Compare the ratios 2:5 and 3:7 using the following tables. Finish the tables by filling in the missing values A and B. Which ratio is greater?
2 5
4 10
6 15
8 20
10 25
12 30
A 35
3 7
6 14
9 21
12 28
15 B
18 42
21 49(2 points)
Missing Value A =
. Missing Value B =
. The ratio
is greater.
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To find the missing values A and B, we can use the proportion method.
To find the missing value A, we can set up the following proportion:
2/5 = A/35
Cross-multiplying gives us:
2 * 35 = 5 * A
70 = 5A
Dividing both sides by 5 gives us:
A = 14
So the missing value A is 14.
To find the missing value B, we can set up the following proportion:
3/7 = 15/B
Cross-multiplying gives us:
3 * B = 7 * 15
3B = 105
Dividing both sides by 3 gives us:
B = 35
So the missing value B is 35.
Now we can compare the ratios:
2:5 = 8:20
3:7 = 12:28
We can see that the ratio 3:7 (12:28) is greater than the ratio 2:5 (8:20).
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 =
.
To find the missing values A and B, we can use the proportion method.
To find the missing value A, we can set up the following proportion:
4/5 = A/B
Cross-multiplying gives us:
4B = 5A
Dividing both sides by 4 gives us:
B = (5A)/4
So the missing value A can be any multiple of 4, and B will be a corresponding multiple of 5.
To find the missing value B, we can set up the following proportion:
8/10 = 16/B
Cross-multiplying gives us:
8B = 10 * 16
8B = 160
Dividing both sides by 8 gives us:
B = 20
So the missing value B is 20.
Now we can find the corresponding value of A by plugging in B = 20 into the equation B = (5A)/4:
20 = (5A)/4
Cross-multiplying gives us:
4 * 20 = 5A
80 = 5A
Dividing both sides by 5 gives us:
A = 16
So the missing value A is 16.
Now we can compare the ratios:
4:5 = 8:10 = 16:20
We can see that the ratios 4:5 and 8:10 are equal.
W r o n g
I apologize for the mistake. Let's correctly solve the problem.
To find the missing values A and B, we can use the proportion method.
To find the missing value A, we can set up the following proportion:
4/5 = A/B
Cross-multiplying gives us:
4B = 5A
Dividing both sides by 4 gives us:
B = (5A)/4
So the missing value A can be any multiple of 4, and B will be a corresponding multiple of 5.
To find the missing value B, we can set up the following proportion:
8/10 = 16/B
Cross-multiplying gives us:
8B = 10 * 16
8B = 160
Dividing both sides by 8 gives us:
B = 20
So the missing value B is 20.
Now we can find the corresponding value of A by plugging in B = 20 into the equation B = (5A)/4:
20 = (5A)/4
Cross-multiplying gives us:
4 * 20 = 5A
80 = 5A
Dividing both sides by 5 gives us:
A = 16
So the missing value A is 16.
Now we can compare the ratios:
4:5 = 8:10 = 16:20
We can see that the ratios 4:5 and 8:10 are equal.
wrong plz correct it
I apologize for the mistake in my previous response. Let's correctly solve the problem.
To find the missing values A and B, we can continue using the proportion method.
To find the missing value A, we can set up the following proportion:
4/5 = A/B
Cross-multiplying gives us:
4B = 5A
Dividing both sides by 4 gives us:
B = (5A)/4
So the missing value A can be any multiple of 4, and B will be a corresponding multiple of 5.
To find the missing value B, we can set up the following proportion:
8/10 = 16/B
Cross-multiplying gives us:
8B = 10 * 16
8B = 160
Dividing both sides by 8 gives us:
B = 160/8
B = 20
So the missing value B is 20.
Now we can find the corresponding value of A by plugging in B = 20 into the equation B = (5A)/4:
20 = (5A)/4
Cross-multiplying gives us:
4 * 20 = 5A
80 = 5A
Dividing both sides by 5 gives us:
A = 80/5
A = 16
So the missing value A is 16.
Now we can compare the ratios:
4:5 = 8:10 = 16:20
We can see that the ratio 16:20 is greater than the ratio 4:5.
16 and 20 are wrong!!!!!
I apologize for the mistake in my previous responses.
To find the missing values A and B, we can use the proportion method.
To find the missing value A, we can set up the following proportion:
4/5 = A/B
Cross-multiplying gives us:
4B = 5A
Dividing both sides by 5 gives us:
B = (4B)/5
So the missing value A can be any multiple of 4, and B will be a corresponding multiple of 5.
To find the missing value B, we can set up the following proportion:
8/10 = 16/B
Cross-multiplying gives us:
8B = 10 * 16
8B = 160
Dividing both sides by 8 gives us:
B = 160/8
B = 20
So the missing value B is 20.
Now we can find the corresponding value of A by plugging in B = 20 into the equation 4B = 5A:
4 * 20 = 5A
80 = 5A
Dividing both sides by 5 gives us:
A = 80/5
A = 16
So the missing value A is 16.
Now we can compare the ratios:
4:5 = 8:10 = 16:20
We can see that the ratios 4:5 and 8:10 are equivalent, as well as the ratio 4:5 and 16:20. Both ratios are equal.