same as before, we add the 1st and 3rd columns, since the mixture is just the sum of the elements above it.
how many lbs will it be of the 3.50 per lb coffee? well, y = 25 -x.
From left to right:
(4 3/8), (6 2/9), (3/10), (5 1/15), (3 5/12), (1 7/16), (5 9/40), (2 7/22), (3/16), (3 1/9), (2 9/28), (5 1/8), (7 3/16), (5 3/20), (3 11/40), (3 3/14)
Her average in first three test = 89
This means, her total scores in first three test were = 3 x 89 = 267
Her average in four tests = 91
This means, her total scores in four tests are = 364
267 give the sum of first three test scores. and 364 give the sum of scores with fourth test adding in three tests.
So, subtracting 267 from 364 will give us the scores of Fourth test.
Scores of Fourth test = 364 - 267 = 97
Thus, Samantha's Claim is correct
Find the equation of the line connecting (0, 5) and (-2, 0).
As we go from the first point to the second, x decreases by 2 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/(-2), or 5/2.
Starting with the general equation of a line in slope-intercept form, y = mx + b, substitute the knowns as appropriate to determine the value of b:
y= mx + b => 5 = (5/2)(0) + b. Then b = 5, and the desired equation is
y = (5/2)x + 5.
Check this! If we subst. the coordinates of (-2,0) into this equation, is the equation true?
0 = (5/2)(-2) + 5
Yes. So, y = (5/2)x + 5 is the desired equation.
