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amm1812
3 years ago
13

Michael and kathryn bowl together and their combined total score for one game was 425 points. Michael's score was 70 less than t

wice kathryn's. which system of equations models the problem if x represents kathryn's score and y represents michael's score ?
A. x+y=70
y=2x-425

B. x-y=425
y=2x-70

C.x+y=425
y=2x-70

D. x+y=425
y=2x+70
Mathematics
2 answers:
Ostrovityanka [42]3 years ago
6 0
A is the answer i just took the quiz.
statuscvo [17]3 years ago
3 0

Answer:

Option C is correct

x+y = 425

y = 2x-70

Step-by-step explanation:

Here, x represents Kathryn's score and y represents Michael's score.

As per the statement:

Michael and Kathryn bowl together and their combined total score for one game was 425 points.

⇒x+y = 425

It is also given that Michael's score was 70 less than twice Kathryn's.

⇒y = 2x-70

Therefore, the system of equations models the problem is:

x+y = 425

y = 2x-70

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5 0
3 years ago
A one year membership to a gym Costa $725 the registration fee is $125 and the remaining amount la paid monthly define a variabl
konstantin123 [22]

Heyo. Let's go ahead and set this problem up

It should look like this

12x + 125 = 725

The variables can be another letter, doesn't matter.

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3 0
3 years ago
A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl
lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

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Subtract 2 from both sides

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y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

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Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0
3 years ago
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