Lines A and B are parallel to each other. Lines B and E are perpendicular to each other.
Answer:
See explanation
Step-by-step explanation:
A. P(top)=top outcomes/all kinds of outcomes=4/30=2/15=13.33333333333...%
P(bottom)=bottom outcomes/ all kinds of outcomes=1/30=3.33333333....%
P(side)=25/30=5/6=83.33333333333...%
B. No. If were equally likely, the probabilities for A would have been roughly the same. It seems like the side event is more probable.
Answer:
Option (3) is correct.
Step-by-step explanation:
We need to find the expression that is equivalent to
.
The property is : 
Here, a = 1/2
So,

We know that, 

So,
is equivalent to 
Hence, the correct option is (3).
Divide both sides by -3 and the answer s=-2a + 30
Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then
20x+17.5y+30z=300.
Now
- in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
- in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
- in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
- in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.
Then 4x+4.725y+7.5z=66.
You get a system

From the first equation
Substitute it into the second equation:

Simplify it:

y must be divided by 20, then
- y=0, x=9, z=10-6=4;
- y=20, x=16, z is not a whole number;
- y=40, x=23, z is not a whole number;
- y=60, x=30, z=10-20-35<0;
- thus, all other possible z will be <0.
Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.