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Aleks04 [339]
3 years ago
7

Lydia is having a party on Saturday she decides to write a riddle order invitations to describe your house number on Cypress Str

eet use the clues to find Lydia's address
Mathematics
1 answer:
Katen [24]3 years ago
7 0
Where is the clues to the question?
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How can 18/24 the fraction be written as a fraction
Ede4ka [16]
\frac{18}{24} = \frac{6\times 3}{6\times 4} = \boxed{\frac{3}{4}}

18/24 can be written as 3/4 in simplest form.
7 0
3 years ago
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How many minutes are in 2/4 if an hour
Katyanochek1 [597]
2/4 of an hour is half an hour so 2/4 of an hour is 30 minutes. Hope it helps

5 0
3 years ago
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7) PG & E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many
BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

============================================================

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

-----------------

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

-----------------

<h3>Answer: 495</h3>
5 0
2 years ago
Solve for x: <br><br> -4x +8 = 42<br><br> x =
vladimir1956 [14]
The answer for x is -8.5
4 0
3 years ago
Find the product of -5x²y⁴ and 3xy³​
ycow [4]

Answer: -15x^3y^7

Step-by-step explanation:

 

-5x^2y^4(3xy^3)  

Multiplty the coefficients

Multiply the x terms

and fianally multiply the y terms  

-5(3) = -15

x^2 * x = x^3

y^4* y^3 = y^7

= -15x^3y^7

8 0
3 years ago
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