In a group of students the ratio of girls to boys is 3 to 2. If there are 15 girls, how many total students are there?
1 answer:
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We first rewrite the line y - 3x = – 8 in <span>slope-intercept form as:
y=3x-8.
The form y=mx+n is called the "</span>slope-intercept form" because m tells us the slope and n tells us the y-intercept of the line.
Thus, the slope of the line is 3. We know that if a is the slope of any line perpendicular to our line, then the product of these slopes, 3a, is -1.
This means that the slope a is equal to -1/3. We are also given that the perpendicular line contains (3, 2). Thus, we write the equation:
Answer:
y=3x-8.
The form y=mx+n is called the "</span>slope-intercept form" because m tells us the slope and n tells us the y-intercept of the line.
Thus, the slope of the line is 3. We know that if a is the slope of any line perpendicular to our line, then the product of these slopes, 3a, is -1.
This means that the slope a is equal to -1/3. We are also given that the perpendicular line contains (3, 2). Thus, we write the equation:
Answer:
Answer:
a) m =589.734kg
b) n = 8 people (rounded down)
Step-by-step explanation:
The first step is to calculate the maximum load after safety considerations (
Since we know that the maximum tension the cables can withstand is 19500N (or 19.5kN). To calculate ( we multiply this value by
(as per the given safety consideration.
Hence
a) Now to find the maximum load in kgs, we use the following formula
Where
= mass of elevator
= maximum load
= acceleration due to gravity
= maximum acceleration of elevator
Inputting the values and solving
Hence the maximum load is m =589.734kg
b) To find the number of people (n) we divide the value of m by 70kg
n = 589.734 / 70
n = 8.42 or 8 people