Algebra :(
Simplify the following:
17x+5y+39x+5z
56x+5y+5z
A bag has 3 red balls and 2 blue balls. One ball is drawn. What is the probability that the ball is red
3/5
How many sides does a quadrilateral have?
Is 324 divisible by 3? (No calculator)
Yes
What is 35% of 80?
28
x2-10x+24 = 0
What are the two values of x that satisfy the following equation?
x = 6
x = 4
A fair coin is flipped twice. What is the probability of getting exactly one head?
1/2
A triangle has angles measuring 30 degrees and 40 degrees. What is the size of the third angle?
110 degrees.
Find the prime factorization of 180.
22 x 32 x 5
3(2x-5) = 27
x = 7
How many times does this equation cross the x axis?
x2-4x+4 = 0
Once
Q: A box contains 4 green, 3 yellow, and 2 purple marbles. One marble is drawn and not replaced, then another is drawn. What is the probability both marbles are green?
1/6
A triangle has side lengths 6cm, 8cm and 10 cm. What is the largest angle in this triangle?
96.4 degrees
Find the lowest common multiple (lcm) of 24 and 30
120
Solve x3−4x2−x+4=0.
x = -1, 1, 4
1/2 log10x+3(log10x)2=13
what answer is the only integer answer?
x = 100
Q: A standard deck of 52 cards is shuffled. What is the probability that the first card drawn is a king?
1/13
Consider points A (2,3), B (8,7) and C (4,-1).
What is the equation of the line AB?
2/3x + 5/3
Find the greatest common divisor of 420 and 588
84
Log3(2x-1) = 4
x = 41
f(x+1)−f(x)=4x+3
Given f(0) = 5, what is the explicit function f(x)?
f(x) = 2x2+x+5
A biased coin has probability p=0.3 of landing heads. It is flipped 5 times. What is the probability of getting exactly 2 heads?
0.3087
Consider points A (2,3), B (8,7) and C (4,-1).
What is the area of the triangle formed by ABC?
16 square units
Evaluate 6*76 mod 7
6*76 = 456 == 1 mod 7
A tank initially contains 50 L of pure water. Brine with salt concentration 0.2 kg/L flows in at a rate of 3 L/min, and the well‑mixed solution flows out at a rate of 2 L/min. Find a differential equation for S(t), the amount of salt (in kg) in the tank at time t minutes.
dS/dt=0.6−2S/(50+t)