To solve for the variable
, we have to make it alone. The first thing we do is add
to both sides of the equation:

Now add
to both sides:

Finally, divide both sides by 16 to get the final answer:

Therefore,

Hope this helps!
Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)
weird.
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Answer:
D.x = 6; m∠XOY = 18°
Step-by-step explanation:
Supplementary angles add to 180 and complementary angles add to 90
∠WOZ + ∠WOX = 180
108 + ∠WOX = 180
∠WOX + ∠XOY = 90
∠WOX + 3x = 90
∠WOX = 90 -3x
Replace WOX in the first equation
108 + ∠WOX = 180
108 + 90 -3x = 180
Combine like terms
198 -3x = 180
Subtract 198 from each side
-3x = 180-198
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x = 6
∠XOY = 3x = 3*6 = 18
Answer:
6 1/3
Step-by-step explanation:
3 times what equals 19 can be in the form of an equation as shown below. It shows that the value we are finding for is unknown, therefore it is a variable. A variable is the unknown value in an equation.
Equation: 3x = 19
With the equation in hand, we can now solve the problem easily.
3x = 19
Carry the 3 to the 19(Carry over the like terms across leaving the variable or the unknown)
x = 19÷3
x = 6.33333 or 6 1/3
To check if the answer was correct:
3 × 6 1/3 = 19
You regain the answer <em>19</em>