Answer:
The answer would be A 1/15.
Step-by-step explanation:
The answer is 1/15 because you have 10 marbles in all and 3 of those 10 marbles are white. You get 3/10 and than since it does not say that it was replaced you take one white marble away which would give you 2/9. so you take 3/10 * 2/9 = 1/15 (when everything is simplified)
Hope this helps to explain it! :)
Answer is the ratio 1 : 4
Work Shown
x = number of black pants
y = number of blue pants
z = number of brown pants
x = (5/6)y
x = (5/9)z
z = (9/5)x
x+y+z = total number of pants
x+y+z = (5/6)y + y + (9/5)x
x+y+z = (5/6)y+y+(9/5)*(5/6)y
x+y+z = (5/6)y+y+(3/2)y
x+y+z = (5/6)y+(6/6)y+(9/6)y
x+y+z = ( (5+6+9)/6 )y
x+y+z = (20/6)y
x+y+z = (10/3)y
numberOfBlackPants : Total
(5/6)y : (10/3)y
6*(5/6)y : 6*(10/3)y
5y : 20y
5 : 20
1 : 4
The ratio of the number of black pants to the total number is 1 : 4
It means the total is 4 times that of the number of black pants.
Answer:
x = 5
Step-by-step explanation:
Because the red-marked lines are parallel, we know that the ratios are the same
5x : 45 = 20 : 36
5x/45 = 20/36
5x * 36 = 20 * 45
5x * 4 = 20 * 5
5x * 1 = 5 * 5
x = 5
1) The substitution method. This method is best utilized when one of the variables in one of the equations has a coefficient of 1 or -1, otherwise you will introduce fractions. Substitution can also be used for nonlinear systems of equations.
(2) Linear combinations also called the elimination method, multiplication and addition method, etc... My personal favorite as it can be done efficiently. It generalizes well to larger systems and is the underpinning of various other solution methods.
As the name implies it requires the equations to be linear.
You need to know both and be comfortable switching between them.
Can we get one for the elimination method too?
Also, can you solve the same problem using either of the two techniques?