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seropon [69]
2 years ago
6

The least common multiple of two whole numbers is 60. The ratio of the greater number to the lesser number is 10 : 3. What are t

he two numbers
Mathematics
1 answer:
Gala2k [10]2 years ago
4 0

Answer:

20 and 3

Step-by-step explanation:

Hello!

The LCM of the two numbers is 60.

The two numbers are split into 13 parts (10 + 3).

Let each part be x:

  • 10 * x
  • 3 * x

10 * x * 3 * x = 60

But we want the least common multiple, so we can rewrite it as:

  • 10 * 3 * x = 60
  • 30 * x = 60
  • 30x = 60
  • x = 2

Now we can solve for 10x and 3x:

  • 10x = 10(2) = 20
  • 3x = 3(2) = 6

The two numbers are 20 and 3.

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mamaluj [8]

Answer:

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Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A:

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet  at a rate of 7.5 ft/s

Part B:

Between 2 and 4 seconds, the height stays constant at 75 feet.

Part C:

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s

Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.

Part D:

From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.

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