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Two - Step Eqaution

Beneath Earth's surface, the temperature increase 10 Celuis every kilometer. Suppose that the surface temperature is 22 Celusis,and the temperature at the bottom of a gold mine is 45 Celusis. what is the depth of the gold mine?

Please help and please how you got the answer.

2006-09-26 11:04:52 · 11 answers · asked by Anonymous in Science & Mathematics Mathematics

Ok thanks I will pick the best answer later.

One health

2006-09-26 11:12:32 · update #1

Ok thanks I will pick the best answer later.

Two step Equations

One health insurance policy pays people for claims by multiplying the claim amount by 0.8 and then subtracting $500.If a person receives a check for $4650,How much was the claim amount?

2006-09-26 11:16:46 · update #2

Define a varible and write an equation. Then solve

The Library of Congress in Washington,D.C, is the largest library in the world. It contains nearly 125 million items.The library adds about 10,000 items to its collection daily. How many days will it take the library to reach about 150 million items

2006-09-26 11:23:45 · update #3

PLEASE ANSWER MY QUESTION IT MOT MY HOMEWORK IAM JUST TRYING TO TEACH YOU IF YOU KNOW IT AND I WILL GIVE OUT THE 10 PIONTS.

2006-09-26 11:56:09 · update #4

11 answers

bottom of the gold mine's temperature - Earth's surface temperature = the change in temperature.
the temperature increases 10C every kilo, so if it increased 23C, the depth would be 2.3kilo

45C-22C=23C.
23C x 10 C/km = 2.3km.

2006-09-26 11:22:51 · answer #1 · answered by Anonymous · 1 0

call d the depth in km (below the surface).
temperature is a function of depth: t=t(d)

the temp at the surface is 22, so t(d=0) =22.

We also know that t(d=x+1) = t(d=x) + 10
so t(d=1)=22 + 10 = 32.

Since this is a linear function, we can use the two points to write an explicit function for t. The intercept is 22 (since t(0)=22) and the slope is 10 (since (32-22)/(1-0)=10). So we get

t = 10d + 22.

Since we know t=45 in the gold mine, simply plug in and solve:

45=10d+22
23=10d
d=2.3

So the mine is 2.3 km below the surface.

2006-09-26 18:15:47 · answer #2 · answered by aryeh_cls 2 · 1 0

Well.. let's see...

The rise in temperature is (45 - 22): 23

A kilometer is = 1,000 meters. There is an increase of 10degrees per kilometer which equates to 1 degree per 100 meters (1,000 / 10 = 100meters).

Multiplies the amount of the drop (23) by the distance per 1 degree (100 meters) will give you a depth of 2,300meters... or 2.3kilometers.

Hope this explains and answers!

2006-09-26 18:12:56 · answer #3 · answered by wrkey 5 · 1 0

Let x = # of kilometers from surface. Then,

22 + 10*x = 45
10*x = 45 - 22 = 23
x = 23/10 = 2.3

2006-09-26 18:07:11 · answer #4 · answered by Joe C 3 · 1 1

The temperature difference is 45-22=23
We are told that for every 10 degrees the corresponding depth is 1 km. Thus 23C X 1Km/10C is the equation we need. The celsius units cancel leaving Km as our units so just divide the numbers

2006-09-26 18:09:05 · answer #5 · answered by Greg G 5 · 1 1

2 and 3/10 kilometers.

The temperature went up 23 degrees,so you just find out how many times 10 goes into 23. The answer is 2 and 3/10 (or 2.3), so that's how many kilometers you descended.

2006-09-26 18:08:23 · answer #6 · answered by Jeremy W 3 · 1 1

2.3 km

The temperature difference is 23 degrees (45-22).

If there is 23 degree difference, then divide that number by 10, because that gives how many kilometers in that degree difference

23/10 = 2.3 km

2006-09-26 18:07:53 · answer #7 · answered by disoneguy300 3 · 1 1

t+10x = T where t is surface temperature and x is km below ground, and T is temperature at bottom.

t = 22
x = ?
T = 45

22 + 10x = 45
10x = 23
x = 2.3kilometers

2006-09-26 18:07:56 · answer #8 · answered by Silver 2 · 1 1

2.3 km

The temperature difference is 23 degrees (45-22).

2006-09-26 18:09:44 · answer #9 · answered by guyanesebaby_92 1 · 0 2

Wow that's to hard for me.

2006-09-26 18:13:15 · answer #10 · answered by Anonymous · 1 0

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