Answer: There are 36 cows that can eaten 72 acres of grass in 126 days.
Step-by-step explanation:
Let x be the amount of grass in an acre initially.
Let y be the amount of grass grown in an acre per day.
Since we have given that
12 cows can eat 10 acres of grass in 28 days
12×28 = 10x + 10×28 y
336 = 10x + 280 y----------------------------(1)
Similarly,
21 cows can eat 30 acres of grass in 63 days.
21×63 = 30x + 30×63 y
1323 = 30x +1890 y ---------------------------(2)
So, by graphing method, we get the value of x and y
So, we have, 72 acres of grass in 126 days, we need to find the number of cows.
So, it becomes,
c×126 = 72x + 72×126 y
Hence, there are 36 cows that can eaten 72 acres of grass in 126 days.
Answer:
See below
Step-by-step explanation:
Rule: If the variables are on the same side of the equal sign, they vary INVERSELY.
If the variables are on the opposite side of the equal Sign, they very DIRECTLY.
a) T and V
b) p and T
c) N and V
d) N and T
e) p and N
f) V and P
Q1: 479 001 600 ways
Explanation:
You have 12 people, 12 seats, ¹²P₁₂ ways in arranging them, or essentially 12! ways
Q2: 1 036 800 ways
Explanation:
Let's break it up into two cases.
Case 1: BGBGBGBGBGBG
Case 2:GBGBGBGBGBGB
Let's deal with case 1, because case 2 will pop out. There are ⁶P₆ ways in sorting out the boys and ⁶P₆ ways in sorting out the girls, so for case 1, we'd have (⁶P₆)² ways in sorting out boys and girls in case 1.
This is exactly the same in case 2, so it'd be (⁶P₆)² ways in sorting out girls and boys in case 2.
So, (⁶P₆)² + (⁶P₆)² ways = 1 036 800 ways if they alternate
Since each share was purchased when it was still quoted at 20 1/4, then when the stock value increases, it gains (25 1/4 - 20 1/4) = $5.00 for each stock.
Since you're to sell 30 shares of your stock, that means you'll be making a profit of (30 x 5 ) = $150.00.
Thus, the answer is C<span>.</span>
