Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase. How often will a bag contain both a T-shirt and socks? Items in the Gift Bag T-shirt Every 4th bag Socks Every 3rd bag

Every 12th bag

Step-by-step explanation:

Given that:

Gift bag contains :

T - shirt = every 4th bag

Socks = Every 3rd bag

To obtain how often gift bag contains both T-shirt and socks , obtain the Lowest common multiple of 4 and 3

Multiples of :

4 : 4, 8, 12, 16, 20, 24,

3 : 3, 6, 9, 12, 15, 18, 21, 24,

Hence, the lowest common multiple of both 4 and 3 is 12.

The bag will contain both T-shirt and socks after every 12th bag

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)