Answer:
x+(x+2) = 156
Step-by-step explanation:
Let x = 1st odd integer
x+2 = next odd integer
x+(x+2) = 156
2x+2 =156
Subtract 2
2x= 154
Divide by 2
x = 77
x+2 = 79
Answer:
ln 6
Step-by-step explanation:
The sum of logs is the log of the product.
log a + log b = log ab

Answer:
10 hours
Step-by-step explanation:
volume of lower portion = 85x125x40 = 425,000
volume of upper portion = 20x30x125 = 75,000
in 1.5 hours, the pump removed 75,000
in one hour it removed 50,000 (75000/1.5 = 50,000)
425,000 / 50,000 = 8.5 hours for bottom portion
8.5 + 1.5 = 10 hours total time for top and bottom
Answer:
y = 45/2
Step-by-step explanation:
Given:
y = 4x - 1 1/2
find the value of y when x=6
y = 4x - 1 1/2
Substitute x = 6 into the equation
y = 4(6) - 1 1/2
y = 24 - 1 1/2
** 1 1/2 = 3/2
y = 24 - 3/2
y = (48-3) / 2
y = 45/2
y = 45/2 when x = 6
Must do the work inside parentheses first. Thus, you have
5/8 -(5/12)(13/4) + 2/3
LCD is 48. Convert this expression to that denominator:
30 65 32 127
--- - ------ + ----- = ------- (answer)
48 48 48 48