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Answer: D) 8/6</h3>
Start at (0,0). To get to the other point, you must move up 8 units and move to the right 6 units.
slope = rise/run = (change in y)/(change in x) = 8/6
Or you could use the slope formula
m = (y2-y1)/(x2-x1)
m = (8-0)/(6-0)
m = 8/6
Normally I would reduce, but your teacher has decided not to.
8/6 reduces to 4/3 when you divide both parts by 2.
We can solve this question easiest by putting it as 2 equations.
First, well put the original equation, 2c+5b=55,000. B stands for the cost of backyard pool weddings and c stands for the cost of carribean weddings.
We got this equation because the question states that there were 2 carribean weddings and 5 pool weddings, and the amount of money obtained was $55,000 total as a result.
Now, we’ll put the extra information into an equation, c-10,000=b. We got this equation because it clearly states that backyard pool weddings cost 10,000 less than Caribbean, so c-10,000=b.
Now, we have to solve. Since the first equation has 2 variables, it is unsolvable. This is where the second equation comes in. We can rewrite c-10,000=b as b+10,000=c.
Now, since b+10,000=c, substitute b+10,000 for c in the first equation.
The result is 2(b+10,000)+5b=55,000.
Now that we only have one variable in the equation, it is solvable.
20,000+7b=55,000
7b=55,000
B=7,857
Now to solve for c, insert 7,857 for b in the second equation.
7,857+10,000=c
17,857=c
The cost of carribean weddings was $17,857.
The cost of a backyard pool wedding was $7,857.
Hope this helps!
Answer:
see below
Step-by-step explanation:
There are 7 students between 120 and 124 so take the median of 122
Multiply the number of students by the median
7 * 122 =854
There are 8 students between 124 and 128 so take the median of 126
Multiply the number of students by the median
8 * 126 =1008
There are 13 students between 128 and 132 so take the median of 130
Multiply the number of students by the median
13 * 130 =1690
There are 9 students between 132 and 136 so take the median of 134
Multiply the number of students by the median
9 * 134=1206
There are 3 students between 136 and 140 so take the median of 138
Multiply the number of students by the median
3 * 138 =414
To find the mean, take the total weight and divide by the number of students
(854+1008+1690+1206+414) = 5172 lbs
7+8+13+9+3 = 40 students
5172/40 =129.3 lbs for the average
This is an estimate because we do not know that the number of students in each category will weight the median on average. We use the mean as an estimate of their weight. The median is the middle number of the category.
from the question, (-2,2) and (1,2) have the same y value so you can use that as your base and easily find the perpendicular height using the y axis since it's parallel to the x axis.
the third point, (0,-6), to the base is your height
use the sum of the positive of the y values to find your height (because height can't be negative): 6+2 = 8
area of a triangle = 1/2 bh = 1/2 x 3 x 8 = 12
Note: 1/2 bh only works because (-2,2) and (1,2) form a line parallel to the x axis
