<span>5m+7/2=-2m+5/2
5m + 3.5 = -2m + 2.5
5m + 2m = 2.5 - 3.5
7m = -1
m = -1/7 or 0,142857...
</span>
The answer is 1,1500 because you ha e to subtract the lowest to highest number
Answer:
He can go 10.78 miles
Step-by-step explanation:
This problem can be solve by creating a proportion, knowing that 15.4 miles is to one gallon the same as "x" miles (our unknown) is to 0.7 gallons. This can be set in math terms as the equation that relates these two ratios of miles per gallon:
![\frac{15.4\,miles}{1\,gallon} =\frac{x }{0.7\,gallon}](https://tex.z-dn.net/?f=%5Cfrac%7B15.4%5C%2Cmiles%7D%7B1%5C%2Cgallon%7D%20%3D%5Cfrac%7Bx%20%7D%7B0.7%5C%2Cgallon%7D)
and to solve for the unknown number of mile, we multiply both sides of the equation by "0.7 gallon" in order to isolate our unknown:
![\frac{15.4\,miles}{1\,gallon} =\frac{x}{0.7\,gallon}\\\frac{15.4\,miles\,*\,0.7\,gallon}{1\,gallon} =x \\x=10.78\,miles](https://tex.z-dn.net/?f=%5Cfrac%7B15.4%5C%2Cmiles%7D%7B1%5C%2Cgallon%7D%20%3D%5Cfrac%7Bx%7D%7B0.7%5C%2Cgallon%7D%5C%5C%5Cfrac%7B15.4%5C%2Cmiles%5C%2C%2A%5C%2C0.7%5C%2Cgallon%7D%7B1%5C%2Cgallon%7D%20%3Dx%20%5C%5Cx%3D10.78%5C%2Cmiles)
Answer:
Therefore the length of side x in simplest radical form with a rational denominator is
![x=2\sqrt{6}](https://tex.z-dn.net/?f=x%3D2%5Csqrt%7B6%7D)
Step-by-step explanation:
Given:
Consider right triangle ABC
∠A = 60°
∠B = 90°
∠C = 30°
![AB=\sqrt{8}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B8%7D)
To Find:
BC = x = ?
Solution:
In Right Angle Triangle ABC Tan Identity
![\tan C= \frac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}](https://tex.z-dn.net/?f=%5Ctan%20C%3D%20%5Cfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20C%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20C%7D%7D)
Substituting the values we get
![\tan 30 = \dfrac{AB}{BC}](https://tex.z-dn.net/?f=%5Ctan%2030%20%3D%20%5Cdfrac%7BAB%7D%7BBC%7D)
![\dfrac{1}{\sqrt{3}}=\dfrac{\sqrt{8}}{x}\\\\x=\sqrt{3}\times \sqrt{8}=\sqrt{24}=2\sqrt{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%3D%5Cdfrac%7B%5Csqrt%7B8%7D%7D%7Bx%7D%5C%5C%5C%5Cx%3D%5Csqrt%7B3%7D%5Ctimes%20%5Csqrt%7B8%7D%3D%5Csqrt%7B24%7D%3D2%5Csqrt%7B6%7D)
Therefore the length of side x in simplest radical form with a rational denominator is
![x=2\sqrt{6}](https://tex.z-dn.net/?f=x%3D2%5Csqrt%7B6%7D)