Conversion Fun
100 square kilometers to square centimeters
Round to nearest tenth.
92,903 cm^2
(54, #10)
x=4
10x+12x
22x
What % by weight of Na2S2O3 is sodium?
Na=23, S=32, O=16
29%
(53, #1)
Simplify:
(3i-5)(2+4i)
-22-14i
(64, #14)
Convert:
40 inches per second to meters per hour.
Round your answer to the nearest tenth.
3,657.6 m/hr
(59, #17)
Solve by completing the square:
3x^2 + 5x - 6 = 0
Simplify:
(3+5i)(4-5i)
37+5i
Solve using equations for direct and inverse variation:
The number of boys in every classroom of a school varies directly as the number of girls. In one room, there are 8 boys and 2 girls. If in another room there are 7 girls, how many boys are in this room?
28 boys
(60, #1)
Simplify:
9i^3 - 3i^4 + 2sqrt(-4) + sqrt(-2)sqrt(-2)
-5-5i
(64, #9)
Convert:
400 centimeters per minute to yards per second.
Round to nearest 10th
0.1 yd/sec
(63, #18)
Find x:
[(a+b)/x] + [y/m] = k
(am+bm)/(km-y)
(55, #6)
Simplify:
i^4 - 5i^3-3[sqrt(-3)sqrt(-5)]
1+3sqrt(15)+5i
Find four consecutive integers such that the product of the first and the fourth is 22 less than the product of 10 and the opposite of the third.
-7, -6, -5, -4 and -6, -5, -4, -3
(59, #1)
An amount of an ideal gas was placed in a container whose volume was constant. The pressure was found to be 700 newtons per square meter and the temperature was at 400k. If the pressure was increased to 2800 newtons per square meter, what was the final temperature?
1600 K
(64, #2)
60 kilometers per hour to inches per second.
Round to nearest tenth.
656.2 inches per second
Find e: [(mp/c)]+[(d+e)/x)]=d
(cdx-mpx-cd)/c
(55, #7)
Simplify:
x+[1/(a+b/c)]
(acx+bx+c)/(ac+b)
(65, #9)
Four liters of an ideal gas at a temperature of 800k had a pressure 100 newtons per square meter. If the volume were increased to 12 liters and the temperature reduced to 600k, what would the pressure be?
25 N/m^2
(57, #1)
Solve the system of equations below:
Equation #1: (x/3)+(3y/4)=(-1/4)
Equation #2: 0.04x-0.2y=1.13
(33/4, -4)
(59, #8)
Convert:
4 cubic miles to cubic kilometers.
Round your answer to the nearest tenth.
16.7 km^3
(63, #19)
Solve by completing the square:
-x+5x^2=-3
(1/10) +/- [sqrt(59)/10]i
Simplify:
b+[1/(1/z)+2m)
(b+2bmz+z)/(1+2mz)
How much water must be evaporated from 400 gallons of a 15% saline solution to get a 40% saline solution?
250 gallons
Find the values for all variables:
RwTw=8, RbTb=8, Rb=4Rw, Tb=2-Tw
Rb=20, Rw=5, Tb=2/5, Tw=8/5
(65, #6)