Answer:
Matt has 7 cards.
Step-by-step explanation:
Let K, M and Z represent number of cards that Kate, Matt and Zach have.
We have been given that together Kate and Matt have 47 cards. We can represent his information in an equation as:

We are also told that Kate and Zach combine cards they have 126. We can represent his information in an equation as:

Further, Matt and Zach combine they have 93. We can represent his information in an equation as:

Upon subtracting equation (3) from equation (2), we will get:



Upon substituting this value in equation (1), we will get:




Therefore, Matt has 7 cards.
Answer: i don't know
Step-by-step explanation:
Answer:
-4x + y + 6z
Step-by-step explanation:
2x + 5y - z + (-6x - 4y + 7z) < distribute positive 1 to (-6x - 4y + 7z)
2x + 5y - z - 6x - 4y + 7z < combine like terms to get the answer
2x - 6x = -4x
5y - 4y = y
-z + 7z = 6z
our new expression is:
-4x + y + 6z we cannot simplify this any further, so this is our answer
Answer:
(a^8)/(b^9)
Step-by-step explanation:
Two rules of exponents come into play.
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
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Applying the first rule, we have ...
(a^3)/(a^-5) × (b^-2)/(b^7) = a^(3 -(-5)) × b^(-2 -7) = a^8 × b^-9
Applying the second rule gives the simplified form ...
= (a^8)/(b^9)