Answer:
x=2, y=3.
Step-by-step explanation:
0.2x + 0.3y = 1.3
0.4x + 0.5y = 2.3
From the first equation y = (1.3 - 0.2x) / 0.3
Substituting in second equation:
0.4x + 0.5(1.3 - 0.2x) / 0.3 = 2.3
Multiply through by 0.3:
0.12x + 0.5(1.3 - 0.2x) = 0.69
0.12x + 0.65 - 0.1x = 0.69
0.02x = 0.04
x = 2.
Substituting for x in equation 1:
0.2* 2 + 0.3y = 1.3
0.4 + 0.3y = 1.3
0.3y = 1.3 - 0.4 = 0.9
y = 3.
Check in equation 2:
0.4 * 2 + 0.5(3) = 0.8 + 1.5 = 2.3.
- Correct.
The rate to convert yards to meters is

So, if you multiply both sides by 8, you get

To round the answer to the nearest tenth, we need to choose between 7.3 and 7.4. Since the hundreths digit is 1, which is less than 5, 7.3 is nearest to 7.3152 than 7.4, so the correct answer is 7.3
Answer:
The mass of the pipe is 
Step-by-step explanation:
step 1
Find the volume of the steel pipe
The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe
so
![V=\pi [r2^{2}-r1^{2}]L](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Br2%5E%7B2%7D-r1%5E%7B2%7D%5DL)
we have
---> the radius is half the diameter
---> the radius is half the diameter


substitute
=59.66\ cm^{3}](https://tex.z-dn.net/?f=V%3D%283.14%29%5B1%5E%7B2%7D-0.9%5E%7B2%7D%5D%28100%29%3D59.66%5C%20cm%5E%7B3%7D)
step 2
Find the mass
The mass is equal to the density multiplied by the volume
so

2(5x + 2)^2 = 48
divide both sides by 2
(5x + 2)^2 = 24
square root both sides to clear the power of two.
5x + 2 = + - sqrt24
subtract 2 from both sides
5x = -2 + - sqrt 24
divide both sides by 5
x = (-2 +-sqrt24)/5 or decimal answers .58 and -1.38