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vaieri [72.5K]
3 years ago
15

If x+y= 15, y+z=25, and x+z=20, what is the arithmetic mean of x,y, and z

Mathematics
1 answer:
Mama L [17]3 years ago
6 0
X + y = 15
Rearrange this to isolate for x.
x = 15 - y


x + z = 20
Rearrange this to isolate for x also.
x = 20 - z

Since they are both equal to x, that means they are equal to each other (x = x)

Set them equal to each other. 

15 - y = 20 - z
Now, isolate for y.

y = 15 - 20 + z

Now, use y + z = 25 and isolate for y.
y = 25 - z

Since they are both equal to y, we set them equal to each other.

15 - 20 + z = 25 - z
Solve for z
z + z = 25 - 15 + 20
2z = 30
2z/2 = 30/z
z = 15

Now you can plug the value for z into the other equations to find y and x.

x + z = 20
x +15 = 20
x = 20-15
x = 5

y + z = 25
y + 15 = 25
y = 25 - 15
y = 10

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ziro4ka [17]

Answer:

9/20 yes, 4/15 not. See below

Step-by-step explanation:

Pick 9/20 and multiply numerator and denominator by 5:

9/20 = 45/100

We know that if we divide a number by 100 we need to move the coma as two places left, so:

9/20 = 45/100 = 0.45

And this is a terminal decimal as we know where it ends.

On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):

4 |_ 15

we can divide 4 by 15, so we use 40 and begin with a comma

40 |_ 15

      0.

15 enters 2 times in 40 with a rest of 10, so:

40 |_ 15

  30  0.2

  100

100 divided by 15 is 6 and we have 10 as rest again, and again and again...

40 |_ 15

  30  0.266.....

  100

    100

      ....

So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...

6 0
3 years ago
Find the slope of the line that passes through (−6, 8)&(−2, 2)
MatroZZZ [7]

Answer

y= 7/4x

Step-by-step explanation:

6 0
2 years ago
Subtract (3x^3+4x^2)-(2x^3+3x^2-x)
insens350 [35]

Answer:

X^3 + x^2 + x

Step-by-step explanation:

First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.

4 0
2 years ago
Which represents where f(x) = g(x)? A) f(4) = g(4) and f(0) = g(0) B) f(–4) = g(–4) and f(0) = g(0) C) f(–4) = g(–2) and f(4) =
saul85 [17]

Answer:

B. f(-4) = g(-4), and f(0) = g(0)

Step-by-step explanation:

We are given two functions that have been graphed already. The points on the coordinate plane  where the  curve of g(x) intercepts that of f(x), are the values of x for each function, that would give us the same output (y).

Thus, for f(x) intercepts g(x) at the point where x = -4, y = 4.

Also, f(x) and g(x) intercepts at the point where x = 0, y = 4.

Therefore, the correct answer is f(-4) = g(-4), and f(0) = g(0)

6 0
3 years ago
What have I done wrong and where please help me
lys-0071 [83]
12x - 18 - 4x -2
12x - 4x = 8x (yours 12x - 4x = 8)
-18 - 2 = -20 (yours -18 -1 = 17)

answer:

8x - 20
6 0
3 years ago
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