Mathematics, 22.02.2020 05:29 therronvictorjr

Together Kate and Matt have 47 cards. If Kate and Zach combine cards they have 126. If Matt and Zach combine they have 93. How many cards does Matt have

Answers: 3

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Answer from: alott1121

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:

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.

Answer from: paytonpaige22

Matt has 7 cards.

Step-by-step explanation:

Let x represent the number of cards that Kate has.

Let y represent the number of cards that Matt has.

Let z represent the number of cards that Zach has.

Together Kate and Matt have 47 cards. This means that

x + y = 47

y = 47 - x

If Kate and Zach combine cards they have 126. This means that

x + z = 126

z = 126 - x

If Matt and Zach combine they have 93. This means that

y + z = 93 - - - - - - - - - 1

Substituting y = 47 - x and z = 126 - x into equation 1, it becomes

47 - x + 126 - x = 93

47 + 126 - x - x = 93

173 - 2x = 93

2x = 173 - 93

2x = 80

x = 80/2 = 40

The number of cards that Matt has is

y = 47 - x = 47 - 40

y = 7

Answer from: Quest

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*

Answer from: Quest

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.

Find the value of y. (note: the line passing through the center of the circle is a diameter.)

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