Hello,
Please, see the attached file.
Thanks.
Answer:
5
Step-by-step explanation:
First off find how many bowls and vases combined
12 bowls and 8 vases therefore 20
to find 1/4 of a number divide by 4
therefore, 20/4 is 5
Answer:
95,040 different cast are possible
Step-by-step explanation:
In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.

Where n is the number of items you can choose and choose r from them.
In this case
and 



Answer: 
Step-by-step explanation:
1. You know that:
- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.
- The dimensions of the rectangular museum are: 30 ft by 10 ft.
- The combined area of the display and the roped-off area is 800 ft².
2. The area of the rectangular museum can be calculated with:

Where
is the lenght and
is the width.
You have that the lenght and the width in feet are:

3. Let's call
the width of the roped-off area. Then, the combined area is:

Where



4. Substitute values and simplify. Then:


Answer:
They studied for a little more than an hour?
Step-by-step explanation:
7/12 of 60 Mins is 35 mins and 2/3 is 40 mins 40+35=75 mins
which is a little more than an hour, 15 mins more to be precise.