Question $\frac{1.22}{1.22}=.0002(7.66)+.0029(12)+.34 x$

Studdy Solution

STEP 1

1. The equation $\frac{1.22}{1.22} = 0.0002(7.66) + 0.0029(12) + 0.34x$ is asking us to solve for $x$ .
2. The left-hand side simplifies to 1 because any non-zero number divided by itself equals 1.
3. The equation involves basic algebraic operations, including multiplication and addition.

STEP 2

1. Simplify the left-hand side of the equation.
2. Simplify the right-hand side of the equation.
3. Isolate the variable $x$ .
4. Solve for $x$ .

STEP 3

Simplify the left-hand side of the equation:
$\frac{1.22}{1.22} = 1$

STEP 4

Simplify the right-hand side of the equation by performing the multiplications:
Calculate $0.0002 \times 7.66$ :
$0.0002 \times 7.66 = 0.001532$
Calculate $0.0029 \times 12$ :
$0.0029 \times 12 = 0.0348$
Substitute these values back into the equation:
$1 = 0.001532 + 0.0348 + 0.34x$

STEP 5

Add the constants on the right-hand side:
$0.001532 + 0.0348 = 0.036332$
So the equation becomes:
$1 = 0.036332 + 0.34x$

STEP 6

Isolate the variable $x$ by subtracting $0.036332$ from both sides:
$1 - 0.036332 = 0.34x$
Simplify the left-hand side:
$0.963668 = 0.34x$

STEP 7

Divide both sides by $0.34$ to solve for $x$ :
$x = \frac{0.963668}{0.34}$

STEP 8

Calculate the division to find $x$ :
$x \approx 2.8349$
Therefore, the solution is:
$\boxed{2.8349}$

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