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I. xy + 2y=3 Not linear equation because is grade 2 equation (xy).
II. x-2y = y Are linear equations in two unknowns (x and y).
III. 3x + 2y = 5 Are linear equations in two unknowns (x and y).
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Corect ansver: C) II and III only</h2><h2>
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- Make an equation representing the number of vehicles needed.
We have six drivers so
x + y ≤ 6
That's not really an equation; it's an inequality. We want to use all our drivers so we can use the small vans, so
x + y = 6
- Make an equation representing the total number of seats in vehicles for the orchestra members.
s = 25x + 12y
That's how many seats total; it has to be at least 111 so again an inequality,
25x + 12y ≥ 111
We solve it like a system of equations.
x + y = 6
y = 6 - x
111 = 25x + 12y = 25x + 12(6-x)
111 = 25x + 72 - 12x
111 - 72 = 13 x
39 = 13 x
x = 3
Look at that, it worked out exactly. It didn't have to.
y = 6 - x = 3
Answer: 3 buses, 3 vans
Answer:
137 of the students are girls and 389 are boys which in total is 526
Answer:
43.92
Step-by-step explanation:
First you need the measure of angle C
180 - 90 - 37 = 53 degrees
Then use the Law of Sines with the pair you know:
sin 90 / 55 = sin 53 / x
Solve the equation
x * sin 90 / 55 = sin 53
x * sin 90 = 55 * sin 53
x = 55 * sin 53/sin 90
x = 43.92
