HELP ASAP I NEED THIS IN ONE HOUR WILL REPORT WRONG ANSWERS A new drill is used to dig a hole in the ground. At noon, the hole is 13.2 feet deep when the new drill is turned

on for the first time that day. At 2 p. m., the drill has dug the hole to be 42 1/4 feet deep. The new drill dug

1.5 times as much of the hole as the old drill would have in the same length of time.

(a) What expression represents the number of feet the new drill dug?

(b) How many feet would the old drill have dug in the same length of time? Show your work. Answer the
question in a complete sentence.

(a) 42.25 - 13.2

(b)  The old drill would have dug 19.367 ft in the same length of time (2 hours).

Step-by-step explanation:

(a) In the two hours, 12 Noon to 2 p.m., the new drill dug

42.25 - 13.2 =

29.05 feet.  

(b) Let r = the old drill dig rate in units of ft/hour

Then, 1.5r = the new drill dig rate.

So, 1.5r (2 hours) = 29.05, so that

r = (29.05)/(1.5 * 2) = 9.6833333 ... ft/hour.

So, the answer is: 9.683333 ... * 2 = 19.367 ft, rounded to the nearest 1000th.  Thus, the old drill would have dug 19.367 ft in the same length of time (2 hours).  

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.

i think the answer is 90 hope this