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Alex
2 years ago
10

(Set up and solve the system, then answer the associated question)

Mathematics
1 answer:
Dimas [21]2 years ago
8 0

9514 1404 393

Answer:

  • red division: 6 teams
  • blue division: 5 teams

Step-by-step explanation:

We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.

  r - b = 1 . . . . . . there is 1 more red team than blue

  4.5r +4.2b = 48 . . . . . . total goals scored per week

__

Solving by substitution, we have ...

  r = b +1

  4.5(b +1) +4.2b = 48 . . . . substitute for r

  8.7b +4.5 = 48 . . . . . . . . simplify

  8.7b = 43.5 . . . . . . . . . . subtract 4.5

  b = 43.5/8.7 = 5 . . . . . divide by 8.7

  r = b +1 = 6 . . . . . . . . . find r

There are 6 red teams and 5 blue teams.

_____

<em>Additional comment</em>

The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.

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calculate the rate of change <br> -24 ,60) ,( -34, 50<br> please help
VLD [36.1K]

Step-by-step explanation:

the rate of change is the slope of the line connecting both points.

the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, here

x changes by -10 units (from -24 to -34)

y changes by -10 units (from 60 to 50).

the slope or rate of change is -10/-10 = 1/1 = 1

4 0
2 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Two parallel lines are cut by a transversal. What is the measure of angle6 ?
lukranit [14]

Answer:

A

Step-by-step explanation:

Angle 3 and angle 6 are congruent because they are alternate interior angles. Angle 3 plus angle 1 is 180 degrees. So you just subtract 123 from 180 (180-123) and you get 57 degrees.

5 0
3 years ago
A.) it has no reflectional symmetry
coldgirl [10]

Answer:

D.) It has rotational symmetry with an angle of rotation of 90 degrees.

Step-by-step explanation:

i) the shape shown in the figure has reflectional symmetry with four lines of symmetry. There are four lines of symmetry such that each line when drawn divides the shape into two exact halves such that if each half were too be folded across the line of symmetry it would produce the other half exactly.

Therefore Option A.) and Option B.) are not true

ii) It has  point symmetry which means if the shape is rotated by 180 degrees the shape does not change. Therefore Option C.) is not true.

iii) the shape has rotational symmetry because if the shape is rotated though any between 0 degrees and 360 degrees the shape appears to be unchanged.

Therefore the correct options are

D.) It has rotational symmetry with an angle of rotation of 90 degrees.

5 0
3 years ago
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lapo4ka [179]

Answer:

100.062

Step-by-step explanation:

100 + 62/1000 = 100 + 0.062 = 100.062

8 0
2 years ago
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