Answer:
x = -3, x = 0 is a extraneous solution
Step-by-step explanation:
Step 1: Cross-multiply
3x² = 4x² + 3x
Step 2: Isolate <em>x</em>'s
0 = x² + 3x
Step 3: Factor
0 = x(x + 3)
Step 4: Find roots
x = 0, -3
Step 5: Double check work
Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!
Answer:
£110
Step-by-step explanation:
We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.
Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:

We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:

Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:

Now we add our totals for a grand total of...

Answer:
<em>£ 449.20</em>
Step-by-step explanation:
We have to reduce 465.98 by 3.6%
Firstly, lets convert the percentage to decimal by dividing by 100. So we have:
3.6/100 = 0.036
Lets find 3.6% of 465.98
That is:
0.036 * 465.98 = 16.77528
This is the "LESSENED" amount. So the final amount would be:
465.98 - 16.77528 = 449.20472
<em>Rounding to 2 decimal places, £ 449.20</em>
Step-by-step explanation:
5⁰= 1
2–3 means 1/2³
1/8
=0.125