Question

1.)What is another way to write 124-(-73)? -124-73 124-73 -124-(-73) 124+73 _________________2.)Lamar drives 48 miles west and then drives 55 miles south. How far is he from his starting point? 7 miles 51 miles 73 miles 103 miles ______________________________ 3.)The price of a microwave changes from $168 to $120.96 find the percent of increase or decrease. 39% increase 39% decrease 28% increase 28 decrease. Please explain how to do this I really need help :(

Answer 1

Answer:

1. 124+73
2. 73 miles
3. 28% decrease

Step-by-step explanation:

1. Subtracting a number is the same as adding its opposite. The opposite of -73 is 73, so subtracting -73 is the same as adding 73:

... 124 -(-73) = 124 +73

2. Lamar drove 48+55 = 103 miles, but that is not what the question asks. Rather, it asks the straight-line distance from where he is to where he started. That distance (d) is the length of the hypotenuse of the right triangle that has 48 mile and 55 mile legs. The Pythagorean theorem is used to calculate the straight-line distance in such cases.

... d² = 48² + 55²

... d² = 2304 + 3025 = 5329

... d = √5329 = 73 . . . . miles

3. The percentage change between two numbers is calculated from ...

... percent change = ((new value) - (old value))/(old value) × 100%

Putting in your numbers, you have ...

... percent change = (120.96 -168)/168 × 100% = -47.04/168 × 100%

... = -0.28 × 100% = -28%

The minus sign indicates the change is a decrease of 28%.