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ankoles [38]
3 years ago
15

Average of 6 numbers is 4, if the average of 2 numbers is 2 what is the average of other 4

Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Answer:

5

Step-by-step explanation:

Let's just pretend the 6 numbers are: a,b,c,d,e,f.

Then (a+b+c+d+e+f)/6 =4 (given by first statement.)

Let's pretend the average of 2 numbers is 2 means they are talking about the a and b.

So (a+b)/2=2.

Now we want to find (c+d+e+f)/4 as requested by their question.

So first step multiply both sides of our first equation by 6 giving us:

a+b+c+d+e+f=24

So the second step multiply both sides of our second equation by 2 giving us:

a+b=4.

Now if a+b+c+d+e+f=24 and a+b=4, then c+d+e+f=20 since 20+4=24.

So the average of the four numbers c,d,e, and f is 20/4=5.

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=(100-40)/2-30 =60/2-30 =30-30 =0
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3 years ago
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Which is the same solution a x2-16x+12 =0
Phoenix [80]

Answer:

An equation which has the same solution as the given equation is:

( x - 18 ) ( x + 2 ) + 48 = 0 ....

Step-by-step explanation:

The given expression is:

x2-16x+12

Break the constant term:

x^2-16x-36 +48=0

[x^2-16x-36] +48=0

Now break the middle term inside the brackets

(x^2-18x+2x-36)+48=0

Take the common

[x(x-18) +2(x-18)]+48=0

(x-18)(x+2)+48=0

Thus an equation which has the same solution as the given equation is:

( x - 18 ) ( x + 2 ) + 48 = 0 ....

7 0
3 years ago
Research scientists need a certain type of bacteria to conduct an experiment. There are 2,500 bacteria in a certain culture. The
pychu [463]

Answer:

  7 days

Step-by-step explanation:

At 25% per day, it will take approximately 3 days to double the population, so approximately 6 days for the population to quadruple. Checking that number, we find it is not quite enough for the experiment, so another day is required.

"Guess and check" as a method of solution works especially well if you have an automated checker to evaluate your guess. A graphing calculator or spreadsheet can work well for this.

_____

We guess 3 days as the doubling time using the "rule of 72" that says the product of percentage and doubling time is about 72. That is, 72/25 ≈ 3. (This is only a very rough approximation of doubling time, best for rates near 8%.)

7 0
3 years ago
Write equation for the center(-1,0) radius of 6
Ira Lisetskai [31]

Answer:

(x+1)² + y² = 36

Step-by-step explanation:

<u>Equation of a circle:</u>

(x-h)² + (y-k)² = r²

Center: (h,k)

Radius: r

Given a center of (-1,0) and a radius of 6, we have for our equation:

(x-(-1))² + (y-0)² = 6²

(x+1)² + y² = 36

3 0
3 years ago
Solve this system of linear equations. Separate
Gelneren [198K]

Answer:

x 2 y -4

Step-by-step explanation:

13x = -54 -20y give it is A

-10x = 60 + 20y give it is B

A + B the sum of the left side of equation is equal to the sum of the right side of equation

13 + (-10x) = -54 -20y + 60 + 20y

3x = 60-54

3x = 6

x=2

so put the x value in A or B equation you can receive y value (B is easier)

y = -4

7 0
3 years ago
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