Compare the ratios 4:5 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 =
.
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Missing Value A = 2
Missing Value B = 2
To compare the ratios 4:5 and 8:10, we can create a proportion using the provided tables.
For the first ratio 4:5, we can set up the proportion:
4/A = 8/10
To solve for A, we can cross multiply:
8A = 4 * 10
8A = 40
A = 40/8
A = 5
So, the missing value A is 5.
For the second ratio 8:10, we can set up the proportion:
8/A = 16/20
To solve for A, we can cross multiply:
16A = 8 * 20
16A = 160
A = 160/16
A = 10
So, the missing value A is 10.
Now let's fill in the missing values in the tables:
4 5
5 ?
8 10
16 20
The missing value B is 5.
Therefore, the completed tables are:
4 5
5 5
8 10
16 20
To compare the ratios 4:5 and 8:10, we need to find the equivalent fractions for both ratios. Let's go step by step:
For the first ratio, 4:5, we'll start with the value 4 and find an equivalent fraction with a denominator of 10 (to match the second ratio). To do this, we can multiply both the numerator and denominator of 4:5 by 2:
4 * 2 = 8
5 * 2 = 10
So, the equivalent fraction for 4:5 is 8:10. Now, let's fill in the missing values in the table:
4 5
A B
8 10
16 20
We already found that A = 8 and B = 10, so we can fill those values in the table:
4 5
8 10
16 20
Now the table is complete, and we can see that the ratios 4:5 and 8:10 are equal.