Help for Math homework?

Question

Translate the statement into an equation. Then solve the equation. I need to show all work of how I can got the answer. Diane is taking a trip that is 224 miles long. She has already driven 59 miles. If she drives ata speed of 55 miles per hour, how many more hours will she need to drive to reach her destination ? I am hopeing to be able to learn how to do this, that is why I am asking for help. Thank you to anyone that is willing to help me , take care & a great night, Debra

Answer 1

the equation is:
55x = 224 - 59
55x = 165
x = 165/55
= 3

Answer 2

let x be the number of hours left to drive: 59 + 55 x = 224
55 x = 224 - 59
55 x = 165
x = 3

Rationiale: if diane drives at a speed of 55 miles/hour, the total distance she has driven in "x" hours will be the product of 55 and x (therefore the 55x in the equation). This is because the total distance travelled is equal to time multiplied by speed (make sure your units all match).
If the entire trip is 224 miles long, and diane has already driven 59 miles, it means she still has (224-59) miles that she needs to travel, right? so you can take this and divide it by 55, then you'll get the answer of 3.
Another way to think about this is 59 miles already travelled + 55x miles to-be travelled = entire trip (therefore the 59 + 55x = 224).

Good luck ! :)

Answer 3

This is the toughest part of doing Algebra. The only way to get good at it is to practice, practice, practice. Formula for success: identify what you know in the problem (in your example, the trip is 224 miles, she's already driven 59, she's driving at 55 mph)?; next what don't you know in the problem (how many hours does she have left to drive)?; finally, how do you write the equation to solve the problem? First, subtract miles already driven from total miles. Next recall that you have a formula distance = velocity * time, so t = d/v, and you know two of those numbers. You should be able to take it from there. Remember the key is in my second sentence about knowns, unknowns, and writing equations. At your level "they" won't be handing you very complicated problems. The problems will generally involve three or four numbers, of which you know all but one. Then write the equation to find the unknown number. Things will get more complicated as you get better and the problems more difficult, so as long as you master this, you will be fine. Keep it simple and work with the method I gave you. I remember having the same problems you are having, now I have several advanced degrees, teach, publish, and just having had a blast teaching all this to my own kids. Good luck. Oh, and yes, Dad is cool in school!! The cool disappears at home, but...

Answer 4

step by step

"Diane is taking a trip that is 224 miles long."

224

"She has already driven 59 miles," subtract this from the total because she already went this distance.

224 miles -- 59 miles = 165 miles

"She has already driven 59 miles. If she drives ata speed of 55 miles per hour," so we have our velocity (or reallly speed). and they are asking for the time

55 miles/hour
165 miles
time (in hours) = ?

distance = velocity * time

divide distance by velocity and we will get the time

(165 miles)/ (55 miles/hour) = 3 hours (because the miles cancled out and the hours came to the top).

Answer 5

Let Y =number of hours she needs to drive

total number of miles = hours(Y) times rate plus the 59 miles already driven. this can be re-written as:

224= (Y*55) + 59
We ultimately need to just end up with Y so we start by getting rid of the 59 by subtracting it from both sides of the equation

this gives: 165 = (Y*55)
Now we just divide both sides of the equation by 55 to give us our Y.
this gives: 165/55 =Y that means Y = 3 So it will take 3 hours of driving. Hope that helps.

Answer 6

She has covered 55 miles of a 224-mile trip. How many miles does she have left to go? How long will it take to go that far at 55 miles per hour? (Remember the formula: distance = velocity x time.)

Answer 7

going 224 mile
has gone 59 miles
speed 55mph
she has 224-59=165 miles left to go
165miles/55mi/hr=3 hours left to frive.

Answer 8

224-59=165 / 55=3 hours

I hope this is right....
Good luck, I always hated these things! :)

Answer 9

55x-59=224
55x=224-59
55x=165
x=165/55
x=3
It takes three hours to drive to her destination.

Answer 10

www.doyourownhomework.com
i think its a very simple problem...why dont u try it on ur own?
u wont have accessibility to yahoo answers in ur exams i guess...