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olga55 [171]
2 years ago
15

Simplify and evaluate without a calculator. 3*(m-4)-n*(m-4) if m=5 and n=3

Mathematics
2 answers:
il63 [147K]2 years ago
8 0

Answer:

Step-by-step explanation:

If m = 5 and n = 3, then

3*(m-4)-n*(m-4) becomes 3*(5 - 4) - 3(5 - 4), or 3(1) - 3(1) = 0

Another way to do this would be to factor out m - 4 first.  We get:

(m - 4)(3 - n), and substituting the given values for m and n results in

5(3 - 3) = 0 (as before).

Katarina [22]2 years ago
6 0

Answer:

0

Step-by-step explanation:

3*(m-4)-n*(m-4)   m = 5, n = 3

3*(5-4)-3*(5-4)

3*(1)-3*(1)

3-3

0

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How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem
masya89 [10]

Answer:

40951

Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000

Total Number of elements in each pair including number repetition of sets is given as

=(1000) × C(5, 2) =10000

Number of elements in each triple of sets is given as

=(100) × C(5, 3) =1000

Number of elements in every four sets

=(10) × C(5, 4)=50

Number of elements in every one set

(1) × C(5, 5)=1

Therefore total number of unique elements=50000-10000+1000-50+1

=40951

5 0
3 years ago
Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced
mylen [45]

Answer:

x=119119,\;\;\;y=119119

Step-by-step explanation:

Let the x be the first number, y be the second number and p be the product of the first and second number.

i.e  x+y=238238   \Rightarrow x=238238-y

      p=xy

   \Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2

\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119

Now,

x=238238-119119\\\\ \Rightarrow x=119119

Hence, x=119119,\;\;\;y=119119

   

8 0
2 years ago
How many servings are in 1.2 gallon container
shepuryov [24]
There would be 19.2 cups. At least from what I am thinking of. So you would get 19 cups and about a fourth of another cup. I hope this helps! :)
7 0
3 years ago
How Can you divide that
Archy [21]
First you ask yourself, can 8 go into 1?  The answer is no.  Can 8 go into 12? Yes, 1 time.  So you put 1 on top of the 2 and subtract 8 from 12.  That gives you 4.  Then you pull down the 8 from 128 and ask how many times can 8 go into 48?  The answer is 6.  So your answer is 16.  Hope I helped!

6 0
3 years ago
Read 2 more answers
What is the answer for 7.5+2.3y-y
Alexxx [7]

Answer:

9.8

Step-by-step explanation:

7.5+2.3y-y

Subtract y

7.5+2.3

Then Add

9.8

7 0
3 years ago
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