Fresh produce is delivered to a restaurant every 4 days. every 6 days, the restaurant receives a delivery of dried and canned
goods. if the produce and dried and canned goods were delivered today, how many days will pass until they are all delivered
to the restaurant on the same day again?
2 days
5 days
12 days
24 days

12 days

Step-by-step explanation:

number of days after which the fresh food is delivered = 4 days

Number of days after which the dried and the canned food is delivered = 6

If the produce and dried and canned goods were delivered today, we are asked to determine after how many days will pass until they are all delivered.

In order to find this we need to Least common multiple of 4 and 6

4 = 2 x 2

6 = 2 x 3

Least common multiple = 2 x 2 x 3 = 12

Hence after 12 days will pass until they are all delivered same day again.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

9 x 8 divided by (5-3)=36