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FrozenT [24]
3 years ago
6

How many different combinations of two can be made from 80 people?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
3 0

Plugging directly into the combination formula, the answer is \binom{80}{2}=\frac{80!}{2!78!}=\frac{80\cdot 79}{2\cdot 1}=40\cdot 79=\boxed{3160}, where we have cancelled out common factors.

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At the theater, tickets for adults cost $4.75
shutvik [7]
X+y= 26 and 4.75x + 2.25y= 83.50

y=26-x( substitute this into second equation for y and solve for x)

4.75x + 2.25(26-x)= 83.50

4.75x + 58.5-2.25x= 83.50

x= 10

Now solve for y by substituting your answer for x

10+ y= 26

y=16

Therefore, 16 tickets were purchased for kids and 10 for adults.

7 0
2 years ago
The function h(t) = -4.9t2 + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h
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3 0
3 years ago
Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, d
Allushta [10]

Answer:

number of dimes 11 to 14

Step-by-step explanation:

given data

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solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

dime is worth 10 cents

so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

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0.05 x + 0.1 y ≥ 1.3       ......................2

and

when Nolan has 5 nickels

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y ≤ 19 - 5

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and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

0.25 + 0.1y ≥ 1.3

0.1y ≥ 1.3 - 0.25

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I would mark answers:

HL, HA, ASA.

5 0
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Sergio039 [100]

Answer:

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B) (4,4)

C) (3,2)

D) (3,-1)

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K) (-1,4)

L (1,4)

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