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soldi70 [24.7K]
2 years ago
13

Someone please help me will give BRAILIEST!!!!

Mathematics
2 answers:
Naily [24]2 years ago
6 0
This is   the number of combinations of 2 from 6 =
  6!
-------
2! 4!

an easy way to work this out is 
 6*5
-----                      =  30 /2 = 15
 2 * 1

Answer is 15
romanna [79]2 years ago
6 0
Answer:

A 2 person team can be chosen in one of fifteen ways.

Explanation:

The question is not precise because if you treated it literally the answer would be 3. First you choose one team, 4 people are left in the group, the second team takes another 2 people and the remaining create the third team.

But I assume that the question is like "In how many ways a 2 people team can be chosen from 6 people?"

Such question has an answer 15 because first member is chosen from 6 people (so there are 6 possibilities), the second person is chosen from remaining five people so the number is <span>6⋅5=30</span>, but you have to divide the result by 2 because 2 people can be chosen in 2 ways but they still form the same team. It does not matter if you choose Ann first then John or the other way John first then Ann they form the same team.

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The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.
zlopas [31]

Answer:

x = 2.5

Step-by-step explanation:

Surface area of cylinder = 2πr(h + r)

Volume of cylinder = πr²h

Given that S.A = Volume of the cylinder, therefore, we have:

2πr(h + r) = πr²h

Radius (r) is given as 2.5 cm

height (h) = x cm

Input the values and solve for x

2πr(h + r) = πr²h

2πr(h + r) = πr(rh)

2(h + r) = rh (πr cancels πr)

2(x + 2.5) = 2.5*x

2x + 5 = 2.5x

Subtract 2x from both sides

2x + 5 - 2x = 2.5x - 2x

5 = 0.5x

Divide both sides by 0.5

\frac{5}{0.5} = \frac{0.5x}{0.5}

2.5 = x

x = 2.5

8 0
3 years ago
Phil has $20,000, part of which he invests at 8% interest and the rest at 6%. If the total income from the two investments was $
Salsk061 [2.6K]

Answer: 7000

Step-by-step explanation:

Let the amount invested in 8% account be P1 and the amount invested in 6% account be P2

. If the total amount invested is $20,000 then:

P1+P2=20,000. (Eq. 1)

The interest earned in one year from the 8% account is:

I1=0.08P1

and the interest earned in one year from the 6% account is:

I2=0.06P2

If the total interest earned is $1460, then:

I1+I2=1460

0.08P1+0.06P2=1460

(Eq. 2) From Eq. 1 :

P1=20000−P2

Substituting this into Eq. 2:

0.08 (20000−P2) + 0.06P2 = 1460

1600 − 0.08P2 + 0.06P2 = 1460

0.02P2 = 140

P2 = 140 / 0.02

P2 = 7000

Hence, he invested $7000 at the rate of 6%.

8 0
3 years ago
TeeVee Electronics, Inc., makes console and wide-
Tom [10]

Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

                                     Cost      Production Max.

Console screen (x)      $600              450

Wide-screen (y)           $900              200

                                 $360,000

We have:

600x+900y \leq 360,000

Because they can't spend more than $360,000 in production.

x\leq 450\\y\leq 200

Because the number of television is restricted.

The profit function is

P(x,y)=125x+200y (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

P(300,200)=125(300)+200(200)=37,500+40,000=77,500

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

P(450,100)=125(450)+200(100)=56,250+20,000=76,250

450 console screen and 100 wide screen give a profit of $76,250.

<h3>Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,</h3>

4 0
2 years ago
Suppose a firm in a competitive market earned $1,000 in total revenue and had a marginal revenue of $10 for the last unit produc
aleksklad [387]

Answer:

      $5 and 50 units

Step-by-step explanation:

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3 years ago
Un buzo realizó los siguientes descensos desde la superficie: Descenso 1: -25 m Descenso 2: -15 m Descenso 3: -25 m ¿A qué dista
dimulka [17.4K]

Answer:

no habla espanol

Step-by-step explanation:

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