asked 28.5k views
2 votes
The table shows a proportional relationship between the milliliters

\[(\text{mL})\] of red paint and milliliters of yellow paint to make a certain shade of orange.
Paint mixtures
Red
\[(\text{mL})\] Yellow
\[(\text{mL})\]
\[10.5\]
\[28\]
\[7.5\]
\[20\]
\[9\]
\[24\]
? ?
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?

1 Answer

4 votes

The missing values in the table can be filled in with 25 mL red and 5 mL yellow, as well as 8 mL red and 3 mL yellow, maintaining the proportional relationship.

Let's go through the calculations step by step.

First, let's find the constant ratio using the given pairs of red and yellow paint values:

For the pair (10.5 mL red, 28 mL yellow):

Constant ratio = 10.5 / 28 ≈ 0.375

Now, we will use this constant ratio to find the missing values:

For the missing pair (? mL red, ? mL yellow), where the red amount is unknown:

? = 0.375 * ? (constant ratio)

To find the corresponding yellow amount, we use the constant ratio:

? = 0.375 * ? / 0.375 (cancelling out the constant ratio)

This results in ? = ?, indicating that any pair with the same constant ratio will work. Therefore, 25 mL red and 5 mL yellow can be used.

Similarly, for the second missing pair (? mL red, ? mL yellow), where the red amount is unknown:

? = 0.375 * ? (constant ratio)

To find the corresponding yellow amount, we use the constant ratio:

? = 0.375 * ? / 0.375 (cancelling out the constant ratio)

This also results in ? = ?, indicating that any pair with the same constant ratio will work. Therefore, 8 mL red and 3 mL yellow can be used.

The question probable may be:

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. A row of values is missing in the table. What would be the missing values in the table?

Paint mixtures

Red(ml) Yellow (ml)

10.5 28

7,5 20

9 24

? ?

answered
User Yogesh Funde
by
8.0k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.