Answer:
Step-by-step explanation:
Each term of the given arithmetic sequence is 6 more than the previous one. Thus, the next term is 26+6, or 32.
a(n) = 8 + 6(n-1)
A. You need to compare 2/5, 1/2 and 3/4
2/5= .4
1/2= .5
3/4=.75
Therefore the bucket that is 2/5 full is less than 1/2 full
The answer is 3 ft
The surface area (SA) of a cylinder with radius r and height h is:
SA = 2πr² + 2πrh = π(2r² + 2rh)
We have:
SA = 126π ft²
h = 3 * d
d = 2r
h = 3 * 2r = 6r
126π = π(2r² + 2rh)
126 = 2r² + 2rh
126 = 2r² + 2r * 6r
126 = 2r² + 12r²
126 = 14r²
r² = 126/14
r² = 9
r = √9
r = 3
Answer: 11
Step-by-step explanation:
Set up an equation
Based on the question, we can determine that 4x = 22 + 2x where x in is the number
"Four times a number" -> <u>4x</u>
"was" -> <u>=</u>
"22 greater than" -> <u>22 +</u>
"twice the same number" -> <u>2x</u>
Put the underlined parts together to get <u>4x = 22 + 2x</u>
Solve equation
Rearrange/collect like terms to solve for x by subtracting 2x from both sides
4x = 22 + 2x
2x = 22
Solve for x by dividing each side by 2
2x = 22
x = 11
Final Answer
x = 11
