There are multiple ways in which Anita can divide the sheet of paper for her calendar. First she can have it halved first then, divided by 6 or she can have it divided by 4 and divided each quarter by 3. Either way, each month would take up 1/12 of the total area of the paper.
Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
Answer:
900 cents, 9 dollars
Step-by-step explanation:
The expression 8(-3) represents the recession of the coastline after 8 years if the coastline recedes 3 centimeters each year. 8(-3)=-24. So, the coastline's new position is 24 centimeters farther inland than it was 8 years ago.
answer= 24
