( x - 7 )/ ( x - 2 ) = 5/4 , Therefore x = -------------
1 answer:
Answer:
x = -18
Explanation:
To solve this problem easily, we can cross multiply. You would multiply the numerator of the first fraction by the denominator of the second, and multiply the numerator of the second fraction by the denominator of the first. In this case, (x-7) would be multiplied by 4 and 5 would be multiplied by (x-2). The answers from these two calculations would each be one side of the equation.
After doing this, you can solve and isolate x.
Work is shown in the attached picture.
You might be interested in
1. When solving similar problems, a tree diagram is a very useful method. Check the picture below for the solution of A:
the first pick can be either of the colors g, r, w or y, with a chance of 9/25, 7/25, 3/25 and 6/25 respectively.
After the first marble is yellow, now the second can be either of g, r, w, or y with chances 9/24, 7/24, 3/24, and 5/24 respectively.
Notice that the total number for the second choice is 25-1=24, since one is gone. In our case, one yellow, (this is why we now have 5/24)
So the P( that 1st is yellow, second is white) = (6/25)*(3/24)=3/100
B. P(both red)= (7/25)*(7/24)=49/600
C. P(1st red)=7/25
P(green, after replacement)=9/25
P(1.red,2.green)=(7/25)*(9/25)=63/625
the first pick can be either of the colors g, r, w or y, with a chance of 9/25, 7/25, 3/25 and 6/25 respectively.
After the first marble is yellow, now the second can be either of g, r, w, or y with chances 9/24, 7/24, 3/24, and 5/24 respectively.
Notice that the total number for the second choice is 25-1=24, since one is gone. In our case, one yellow, (this is why we now have 5/24)
So the P( that 1st is yellow, second is white) = (6/25)*(3/24)=3/100
B. P(both red)= (7/25)*(7/24)=49/600
C. P(1st red)=7/25
P(green, after replacement)=9/25
P(1.red,2.green)=(7/25)*(9/25)=63/625