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Cloud [144]
3 years ago
13

A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player ha

s is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.
Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0

Answer:

2g + a = 42 and a + g = 24

Step-by-step explanation:

Let number of goals is represented by "g" and number of assists represented by "a"

By the statement "Combined number of goals and assists is 24"

so equation will be a + g = 24 ---------(1)

Second statement says

"Total numbers of points of goals and assists is 42"

2g + a = 42 --------(2)

Therefore, 2g + a = 42 and a + g = 24 is the system of equations to determine the number of goals and assists golfer has.

suter [353]3 years ago
8 0

Answer:

The correct answer is B

Step-by-step explanation:

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On section AB, whose length is 192 cm, take the point C so that AC: CB = 1: 3. The point D is taken on the AC section so that CD
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  • 112 cm

Step-by-step explanation:

<u>Given:</u>

  • AB = 192 cm
  • AC : CB = 1 : 3
  • CD = BC/12
  • The distance between midpoints of AD and CB = x

<u>Find the length of AC and CB:</u>

  • AC + CB = AB
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  • 4AC = 192
  • AC = 192/4
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<u>Find CB:</u>

  • CB = 3AC = 3*48 = 144 cm

<u>Find the length of CD:</u>

  • CD = BC/12 = 144/12 = 12 cm

<u>Find the length of AD:</u>

  • AD = AC - CD = 48 - 12 = 36 cm

<u>Find the midpoint of AD:</u>

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