Answer: 11113200
Step-by-step explanation:
We know that , the number of combination of choosing r things from n things is given by :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200
Answer:
The maximum amount of people that can go to the amusement park is 15.
Step-by-step explanation:
First you create an equation to represent the question
8.75+25.75x≤420
You put the less than or equal to sign because 420 is the maximum amount of money.
Now you just solve the equation.
25.75x≤420-8.75
25.75x≤411.25
x≤411.25/25.75
x≤15.9708738
Then you have to round down because you cant have .9 of a person.
So x≤15
Then, Check your solution
8.75+(25.75 x 15)≤420
8.75+386.25≤420
395≤420
That is true. But to make sure that is the maximum add another 25.75
395+25.75≤420
420.75≤420
This is equation is false so, our answer is correct.
The maximum amount of people that can go to the amusement park is 15.
Answer: 29/3 into a mixed fraction would be 9 2/3
I hope I helped you. Have a great day!
Step-by-step explanation:
Simplify:
29/3 = 9 2/3
(2) So we know Ethan uses 1/4 cup of milk for his cake. And if he needs to make 3 times the amount of 1 cake, he'll make 3 cakes today. So we multiply the amount of cakes (3) by the amount of milk needed (1/4)
3 * 1/4 = 3/4
Ethan will need 3/4 cups of milk.
(3) We know Isabella need's 2/5 of a gallon of the food to make 1 gallon.
She want's to make 5 gallons, so like the other problem, we multiply the amount of gallons (5) by the amount of food needed (2/5):
5 * 2/5 = 10/5 = 2/1.
Isabella will need 2 gallons of food.
Answer:
x =112
Step-by-step explanation:
The sum of the angles of a triangle add to 180
Two angles are 34 and 34. Let the third angle be x
34+34+x = 180
Combine like terms
68+x = 180
Subtract 68 from each side
68-68 +x = 180-68
x =112
