Display the equivalent part-to-part ratios in this two-column table. (1 point) What numbers fill te blanks?
11:4
blank:24
88:Blank
110:40
The equivalent part-to-part ratios in this two-column table would look like this:
11:4
66:24
88:32
110:40
Display the equivalent part-to-part ratios in this two-column table.(1 point) Cups of Flour Cups of Sugar what fills the balnks?
2:1
14:blank
blank:9
20 10
The equivalent part-to-part ratios in this two-column table would look like this:
Cups of Flour - Cups of Sugar
2:1
14:7
18:9
20:10
To find the equivalent part-to-part ratios, we can set up proportions using the given ratios and solve for the missing values.
11:4 = blank:24
We can set up a proportion: 11/4 = blank/24
To solve for blank, we can cross-multiply: 11 * 24 = 4 * blank
288 = 4 * blank
Divide both sides by 4:
blank = 288/4
blank = 72
So, the missing value that fills the blank is 72.
Next,
88:blank = 110:40
We can set up the proportion: 88/blank = 110/40
Cross-multiplying, we get: 88 * 40 = blank * 110
3520 = blank * 110
Dividing both sides by 110:
blank = 3520/110
blank = 32
Therefore, the missing value that fills the blank is 32.
To find the missing numbers in the given part-to-part ratios, you need to determine the proportional relationship between the two numbers in each ratio. The ratio can be written in the form of a fraction, where the numerator represents one part and the denominator represents another part.
Let's find the equivalent part-to-part ratios for each row:
1. For the first row, the ratio is 11:4. To find the missing number in the second column, set up a proportion by placing the two ratios equal to each other:
11/4 = x/24
Now, cross-multiply and isolate the variable 'x':
11 * 24 = 4 * x
264 = 4x
Divide both sides by 4:
x = 264/4
x = 66
Therefore, the missing number in the second column of the first row is 66.
2. For the second row, the ratio is blank:24. Since the numerator is unknown, let's call it 'y'. Set up a similar proportion:
11/4 = y/24
Cross-multiply and isolate 'y':
11 * 24 = 4 * y
264 = 4y
Divide both sides by 4:
y = 264/4
y = 66
Thus, the missing number in the first column of the second row is 66.
3. For the third row, the ratio is 88:blank. Again, let's call the denominator 'y'. Set up the proportion:
88/y = 110/40
Cross-multiply and solve for 'y':
110 * y = 88 * 40
110y = 3520
Divide both sides by 110:
y = 3520/110
y = 32
Hence, the missing number in the second column of the third row is 32.
4. For the fourth row, the ratio is 110:40. No missing numbers are given, so both parts are provided.
Therefore, the equivalent part-to-part ratios in the two-column table are:
11:4
66:24
88:32
110:40