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Novosadov [1.4K]
3 years ago
5

How many days should it take the remaining 3 workers to build a barn?

Mathematics
1 answer:
Anna [14]3 years ago
8 0

9514 1404 393

Answer:

  • 15 days
  • 7 workers

Step-by-step explanation:

The effort required to complete a task is often estimated in terms of person·days. Amy's barn-building task takes an effort of ...

  (5 workers)(9 days) = 45 worker·days

If there are only 3 workers, the time required is ...

  time = (45 worker·days)/(3 workers) = 15 days

__

If the barn is to be build in 7 days, the number of workers required is ...

  (45 worker·days)/(7 days) = 6 3/7 workers

A minimum of 7 workers are required to build the barn in 7 days or less. (6 workers will take 7 1/2 days, so aren't enough.)

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4 years ago
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Marti has a jar of 161 coins consisting of pennies and nickels. The total value of the coins is $3.09. How many nickels does Mar
rodikova [14]

Okay, so there are nickels and pennies in this jar.

So, let's call the number of pennies X

Since there are 161 coins altogether, the number of nickels is (161 - X)

So now we solve the equation:

.01X + .05(161 - X) = 3.09

.01X + 8.05 - .05X = 3. 09

4.96 = .04X

124 = X

So, there are 124 pennies

Therefore, there are 161 - 124 = 37 nickels

Let's check our answer:

124 x .01 + 37x .05 = 1.24 + 1.85 = 3.09

It works!

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3 years ago
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Three people are traveling and need to exchange the currency of their native country
garri49 [273]

Answer:

Step-by-step explanation:

1. Exchange rate = 1 U.S. dollar per 0.9009 foreign currency

i. U.S. Currency (in dollars) = 73.00

   Foreign currency = 81.03

ii. U.S. Currency (in dollars) = 20.00

   Foreign currency = 22.20

2. Exchange rate = 1 U.S. dollar per 1.3699 foreign currency

i. U.S. Currency (in dollars) = 30.00

   Foreign currency = 21.90

ii. U.S. Currency (in dollars) = 50.00

   Foreign currency = 36.50

3. Exchange rate = 1 U.S. dollar per 1.5873 foreign currency

i. U.S. Currency (in dollars) = 25.00

   Foreign currency = 15.75

4. Exchange rate = 1 U.S. dollar per 1.11 Australian dollar

i. U.S. Currency (in dollars) = 72.00

   Equivalent Australian dollar = 72.00 x 1.11 = 79.92

5 0
4 years ago
What is the equation of the line in point-slope form?
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Answer:

What is the decent number of caloies a normal human has to digest.

Step-by-step explanation:

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The rent in an urban neighborhood is normally distributed. The mean is $650 per month with a standarddeviation of $50. Estimate
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Solution

The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.

Mean is $650

Standard deviation = $50

\begin{gathered} \mu=650 \\ \sigma=50 \end{gathered}Z=\frac{x-\mu}{\sigma}=\frac{600-650}{50}=-\frac{50}{50}=-1Z=\frac{x-\mu}{\sigma}=\frac{750-650}{50}=\frac{100}{50}=2

[tex]P(-1

Therefore the estimated percent of apartment residents = 81.86%

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