Ranee is building a birdcage for her parrot in the shape of a square pyramid. the height of the birdcage is 0.5 meters and it has a volume of 0.5625 cubic meters. she decides to increase the height to 1.5 meters, leaving the base the same. what is the maximum number of cubic meters in the new birdcage.

1.6875 cubic metres

Step-by-step explanation:

Given:

Ranee builds a birdcage for her parrot

Shape - square pyramid

Volume of bird cage = Area of base square x height

height = 0.5 m, and volume =0.5625 cubic metres

Hence 0.5625=0.5xArea of base square

Area of base square=0.5625/0.5 =0.1125

NOw when height become 1.5 m, new volume would be

Area of base square x new height

0.1125(1.5) = 1.6875 cubic metres.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: