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:
The numbers are 19 and 5
Step-by-step explanation:
Given
Let the numbers be
So:
--- First statement
--- second statement
Required
Find x and y
Substitute in
Rewrite as:
Expand
Factorize
Solve for y
or
or
or
Since the numbers are positive, we take only:
Substitute in
<em>The numbers are 19 and 5</em>
Answer:
Step-by-step explanation:
Since it represents the sum of interior angles, the angle is essentially: , and there are 5 angles since a pentagon has 5 interior angles. To find what one interior angle is, we simply divide the polynomial by 5, to do this we can just divide each coefficient by 5 (distributing the division): this simplifies to: . This represents what one of the interior angles is. Since we want an expression measuring two of the angles, we simply multiply this polynomial by 2, to do this we just multiply each coefficient by 2 (distributing the 2): which is the solution
Answer:
x=-85
Step-by-step explanation:
x-18=-103
x=-103+18
x=-85
Answer:
18
Step-by-step explanation: