Answer:
C
Step-by-step explanation:
ratio of pigs to chickens = 4/28, which simplifies to 1/12
ratio of goats to chickens = 12/28, which simplifies to 3/7
ratio of cows to goats = 8/12, which simplifies to 2/3
ratio of pigs to cows = 4/8, which simplifies to 1/2
since 2/3 is the largest, the answer is C
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
5x^2 - 24x + 8 is your answer to this equation
Answer:
Step-by-step explanation:
Plot the points(0 ,-4) , (5 , -5) and (-5 , -3 ) in the graph and join the points.
Answer:
120 baseball cards
Step-by-step explanation:
15 × 2 = 30
30 + 10 = 40
40 ÷ 1/3 = 40 × 3/1 = 120
Therefore there were 120 cards in the back
<em>I just did the inverse of each process starting from the last step and ending at the first</em>
