QuestionSolve the equation $2.03 v + 5.62 v - 3.41 = 0.46$ and express the answer as an integer, fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. The equation given is $.03v +5.62v -3.41 =0.46$ . We are asked to solve for $v$
3. The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places

STEP 2

First, we need to combine like terms on the left side of the equation. The like terms are $2.03v$ and $5.62v$ .
$2.03v +5.62v =7.65v$ So, the equation becomes $7.65v -.41 =0.46$

STEP 3

Next, we need to isolate $v$ by moving $-3.41$ to the right side of the equation. We do this by adding $3.41$ to both sides of the equation.
$7.65v =0.46 +3.41$

STEP 4

Now, calculate the right side of the equation.
$7.65v =3.87$

STEP 5

To solve for $v$ , we need to divide both sides of the equation by $7.65$ .
$v = \frac{3.87}{7.65}$

STEP 6

Finally, calculate the value of $v$ .
$v =0.506$ However, we are asked to round our answer to two decimal places, so $v =0.51$ So, the solution to the equation $2.03v +5.62v -3.41 =0.46$ is $v =0.51$ .

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QuestionSolve the equation $2.03 v + 5.62 v - 3.41 = 0.46$ and express the answer as an integer, fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. The equation given is $.03v +5.62v -3.41 =0.46$ . We are asked to solve for $v$
3. The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places

STEP 2

First, we need to combine like terms on the left side of the equation. The like terms are $2.03v$ and $5.62v$ .
$2.03v +5.62v =7.65v$ So, the equation becomes $7.65v -.41 =0.46$

STEP 3

Next, we need to isolate $v$ by moving $-3.41$ to the right side of the equation. We do this by adding $3.41$ to both sides of the equation.
$7.65v =0.46 +3.41$

STEP 4

Now, calculate the right side of the equation.
$7.65v =3.87$

STEP 5

To solve for $v$ , we need to divide both sides of the equation by $7.65$ .
$v = \frac{3.87}{7.65}$

STEP 6

Finally, calculate the value of $v$ .
$v =0.506$ However, we are asked to round our answer to two decimal places, so $v =0.51$ So, the solution to the equation $2.03v +5.62v -3.41 =0.46$ is $v =0.51$ .

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QuestionSolve the equation 2.03v+5.62v−3.41=0.462.03 v + 5.62 v - 3.41 = 0.462.03v+5.62v−3.41=0.46 and express the answer as an integer, fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. The equation given is .03v+5.62v−3.41=0.46.03v +5.62v -3.41 =0.46.03v+5.62v−3.41=0.46 . We are asked to solve for vvv3. The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places

STEP 2

First, we need to combine like terms on the left side of the equation. The like terms are 2.03v2.03v2.03v and 5.62v5.62v5.62v.2.03v+5.62v=7.65v2.03v +5.62v =7.65v2.03v+5.62v=7.65vSo, the equation becomes7.65v−.41=0.467.65v -.41 =0.467.65v−.41=0.46

STEP 3

Next, we need to isolate vvv by moving −3.41-3.41−3.41 to the right side of the equation. We do this by adding 3.413.413.41 to both sides of the equation.7.65v=0.46+3.417.65v =0.46 +3.417.65v=0.46+3.41

STEP 4

Now, calculate the right side of the equation.7.65v=3.877.65v =3.877.65v=3.87

STEP 5

To solve for vvv, we need to divide both sides of the equation by 7.657.657.65.v=3.877.65v = \frac{3.87}{7.65}v=7.653.87​

STEP 6

Finally, calculate the value of vvv.v=0.506v =0.506v=0.506However, we are asked to round our answer to two decimal places, sov=0.51v =0.51v=0.51So, the solution to the equation 2.03v+5.62v−3.41=0.462.03v +5.62v -3.41 =0.462.03v+5.62v−3.41=0.46 is v=0.51v =0.51v=0.51.

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QuestionSolve the equation $2.03 v + 5.62 v - 3.41 = 0.46$ and express the answer as an integer, fraction, or rounded decimal.

Assumptions1. The equation given is $.03v +5.62v -3.41 =0.46$ . We are asked to solve for $v$
3. The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places

First, we need to combine like terms on the left side of the equation. The like terms are $2.03v$ and $5.62v$ .
$2.03v +5.62v =7.65v$ So, the equation becomes $7.65v -.41 =0.46$

Next, we need to isolate $v$ by moving $-3.41$ to the right side of the equation. We do this by adding $3.41$ to both sides of the equation.
$7.65v =0.46 +3.41$

Now, calculate the right side of the equation.
$7.65v =3.87$

To solve for $v$ , we need to divide both sides of the equation by $7.65$ .
$v = \frac{3.87}{7.65}$

Finally, calculate the value of $v$ .
$v =0.506$ However, we are asked to round our answer to two decimal places, so $v =0.51$ So, the solution to the equation $2.03v +5.62v -3.41 =0.46$ is $v =0.51$ .