(75 * X) - 58 = 283
Not really much to explain here, sorry.
We start with:
y=2x-15
y=5x
Now, we have a perfectly set-up variable we can get rid of: <em>y.</em>
But we need to make either the top or bottom equation negative, so for simplicity, let's make the bottom one negative.
y=2x-15
(-y)=(-5x)
Now simplify.
-3x-15=0
Add 3x on both sides.
3x=15
Divide by 3 on both sides.
x=5
Answer: approximately 12.17 units
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Work Shown:
We'll use the tangent ratio to find r
tan(angle) = opposite/adjacent
tan(49) = 14/r
r*tan(49) = 14
r = 14/tan(49)
r = 12.1700143294271
r = 12.17
The radius is approximately 12.17 units long.
Answer: 96 adult tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of students tickets that were sold.
For the last basketball game, 381 tickets were sold. This means that
x + y = 381
Adult tickets sold for $7, and student tickets sold for $3. If the ticket sales totaled 1,527, it means that
7x + 3y = 1527 - - - - - - - - - - - -1
Substituting x = 381 - y into equation 1, it becomes
7(381 - y) + 3y = 1527
2667 - 7y + 3y = 1527
- 7y + 3y = 1527 - 2667
- 4y = - 1140
y = - 1140/- 4
y = 285
x = 381 - y = 381 - 285
x = 96
