Answer :
-3x +6 -4
= -3x +2
Answer:
A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3
Step-by-step explanation:
Solution A= 4 cups
Solution B= 2 cups
Total cups of the mixture=4+2=6
A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3.
Solution A= 4 cups
Mixture=6 cups
Solution A : Mixture =4 : 6
=2:3
Option A is true
B. The ratio of the number of cups of solution A to the total number of cups of the mixture is 3:2.
Solution A= 4 cups
Mixture=6 cups
Solution A : Mixture =4 : 6
=2:3
Option B not true
C. There are 3 cups of solution A for every 6 cups of mixture.
Option C states that:
Solution A=3 cups
Mixture=6 cups
Solution A : Mixture=3:6=1:2
This is not true
D. For each cup of solution A, there are 2 cups of solution B.
Option D states:
Solution A= 1 cups
Solution B= 2 cups
This is not true
It is rather
Solution A= 2 cups
Solution B= 1 cups
Therefore, option A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3 is the correct statement
Answer:
They are different because of the order in the permutation matters. In combination, the order doesn't matter. In other words in a permutation 123 and 132 are different but in a combination are the same group (they have the same digits 1,2, and 3).
Step-by-step explanation:
The formula of the permutation is 
, when you are performing a permutation you pick r objects from a total of n, for the first pick you can choose from n, but for the second you have n-1, and this continues to your pick number r in which you will choose from n-r+1, and the total of permutation is the multiplicación of this number of choices for each pick, like this:
If 
and 
The factor equals above and under cancel each other.
In combination, the order of the element isn't important, so from the total of permutation you have to eliminate the ones with the same objects with different order and counting just once each group, when choosing r objects the total of permutation for a single group of r objects is: 
. If you divide the total of permutations of n taking r by r! you get the combinations (where the order is not important). The formula of the combination is 
.
Answer:
25
Step-by-step explanation:
pythagorean theorem
a^2+b^2=c^2
7^2+24^2=c^2
square root of 49+576 =c^2
square root of 625 =c^2
25=c
Answer:
0.85 pounds
Step-by-step explanation:
1080 foot cable = 307 pounds
36 inches/2.9999988ft = (2.9999988 x 307) / 1080 = 920.9996316/1080 = 0.85277743666 pounds ≈ 0.85 pounds
1 inch = 0.0833333 ft
36 inch = 36 x 0.0833333 = 2.9999988 ft
