Surface area = 2 x 2 + 4 x 1/2 x 2 x 5
= 24 square inches
Answer:
(7,2)
Step-by-step explanation:
5x + 3y = 41
3x - 6y = 9
Multiply the first equation by 2
2(5x + 3y) = 41 *2
10x +6y = 82
Add this to the second equation
10x +6y = 82
3x - 6y = 9
----------------------
13x = 91
Divide by 13
13x/13 = 91/13
x=7
Now we can find y
5x+3y = 41
5(7) +3y =51
35+3y=41
Subtract 35 from each side
35-35+3y=41-35
3y = 6
Divide by 3
3y/3 = 6/3
y=2
Answer: b) they loaded 112356 lbs of cargo
Step-by-step explanation:
When a boat or an object floats in water, the volume of water that it displaces is equivalent to its weight.
When moving into the port, the cargo boat displaced 2200 ft³ of water. Since the density of water is 62.42 lb/ft³ and mass = density × volume, then the mass of the cargo boat on entering the port is
2200 × 62.42 = 137324 lbs
On leaving the port, it displaces 4000 ft³ of water. The mass of the cargo boat on leaving the port is
4000 × 62.42 = 249680 lbs
The difference in both masses is
249680 - 137324 = 112356 lbs
Therefore, they loaded 112356 lbs of cargo
55,57,59
Let the smallest integer = x
171= (x) + (x+2) + (x+4)
171= 3x + 6
3x = 165
x= 55
therefore the integers are 55, 57, 59
