Answer:
33.75 cubic inches of styrofoam can be placed inside the container.
Step-by-step explanation:
Based on given information, the volume of the prism (
), in cubic inches, is determined by using this formula:
(1)
Where:
- Base of the triangular face, in inches.
- Height of the triangular face, in inches.
- Length of the prism, in inches.
If we know that 
, 
and 
, then the volume of the prism is:
33.75 cubic inches of styrofoam can be placed inside the container.
If everything else is equal - interest rates and fees and such, the person that starts with the most money will end with the most money.
Answer:
Step-by-step explanation:
Given the dimension of the homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;
Area of rectangle = Length * Width
Area of the rectangular backyard = 18yards * 16yards
Area of the rectangular backyard = 288yards²
If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²
The remaining area that will contain the tiles = Area of the rectangular backyard - area of the pool
The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²
<em>Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use</em>. The area needed for the tiles for the rest of the backyard is therefore 263yd².
Amount of tiles needed to buy can be expressed as 263/dimension of a tile.
Answer:
The maximum number of hours the school can have the band play at the dance is 4.
Step-by-step explanation:
150 + 100 + 35x ≤ 390
250 + 35x ≤ 390
subtract 250 from both sides
35x ≤ 140
divide by 35 on both sides
x ≤ 4
