Answer:
By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.
Answer:
-13
Step-by-step explanation:
(7−15−3+5−7)⋅1
Subtract 15 from 7 to get −8.
(−8−3+5−7)×1
Subtract 3 from −8 to get −11.
(−11+5−7)×1
Add −11 and 5 to get −6.
(−6−7)×1
Subtract 7 from −6 to get −13.
−13
Answer: Width = 24 inches
Step-by-step explanation:
Let W represent the width of the rectangular sign.
The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be
W/2 + 6
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be
W(W/2 + 6) = 432
W²/2 + 6W = 432
Multiplying both sides of the equation by 2, it becomes
W² + 12W = 864
W² + 12W - 864 = 0
W² + 36W - 24W - 864 = 0
W(W + 36) - 24(W + 36) = 0
W - 24 = 0 or W + 36 = 0
W = 24 or W = - 36
Since W cannot be negative, then
W = 24
Answer:
rise= -16
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
Identity property of multipication
Step-by-step explanation: