87 because 13.688 is way less than 87
Answer:c
Step-by-step explanation:
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The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
We are aware that any straight line's equation can be expressed as
y = mx + c,
where m denotes the slope and c denotes a constant.
Also, two perpendicular lines' slopes are the negative reciprocals of one another.
Here, the equation of the given straight line is
3x+8y=4
i.e. 8y = 4 -3x
i.e. y = (4/8) - (3/8)x
Now the negative reciprocal of - 3/8 is 8/3.
Then we can write the equation of the perpendicular line is
y = (8/3)x + c ...(1)
Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.
So, -9 = (8/3)*8 + c
i.e. -9 = 64/3 + c
i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3
(1) can be written as
y = (8/3)x - (91/3)
i.e. 3y = 8x - 91
i.e. 8x - 3y = 91
Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
Learn more about perpendicular lines here -
brainly.com/question/12209021
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Answer:180 adults were admitted.
Step-by-step explanation:
Let x represent the number of children that were admitted into the park.
Let y represent the number of adults that were admitted into the park.
The admission fee at the amusement park is $1.50 for children and $4 for adults.
The admission fees collected totaled 1,014.00 dollars. This means that
1.5x + 4y = 1014 - - - - - - - - - -1
On a certain day, 376 people entered the park. This means that
x + y = 376
Substituting x = 376 - y into equation 1, it becomes
1.5(376 - y) + 4y = 1014
564 - 1.5y + 4y = 1014
- 1.5y + 4y = 1014 - 564
2.5y = 450
y = 450/2.5 = 180
Substituting y = 180 into x = 376 - y, it becomes
x = 376 - 180 = 196