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Volgvan
3 years ago
11

A contest on a game show receives -25 points for each wrong answer what integer represents the change in periods after three wro

ng answers
Mathematics
1 answer:
Paladinen [302]3 years ago
7 0
To represent the change in points, you can think of it in two ways:

1.  You will go down 25 points for every wrong answer, so -25 + -25 + -25 would represent what is happening.  They are all negative, so you keeping moving down in value.  

2.  You can also think of this as 3 groups of -25. 

Both answers are -75.  The answer is negative because the change was down in points.

-75 is the integer that represents this situation.
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Answer:

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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:

K+M=47...(1)

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

K+Z=126...(2)

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

M+Z=93...(3)

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

K-M=126-93

K-M=33

K=33+M

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

33+M+M=47

33-33+2M=47-33

2M=14

M=\frac{14}{2}=7

Therefore, Matt has 7 cards.

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