At 10:00a. m ,pharaoh leaves his office traveling by car to deliver a book to Valerie. He stopped to eat lunch for two hours , and then returned directly to his office , arriving at 2:00pm. If Pharaohs rate going was 60mph and the rate returning was 20 mph, how far is it from pharaohs office to Valerie’s?

30 m

Step-by-step explanation:

Step 1 :

Let x be the distance traveled.

Speed taken while going is given as 60mph.

Hence time taken for the onward journey =x/60

Speed for the return journey is 20mph

Hence time for the return journey is x/20

Step 2:

Total time is from 10 m to 2 pm. Deducting the 2 hours taken for lunch, time spent for the onward and return journey is 2 hrs

=> X/60 + x/20 = 2.

Solving for x we get x = 30

Hence the distance between the office and Valerie's is 30 m

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: