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stiv31 [10]
2 years ago
7

Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs). In Manchester, An i

dentical watch costs ?143 Given that ?1 = 1.55 CHF a) In which city is the watch cheaper? b) By how much is it cheaper (in ?)?
Mathematics
1 answer:
Novay_Z [31]2 years ago
6 0

Answer:

Step-by-step explanation:

1.55 CHF =  ?1

Cost of watch in Geneva in ?1

1.55 CHF =  ?1

193 CHF = ?  ?1 which we could call x

1.55 = 1

193  = x

Cross multiply

1.55x = 193         Divide by 1.55

x = 124.52           in x units.

But the merchants in Manchester are charging 143 x units

So 143 - 124.52 = 18.48 units more expensive in Manchester.

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Alan says that two lines in the coordinate plane are perpendicular if and only if the slopes of the lines are m and 1m. Identify
mart [117]

Answer:

First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)

That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

m can not be zero, if a line is horizontal, the perpendicular line must be vertical.

7 0
2 years ago
Find the cube root of 19683 by prime factorization method. Show steps.
ANTONII [103]

Answer:

  • 27

Step-by-step explanation:

<u>Given number:</u>

  • 19683

<u>Prime factors of 19683:</u>

  • 19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9

<u>Cube root:</u>

  • ∛19683 = ∛3^9 = 3^3 = 27
3 0
2 years ago
Read 2 more answers
Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors
nlexa [21]

Answer: 280 tons

Step-by-step explanation: Khan Academy

4 0
2 years ago
Read 2 more answers
There are 399 items advertised in a catalog. If the catalog is 75 pages long, what is the average number of items per page?
sukhopar [10]

Answer:

Step-by-step explanation:

Well, we can divide 399 and 75 so it would be 5.32. Round that and it would be about 5 items per page

5 0
2 years ago
A campus deli serves 300 customers over its busy lunch period from 11:30 a.m. to 1:30 p.m. A quick count of the number of custom
Irina-Kira [14]

Complete question is;

A campus deli serves 300 customers over its busy lunch period from 11:30 am to 1:30 pm. A quick count of the number of customers waiting in line and being served by the sandwich makers shows that an average of 10 customers are in process at any point in time. What is the average amount of time that a customer spends in process?

Answer:

4 minutes

Step-by-step explanation:

For this question, we will apply Little's law which is is a theorem that determines the average number of items in a stationary queuing system, based on the average waiting time of an item within a system and the average number of items arriving at the system per unit of time.

The formula for the law is:

Inventory = flow rate × flow time.

We are given;

Inventory = 300 customers

flow time is from 11: 30am to 1:30pm which is 2 hours = 120 minutes

Flow rate = 300/120 = 2.5 persons/minute

Now, Making flow rate the subject of the formula earlier given, we have;

flow rate =  inventory/ flow time

Flow time is the time each person spends in the process

Thus, plugging in the relevant values, we get ;

We are told that an average of 10 customers are in process at any point in time.

Thus;

Average flow time = average inventory/flow rate = 10/2.5 = 4 minutes

3 0
2 years ago
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