Answer:
22 cards
Step-by-step explanation:
Set up a ratio.




Check: Add 22 to 39. 22+29=51
34/51 = 2/3
Have a great day
Answer:
8b + 27 ≤ - 29
Step-by-step explanation:
Sum of a number can be written as x or in this case as b because it is an unknown number.
b is multipled by 8 so 8b
"and 27" indicates an addition so therefore, 8b + 27
"at most -29" This is a little bit tricky but ultimately it means 8b + 27 cannot be more than -29. Therefore, it must be lesser than.
However there is a line underneath that lesser than sign meaning lesser than or equal to. I believe that "at most" indicates equal to.
Other than the lesser than or equal to sign I'm unsure about, this inequality should be correct.
a.
In order to find the common ratio, we just need to divide a term by the term that comes before it.
So using the terms 20 and -5, we have:

b.
The recursive rule can be found with the formula:

Where an is the nth term and q is the ratio. So we have:

c.
The explicit rule can be written as:

Where an is the nth term, a1 is the first term and q is the ratio. So:
.............................
Answer: x-6
Explanation: x^2 is a DOTS, or difference of two squares. 36 is a perfect square and x^2 is a perfect square, and you are finding the difference. Therefore, you can do (x+6)(x-6). This works with any number. If there was x^2-16, it could be factored to (x+4)(x-4)