The weight of Euclid is 10.625 pounds, and the weight of Riemann is 21.25 pounds.
- <em>Let the current weight of Euclid = x</em>
- <em>Let the current weight of Pythagoras = T</em>
- <em>Let the January weight of Pythagoras = y</em>
The expression that represents the given scenario is written as;
- when Pythagoras lost 13 pounds: T = y - 13
- when Pythagoras gains 1.2 times Euclid's weight: = T + 1.2x
when Pythagoras weight is 1/4 pound less than weight in January:
T + 1.2x + 0.25 = y
y- 13 + 1.2x + 0.25 = y
1.2x - 12.75 = 0
Euclid's weight is calculated as follows;
1.2x = 12.75
![x = \frac{12.75}{1.2} \\\\x = 10.625 \ pounds](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B12.75%7D%7B1.2%7D%20%5C%5C%5C%5Cx%20%3D%2010.625%20%5C%20pounds)
The weight of Riemann is calculated as follows;
![= 2 (10.625)\\\\= 21.25 \ pounds](https://tex.z-dn.net/?f=%3D%202%20%2810.625%29%5C%5C%5C%5C%3D%2021.25%20%5C%20pounds)
Learn more about word problem to algebra here: brainly.com/question/21405634
Answer:
A. 1
Step-by-step explanation:
8 - 5x = 6 - 3x
-5x + 3x = 6 - 8
-2x = -2
divide through by -2
x = 1
Simply move the decimal place to the left 2 spaces to get .27
Answer:
![x_1=\frac{2+ 13.56466}{10}=1.5565\\\\x_2=\frac{2- 13.56466}{10}=-1.1565](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B2%2B%2013.56466%7D%7B10%7D%3D1.5565%5C%5C%5C%5Cx_2%3D%5Cfrac%7B2-%2013.56466%7D%7B10%7D%3D-1.1565)
Step-by-step explanation:
<u><em>Roots of Quadratic Equation:</em></u> Roots of
is given by
![x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![5x^2-2x-8=1\\\\5x^2-8x-9=0](https://tex.z-dn.net/?f=5x%5E2-2x-8%3D1%5C%5C%5C%5C5x%5E2-8x-9%3D0)
![Here\ a=5,\ b=-2,\ c=-9\\\\x=\frac{-(-2)\pm \sqrt{(-2)^2-4\times (5)(-9)}}{2\times 5}\\\\x=\frac{2\pm \sqrt{4+180}}{10}\\\\x=\frac{2\pm \sqrt{184}}{10}\\\\x=\frac{2\pm 13.56466}{10}\\\\x_1=\frac{2+ 13.56466}{10}=1.5565\\\\x_2=\frac{2- 13.56466}{10}=-1.1565](https://tex.z-dn.net/?f=Here%5C%20a%3D5%2C%5C%20b%3D-2%2C%5C%20c%3D-9%5C%5C%5C%5Cx%3D%5Cfrac%7B-%28-2%29%5Cpm%20%5Csqrt%7B%28-2%29%5E2-4%5Ctimes%20%285%29%28-9%29%7D%7D%7B2%5Ctimes%205%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B2%5Cpm%20%5Csqrt%7B4%2B180%7D%7D%7B10%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B2%5Cpm%20%5Csqrt%7B184%7D%7D%7B10%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B2%5Cpm%2013.56466%7D%7B10%7D%5C%5C%5C%5Cx_1%3D%5Cfrac%7B2%2B%2013.56466%7D%7B10%7D%3D1.5565%5C%5C%5C%5Cx_2%3D%5Cfrac%7B2-%2013.56466%7D%7B10%7D%3D-1.1565)