Answer:
6
Step-by-step explanation:
The equation format is y=mx+b, therefore, m=6.
What’s the the math problem? I don’t see it..
Answer:
95
Step-by-step explanation:
Let x represent the ones digit. The tens digit will be higher, because reversing the digits results in a lower number. Its value is (14 -x). The given relation is ...
(10(14-x) +x) -(10x +(14 -x)) = 36 . . . . reversing the digits gives 36 less
140 -9x -9x -14 = 36 . . . . eliminate parentheses
90 = 18x . . . . . . . . add 18x-36
5 = x . . . . . . ones digit
14-5 = 9 . . . tens digit
The original number is 95.
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<em>Check</em>
95 -59 = 36
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<em>Additional comment</em>
The difference in value when the digits of a 2-digit number are reversed is always 9 times the difference in the digits. This means the difference in the digits is 36/9 = 4. Since the sum of digits is 14, the two digits are (14+4)/2 = 9 and (14-4)/2 = 5. 95 is the number of interest.
The solutions to a "sum and difference" problem are half the sum and half the difference of the given sum and difference. That is how we know the larger digit is (1/2)(14 + 4), for example.
We worked this "the hard way" using the above equation. It can actually be worked in your head if you're familiar with these generic solutions.
The triangles ABD, ADC and ABC are similar (AA stands for "angle, angle" and means that the triangles have two of their angles equal).
If two triangles have two of their angles equal, the triangles are similar.
Therefore the sides of triangles are in proportion.
cross multiply
Use the Pythagorean theorem for calculate x:
Answer:
<em>let</em><em> </em><em>the</em><em> </em><em>cost</em><em> </em><em>price</em><em> </em><em>=</em><em> </em><em>5</em><em>x</em>
<em>let</em><em> </em><em>the</em><em> </em><em>selling</em><em> </em><em>price</em><em> </em><em>=</em><em> </em><em>7</em><em>x</em>
<em>profit</em><em> </em><em>=</em><em> </em><em>selling</em><em> </em><em>price</em><em> </em><em>-</em><em> </em><em>cost</em><em> </em><em>price</em>
<em>=</em><em> </em><em>7</em><em>x</em><em> </em><em>-</em><em> </em><em>5</em><em>x</em><em> </em>
<em>=</em><em> </em><em>2</em><em>x</em>
<em>profit</em><em> </em><em>percentage</em><em> </em><em>=</em><em> </em><em>2</em><em>x</em><em>/</em><em>5</em><em>x</em><em> </em><em>×</em><em> </em><em>1</em><em>0</em><em>0</em>
<em>=</em><em> </em><em>2</em><em>×</em><em>2</em><em>0</em>
<em>=</em><em> </em><em>4</em><em>0</em><em> </em><em>percent</em>
