Hello, sorry can’t help with that. i guess that’s just the way you are.
Answers: Choice A and Choice C
Saying "$45 per ticket" is the same as saying "$45 for every single ticket" or "one ticket costs $45"
Similarly, "30 seats for every row" is equivalent to "each row has 30 seats"
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choices B and D aren't unit rates because the second value mentioned isn't 1. You would have to divide to get to a unit rate.
choice B: 5/3 = 1.67 so there are roughly 1.67 shows every week
choice D: 100/5 = 20 meaning its $20 per ticket
So, we are given 5^8. It was happy and content. But then... we had to write it as a quotient of two exponential terms with the same base in four different ways and use negative or zero exponents and ahhhhhh!!!
... anyways...
We'll build a quotient of two exponential terms with the same base 5. Something like this:
5^a / 5^b
We need them to make 5^8 when we are done. I'll first use a zero exponent.
[1] Now, zero exponents are nice since they make things equal 1. Like 5^0 = 1. Well, obviously, 5^8 / 1 = 5^8. So, our first quotient can be:
5^8 / 5^0
Done.
[2] Let's try this on its head. This one's a little weird. Remember that negative exponents flip things upside down. So 5^-8 = 1/5^8 and 1/5^-8 = 5^8 for example. In fact... that's the answer!
5^0 / 5^-8 = 5^8
Done.
[3] Let's try to not use 0s or 8s. We can be clever and do something like this:
5^-1 / 5^-9
What the heck is that? Well, we just flip them and get:
5^-1 / 5^-9 = 5^9 / 5^1 = 5^8
Done.
[4] Can you come up with one last trick on your own? Try it!
Distributive property
(7 * 4y) + (7*9) = 28y + 63
