the variable -y
15 + y = 55y = 55-15y = 40
note that it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
Answer:
5.875
Step-by-step explanation:
The GCF is 7
I hope it helps
Answer:
13mph
Step-by-step explanation:
you must multiply both fractions by the reciprocal of 1/65 which is 65/1
(1/5 * 65/1) / (1/65 * 65/1)
(65/5) / (65/65)
13/ 1
13/1 = 13