Each number in the sum is even, so we can remove a factor of 2.
2 + 4 + 6 + 8 + ... + 78 + 80 = 2 (1 + 2 + 3 + 4 + ... + 39 + 40)
Use whatever technique you used in (a) and (b) to compute the sum
1 + 2 + 3 + 4 + ... + 39 + 40
With Gauss's method, for instance, we have
S = 1 + 2 + 3 + ... + 38 + 39 + 40
S = 40 + 39 + 38 + ... + 3 + 2 + 1
2S = (1 + 40) + (2 + 39) + ... + (39 + 2) + (40 + 1) = 40×41
S = 20×21 = 420
Then the sum you want is 2×420 = 840.
Answer:
1 1/2 cups
Step-by-step explanation:
2/3 cup of almonds = 4 cups of trail mix
4 cups of trail mix = 2/3 cup of almond
4 cups of trail mix = 2/3 cup of almond
1 cup of trail mix = 2/3 ÷ 4 = 1/6 cup of almond
1 cup of trail mix = 1/6 cup of almond
9 cups of trail mix = 1/6 x 9 = 3/2 cup of almond
3/2 cups = 1 1/2 cups
Answer:
y = 3x - 4
Step-by-step explanation:
With the slope and a point, I can make an incomplete slope-intercept equation and solve for the y-intercept.
The equation is:
Hope this helps!
The multiplicative of 6 is 1/6
