Question

the temperature is 1° and drops to -3°. what other temperature is the same distance from -3? a -2 b -4 c -7 d 5; noah finished his chores in 6 1/3 hours. if he had 8 2/3 hours to complete them, how much time did he have left over to play his video games?; simplify - 3/4; clare said th on a number expression | - which numb

Explanation:

First Sub - Question (Temperature Problem)

Step1: Find the distance from 1 to -3

The distance between two numbers \(a\) and \(b\) on the number line is given by \(|a - b|\). So, the distance from \(1\) to \(-3\) is \(|1-(-3)|=|1 + 3|=4\).

Step2: Find the number \(x\) such that \(|-3 - x|=4\)

We have two cases:

• Case 1: \(-3-x = 4\), then \(x=-3 - 4=-7\)
• Case 2: \(-3 - x=-4\), then \(x=-3+4 = 1\) (but 1 is the original number, so we take the other solution)

Step1: Convert mixed numbers to improper fractions

\(6\frac{1}{3}=\frac{6\times3 + 1}{3}=\frac{19}{3}\) and \(8\frac{2}{3}=\frac{8\times3+2}{3}=\frac{26}{3}\)

Step2: Subtract the time spent from the total time

The time left \(=\frac{26}{3}-\frac{19}{3}=\frac{26 - 19}{3}=\frac{7}{3}=2\frac{1}{3}\) hours.

Answer:

C. -7

Second Sub - Question (Time Left Problem)