What quantity of a 40% acid solution must be mixed with a 10% solution to produce 300 mL of a 30% solution?
What will be an ideal response?
200 mL
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Use least common multiple or greatest common divisor to solve the problem.Planets A, B, and C orbit a certain star once every 3, 5, and 18 months, respectively. If the three planets are now in the same straight line, what is the smallest number of months that must pass before they line up again?
A. 26 months B. 90 months C. 270 months D. 54 months
Planets travel in elliptical orbits with the sun at one focus. Assume that the focus is at the pole, the major axis lies on the polar axis, and the length of the major axis is 2a (see figure). The polar equation of the orbit of a planet is given below, where e is the eccentricity. If 
miles and 
find the perihelion distance (the minimum distance from the sun to the planet). Round your answer to the nearest mile.
A) 86,596,392 miles
B) 91,219,608 miles
C) 8,659,639 miles
D) 9,121,961 miles
E) 865,963,920 miles
Using a sum or difference identity, write the following as an expression involving functions of x.sin (x + 45°)
A. sin x
B. -cos x
C. 
cos x - 
sin x
D. 
cos x + 
sin x
Evaluate. Simplify and adjust the mixed number if the answer contains an improper fraction.1
+ 7
A. 5
B. 8
C. 9
D. 9