A fish tank measures 40 cm by 25 cm by 24 cm. It is filled with water from a tap. The fish tank is 5/8 full in 6 minutes. Find the volume of water that flows from the tap each minute

Rate r = 2500 cm^3 per minute.

the volume of water that flows from the tap each minute is 2,500 cm^3

Step-by-step explanation:

Given;

Dimension of fish tank = 40 cm by 25 cm by 24 cm

Volume of tank V = l×b×h = 40×25×24 cm^3

V = 24000 cm^3

From the question;

The fish tank is 5/8 full in 6 minutes

The volume of water in the tank in 6 minutes is;

V(6) = 5/8 × V = 5/8 × 24000

V(6) = 15000 cm^3

The rate of flow of water from tap per minute is;

Rate r = V(6) ÷ time

r = V(6) ÷ 6 minutes

r = 15000 ÷ 6

r = 2500 cm^3 per minute.

the volume of water that flows from the tap each minute is 2,500 cm^3

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: