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Rudik [331]
1 year ago
11

A 5 hour conference booking is required fir an office party for 120 people which includes a buffet dinner hotel 5 has recently i

ncreased the Total chargers by 10% how much would thia Booking now cost from hotel 5

Mathematics
1 answer:
ankoles [38]1 year ago
7 0

Answer:

Total cost = $4,873

Therefore, the booking cost of hotel 5 would be $4,873

Step-by-step explanation:

Please refer to the attached table.  

The total cost includes the cost of the room and the cost of buffet dinner.

From the given table hotel 5,

The cost of the room for 120 people is found to be $166 per hour.

The conference will last for 5 hours so the total cost of the room is

Cost of room = 5*$166 = $830

From the given table hotel 5,

The cost of the buffet dinner per head is found to be $30.

Since there are total 120 people so the total cost of dinner is

Cost of dinner = 120*$30 = $3600

Total cost = $830 + $3600 = $4430

We are given that hotel 5 has recently increased the total chargers by 10%

Total cost = $4430*1.10

Total cost = $4,873

Therefore, the booking cost of hotel 5 would be $4,873.

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In Boston taxicabs charge an initial fare and an additional amount for every mile traveled. Tahira is having trouble figuring ou
nlexa [21]

Answer:

The taxi charges $2.5 for every mile.

Step-by-step explanation:

We are given the following in the question:

Let x be the initial taxicab fare and y be the additional amount for every mile traveled.

Cost for a two mile ride = $7.00

Thus, we can write the equation:

x + 2y = 7

Cost of a nine mile ride = $24.50

Thus, we can write the equation,

x + 9y = 24.50

Solving the two equation by elimination method, we have,

x + 9y - (x + 2y) = 24.50 - 7\\7y = 17.5\\y = 2.5\\\Rightarrow x + 2(2.5) = 7\\x = 2

Thus, $2 is the initial fare and $2.5 is the cost for every mile traveled.

3 0
1 year ago
A school district has 2 teaching positions to fill and there are 8 applicants to choose from. How many different possibilities a
Olenka [21]

I think the answer would be 56. Bc the first job has 8 different people who could get the job and then once someone is chosen for that slot the next teaching position only has 7 candidates. So you would take 8*7 which equals 56.

6 0
2 years ago
Read 2 more answers
The blue segment below is a radius of O. What is the length of the diameter of the circle?
Ivahew [28]

Answer:

B, 14.6 units.

Step-by-step explanation:

The answer is be because:

the diameter = radius times 2

radius= 7.3

diameter=7.3*2

              =14.6

Therefore the answer is, B

7 0
2 years ago
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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
maksim [4K]

Answer:

Boat traveled 553.24 feet towards the lighthouse.

Step-by-step explanation:

In the figure attached AB is the light house of height 200 feet.

Angle of depression of the boat from the top of a lighthouse = angle of elevation of the lighthouse from the boat = 14°52'

so 1' = \frac{1}{60} degree

so angle of elevation at point C = 14 + \frac{52}{60}

So angle of elevation from C = (14 + 0.87) = 14.87°

Similarly, when boat arrives at point D angle of elevation = 45°10' = 45 + \frac{10}{60} = 45.17°

Now we have to calculate the distance CD, traveled by the boat.

In ΔABC

tan14.87 = \frac{200}{BC}

0.2655 =  \frac{200}{BC}

BC = \frac{200}{0.26552}

BC = 753.239 feet

Similarly in ΔABD

tan45.17 = \frac{200}{BD}

1 = \frac{200}{BD}

BD = 200 feet

So distance CD = BC - BD

CD = 753.239 - 200

     = 553.24 feet

Therefore, Boat traveled 553.24 feet towards the lighthouse.

7 0
2 years ago
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First, she needs to find her resting heart rate by counting her pulse for one minute immediately after she wakes up for 5 days i
andreyandreev [35.5K]

Answer:

63

Step-by-step explanation:

She finds her average resting heart rate to be 62 after  5 days.

That means, average of the 5 heart rate pulse=62

If the last day was 58 and all the other days were the same.

Let x be her pulse on the other days,

Then,

Average, 62=\dfrac{58+4x}{5}\\\text{Cross Multiply}\\58+4x=62 X 5\\\text{Suntract 58 from both sides}\\4x=(62X5)-58\\4x=310-58\\4x=252\\\text{Divide both sides by 4}\\x=63

Her pulse on all the other days is 63.

4 0
2 years ago
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