Step-by-step explanation:
<em><u>I </u></em><em><u>thin</u></em><em><u>k</u></em><em><u> </u></em><em><u>mode</u></em><em><u>,</u></em><em><u>range</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>median</u></em><em><u> </u></em><em><u>dpo</u></em><em><u> </u></em><em><u>ako</u></em><em><u> </u></em><em><u>sure</u></em>
The length of the fifth piece is 2 3/4 inches.
Given:
1st piece of wood = 1 1/2 inches
2nd piece of wood = 1 13/16 inches
3rd piece of wood = 2 1/8 inches
f(n) = 1st term + common difference(n-1)
To get the common difference, we need to deduct the fraction from its preceding fraction.
1st piece: 1 1/2 = (2*1 + 1)/2 = 3/2
2nd piece: 1 13/16 = (16*1+13)/16 = 29/16
3rd piece: 2 1/8 = (8*2+1)/8 = 17/8
29/16 - 3/2 = 29/16 - (3/2 * 8/8) = 29/16 - 24/16 = (29-24)/16 = 5/16
17/8 - 29/16 = (17/8 *2/2) - 29/16 = 34/16 - 29/16 = (34-29)/16 = 5/16
Find: 5th piece's measurement
1st term : 1 1/2 or 3/2
common difference : 5/16
f(5) = 3/2 + 5/16 (5-1)
= 3/2 + 5/16 (4)
= 3/2 + (5*4)/16
= 3/2 + 20/16
= (3/2 * 8/8) + 20/16
= 24/16 + 20/16
= (24 + 20)/16
f(5) = 44/16
f(5) = 2 12/16 simplified to 2 3/4 inches.
Answer:
x = 8
Step-by-step explanation:
Step 1: Simplify both sides.
7 - 3x = -2/5x - 69/5
7 + - 3x = -2/5x + -69/5
-3x + 7 = -2/5x + -69/5
Step 2: Add 2/5x to both sides.
-3x + 7 + 2/5x = -2/5x + -69/5 + 2/5x
-13/5x + 7 = -69/5
Step 3: Subtract 7 from both sides.
-13/5x + 7 - 7 = -69/5 - 7
-13/5x = -104/5
Step 4: Multiply both sides by 5/(-13)
(5/-13) * (-13/5x) = (5/-13) * (-104/5)
x=8
Answer:
1. 93/100
2. 8 21/100
3. 24/100= 6\50= 3/25
4. 57/100
5. 48/100 = 24/50= 12/25
6. 3 48/100= 3 12/25
7. 2.232323= 2232323/1000000
2 232323/1000000
9x+3y=36
3y=-9x+36
y=-3x+36
For lines to be perpendicular their slopes must be negative reciprocals of each other...mathematically:
m1*m2=-1 and in this case for a line to be perpendicular to y=-3x+36 that line must have a slope of:
-3m=-1, m=1/3 so
y=x/3+b, and using point (6,2) we can solve for b, the y-intercept...
2=6/3+b
2=3+b
b=-1 so the perpendicular line passing through the point (6,2) is:
y=x/3-1 or more neatly...
y=(x-3)/3
