The table shows a proportional relationship between the milliliters (ml) of red paint and milliliters of yellow
paint to make a certain shade of orange.
Paint mixtures
Red (mL) Yellow (mL)
10.5
28
7.5 20
24
9
A row of values is missing in the table.
Which of the following mixtures of paint could be used as the missing values in the table?
Help please

You didn't provide answer options. The correct answer option will be the one where the ratio of red paint to yellow paint is 3:8.

Step-by-step explanation:

To make orange, you need some amount of red and some amount of yellow. As long as you mix them in the same proportions, you will get the same orange colour, regardless of how much total paint you're using. It's the RATIO between colours that matter, not how much colour is used.

In this case we are told that to make orange you can use any of the following combinations:

10.5mL red / 28mL yellow

9mL red / 24mL yellow

7.5mL red / 20mL yellow

Just take any of these and convert into a fraction. The middle option is easiest because it uses whole numbers:

This means for every 3 units of red, you need 8 units of yellow. Whichever answer option has red and yellow in that ratio is the correct answer.

Step-by-step explanation:

The given differential equation is

It can be written as

Integrate both sides.

Apply ILATE rule on right side. Here, t is first function and is the second function.

            .... (1)

Initial condition is y(1) = 1. It means at t=1 the value of y is 1.

Add on both sides.

Substitute the value of C in equation (1).

Therefore, the solution of given initial value problem is .