Comparing with the original expression, the value that will go into the green box is 5
<h3>Exponents and indices</h3>
Given the indices expression below;

Since 4^-5 is equivalent to 1/4^5, hence the given expression will be equivalent to;

Comparing with the original expression, the value that will go into the green box is 5
Learn more on exponent here: brainly.com/question/11975096
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The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that
m∠ABC and m∠CBD = (3x − 6).
So, you're equation should be (3x - 6) + (3x - 6) = 180.
You would then solve to get 6x - 12 = 180, 6x = 192, x = 32
x=32, and we used the Linear Pair Theorem (C)
Answer:


Step-by-step explanation:
Let A represent number of adult t-shirts and C represent number of child t-shirts.
We have been given that adults t-shirt are $5 child t-shirt are $2.50, so cost of A adult t-shirts would be
and cost of C child t-shirts would be
.
We have been given that Jerome need at least 200 adults t-shirt. This means the number of adult t-shirts should be greater than on equal to 200.
We can represent this information in an inequality as:

We are also told that Jerome will spend no more than $1500 on t-shirt. This means that cost of A adult t-shirts and C child t-shirts should be less than or equal to 1500.
We can represent this information in an inequality as:

Therefore, our required system of inequalities would be:


Yeah, x= 7/2 and y= -5/2
Please mark as brainliest and I hope this helps