Answer:
<h3>
9, 11, 13, 15</h3>
Step-by-step explanation:
{k - some integer}
2k+1 - the first odd integer (the least)
5(2k+1) - five times the least
5(2k+1)+3 -<u> three more than five times the least</u>
2k+1+2 = 2k+3 - the odd integer consecutive to 2k+1
2k+3+2 = 2k+5 - the next odd consecutive integer (third)
2k+5+2 = 2k+7 - the last odd consecutive integer (fourth)
2k+1+2k+3+2k+5+2k+7 - <u>the sum of four odd consecutive integers</u>
2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3
8k + 16 = 10k + 5 + 3
- 10k -10k
-2k + 16 = 8
-16 - 16
-2k = -8
÷(-2) ÷(-2)
k = 4
2k+1 = 2•4+1 = 9
2k+3 = 2•4+3 = 11
2k+5 = 2•4+5 = 13
2k+7 = 2•4+7 = 15
Check: 9+11+13+15 = 48; 48-3 = 45; 45:5 = 9 = 2k+1
Answer:
g=1.5
Step-by-step explanation:
you want to eliminates the 2/5 so you do that by dividing it by itself (since you do the opposite equation) you do this on both side (so do 2/5 divided by itself, and 3/5 divided by 2/5) getting you 1.5 therefore all you have on the left side if this equation is g so g=1.5
Answer:
2.3 yard
Step-by-step explanation:
Divide the length (84) by 36 inches (one yard)
It is 8300 cause 5 is bigger than 2 so 83 and hen 00 : 83000
Answer:
602.88 in³
12
Step-by-step explanation:
Formula for volume of a cylinder = πr² · h
radius (r) = 1/2(diameter)
1. Set up the equation
radius = 4
(3.14)(4²)(3·4)
2. Solve
3.14(16)(12) = 602.88 in³
Formula for volume of a cone = 1/3πr² · h
The formula of a cone is 1/3 the volume of a cylinder. Therefore, a cone that fits perfectly within the dimensions of a cylinder would have a volume equal to 1/3 of the volume of the cylinder.
1. Set up the equation and solve
36 ÷ 3 = 12
