Josh ran 14.8 km in the morning. After lunch, he continued running. When he finished the run, he had covered 31.1 km in all. Write an equation that can be used to find how far Josh ran after lunch.

14.8 + x = 31.1

Step-by-step explanation:

This is the best equation to put as the answer.

If you want to solve it, this is how you would solve it.

14.8 + x = 31.1

Make it so that the variable x is by it's self.

14.8 + x - 14.8 = 31.1 - 14.8

x = 31.1 - 14.8

Now solve the subtraction problem.

x = 31.1 - 14.8 = 16.3

So, now you have your answer

x = 16.3

To make sure it's correct, use the addition method.

16.3 + 14.8 = 31.1

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west