So we have 2 variables here: tacos and orders of nachos.
When we translate the paragraphs into equation:

Now, in this situation we can make use the elimination method by converting 3n to -27n.

Add both equations:

So we find that one taco costs $2.75.
We can plug this into any of the first two equations to find n:

So one order of nachos cost $1.40.
<span>Simplifying
k3 + 4k2 + 4k = -1k3 + 10k
Reorder the terms:
4k + 4k2 + k3 = -1k3 + 10k
Reorder the terms:
4k + 4k2 + k3 = 10k + -1k3
</span><span>
</span>
Answer:
40
Step-by-step explanation:
32/80 = 0.4
0.4 x 100 = 40
Step-by-step explanation:
Day 1: 1200g / 2¹ = 600g
Day 2: 1200g / 2² = 300g
Day 3: 1200g / 2³ = 150g
The pattern is the amount of radioactive substance on day n is 1200 / (2^n).
Therefore, we have to find n where 2^n > 1200.
The first such n is 11 (2¹¹ = 2048).
Hence, there will be less than 1 gram on day 11.