Compare the ratios 4:5

Question

and 8:10
using the following tables. Finish the tables by filling in the missing values A and B.

4 5
A B
8 10
16 20
(1 point)
Missing Value A =
. Missing Value B =
.
Remaining Attempts : 3
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Answer 1

To compare the ratios 4:5 and 8:10, we can look for equivalent ratios.

1. The ratio 4:5 can be multiplied by 2 to find a larger equivalent ratio:

   • \( 4 \times 2 = 8 \)
   • \( 5 \times 2 = 10 \) Thus, \( 4:5 \) is equivalent to \( 8:10 \).

2. We also see that 4:5 can be expressed in terms of its multiples:

   • 4 * 1 = 4, 5 * 1 = 5
   • 4 * 2 = 8, 5 * 2 = 10
   • 4 * 3 = 12, 5 * 3 = 15
   • 4 * 4 = 16, 5 * 4 = 20

Now we can fill in the missing values from the two tables:

From your table, the values you've provided are:

• 4, 5
• A, B
• 8, 10
• 16, 20

From this, we see:

• The ratio corresponding to A and B should maintain the same proportion as the others while it's given that:
• \( 4:5 = A:B \)

Using the relationship established, we can see that: To find A, we can set up the proportion: \[ \frac{4}{5} = \frac{A}{B} \]

Since B aligns in similar proportions to the provided entries:

• If we assume the next intermediate ratio will be keeping the fractions \( A = 12 \) (as \( 4 \times 3 \)) and \( B = 15 \) (as \( 5 \times 3 \)), we can deduce the next multiples still holding true between both sets.

So:

• Missing Value A = 12
• Missing Value B = 15

Final filled results:

• A = 12
• B = 15

Thus:

• Missing Value A = 12
• Missing Value B = 15