<span>0.03 x 1,000=30! In multiplying decimals, you'll move the decimal's period to the number of zeroes in the multiplier! 1,000 has 3 zeroes. So, it's equal to 30. So basically he was wrong because 0.03 times 1,000 doesn't equal 3 it equals 30. He made the mistake of not moving the decimal point enough.</span>
Answer:
![\huge\boxed{A.\ \dfrac{565}{182}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7BA.%5C%20%5Cdfrac%7B565%7D%7B182%7D%7D)
Step-by-step explanation:
![\dfrac{8}{7}-(5x-3)=\dfrac{1}{5}x-12\\\\\dfrac{8}{7}-5x+3=\dfrac{1}{5}x-12\qquad|\text{multiply both sides by 35}\\\\35\cdot\dfrac{8}{7}-35\cdot5x+35\cdot3=35\cdot\dfrac{1}{5}x-35\cdot12\qquad|\text{simplify}\\\\5\cdot8-175x+105=7\cdot x-420\\\\40-175x+105=7x-420\\\\-175x+(40+105)=7x-420\\\\-175x+145=7x-420\qquad|\text{subtract 145 from both sides}\\\\-175x=7x-565\qquad|\text{subtract }7x\ \text{from both sides}\\\\-182x=-565\qquad|\text{divide both sides by (-182)}\\\\x=\dfrac{565}{182}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B7%7D-%285x-3%29%3D%5Cdfrac%7B1%7D%7B5%7Dx-12%5C%5C%5C%5C%5Cdfrac%7B8%7D%7B7%7D-5x%2B3%3D%5Cdfrac%7B1%7D%7B5%7Dx-12%5Cqquad%7C%5Ctext%7Bmultiply%20both%20sides%20by%2035%7D%5C%5C%5C%5C35%5Ccdot%5Cdfrac%7B8%7D%7B7%7D-35%5Ccdot5x%2B35%5Ccdot3%3D35%5Ccdot%5Cdfrac%7B1%7D%7B5%7Dx-35%5Ccdot12%5Cqquad%7C%5Ctext%7Bsimplify%7D%5C%5C%5C%5C5%5Ccdot8-175x%2B105%3D7%5Ccdot%20x-420%5C%5C%5C%5C40-175x%2B105%3D7x-420%5C%5C%5C%5C-175x%2B%2840%2B105%29%3D7x-420%5C%5C%5C%5C-175x%2B145%3D7x-420%5Cqquad%7C%5Ctext%7Bsubtract%20145%20from%20both%20sides%7D%5C%5C%5C%5C-175x%3D7x-565%5Cqquad%7C%5Ctext%7Bsubtract%20%7D7x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C-182x%3D-565%5Cqquad%7C%5Ctext%7Bdivide%20both%20sides%20by%20%28-182%29%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B565%7D%7B182%7D)
Answer:
48 cents
Step-by-step explanation:
6 - 3 = 3
-2 - (-9) = 7
(3 , 7)
<span>6x-2y=5
</span><span>x-intercept = 5/6
<span> y-intercept = 5/-2
</span></span><span>3x+2y=-2
</span><span> x-intercept = -2/3
y-intercept = -2/2</span>