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Art [367]
3 years ago
15

The ratio of coins to notes in a bag is 3 to 8. If there are a total of 24 coins then how many notes are there? 

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0
Set up a proportion 
3 coins:8 notes and then the other one 24 coins : x (unknown notes)
they have a relationship so we can set them equal to each other.
3/8=24/x cross multiply: 8 * 24 = 192
Now divide that by 3: 192/3 = 64 
So there are 64 notes in the bag
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Convert 50 tons to pounds
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5 0
3 years ago
Read 2 more answers
A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce
never [62]

Answer:

The probability that the dart lands inside the triangle is 0.25

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

  number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

# n(S) means set of all possible outcomes of an event

- P(A) < 1

* Lets solve the problem

- A rectangular dartboard has an area of 648 cm²

- The triangular part of the dartboard has an area of 162 cm²

- A dart is randomly thrown at the dartboard

- The dart lands in the rectangle

∴ The area of the rectangle is the set of all possible outcomes n(S)

- The probability P(A) that the dart lands inside the triangle

∴ The area of the triangle is set of favorable outcomes of an

   event n(E)

∵ P(A) = n(E) ÷ n(S)

∴ P(T) = area of the triangle ÷ area of the rectangle

∵ Area of the rectangle is 648 cm²

∴ n(S) = 648

∵ The area of the triangle is 162 cm²

∴ n(E) = 162

∴ P(T) = 162 ÷ 648 = 1/4 = 0.25

* The probability that the dart lands inside the triangle is 0.25

5 0
3 years ago
Find the least common multiple of 18, 24 *
emmainna [20.7K]

Answer:

72

Step-by-step explanation:

Find the prime factorization of 18

18 = 2 × 3 × 3

Find the prime factorization of 24

24 = 2 × 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 3

LCM = 72

i hope this helps :)

7 0
3 years ago
Read 2 more answers
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