Math Word Problems Help?

natj429

Hi, i can't seem to understand how to get the equation for these assignments. The answers are in the back of the book but my answer is never the same. I Hope you can explain the process for me. Here are the problems:

1. A riverfront boat storage area is rectangular with fencing on all sides except the side along the river. If 550m of fencing is used and the side along the river is 50m shorter than the two longer sides, find the dimensions of the site. ANSWER: 150m by 200m

2. One laptop computer has 5.5 times the storage capacity of another. Together they can store 65 Gbytes of information. What is the storage capacity of each laptop computer? ANSWER: 10 Gbytes and 55 Gbytes

3. The online cost for an in-home smoke detector and carbon monoxide alarm is $4.29 more than twice the cost of a leading competitor's unit. If the two units are purchased together, their combined cost is $87.36. What is the cost of the more expensive alarm? ANSWER: $59.67
I would appreciate a step by step on how you reached the answer. Thanks

Answer
Question 1:

3 sides of a fence which create a rectangle

x = the longer side (two of these)
x - 50 = the shorter side (one of these; the other is the river)

Total fencing used on the 3 sides that have fencing: 550

x + x + (x-50) = 550
3x - 50 = 550
3x = 600
x = 200
y = 200 -x = 150

x = Longer side of fence = 200
x - 50 = shorter side of fence = 200 - 50 = 150

Dimensions = 150m x 200m

Question 2:

x = computer 1
y = computer 2
x = 5.5y

x + y = 65

5.5y + y = 65
6.5y = 65
y = 65/6.5
y = 10

Total = 65
x + 10 = 65
x = 55


Question 3:

Alarm 1 = x
Alarm 2 = y

x = 2y + 4.29
x + y = 87.36

Substitute (2y+4.29) for x in that equation

2y + 4.29 + y = 87.36
3y + 4.29 = 87.36
3y = 83.07
y = 83.07/3
y = 27.69

This is the price of the less expensive one

x = 2y + 4.29
x = (27.69 x 2) + 4.29 = 59.67

The pilot light in my gas furnace goes out every day, is it a health hazard?

Jessica

My landlord refuses to repair the gas furnace, even though the pilot light has been going out on a weekly basis for all the 8 months I have been his tenant. The only thing he has done so far is (last week) to get a plumber to install a new ignotion switch. (Previously, it was having to be relit with a long match as the switch was broken.)

Putting a new switch on only makes it easier to relight, it doesn't solve the problem of why it was going out to begin with. Since this was done 5 days ago, the gas has gone out every day, the last two days it was twice in one day. The ladt time we had to re-light it todsy, it took numetous attempts over about 20 minutes.

I am a NY tenant. We rent a 2 family house with my family on the ground floor. when the gas boiler goes out, it means the tenant upstairs has no hot water either. She told us this has been going on for 4 years, yet does not seem willing to 'rock' the boat.

First question is my highest concern- is this a health hazard to my family and I? I have had a huge increase in migraines and wonder if this is connected.

Can I force my landlord to repair it?

In NY, is the landlord obligated to 1/ install smoke and carbon monocide detectors and 2/ to have the gas boiler (furnace) inspected annually? This is a legal requirement in many European countries.

Thanks so much for any advice or thoughts! All will be greatly appreciated.

Answer
If this is a forced air furnace there is a very important and possibly dangerous situation that hasn't been raised. A cracked heat exchanger will not only keep blowing the pilot out but can cause carbon monoxide buildup.

Relight the pilot and burner and wait for the blower to cycle on.If you see the flame fluttering, or worse yet, if the flame starts moving towards the the front part of the heat exchanger cell shut it off completely and possibly start shopping for a new furnace!

However a severely rusted burner assembly on some brands can cause the same symptoms. Hopefully a good cleaning with a wire brush will cure your problem.

Good luck!

Powered by Yahoo! Answers