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VikaD [51]
3 years ago
14

Greta and Xavier, the boy she was babysitting, were playing basketball together. Her score was 32 points, and his score was 19 p

oints. Greta wanted to make the game more fair, so she called a time-out and modified the rules a bit. Greta explained that, for the rest of the game, she would get 3 points per basket, and Xavier would get 4 points per basket. Then they played a bit longer. After the time-out, they both made the same number of baskets and ended up with a tied score. How many baskets did each person make after the time out? How many points did each person have at the end?
Mathematics
1 answer:
AnnZ [28]3 years ago
3 0
Let the number of baskets be x
Let the number of points be y

32 +3x = y
19 + 4x = y

Rearrange both equations then solve them as simultaneous equations
32 = y - 3x
19 = y - 4x

y - 3x = 32
- y - 4x = 19

x = 13

Substitute x into one of the equations
y - 3x = 32
y - (3 x 13) = 32
y - 39 = 32
y = 32 + 39
y = 71

Number of baskets (x) = 13
Number of points (y) = 71
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Answer:

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Step-by-step explanation:

Here, we want to write the algebraic statements as expressions;

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The square of y is y^2

The sum of the squares is x^2 + y^2

ii) Product of x and y subtracted from 9

The product of x and y is x * y = xy

Subtracting these from 9, we have;

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3 years ago
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zzz [600]
Yes. Your answer is correct
5 0
3 years ago
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alexdok [17]

Interpreting the situation, it is found that Marjorie will have 240 left after paying her penalty.

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A similar problem is given at brainly.com/question/12166019

6 0
2 years ago
I’m not sure about this please help
castortr0y [4]

Answer:

3

Step-by-step explanation:

Evaluate x/4 + 6 (x - 12) where x = 12:

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Hint: | Look for the difference of two identical terms.

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Hint: | Any number times zero is zero.

0×6 = 0:

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Hint: | Simplify the expression.

Write 3 + 0 as 3:

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3 years ago
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Step-by-step explanation:

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