Question

a recent survey conducted by a financial planning website asked, \if you receive a tax refund, what will you do?\ ninety percent of respondents said they would pay down their debt. express the number of people who would pay down their debt in terms of the number of people surveyed. (let ( n ) be the number of people surveyed.)

1. -/1 points 0/12 submissions used

in a triangle, the measure of the smallest angle is 23 degrees less than one - half the measure of the largest angle. express the measure of the smallest angle in terms of the measure of the largest angle. (let ( l ) be the measure of the largest angle.)

1. -/1 points 0/12 submissions used

two cars are traveling in opposite directions at different rates. two hours later, the cars are 220 mi apart. express the distance traveled by the faster car in terms of the distance traveled by the slower car (let ( x ) be the distance in miles traveled by the slower car.)

Explanation:

Step1: Analyze the first problem

We know that \(90\%\) of the surveyed people (\(N\)) would pay down debt. \(90\%=\frac{90}{100} = 0.9\). So the number of people who would pay down debt is \(0.9N\).

Step2: Analyze the second problem

Let \(L\) be the measure of the largest angle. One - half of the largest angle is \(\frac{1}{2}L\). The smallest angle is \(23\) degrees less than one - half the measure of the largest angle. So the measure of the smallest angle is \(\frac{1}{2}L- 23\).

Step3: Analyze the third problem

Let \(x\) be the distance traveled by the slower car. The sum of the distances traveled by the two cars is \(220\) miles. Let \(y\) be the distance traveled by the faster car. Then \(x + y=220\), and \(y = 220 - x\).

Answer:

1. \(0.9N\)
2. \(\frac{1}{2}L - 23\)
3. \(220 - x\)