Problem Solving
Use Unit multipliers to convert 600 cubic cm per minute to cubic feet per hour
*note 2.54 cm=1in
((600)(60))/((2.54^3)(12^3)) (ft)^3/(hr)
Solve:
3x=2x^2-2
2, -1/2
(4x+3)/(x^2-9)+(2x)/(3-x)
(2x^2-2x+3)/((x+3)(x-3)
Simplify:
4/(3-sqrt2)
(12+4sqrt2)/7
Find the equation of the line that passes through (-2,-3) and is perpendicular to line y=-x -1
y=x-1
Find three consecutive positive integers such that 3 times the product of the first and third exceeds twice the product of the first and second by 32 .
4, 5, 6
Solve:
sqrt(2x-5)=9
42
Simplify:
(-2^0(-4^2))/(-4^3)
-1/4
Simplify:
sqrt(-4)--4i^2-2i^4+2-sqrt(-2)sqrt-2
-2+2i
Simplify:
2/(2-3i)
4/13 +6/13 i
Cornmeal feed is 10% protein and a feed supplement is 40% protein. How much of each must be combined to get 200 pounds of feed that is 19% protein?
140 pounds of 10% and 60pounds of 40%
Solve b:
a/x=c(a/x+b/y)
b=(ay-cay)/(cy)
ax-(ax)/(a-(a/x)
(a^2x^2-a^2x-ax^2)/(ax-a)
(sqrt4 -3)(sqrt3 +2)
-sqrt3 -2
(3x+7)/(-x-4)+(x-7)/(x+4)
(-2x-14)/(x+4)
The temperature of an ideal gas was held constant. Find the final pressure if the initial pressure and volume were 40,000 X 10^-3 newtons per square meter and 4000 x 10 ^-2 cubic cm and the final volume was 8000 x 10 ^-2 cubic cm.
2x10
x+2y-3z=5
2x-y-z=0
y=3z
(2,3,1)
(3^-2mm(m^-3p)^3)/((m^3p^-1)^3mpp^-4)
p^6/(9m^17)
(1+sqrt3)/(5-sqrt3
(4+sqrt3)/11
Simplify: 6
2sqrt(2/3)+3sqrt(3/2)+5sqrt24
(79sqrt6)/6
Estela drives 3 times as fast as her sister. So she makes the 375 mile trip home in 10 hours less time. How fast does each drive and how long does each travel?
Estela: Rate= 75mph time= 5 hours
Sister: Rate= 25mph time= 15 hours
-2+sqrt(x^2-4x-4)=x
-1
Simplify:
((y^2)^(a+1)y^(-2a))/y
y
-3sqrt(9sqrt3)
-3^(9/4)
RmTm=240; RQTQ=240; RQ=2Rm; Tm=TQ +4
RQ= 60; Rm=30; TQ= 4; Tm=8