Solve the equation x+14.7=36.5%0D%0A𝑥%0D%0A+%0D%0A14.7%0D%0A=%0D%0A36.5%0D%0A.(1 point)%0D%0AResponses%0D%0A%0D%0Ax=21.8%0D%0A𝑥%0D%0A=%0D%0A21.8%0D%0Ax equals 21.8%0D%0A%0D%0Ax=51.2%0D%0A%0D%0A=%0D%0A51.2%0D%0Ax equals 51.2%0D%0A%0D%0Ax=21.9%0D%0A%0D%0A=%0D%0A21.9%0D%0Ax equals 21.9%0D%0A%0D%0Ax=22.2
To solve the equation x + 14.7 = 36.5, we need to isolate the variable x.
First, subtract 14.7 from both sides of the equation:
x + 14.7 - 14.7 = 36.5 - 14.7
This simplifies to:
x = 21.8
So, x equals 21.8.
Solve the equation x+14.7=36.5%0D%0A𝑥%0D%0A+%0D%0A14.7%0D%0A=%0D%0A36.5%0D%0A.(1 point)%0D%0AResponses%0D%0A%0D%0Ax=21.8%0D%0A𝑥%0D%0A=%0D%0A21.8%0D%0Ax equals 21.8%0D%0A%0D%0Ax=51.2%0D%0A%0D%0A=%0D%0A51.2%0D%0Ax equals 51.2%0D%0A%0D%0Ax=21.9%0D%0A%0D%0A=%0D%0A21.9%0D%0Ax equals 21.9%0D%0A%0D%0Ax=22.2
I apologize for the confusion, but the correct solution is x = 21.8.
solve the equation w 5 2/5=3 1/4
To solve the equation w + 5 2/5 = 3 1/4, we need to isolate the variable w.
First, let's convert the mixed numbers into improper fractions:
5 2/5 = (5 * 5 + 2)/5 = 27/5
3 1/4 = (3 * 4 + 1)/4 = 13/4
Now, the equation becomes:
w + 27/5 = 13/4
To get rid of the fractions, we can multiply both sides of the equation by the least common denominator (LCD), which is 20 in this case:
20(w + 27/5) = 20(13/4)
Multiplying both sides gives us:
20w + 108/5 = 65/4
To simplify the equation, we can multiply through by 5 to eliminate the fraction:
5(20w + 108/5) = 5(65/4)
100w + 108 = 325/4
Next, we can subtract 108 from both sides to isolate the variable:
100w = 325/4 - 108
To combine the fractions on the right side, we need to get the same denominator:
100w = 325/4 - 432/4
100w = -107/4
Finally, we can divide both sides by 100 to solve for w:
w = (-107/4) / 100
To simplify the expression, we divide the numerator by 4:
w = -107 / (4 * 100)
w = -107/400
So, the solution to the equation is w = -107/400.