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Allisa [31]
2 years ago
14

In a coordinate plane, triangle ABC has vertices A (1, 1), B (1, 5), and C (5,1). Triangle ABC is translated 3 units right and 2

units down, resulting in triangle A'B'C'. Which rule best describes the transformation of the triangle?
a-(x, y) → (-3x, 2y)
b-(x, y) → (3x, -2y)
c-(x,y) → (x -3, y +2)
d-(x, y) → (x +3, y - 2)
Mathematics
1 answer:
myrzilka [38]2 years ago
7 0

Answer:

\frac{4}{15}

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The ratio of runners to swimmers was 3:2. When 28 runners dropped out of the competition, the ratio became 5:6. How many total s
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The total of 42 swimmers are competing

Step-by-step explanation:

The given is:

  • The ratio of runners to swimmers was 3 : 2
  • When 28 runners dropped out of the competition, the ratio became 5 : 6

We need to find how many total swimmers are competing

∵ The ratio of runners to swimmers was 3 : 2

- Multiply each term of the ratio by x

∴ There are 3x runners and 2x swimmers

∵ 28 runners dropped out of the competition

∴ The number of runners who complete = 3x - 28

∵ The ratio became 5 : 6

- Equate the ratio between the new number of runners and the

   number of swimmers by 5 : 6

∵ The new number of runners = 3x - 28

∵ The number of swimmers = 2x

∴ \frac{3x-28}{2x}=\frac{5}{6}

- By using cross multiplication

∴ 6(3x - 28) = 5(2x)

- Simplify both sides

∴ 18x - 168 = 10x

- Add 168 to both sides

∴ 18x = 10x + 168

- Subtract 10x from both sides

∴ 8x = 168

- Divide both sides by 8

∴ x = 21

∵ The number of swimmers is 2x

∵ x = 21

∴ The number of swimmers = 2(21) = 42

The total of 42 swimmers are competing

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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Explanation:

The number of Beverages present at the store ;

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Fruit Punch = 1.5L

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Now, we have to buy exactly 10 liters but it should be at least one container of each beverage.

Soda + Apple juice + Fruit Punch + Lemonade = 8L

So we need 2 L more.

The only way of doing this is by either having 2 containers of soda or 2 containers of lemonade.

We can conclude that the correct answer is:

Answer:The combination of beverages she can purchase is:Soda = 2 containerApple juice = 1 containerFruit punch= 1 containerLemonade = 1 container

5 0
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Should be something like 40(8)+ ?= 477$
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