Hello!
For a:
How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.
Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs.
Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.
4 / 2 = 2 rabbits
So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.
So there are 44 chickens and 2 rabbits.
b)
You can follow the same steps: I'm assuming all are child tickets for now:
3.05 * 100 = $305
And now you find how much money short you are.
498.6 - 305 = 193.6
Next, you find the difference in the ticket costs.
5.25 - 3.05 = 2.20
And you divide to find the number of adult tickets.
193.6 / 2.2 = 88
Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.
Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
Use the geometric mean for right triangles here. Like this
. Cross multiply to get
, and
. That simplifies down to
. Pull out the 9 as a perfect square of 3 and you're left with
, first choice above.
Answer:
(45,60,75)
Step-by-step explanation:
Because 45^2 + 60^2 = 75^2
5625 = 5625
