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kramer
3 years ago
11

all unicorns on rainbow island are either green or yellow. every time the clock strikes midnight the unicorns change their color

. Yesterday there were 6 green for every 5 yellow ones. Today there are 3 green one and 4 yellow ones. What is the smallest possible number of unicorns living on rainbow island
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
6 0

77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).

You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.

e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?

To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.

In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.

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4 x 3 =<br> Known fact: 2 X 3 =<br> Double the product: 6 + 6 =
gulaghasi [49]

Answer:

4×3= 12

2x3=6

6+6=12

Is this what you are asking for?

4 0
2 years ago
If the second hand of a clock has a length of 10 cm, find the distance the tip of the second hand travels in 45 seconds. Give an
UkoKoshka [18]

The distance traveled by the second hand of the clock is 0.471 m.

<h3 />

To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.

<h3>Formula:</h3>
  • L = 2πr∅/360.................. Equation 1

<h3> Where: </h3>
  • L = distance traveled by the tip of the second hand.
  • r = Length of the second hand
  • ∅ = angle formed by the second hand of the clock
  • π = pie

From the question,

<h3>Given:</h3>
  • r = 10 cm = 0.1 m
  • ∅ = (360×45/60) =  270°
  • π = 3.14

Substitute these values into equation 1

  • L = 0.1×2×270×3.14/360
  • L = 0.471 cm.

Hence, The distance traveled by the second hand of the clock is 0.471 m

Learn more about distance traveled here: brainly.com/question/4931057

<h3 />

7 0
2 years ago
The hours of daylight,y, in Utica in days, x, from January 1, 2013 can be modeled by the equation y=3.06sin(0.017x-1.40) + 12.23
defon
The month of January has 31 days, so from January 1st to February 14th, there are 31 + 14 or 45 days, namely x = 45.

y = 3.06 * sin[ 0.017(45) - 1.40 ] + 12.23.

make sure your calculator is in Degree mode.
8 0
3 years ago
Read 2 more answers
If
sp2606 [1]

Answer:

51

Step-by-step explanation:

4x12-3x3+12

48-9+12=51

7 0
2 years ago
Solve the equation. a/6 - 11 = 25​
blsea [12.9K]

Answer:

a=216.

Step-by-step explanation:

What you do is you need to get a by itself.

a/6-11=25. You first add 11 to both sides.

a/6=36. Next you will times 6 on both sides to get

a=216 as your answer.

5 0
2 years ago
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