. The number of drops of red tint needed to make a certain shade of purple paint varies directly with the number of gallons of paint base. Suppose that 5 drops of red tint can be mixed with 2 gallons of paint base to create the correct shade. How many drops of red tint must be mixed with 6 gallons of paint base to create the correct shade?

15 drops of red tint must be mixed with 6 gallons of paint base to create the correct shade

Step-by-step explanation:

The number of drops of red tint needed to make a certain shade of purple paint varies directly with the number of gallons of paint base.

This is expressed Mathematically as:

= R ∝ P

Where R = Red paint

P = Paint base

R = kP

Suppose that 5 drops of red tint can be mixed with 2 gallons of paint base to create the correct shade.

Hence

5 = 2k

k = 5/2

How many drops of red tint must be mixed with 6 gallons of paint base to create the correct shade?

This is calculated as:

R = kP

Where k = 5/2

Hence:

R = 5/2 × 6

R = 15 drops of red tint

Hence, 15 drops of red tint must be mixed with 6 gallons of paint base to create the correct shade.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

correct answer:

b.(19,-2)