We know that the slope formula is m = (y1 - y2)/(x1 - x2)
Your points are: (3, 7) and (4, -8)
In this case,
x1 = 3
x2 = 4
y1 = 7
y2 = -8
Now, just plug in the numbers:
m = (7 - -8)/(3-4)
m = 15/-1
m = -15
Your slope is -15.
Deacon Middle School
5x = number of boys
4x = number of girls
where x is some unknown number for now
(number of boys)+(number of girls) = 270 students total
5x+4x = 270
9x = 270
x = 270/9
x = 30
Since x = 30, this means
number of girls = 4x
number of girls = 4*30
number of girls = 120
There are 120 girls at Deacon Middle School
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Similarly, for Meadow Middle school
number of boys = 4y
number of girls = 5y
for some number y
(number of boys) + (number of girls) = 180 students total
4y+5y = 180
9y = 180
y = 180/9
y = 20
making,
number of girls = 5*y
number of girls = 5*20
number of girls = 100
so there are 100 girls at Meadow Middle School
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In summary so far, there are...
120 girls at Deacon Middle School
100 girls at Meadow Middle School
In total 120+100 = 220 girls from both schools
This is out of 270+180 = 450 students total
Divide the two values (220 and 450) to get
220/450 = 22/45
The final answer is 22/45
It cannot be reduced further as there are no common factors (other than 1) between 22 and 45
Are you sure you wrote the question correctly? If I'm doing this right, none of the answers provided are correct.
Answer:
m = 4.08
Step-by-step explanation:
The line that fits good for the given data is given by :
y = 4.08x + 63.13
We need to find the slope of the given line.
The general equation of the line is given by :
y = mx +c
Where
m is slope of the line
c is y-intercept
So, the slope of the given line is 4.08.
The store must sell 40 bikes each month to break even.
Step-by-step explanation:
Given,
Operating cost of store = $2400
Average paid per bike = $60
Average selling price of one bike = $120
Let,
x be the number of bicycle.
Therefore, to break even
Total operating costs per month = Total bikes sold each month
2400+60x = 120x
Subtracting 60x from both sides
Dividing both sides by 60
The store must sell 40 bikes each month to break even.
Keywords: linear equation, subtraction
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