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shtirl [24]
3 years ago
14

Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are goi

ng on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900
Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

Answer:

<h2>He is going to pay 40*900= $36000 for the reservation</h2>

Step-by-step explanation:

Step one:

We are told that they need at least 50 total rooms.

Joe has paid for 16 rooms since Joe can only reserve rooms in block, and a block has 8 rooms, then Joe has paid for 2 blocks.

There is a deficit of 50-16= 34rooms

Required

The Number of blocks Joe need to reserve in addition is 34/8

=4.25

The blocks can not be in decimal, so we need to approximate, which is 5 blocks

Therefore Joe is going to reserve 5*8= 40 rooms

<u>He is going to pay 40*900= $36000 for the reservation</u>

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Answer:

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Step-by-step explanation:

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7 0
3 years ago
A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150
Lapatulllka [165]

Using an linear function, we have that:

  • The inequality is: -150D + 7250 < 2000
  • The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

  • A warehouse contains 7250 books in it, hence b = 7250.
  • Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

B(D) = -150D + 7250

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

B(D) < 2000

-150D + 7250 < 2000

Then:

-150D < -5250

150D > 5250

D > \frac{5250}{150}

D > 35

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

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What is the solution to the equation -2(1+5a)=-6(a+3) ?
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The solution is a=4

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16-10a=-6a

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16=4a

divide by 4

4=a


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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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