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kap26
4 days ago
7

3. At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days. (a) Make a tabl

e for the next 4 visits for each inspector. (b) In how many days will both inspectors visit on the same day? Show your work.
Mathematics
2 answers:
Svet_ta [4.3K]4 days ago
8 0

Answer:

They will coincide on the 84th day.

Step-by-step explanation:

Evaluating the details provided.

The health inspector comes every 7 days, while the fire inspector visits every 12 days.

Part (A) Create a table for the next 4 visits of each inspector.

The necessary table is as follows:

Health inspector: 7, 14, 21, 28

Fire inspector:    12, 24, 36, 48

Part (B) After how many days will both inspectors be present on the same day?

To solve this, we calculate the LCM of both numbers as follows:

7= 1×7

12=2×2×3

The LCM then is: 2×2×3×7=84

As a result, they will meet on the 84th day.

Leona [4.1K]4 days ago
6 0
Health inspector visits once a week.
Fire inspector comes every 12 days.

a) health inspector fire inspector.
day 7.                    day 12.   
day 14.                    day 24.
day 21.                    day 36.
day 28.                    day 48.
day 35.                    day 60.

b) 12 x 7 = 84.

Both will coincide on day 84.




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