Ratios/Proportions
20% of the nitrogen combined with the other elements. If 740 kg of nitrogen did not combine, how much did combine?
185 kg
Use elimination to solve:
5x + 25y = -160
-3x + 2y = -23
(3, -7)
If one of the legs of a right triangle is 8 cm, and the square of the hypotenuse is 100 square cm, what is the missing leg's length?
6 cm
Divide -3x3 - 2 by -2 + x
-3x2 - 6x - 12 - 26/(x-2)
The formula required that 20 kg of carbon be used to get 160 kg of the compound. How many kg of other components were needed to make 640 kg of the compound?
560 kg
Solve:
0.07x - 0.7 = -7.7
x = -100
Find the distance between (-3, -5) and (2, 4)
D = approx. 10.3 (square root of 106)
Simplify:
-40[(-5 + 2) - |-3+7| - 3(-1 - (-2)0)]
1
Only 40% of the combustibles burned. If 240 tons burned, how many tons did not burn?
360 tons
Solve:
-[(-2 - 6)(-2) - 2] = -2[(x - 2)2 - (2x - 3)3]
x = -0.5
Find the equation of the line through (-3, -5) and (2, 4)
y = 9/5x + 2/5
Multiply and simplify: (4x2 - 2x + 2)(-3 + 2x)
8x3 - 16x2 + 10x - 6
19% of the nitric acid was used in the experiment. If 1134 liters remained, how much nitric acid had been available in the beginning? How much had been used?
1400 liters in the beginning and 266 liters used
Use substitution to solve:
y - 2x = 8
2y + 2x = 40
(4, 16)
Find the equation of a line that has a slope of -1/12 and passes through the point (2, 5)
y = -1/12x + 31/6
Find three consecutive integers such that -5 times the sum of the first and the third is 24 greater than 4 times the opposite of the second
-5, -4, and -3