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Alisiya [41]
3 years ago
11

Four different sets of objects contain 2,5,6 and 7 objects respectively how many unique combinations can be formed by picking on

e object from each set
Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

420 unique combinations.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

One object from each set:

2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:

2*5*6*7 = 10*42 = 420

420 unique combinations.

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Roxanne has 1/2 as many beads as Sherie. The number of beads Sherie has is 4/5 that of ting ting's. Ting Ting has 165 beads. How
Rom4ik [11]

Step-by-step explanation:

T = beads of Ting Ting = 165

S = beads of Sherie.

R = beads of Roxanne.

S = 4/5 × T = 4/5 × 165 = 4 × 33 = 132 beads

R = 1/2 × S = 1/2 × 132 = 66 beads

Ting Ting has therefore 165 - 66 = 99 more beads than Roxanne.

3 0
1 year ago
1.
lisov135 [29]

2 = X = -1

2

2. 2(4x+2) - (x-4) = 3(x+2)

Expand tge expression

= 8x + 4 -x +4 = 3x + 6

CLT ( Combine like terms)

= 7x + 8 = 3x + 6

Rearrange the terms

7x - 3x = 6 - 8

CLT

4x = -2

Divide both sides by 4

x = -2

4

x = -1

2

4 0
1 year ago
Read 2 more answers
If g(x) =4x+2 and f(x) =3x-10 <br><br> find g(f(3))
Leya [2.2K]

Answer:

g(f(3))=-2

Step-by-step explanation:

So we have the two functions:

g(x)=4x+2\text{ and } f(x)=3x-10

And we want to find g(f(3)).

So, let's find f(3) first:

f(3)=3(3)-10

Multiply:

f(3)=9-10

Subtract:

f(3)=-1

Therefore, we can substitute -1 for f(3):

g(f(3))=g(-1)

Now, find g(-1):

g(-1)=4(-1)+2

Multiply:

g(-1)=-4+2

Add:

g(-1)=-2

And we're done!

So:

g(f(3))=-2

6 0
3 years ago
Pleaseee i need some help on these 3 questions
Zepler [3.9K]

Answer:

a) the product is equal to 953.

b) the product is greater than 443.

c) the product is greater than 181.

Step-by-step explanation:

a) 953 × 63/63 = 953

Therefore, the product is equal to 953.

b) 443 × 86/79 = 482.25

Therefore, the product is greater than 443.

c) 181 × 30/28 = 193.93

Therefore, the product is greater than 181.

Hope this helps =)

6 0
2 years ago
Can someone help me with some algebra?
Sunny_sXe [5.5K]
★ Oblique Asymptote ★

f(x) =  \frac{x {}^{2}  + 5x + 6}{x - 4} \\ f(x) = (x - 4)(x + 9) + 42 \\
Hence , oblique Asymptote is obtained simultaneously by the Quotient of the function obtained ,
HENCE , oblique Asymptote is
y = x + 9
8 0
3 years ago
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