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ch4aika [34]
2 years ago
6

There are blue, red and yellow counters in a bag in the ratio 9:6:3.

Mathematics
2 answers:
yKpoI14uk [10]2 years ago
5 0

Answer:

  • 36

Step-by-step explanation:

<u>The ratio is given:</u>

  • b : r : y = 9 : 6 : 3

<u>Let each equal part be x, then we have:</u>

  • b - r = 6
  • 9x - 6x = 6
  • 3x = 6
  • x = 2

<u>Total number of counters:</u>

  • 2(9 + 6 + 3) = 2(18) = 36
Kipish [7]2 years ago
4 0

Step-by-step explanation:

Let,

Blue counter = 9x

Red counter = 6x

Yellow counter = 3x

Given,

9x = 6x + 6

9x - 6x = 6

3x = 6

x = 6/3

x = 2

Now,

Total number of counter = 2(9) + 2(6) + 2(3)

=> 18 + 12 + 6

=> 36

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The standard form equation of the line connecting the two points is 2x +  y = -2

Linear equation in a standard form is given as Ax + By = C

where,

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To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

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Step 2: Find the y-intercept (b) of the line by substituting (x, y) = (-3,4) and m = -2 into y = mx + b (slope-intercept form)

4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2

Step 3: Write the equation of the line in slope-intercept form by substituting m = -2 and b = -2 into y = mx + b

y = -2x + (-2)\\y = -2x - 2

Step 4: Rewrite the equation in standard form (Ax + By = C)

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Add 2x to both sides

2x + y = -2x - 2 + 2x\\2x +  y = -2

The standard form equation of the points (-3,4) and (2,-6) is 2x +  y = -2

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

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