Answer:
14/45
Step-by-step explanation:
So we have the fraction:

We can do this algebraically. Follow to following steps:
Let's let this number equal to n. Thus:

Since there is only 1 digit repeating, let's multiply everything by 10. So:

Now, subtract n from both sides:

On the left, substitute the number for n. On the right, combine like terms:

All of the 1s will cancel. So:

Subtract:

Divide both sides by 9:

Remove the decimal by multiplying both sides by 10:

Reduce:

And we're done!
Use a calculator to check:

Answer:
47.04 square feet
Step-by-step explanation:
The equations are dependent (they're the same equation).
If you multiply the bottom one by 5, you get the top one.
Answer:
w = (cv +dy) / (cb - ad)
Step-by-step explanation:
Multiply through by c
aw + y = c(bw + v) / d Multiply by d
d(aw + y) = c(bw + v) Remove the brackets
daw + dy = cbw + cv Subtract dy from both sides.
daw +dy - dy = cbw + cv -dy
daw = cbw + cv - dy Subtract cbw from both sides
daw - cbw = cbw - cbw + cv - dy
daw - cbw = cv - dy Isolate W on the left.
w(da - cb) = cv - dy Divide by cb - ad on both sides.
w = (cv - dy) / (ad - bc) Answer
Answer:
1:3
Step-by-step explanation:
The required ratio will be ,
7:21
= 1 :3