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3 years ago

At A Local Restaurant, The Health Inspector Visits Every 7 Days, And The Fire Inspector Visits Every 12 Days.

1 answer:

8 0

PART A :OK so here is the table for the health inspector; all you are really doing is 7+7+7, and so on:

PART A: health inspector: 7,14,21,28,35,42,49,56,63,70,77,84..........

PART A:same thing for the fire inspector, except this time your adding 12+12+12, and so on:

PART A: fire inspector: 12,24,36,48,60,72,84,96.......

PART B: and to figure out what day they will both come is you have to find the LCM (least common multiple)

PART B: which in this case is Day 84

hopes this helps!!!!!

You might be interested in

Which graph represents the inequality x greater-than 6?

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)

6 0

3 years ago

Read 2 more answers

2. In how many ways can 3 different novels, 2 different mathematics books and 5 different chemistry books be arranged on a books

insens350 [35]

The number of ways of the books can be arranged are illustrations of permutations.

When the books are arranged in any order, the number of arrangements is 3628800
When the mathematics book must not be together, the number of arrangements is 2903040
When the novels must be together, and the chemistry books must be together, the number of arrangements is 17280
When the mathematics books must be together, and the novels must not be together, the number of arrangements is 302400

The given parameters are:

$\mathbf{Novels = 3}$

$\mathbf{Mathematics = 2}$

$\mathbf{Chemistry = 5}$

(a) The books in any order

First, we calculate the total number of books

$\mathbf{n = Novels + Mathematics + Chemistry}$

$\mathbf{n = 3 + 2 + 5}$

$\mathbf{n = 10}$

The number of arrangement is n!:

So, we have:

$\mathbf{n! = 10!}$

$\mathbf{n! = 3628800}$

(b) The mathematics book, not together

There are 2 mathematics books.

If the mathematics books, must be together

The number of arrangements is:

$\mathbf{Maths\ together = 2 \times 9!}$

Using the complement rule, we have:

$\mathbf{Maths\ not\ together = Total - Maths\ together}$

This gives

$\mathbf{Maths\ not\ together = 3628800 - 2 \times 9!}$

$\mathbf{Maths\ not\ together = 2903040}$

(c) The novels must be together and the chemistry books, together

We have:

$\mathbf{Novels = 3}$

$\mathbf{Chemistry = 5}$

First, arrange the novels in:

$\mathbf{Novels = 3!\ ways}$

Next, arrange the chemistry books in:

$\mathbf{Chemistry = 5!\ ways}$

Now, the 5 chemistry books will be taken as 1; the novels will also be taken as 1.

Literally, the number of books now is:

$\mathbf{n =Mathematics + 1 + 1}$

$\mathbf{n =2 + 1 + 1}$

$\mathbf{n =4}$

So, the number of arrangements is:

$\mathbf{Arrangements = n! \times 3! \times 5!}$

$\mathbf{Arrangements = 4! \times 3! \times 5!}$

$\mathbf{Arrangements = 17280}$

(d) The mathematics must be together and the chemistry books, not together

We have:

$\mathbf{Mathematics = 2}$

$\mathbf{Novels = 3}$

$\mathbf{Chemistry = 5}$

First, arrange the mathematics in:

$\mathbf{Mathematics = 2!}$

Literally, the number of chemistry and mathematics now is:

$\mathbf{n =Chemistry + 1}$

$\mathbf{n =5 + 1}$

$\mathbf{n =6}$

So, the number of arrangements of these books is:

$\mathbf{Arrangements = n! \times 2!}$

$\mathbf{Arrangements = 6! \times 2!}$

Now, there are 7 spaces between the chemistry and mathematics books.

For the 3 novels not to be together, the number of arrangement is:

$\mathbf{Arrangements = ^7P_3}$

So, the total arrangement is:

$\mathbf{Total = 6! \times 2!\times ^7P_3}$

$\mathbf{Total = 6! \times 2!\times 210}$

$\mathbf{Total = 302400}$

Read more about permutations at:

brainly.com/question/1216161

8 0

2 years ago

One number exceeds another number by 6. One fourth of the sum of the two numbers is two less than the smaller.

dolphi86 [110]

Answer:

7 and 13

Step-by-step explanation:

let the 2 numbers be x and y , x > y , then

x = y + 6 → (1)

$\frac{1}{4}$ (x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )

x + y = 4y - 8 ( subtract 4y from both sides )

x - 3y = - 8 → (2)

Substitute x = y + 6 into (2)

y + 6 - 3y = - 8

- 2y + 6 = - 8 ( subtract 6 from both sides )

- 2y = - 14 ( divide both sides by - 2 )

y = 7

Substitute y = 7 into (1)

x = 7 + 6 = 13

The 2 numbers are 7 and 13

4 0

3 years ago

Answer for this equation?

kicyunya [14]

Your answer is 13/45 or approximately 0.28!

6 0

3 years ago

!!!!!!!HELP!!!!!!MEH!!!!!PLZ!!!!!!

Maru [420]

Answer:

The correct answers are

Sal walks 14 km in 4 h

Sal walks 3.5 km in 1 h

Step-by-step explanation:

Given:

Distance represented by Y axis in kilometer.

Time represented by X axis in hour,

The graph of line is showing distance walked. And the two points are (1, 3.5) and (4, 14).

In plotting of points the first coordinate is always the X coordinate that is time in hour here, and the second coordinate is always the Y coordinate that is distance in km.

Therefore, the given below two options are correct

Sal walks 14 km in 4 h

Sal walks 3.5 km in 1 h

5 0

4 years ago

Read 2 more answers