Hi!
When you add a negative number, you really just subtract it. So let's solve this.
Convert the mixed numbers into improper fractions.
Solve
434 - 351 = 83
The sign of this fraction is positive
Hope this helps! :)
-Peredhel
The sum of 3 consecutive odd numbers is 183. What is the third number in this sequence?
2 answers:
Answer:
The third number in this sequence is 63.
Step-by-step explanation:
Let the first odd number be <em>x</em>.
Since our sequence are consecutive odd numbers, the second term must be (<em>x</em> + 2) and the third (<em>x</em> + 4). If we only add one, we will get even numbers.
Their sum is 183. Hence:
Solve for <em>x</em>. Combine like terms:
Subtract six from both sides:
And divide both sides by three. Hence:
Therefore, our sequence is 59, 61, and 63.
The third number in this sequence is 63.
Note: If we do not get an odd number or if we get a fraction for <em>x</em>, we can conclude that no three consecutive integers sum to 183.
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Answer:
<em>P=760</em>
Step-by-step explanation:
Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.
Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).
This shape has sides that are parallel to both axes.
To calculate the perimeter we find the length of two sides.
The distance from A to B is the difference between their y-axis:
w=112-(-3)=115
The distance from A to C is the difference between their x-axis:
l=2-(-212)=215
It's evident this is not a square but a rectangle. The perimeter is
P=2w+2l=330+430
P=760
1 cubic foot has 7.48 gallons of water.
Volume of water tank = 234 cubic feet
So, the number of gallons are =
Hence, the water tank can hold 1750.32 gallons of water.