The answer is x=3.6 or 3 3/5.
First we convert the decimal answer to a fraction; 0.9 is read as "nine tenths," so the corresponding fraction is 9/10:
1 5/6 - (x - 7/12) + 2 1/12 = 9/10
Now we find a common denominator. The first thing that 6, 12 and 10 will all divide into is 60:
1 50/60 - (x - 35/60) + 2 5/60 = 54/60
Distributing the negative, we have:
1 50/60 - x + 35/60 + 2 5/60 = 54/60
Combining like terms, we have:
-x + 4 30/60 = 54/60
Subtracting 4 30/60 from each side, we have:
-x + 4 30/60 - 4 30/60 = 54/60 - 4 30/60
-x = -3 36/60
Divide both sides by -1:
-x/-1 = (-3 36/60)/-1
x = 3 36/60 = 3 3/5 = 3.6
Answer:
9t
Step-by-step explanation:
9*t
Answer:
Given:
, y =6
To prove: x =7
On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.
or
42 = 8x -14 ......[1]
Addition Property of equality states that you add the same number to both sides of an equation.
Add 14 to both sides in equation [1];
42+14 =8x -14+14
Simplify:
56 = 8x
or
8x =56 ......[2]
Division Property of equality states that you divide the same number to both sides of an equation.
Divide by 8 to both sides of an equation [2];

Simplify:
x =7 Hence proved!
A two Column proof:
Statement Reason
1. 7y = 8x -14 Given
y= 6
2. 7(6) = 8x -14 Substitution property
3. 42+14 = 8x Addition property of equality
4. 56 =8x Simplify
5. x =7 Division Property of equality
Answer:
Step-by-step explanation: