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.

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.