City:
-Athens
-Berlin
-London
-Paris
-Rome
Answer: They can visit all 5 cities in 120 different ways
Step-by-step explanation: If the family has the option of visiting five different cities in Europe, and they intend to visit all of them, then they can visit any one first and go on to another one, and so on till they exhaust all their options.
However, there is the option of which to visit first, which to visit second, and so on. This means if they decide for example, to start with Athens then they may decide to visit any of the four other cities afterwards in more than one way, and this is because all the other four cities equally have the option of being number two. So with Athens at number one, we have the other four equally likely to be number two, and so on.
To make this less cumbersome, we shall apply the formula for permutations. Rather than counting numbers of arrangements like described above, Keisha's family can use the permutation formula which is;
Pₙ = n!
Where n is the number of available options,
P₅ = 5!
P₅ = 5 x 4 x 3 x 2 x 1
P₅ = 120
Hence, the family can arrange their trip to Europe in 120 different orders
0 times lol...........
Answer:
152 days
The drawing will help
By using the principles of inverse variation, it is determined that it would take 20 workers 38 days to build a similar house.
The problem is an example of inverse variation, where the amount of time (days) to build a house decreases if the number of workers increases. In this specific scenario, one house was built in 76 days by 10 workers. We can represent the inverse variation relationship with the equation: days * workers = constant.
Using the given data, the constant can be calculated by multiplying the days by the number of workers, hence:
constant = 76 days * 10 workers = 760
To find the number of days it would take for 20 workers to build the house, we divide the constant by the number of workers:
days = constant / workers = 760 / 20 = 38 days
This means that it would take 20 workers 38 days to build a similar house.
#SPJ12
b.$0.27
c.$0.63
d.$0.36
B.) which town had the greater percent in increase?
requirements, how many flowers could she put in each bouquet?
HELP PLZZ
Answer:
Step-by-step explanation:
The total number of flowers that jasmine has to make bouquets is 84.
We need to note that she want to use all the flowers.
Now let us write down all factors of 84.
84= 1 * 84 ....(1)
= 2 * 42 ....(2)
= 3 * 28 ....(3)
= 4 * 21 ....(4)
= 6 * 14 .....(5)
= 7 * 12 ....(6)
Now all we need is odd number of flowers in each bouquet,i.e,
All the numbers written in the right hand side of the above 1 to 6
numbered equations are factors of 84.
Since Jasmine wanted no flowers to be wasted so we can assume that number of flowers in each bouquet must be an odd factor of 84.
Therefore, odd factors of 84 are 1,3,7,21.
So Jasmine could have 84 bouquets with 1 flower in each,28 bouquets with 3 flower in each,12 bouquets with 7 flower in each or 4 bouquets with 21 flower in each.
Answer:
the answer is 7
Step-by-step explanation: