width is x, than length is 2x+3 the perimeter is 2*(length+width) 36=2*(2x+3+x) 6x=30 x=5 width is 5yd and length is 5*2+3=13yd
your numbers are x, x+1 and x+2. Their sum is 141. So, solve for x: x+x+1+x+2=141 3x=138 x=46 numbers are 46,47 and 48
read this: http://www.purplemath.com/modules/slope2.htm should be opposite and invert. lets say one is a, another should be -1/a
check out this link: http://education.ti.com/calculators/timathnspired/US/Activities/Detail?sa=5022&t=5025&id=11977 but in general lets say we consider linear function y1=ax+b and exponential y2=e^x the rate of the function is its derivative: y1'=a (constant rate) y2'=e^x...
time=distance/speed if speed is given in ml per hour then: time=410/120=3.417 hours=3 hours 25 min plus half an hour totally for stops. total time will be 3 hours 55 min. if speed is given in km per hour you have to convert to ml per hour 1st: 1 km = 0.62 ml 120...
1ft = 12 in 1ft^3=12*12*12 in^3 so, 60 ft^3 = 60*12^3 = 103680 in^3
it's gonna be 4 different linear equations: x>0, y>0: y+x=2, y=2-x x>0, y<0: -y+x=2, y=x-2 x<0, y>0: y-x=2, y=x+2 x<0, y<0: -y-x=2, y=2-x
y=-5x+9 and y=-5x-21 The same slope for both equations (-5) which means these 2 lines are parallel
solve as a system of 2 equations. extract value of x from the 1st equation: 2x+4y=11 2x=11-4y x=5.5-2y plug this value of x in second equation: -5x+3y=5 -5(5.5-2y)+3y=5 -27.5+10y+3y=5 -27.5+13y=5 13y=32.5 y=2.5 x=5.5-2y=5.5-2*5=0...
3(x-9)=3 multiply x and -9 by 3: 3x-3*9=3 3x-27=3 add 27 to both sides: 3x=30 divide both sides by 3 x=10
there is a nice explanation here: http://www.wyzant.com/Help/Math/Geometry/Triangles/Right_Triangle_Congruence.aspx
the sum gives 198.699 and then you round it and the answer is 200.