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VikaD [51]
3 years ago
7

If it takes 5 hours to do 2/3 of a job, how long will it take to complete a job?

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0
I set it up as a ratio with hours on the top and the fraction of the job on the bottom.  It looks like this: 5/(2/3) / x/1, because 1 is the whole job if 2/3 is only a fraction of it.  Cross multiplying gives you 2/3x = 5. Solving for x gives you that it will take 7.5 hours to complete a whole job if it takes 5 hours to complete 2/3 of it.
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There are 500 students in a high school senior class. Of these 500 students, 300 regularly wear a necklace to
andre [41]

Answer:

<u>1. P(N) =  3/5</u>

<u>2. P(R) =  2/5</u>

<u>3. P(N and R) = 1/4</u>

<u>4. P(N or R) = 3/4</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of students in a high school senior class = 500

Number of students that regularly wear a necklace = 300

Number of students that regularly wear a ring = 200

Number of students that wear a necklace and a ring = 125

2. What is P(N), the probability that a senior wears a necklace?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)

<u>P(N) =  3/5</u>

3. What is P(R), the probability that a senior wears a ring?

Substituting with the real given values:

P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)

<u>P(R) =  2/5</u>

4. What is P(N and R), the probability that a senior wears a necklace and a ring?

Substituting with the real given values:

P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)

<u>P(N and R) = 1/4</u>

5. What is P(N or R), the probability that a senior wears a necklace or a ring?

P(N or R) = P(N) + P(R) - P(N and R)

Substituting with the real given values:

P(N or R) = 3/5 + 2/5 - 1/4

P(N or R) = 5/5 - 1/4

P(N or R) = 1 - 1/4

<u>P(N or R) = 3/4</u>

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The variables x and y have a proportional relationship, and y= 5/6 which equation represents this relationship? x= 3/4. Which eq
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Answer:

(d)  y= (1 1/9)x

Step-by-step explanation:

A proportional relation is described by the equation ...

 y = kx

Dividing by x shows how to find the value of k:

 k = y/x

For the given values of y and x, the value of k is found to be ...

 k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9

The relationship is represented by the equation ...

 y = (1 1/9)

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