All categories

3 years ago

(4/x - z/y=0) (10/x+z/y=0)

Mathematics

1 answer:

galina1969 [7]3 years ago

4 0

Answer:

Some of the other answers are good examples of solving a system of three equations in three unknowns, which is what this problem is asking. Though the simplest way to solve this problem is actually to notice that, if we sum the three equations, we get:

X + Y = 10

X + Z = 20

+ Y + Z = 24

----------------

2X + 2Y + 2Z = 54

Factoring out the 2, we have 2(X + Y + Z) = 54, and dividing both sides by 2 reveals that X + Y + Z = 27.

Step-by-step explanation:

hopefully this helps

You might be interested in

A man is six times as old as his son. In 9 years he will be three times as old as his son. How old are they now?

harkovskaia [24]

Answer:

f, s={36,6} is your answer.

Step-by-step explanation:

PREMISES

6s+9=3(s+9)

ASSUMPTIONS/SUFFICIENT CONDITION(S)

Let the son's current age s=s

Let the father's current age f=6s

CALCULATIONS

6s+9=3(s+9)

6s+9=3s+27

6s-3s+(9–9)=3s-3s+(27–9)

3s+0=0+18

3s=18

3s/3=18/3

and,

if s=6, then

6s=

PROOF

If f,s=36, 6, then the equations

6s+9=3(s+9)

6(6)+9=3(6+9)

36+9=3(15) and

45=45 establish the roots (zeros) f, s=36,6 of the mathematical statement 6s+9=3(s+9)

7 0

3 years ago

The region bounded by y=5/x, y=0, x=1, and x=3 is rotated about the x-axis. find the volume of the resulting solid.

brilliants [131]

Volume of Revolution = $\pi \int\limits^b_a {y^{2}} \, dx$
Volume of Revolution = $\pi \int\limits^3_1 { (\frac{5}{x})^{2}} \, dx$
= $\pi \int\limits^3_1 ({\frac{25}{x^{2}}) \, dx$
= $25\pi \int\limits^3_1 ({\frac{1}{x^{2}}) \, dx$
= $25\pi \int\limits^3_1 ({x^{-2}}) \, dx$
= $25\pi \ ^{3} [-x^{-1}] _{1} 
$
$= 25\pi\ ((-1/3) - (-1/1)) \\
= 25\pi\ (2/3) \\
= 50/3 \pi\ units^{3}$

6 0

4 years ago

Determine the cosine of ∠B.

Blizzard [7]

I hope this helps you