Answer:
-27
Step-by-step explanation:
First, let's call the smallest number: n
Then, the next two consecutive odd numbers would be:
n+2 and n+4 (this is because it's only odd numbers so we add 2)
We know the sum of these is −75 so we can write this equation and solve for n:
n + (n + 2) + (n + 4) = -75
n + n + 2 + n + 4 = -75
n + n + n + 2 + 4 = -75
n + n + n + 6 = -75
1n + 1n + 1n + 6 = -75
3n + 6 = -75 Subtract 6 from each side, which cancels the 6 on the left.
3n + 6 - 6 = -75 - 6
3n = -75 - 6
3n = -81 Divide each side by 3
3n/3 = -81/3
n = -81/3
n = -27
n + 2 = -27 + 2 = -25
n + 4 = -27 + 4 = -23
The 3 consecutive odd integers would be:
-27, -25, -23
Let's check our work:
-27 + -25 + -23 = -75 We are correct!
The smallest number is -27
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
Since you did not give the picture of the problems so it is difficult to solve the problem. but i think this problem is about similar triangles, similar triangle are triangles that have corresponding angles are congruent and their sides are in proportion.
( x / 24) = 30 /18
x = 24 ( 30 / 18 )
x = 40 ft
Answer:
80 feet
Step-by-step explanation:
length of pool = 22 , width of pool = 18
feet required for fencing the pool = 2 (l +b)
= 2 ( 22+18)
=2*40
=80feet
