Luke cage wants to get back at jessica jones for prank ing him last week by putting all of his tv remotes in jell-o. he decides to fill her hot tub with pudding. it’s the perfect revenge. luke finds a great deal for putting cups on amazon. he can get a 36 pack for $9.74. what a deal! each cup holds 3.25 ounce of yummy putting, btw. luke also knows that the hot tub is about 5 feet with, 5 feet long, and 2.5 feet deep. how many packs will luke need to buy in order to fill the hot tub? how much will this prank cost him

$4,986.88

Step-by-step explanation:

Given the dimensions of the hot tub (5ft x 5ft x 2.5ft), you first need to find the volume of the object to figure out how many ounces of pudding it will hold.  

V = l x w x h = 5 x 5 x 2.5 = 62.5 ft³

1 ft³ = 957.06 ounces

or x = 59,844.125 ounces

Each cup of pudding holds 3.25 ounces of pudding and there are 36 cups in the pack, so the total amount of ounces Luke can get for $9.74 is:

3.25 x 36 = 117 ounces

≈

Each 36 pack costs $9.74 and Luke will need 512 of them:

9.74 x 512 = $4,986.88

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

2

step-by-step explanation: