Someone answer this for my fifth grade not smarter than a fifth grader clearly

aj, blaze, laurence, and jack pick oranges. blaze picks three times as many as laurence. jack picks twice as many as blaze. aj picks three times as many as laurence. the total weight of the oranges is 1092 pounds. how many pounds does aj pick?

AJ picks 252 pounds

Step-by-step explanation:

Lets define the following letters for each name:

A is AJ  

B is Blaze

L is Laurence

J is Jack

Now we will analyze the phrases one by one:

Blaze picks three times as many as Laurence means:

Jack picks twice as many as Blaze.  

, ans using the previous one lets substitute B with 3 * L

Aj picks three times as many as Laurence.  

The total weight of the oranges is 1092 pounds.  

We replace A, B & J in the last equation, with the previous results:

, grouping using L as common factor:  

, then isolating L:

pounds (for Laurence)

Finally replacing L in the previous equations:

pounds (for Aj)

pounds (for Blaze)

pounds (for Jack)

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

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.