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Usimov [2.4K]
3 years ago
13

Joe used a coupon that allowed him to stay 5 nights at the Pleasant Dreams hotel for a total of $410. If he had not used the cou

pon, his room would have cost $10 more each night. How much would Joe have paid for each night without the coupon?
Mathematics
1 answer:
Dovator [93]3 years ago
6 0

Answer:

$92

Step-by-step explanation:

To know the price of each night without the coupon, first we need to calculate the price of each night with the coupon, and them sum $10.

To calculate the price per night, we need to divide the total price paid for all nights by the number of nights, so

410/5 = 82

The price for each night with coupon is $82, so if we sum $10, we have the price for each night without the coupon:

82+10 = $92

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Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people c
mariarad [96]

Answer:

a) 11,880

b) 7,770

Step-by-step explanation:

The number of teachers that volunteer = 6 teachers

The number of students that volunteer = 12 students

The number of people in the committee = 5 people

a) The exact number of student on the committee = 3 student

Therefore, the number of teachers in the committee of 5 = 5 - 3 = 2

The number of teachers in the committee = 2 teachers

We get;

The number of committees that can be made = ₁₂C₃ × ₆C₂ = 792×15 = 11,880

b) When there is at least one teacher and at least one student on the committee, we have;

₁₂C₄ × ₆C₁ + ₁₂C₃ × ₆C₂ + ₁₂C₂ × ₆C₃ + ₁₂C₁ × ₆C₄ = 7,770

The number of committees having at least one teacher and at least one student = 7,770

4 0
3 years ago
Estimate the solution of system equation <br> y = -2x-5<br> y = 2x-2
pogonyaev

Answer:

(-3/4,-7/2)

Step-by-step explanation:

7 0
3 years ago
State whether the data are best described as a population or a sample. The U.S. Department of Transportation announces that of t
statuscvo [17]

Answer:

The registered passengers vehicle is he population and the one that are electro-gas hybrids forms a sample of the population.

Step-by-step explanation:

We are given the following in the question:

The U.S. Department of Transportation announces that of the 250 million registered passenger vehicles in the US, 2.1% are electro-gas hybrids.

Population and sample:

  • Population is collection of all the observations of individuals of interest.
  • Sample is a subset of population.
  • Population is always larger than the sample.
  • Population is the universal set of all observations.

Thus, for the given case,

Individual of interest:

250 million registered passenger vehicles in the US

Population of interest:

250 million registered passenger vehicles in the US

Sample:

2.1% electro-gas hybrids.

Thus, the registered passengers vehicle is he population and the one that are electro-gas hybrids forms a sample of the population.

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3 years ago
Math question screen shot down below
Sav [38]

Answer:

48

Step-by-step explanation:

100-52=48

7 0
3 years ago
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2/3 of the product of 3/8 and 16
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3/8 of 16 = (16 / 8) x 3
= 2 x 3
= 6

2/3 of 6 = (6 / 3) x 2
= 2 x 2
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4 0
3 years ago
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