$140 because
$91 divided by 65 is 1.4
1.4 times 100 is 140
Answer: A
Step-by-step explanation: when you plug 3 into both equations you get 5
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
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Answer:
D. 60
Step-by-step explanation:
Since the question stated that the number of marbles given out to his 6 friends were equal, we are certain that the total number of marbles is a factor or multiple of 6.
The only other assumption here is the number of marbles given has to be whole number. This means we just have to go through the answer choices and pick the one that is a multiple of 6.
A. 15 - This is wrong as 15 is not a multiple of 6.
B. 33 - This is wrong as 33 is not a multiple of 6.
C. 56 - This is wrong as 56 is not a multiple of 6.
D. 60 - This is CORRECT as 60 is a multiple of 6.
If Jorge gives each of his friends 10 marbles each, it would bring the total number of marbles to be 60.
Dance class is at 3:45pm, because the dance studio would not be open that early.