Answer:
1041.66 a month
Step-by-step explanation:
250,000 x 0.05 = 12,500
12,500 a year
12,500 / 12 = 1041.66
1041.66 a month
Write an equation system based on the problem. For an instance, x represents the number of $3 tickets sold and y represents the number of $5 tickets sold.
x + y = 40
3x + 5y = 136
Solve the equation system using elimination method. Use elimination of y in order to find the value of x
x + y = 40 (multiplied by 5)
3x + 5y = 136 (multiplied by 1)
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5x + 5y = 200
3x + 5y = 136
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2x = 64
x = 64/2
x = 32
The value of x is 32. She sold 32 tickets worth $3
Answer:
125
Step-by-step explanation:
We're looking for a number that we can multiply three of the same number to get. For example, 25 is a perfect square, because 5*5 = 25.
You can test these all on your calculator, if you're allowed! Just take the third root of all of them, and if it's a whole number, you know you have a perfect cube.
The answer, though, is 125, because 5*5*5 = 125.
We can use the Sine Law:
a / sin A = b / sin B
16 / sin 22° = 25 / sin B
16 / 0.3746 = 25 / sin B
sin B = 25 · 0.3746 / 16
sin B = 0.5853
∠B = sin^(-1) 0.5853
∠B = 35.83° ≈ 35.8°
Answer: b. 35.8°
