Answer: 288ways
Step-by-step explanation:
There are 5men and 5women to be arranged, since the men must seat together, they will be arranged in 5! ways. For the women, since they must also seat together but with siamese twins between them, they can be arranged in 4! ways instead of 5! ways and this is due to presence of the twins among them.
Note that Siamese twins cannot be separated as such both are taken as one making it 4!.
Since the women and men are always sitting together, they can be arranged in 2! ways i.e 2 sexes
The final seating arrangement can be done in 2!×(5!+4!) ways
= 2× (120+24)
= 2×144
= 288ways.
Note that the arrangement of the men and women are added because they can only be arranged differently to ensure different sex are not sitting together.
Answer:
a relation and a function
= A
Step-by-step explanation:
Answer:
2.50
Step-by-step explanation:
the pattern shown in the miles driven goes up each time by 5000, stating it's going up by a constant of 5000. the cost goes up each time by 2000.
divide 5000/2000 which would give you 2.5
round it by two decimal places which gives you 2.50
Answer:
1/2
Step-by-step explanation:
Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.
With this information we can use the respective volume formulas.
Hemisphere: 
πr^3
Cone: 
πhr^2
Since h (height) = r we can say the cone volume equals:
πr^3
Now to find the ratio we divide the cone volume equation by the hemisphere volume equation
pi and r^3 cancels out from the division and we are left with
ratio = (1/3)/(2/3)
ratio = 1/2
Answer:
50
Step-by-step explanation:
[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]
[3 × 3 + (8 - 3)] + [4 × (36 - 27)]
(9 + 5) + (4 × 9)
14 + 36
50
