Answer:
<h2>140 minutes</h2>
Step-by-step explanation:
this problem focuses on the combined work rate
both can finish the work under 63 minute
let bobby mow the lawn in x minute
Billy will then mow the lawn in x-25 minutes
Let the completed job = 1 (a mowed lawn)
we can now apply the combined work formula for the two boys as
multiplying through by x(x-25 )we have
![63(x-25)+63x= x(x-25)](https://tex.z-dn.net/?f=63%28x-25%29%2B63x%3D%20x%28x-25%29)
open bracket we have
![63x-1575+63x= x^2-25x](https://tex.z-dn.net/?f=63x-1575%2B63x%3D%20x%5E2-25x)
rearranging and collecting like terms we have
![0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0](https://tex.z-dn.net/?f=0%3Dx%5E2-25x-63x-63x%2B1575%20%5C%5C%5C%5C0%3Dx%5E2-151x%2B1575%20%5C%5C%5C%5Cx%5E2-151x%2B1575%3D0)
we can now use the quadractic formula
a= 1
b= -151
c= 1575
![x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-151%29%5Cfrac%7B%2B%7D%7B%7D%20%5Csqrt%7B151%5E2-4%2A1%2A1575%7D%20%7D%7B2%2A1%7D)
![x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-151%29%5Cfrac%7B%2B%7D%7B%7D%20%5Csqrt%7B22801-6300%7D%20%7D%7B2%7D%20%5C%5C%5C%5Cx%3D%5Cfrac%7B-%28-151%29%5Cfrac%7B%2B%7D%7B%7D%20%5Csqrt%7B16501%7D%20%7D%7B2%7D%20%5C%5C%5C%5Cx%3D%5Cfrac%7B-%28-151%29%5Cfrac%7B%2B%7D%7B%7D%20128.45%7D%7B2%7D%20%5C%5C%5C%5C)
![x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-151%29%2B128.45%7D%7B2%7D%20%5C%5C%5C%5C%5Cx%3D%5Cfrac%7B279.45%7D%7B2%7D%20%5C%5C%5C%5Cx%3D139.72%20%5C%5C%5C%5C%5C%5Cx%3D%5Cfrac%7B-%28-151%29-128.45%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B151-128.45%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B22.55%7D%7B2%7D%5C%5C%5C%5Cx%3D11.27)
the first answer x= 139.72 approximately 140 minutes mins is correct for Bobby's time
let us check
![\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1](https://tex.z-dn.net/?f=%5Cfrac%7B63%7D%7B140%7D%2B%5Cfrac%7B63%7D%7B140-25%7D%3D1%5C%5C%5C%5C%5C%5C0.45%2B%5Cfrac%7B63%7D%7B115%7D%20%3D1%5C%5C%5C%5C0.45%2B0.5478%3D1%5C%5C0.997%20%3D1)
we can see that the solution approximates to 1
Answer:
Step-by-step explanation:
-34 nickles is = 1.70
34 quarter is = 8.50
1.70 plus 8.50 plus 4.90 = 15.1 i think
Step-by-step explanation:
some to check if it correct
Answer:
256/5=51.2
Step-by-step explanation:
That is the simplest fraction form. :)