Answer:
![\large\boxed{x=-\dfrac{69}{2}\to x=-34\dfrac{1}{2}\to x=-34.5}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D-%5Cdfrac%7B69%7D%7B2%7D%5Cto%20x%3D-34%5Cdfrac%7B1%7D%7B2%7D%5Cto%20x%3D-34.5%7D)
Step-by-step explanation:
![\dfrac{2}{3}x-\dfrac{3}{4}=5+\dfrac{5}{6}x\qquad\text{multiply both sides by LCD = 12}\\\\12\!\!\!\!\!\diagup^4\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\diagup_1}=(12)(5)+12\!\!\!\!\!\diagup^2\cdot\dfrac{5}{6\!\!\!\diagup_1}x\\\\(4)(2x)-(3)(3)=60+(2)(5x)\\\\8x-9=60+10x\qquad\text{add 9 to both sides}\\\\8x-9+9=60+9+10x\\\\8x=69+10x\qquad\text{subtract}\ 10x\ \text{from both sides}\\\\8x-10x=69+10x-10x\\\\-2x=69\qquad\text{divide both sides by (-2)}\\\\x=-\dfrac{69}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B3%7D%7B4%7D%3D5%2B%5Cdfrac%7B5%7D%7B6%7Dx%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%20LCD%20%3D%2012%7D%5C%5C%5C%5C12%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E4%5Ccdot%5Cdfrac%7B2%7D%7B3%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7Dx-12%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E3%5Ccdot%5Cdfrac%7B3%7D%7B4%5C%21%5C%21%5C%21%5Cdiagup_1%7D%3D%2812%29%285%29%2B12%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E2%5Ccdot%5Cdfrac%7B5%7D%7B6%5C%21%5C%21%5C%21%5Cdiagup_1%7Dx%5C%5C%5C%5C%284%29%282x%29-%283%29%283%29%3D60%2B%282%29%285x%29%5C%5C%5C%5C8x-9%3D60%2B10x%5Cqquad%5Ctext%7Badd%209%20to%20both%20sides%7D%5C%5C%5C%5C8x-9%2B9%3D60%2B9%2B10x%5C%5C%5C%5C8x%3D69%2B10x%5Cqquad%5Ctext%7Bsubtract%7D%5C%2010x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C8x-10x%3D69%2B10x-10x%5C%5C%5C%5C-2x%3D69%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-2%29%7D%5C%5C%5C%5Cx%3D-%5Cdfrac%7B69%7D%7B2%7D)
Answer:
Give me a problem and I'll give you an answer. You didn't give a link the what your looking for.
Step-by-step explanation:
Depends on the calculator you have at your disposal. If it's one of the TI-83 series, you can use the built-in 'fnint' function.
https://brownmath.com/ti83/integr.htm
Answer:
Below
Step-by-step explanation:
5^n = 0.2
First write the number in exponential form with the base of 5 :
5^n = 5^-1
Because the bases are the same, we can set the exponents as equal :
x = -1
Hope this helps! Best of luck <3
Ann wants to choose from two telephone plans. Plan A involves a fixed charge of $10 per month and call charges at $0.10 per minute. Plan B involves a fixed charge of $15 per month and call charges at $0.08 per minute.
Plan A $10 + .10/minute
Plan B $15 + .08/minute
If 250 minutes are used:
Plan A: $10+$25=$35
Plan B: $15+$20=$35
If 400 minutes are used:
Plan A: $10+$40=$50
Plan B: $15+$32=$47
B is the correct answer. How to test it:
Plan A: $10+(.10*249 minutes)
$10+$24.9=$34.9
Plan B: $15+(.08*249 minutes)
$15+$19.92=$34.92
Plan A < Plan B if less than 250 minutes are used.