Answer:
2 cows and 5 chickens.
Step-by-step explanation:
NOTE: This will be solved using simultaneous equations.
Let x = cows and y = chickens
1. form two equations
4x + 2y = 18 ... (1)
x + y = 7 .... (2)
2. make y (or x) the subject of one equation
x + y = 7
y = 7 - x ... (3)
3. Substitute (3) into (1)
4x + 2( 7 - x) = 18
4. solve for x
4x + 14 - 2x = 18
2x = 4
x = 2
5. Now substitute x value into equation (2)
x + y = 7
2 + y = 7
y = 5
∴ cows (x) = 2
chickens (y) = 5
The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12.
Answer:
B, D
Step-by-step explanation:
-3(0.15 - 0.2 +0.25p) = -3(-0.05 +0.25p) = 0.15-0.75p
A doesn't work because -3(0.15 - 0.2 +0.25p) = -0.45+0.6-0.75
C doesn't work because 3(0.15+0.2+0.25p) = 0.45+0.6+0.75 which doesn't equal -0.45+0.6-0.75.
E doesn't work because 0.15-0.2 = -0.05 not 0.05.
Answer:
B, 48 inches
Step-by-step explanation:
First calculate the area of the parallelogram: 4 x 6
4 x 6 = 24
Then calculate the area of the triangle: 4 x 6
4 x 6 = 24
Then you add the two areas: (4 x 6) x 2 or 24 x 2
24 x 2 = 48
Therefore, your answer is B, 48 inches
