what is the solution of the equation 5/2x = -1/8
a 1/20
b -5/16
c -20
d -1/20
To solve the equation 5/2x = -1/8, we want to isolate x on one side of the equation.
First, we can multiply both sides of the equation by the reciprocal of 5/2, which is 2/5, to eliminate the fraction on the left side of the equation:
(2/5)(5/2x) = (2/5)(-1/8)
1x = -2/40
Simplifying the right side gives us:
x = -2/40
Reducing the fraction gives us:
x = -1/20
Therefore, the solution to the equation 5/2x = -1/8 is d) -1/20.
To find the solution of the equation 5/2x = -1/8, we need to isolate the variable x.
Here's how you can solve it step-by-step:
1. Start by multiplying both sides of the equation by 2/5 to eliminate the fraction on the left side:
(2/5) * (5/2x) = (2/5) * (-1/8)
This simplifies to:
1/x = -2/40
2. Now, we can simplify the right side of the equation:
1/x = -1/20
3. Since the equation states that 1 divided by x is equal to -1/20, we can conclude that x is the reciprocal of -1/20. In other words, the reciprocal of a number is when you exchange the numerator and denominator. Therefore, the solution is the reciprocal of -1/20.
This means that the correct solution is:
a) 1/(-1/20) = -20
So, the solution of the equation 5/2x = -1/8 is c) -20.
To solve the equation (5/2)x = -1/8, we want to isolate x on one side of the equation.
Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of x, which is 2/5.
(2/5) * (5/2)x = (2/5) * (-1/8)
After canceling out the common terms,
x = (2/5) * (-1/8)
Step 2: Simplify the expression on the right-hand side by multiplying the numerators and denominators.
x = -2/40
Step 3: Reduce the fraction to its simplest form by canceling out the common factors.
x = -1/20
So, the solution to the equation 5/2x = -1/8 is x = -1/20, which corresponds to option d.
what is the solution of the equation -x/2.9 =-3
A 8.7
B -8.7
C-87
D87
To solve the equation -x/2.9 = -3, we want to isolate x on one side of the equation.
First, we can start by multiplying both sides of the equation by 2.9 to eliminate the fraction:
2.9 * (-x/2.9) = 2.9 * (-3)
This simplifies to:
-x = -8.7
Next, we want to solve for x by isolating it on one side of the equation. We can do this by multiplying both sides of the equation by -1:
(-1)(-x) = (-1)(-8.7)
This simplifies to:
x = 8.7
Therefore, the solution to the equation -x/2.9 = -3 is x = 8.7, which corresponds to option A.
what is the solution of the equation 8/5x= -10
A -25/4
B -5/8
C -16
D -1/16
To solve the equation 8/5x = -10, we want to isolate x on one side of the equation.
First, we can start by multiplying both sides of the equation by the reciprocal of 8/5, which is 5/8, to eliminate the fraction:
(5/8)(8/5x) = (5/8)(-10)
This simplifies to:
1/x = -50/8
Next, we can flip the reciprocal of -50/8 to solve for x on one side of the equation:
x = -8/50
Now, we can simplify the fraction on the right-hand side by reducing it to its simplest form:
x = -4/25
Therefore, the solution to the equation 8/5x = -10 is x = -4/25, which corresponds to none of the given options.