Here, we are required to determine after how many minutes will the two substances be at the same temperature.
The equation of when the two substances will be at the same temperature and the solution are as follows;
(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).
(b) The solution is, x = 3.285minutes.
For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;
For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;
(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).
The equation is therefore;.
96.2 + 1.5(x) = 98.5 + 0.8(x)
(b) To determine the solution;
1.5x - 0.8x = 98.5 - 96.2
0.7x = 2.3
x = 2.3/0.7
x = 3.285minutes.
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Start by going in the order of decimals and what ever you end at, put this number on top
142857/<span>100000
And then you simplify it to the smallest numbers and you have your answer. It can't be simplified so it is just:
</span>142857/<span>100000</span>
The first thing we are going to do is draw a diagram of the situation to help us to solve the situation.
We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since <span>meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let </span>

be height of of the pole. Since both triangles are similiar we can establish a proportion between their corresponding sides and solve for

:



We can conclude that the pole is
4.04 meters tall.
<u>Work 1:</u>
Successful Percent:
15 divided by 20 equals .75
.75 times 100 is equal to 75
75%
Not successful Percent:
100% minus 75% equals 25%
<em>25%</em>
<u>Work 2:</u><u />
20 minus 15 equals 5
5 divided by 20 is equal to .25
.25 times 100 is equal to 25
<em>25%</em>
Hello,
A=(3,-4)
B=(-2,-1)
m=(-4+1)/(3+2)=-3/5
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