The science club sponsor is ordering caps and shirts for the boys and girls in the science club. there are 45 science club members. if the caps come in packages of 3 and the shirts come in packages of 5 what is the least number of packages of caps and shirts that will need to be ordered?

They need to at least 9 packs of shirts and 15 packs of caps in order to meet their needs.

Step-by-step explanation:

Given that

Total members of club = 45

Total caps needed = 45

Total shirts needed = 45

Number of caps contained by each pack of caps = 3

Number of Shirts contained by each pack of caps = 5

Now we have to find the least number of packs of caps and shirts that they need to buy in order to fulfill the needs of each member.

Total packs of shirts needed = Total shirts needed/ Shirts in each pack

= 45/ 5 = 9

Total packs of caps needed = Total caps needed/ caps in each pack

= 45/ 3 = 15

So, they need to at least 9 packs of shirts and 15 packs of caps in order to meet their needs.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

answer: -10

step-by-step explanation:

s(t) = 1 - 10t

s(x) = 1 - 10x

s(x + h) = 1 - 10(x + h)

            = 1 - 10x - 10h

s(x + h) - s(x) = 1 - 10x - 10h - (1 - 10x)

                      = 1 - 10x - 10h - 1 + 10x

                      = -10h

= -10