Alrighty! KFC! Keep, change, flip! When dividing fractions, you keep the first fraction, flip the second, and change the divide sign to multiply. Here is work as requested.
9514 1404 393
Answer:
y -2 = -2/3(x +4)
Step-by-step explanation:
There are several different forms of the equation for a line. Each is useful in its own way. Here, the line crosses the y-axis at a point between integer values, so using that intercept point could be problematical. That suggests the "point-slope" form of the equation for a line would be a better choice.
That form is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
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The two marked points are (-4, 2) and (5, -4). All we need is the slope.
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1) . . . . . . . . where the given points are (x1, y1) and (x2, y2)
m = (-4 -2)/(5 -(-4)) = -6/9 = -2/3
Using the first point, the equation for the line can now be written as ...
y -2 = -2/3(x -(-4))
y -2 = -2/3(x +4)
Answer:
48
Step-by-step explanation:
The ratio of professors to lecturers is ...
P : L = 6 : 11
Then the ratio of professors to total faculty is ...
P : (P+L) = 6 : (6+11) = 6 : 17
That is, professors make up 6/17 of the total faculty. Their number is ...
P = (6/17)·136 = 48
The Community College employs 48 professors.
Answer:
selecting one item? If you mean each color:
40% chance for a red marble / 2/5 chance
60% chance for a blue marble / 3/5 chance
Step-by-step explanation:
Because there are 12 blue marbles and 8 red marbles, we would total them to see how many marbles there are in total. There are 20 in total, but to find the probability, if we put all 20 marbles in a bag (blue and red), and we picked a marble at random, there are 8 red marbles and 12 blue marble in that bag. The probability that I will choose red marbles is 8/20 (or 8 red marbles out of 20 total marbles), and for blue marbles, it would be 12/20 (or 12 blue marbles out of 20 total marbles). Simplify both expression to 2/5, and 3/5 respectively. Finally, if you need percentage, just multiply the denominator by 5 to get it to a hundred, and do the same to the numerator. This way you don't change the value of the expression.
