Question

General Instruction: Answer for your practice and be ready for a summative test next week. Write a ratio of the following in three ways. Write your answer on the blank. ) 2 hours to 30 minutes 2) 11 bananas to 12 pineapples ) 8 girls to 12 boys 1. Solve and determine whether each is a proportion or not. Write YES or NO on the blank -.) 1/3 and 4/12 = 5.) 3/5 and 9/15 = .) 6/7 and 12/16 = 1. Solve each proportion. Write your answer on the blank. .) 4/6 = 10/n = 8.) n/56/ 10 = .) 2/n 4/16 = 10) n/4 = 4/16 = =​

Answer 1

To write ratios in three ways, use fractions, colons, or the word "to." Determine whether pairs of fractions are proportions. Solve for variables in proportions by setting up equations.

Step-by-step explanation:

The question is asking for ratios to be written in three ways. To write a ratio, you express the comparison of two quantities using a fraction, with a colon, or the word "to."

1. 2 hours to 30 minutes can be written as 2/30, 2:30, or 2 to 30.
2. 11 bananas to 12 pineapples can be written as 11/12, 11:12, or 11 to 12.
3. 8 girls to 12 boys can be written as 8/12, 8:12, or 8 to 12.

The second part of the question asks to determine whether certain pairs of fractions are proportions. A proportion occurs when two ratios are equivalent or equal. If the two fractions are equal, they form a proportion. If they are not equal, then they are not a proportion.

1. 1/3 and 4/12 are not equal, so they are not a proportion. The answer is NO.
2. 3/5 and 9/15 are equal, so they form a proportion. The answer is YES.
3. 6/7 and 12/16 are not equal, so they are not a proportion. The answer is NO.

The final part of the question asks to solve for variables in proportions. In a proportion, the cross products of the fractions are equal. To solve for a variable, set up an equation and solve for the unknown variable.

1. For 4/6 = 10/n, cross multiplying gives 4n = 60. Dividing by 4 gives n = 15.
2. For n/56 = 10/3, cross multiplying gives 3n = 560. Dividing by 3 gives n = 186.67 (rounded to two decimal places).
3. For 2/n = 4/16, cross multiplying gives 4n = 32. Dividing by 4 gives n = 8.