<span>As far as i know it is related to Gauss.
Write the sequences forward and backward first.
1 +2 +3 +.....+1002
1002+1001+1000+.....+1
--------------------------------------... Adding them
1003+1003+......(1002 times)
=1002x1003
But this contains the series twice.
So, the sum is = 1002x1003/2=501x1003=502503. answer</span>
Answer:
12 m²
Step-by-step explanation:
Area of the floor:
area = length * width
area = 4 m * 5 m
area = 20 m²
area of carpet = 60% of area of the floor
area of carpet = 0.6 * 20 m²
area of carpet = 12 m²
Answer: B. x = 40
Step-by-step explanation:
The angles given are supplementary.
Supplementary angles are any two angles that add to 180 degrees, most commonly seen on one side of a straight line.
As these angles are supplementary, we can solve for x by adding both angles to get 180:
This means that the angle on the left is (3*40) + 15, or 135 degrees, while the angle on the right is 45 degrees. These angles add to 180 degrees.
The correct answer choice is B.
Answer:
27.91 pretzels.
Step-by-step explanation:
Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:
33 x 1/3 = 11
89 / 2.5 / 11 = X
35.6 / 11 = X
3.236 = X
3/4 = 0.75
3.236 x 1.5 x 5.75 = X
4.854 x 5.75 = X
27.91 = X
Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.
