1.What number completes the table of equivalent ratios?
A.62 X | Y
B.64 18 | 24
C.{68}* 24 | 32
30 | 40
2.Which ratio is equivalent to 3:9? 48 | ?
A. 24:54
B. 18:54
C. 36:81
The table messed up but it should look like
X | Y
18 | 24
24 | 32
30 | 40
whats the answer
40
To find the number that completes the table of equivalent ratios, you can use the concept of cross-multiplication.
1. First, identify a known ratio from the table. In this case, we can choose the ratio from the second row: 18:24.
2. Next, calculate the equivalent ratio by using cross-multiplication. Cross-multiplication is performed by multiplying the numerator of one ratio with the denominator of the other ratio. In this case, cross-multiplying gives us (18 * Y) = (24 * X).
3. Now, we can substitute the given values from the table into the equation. We have (18 * Y) = (24 * X). Substitute the values from the table: 18 * 24 = X * 32.
4. Solve the equation for X. Cross-multiplying gives us (18 * 24) = (X * 32). Simplifying further, we have 432 = 32X. Divide both sides of the equation by 32 to solve for X: X = 432/32 = 13.5.
So, the number X that completes the table is approximately 13.5.
Now let's move on to the second question:
To find the ratio equivalent to 3:9, we can simplify it further by dividing both numbers by their greatest common divisor (GCD), which in this case is 3.
1. Divide both the numerator and denominator by 3: 3 ÷ 3 = 1 and 9 ÷ 3 = 3.
2. The simplified ratio is 1:3.
So, the ratio equivalent to 3:9 is A. 1:3.
you are correct
also, 3:9 = 48:144
since 48=3*16 and 144=9*16