2/3x+7=5/6 Rewrite the equation below so that it doesn’t have fractions please.

1 answer:

5 0

To eliminate all of the fractions in an equation, we can multiply the equation by the least common denominator of all of the fractions in the equation. To find the LCD, we need to find a number that has at least all of the factors of each of the denominators.

To find the LCD of the fractions in this equation, let's look at our denominators, 3 and 6. We can say 3 = 3 and 6 = 2 * 3. By examining this, we can see that our LCD <em>has to have </em>a 3 and 2, since those numbers are found in at least one of the fractions. Thus, our LCD is 3 * 2 = 6.

Now we know to multiply our entire equation by 6. This is solved as shown:

$6(\dfrac{2}{3}x + 7) = 6(\dfrac{5}{6}) \Rightarrow \boxed{4x + 42 = 5}$

Our answer is 4x + 42 = 5.

You might be interested in

2. Which of the following numbers are prime? a) 53 b) 12 c) 18 d) 28

vovikov84 [41]

Answer:

a) 53 is prime

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Simplify the following equation

morpeh [17]

Answer:

3x - 2

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7 ft b

____ [38]

Given:

Dimensions are 7 ft by 5 ft by 8.5 ft

Contents weigh 0.21 pound

Contents worth $8.80 per pound

Find-: value of container contents.

Sol:

Volume is:

$\begin{gathered} Volume\text{ = }7\times5\times8.5 \\ \\ =297.5 \end{gathered}$

The formula of density is:

$\text{ Density =}\frac{\text{ Mass}}{\text{ Volume}}$

So,

$\begin{gathered} 0.21=\frac{\text{ Weight of contents in container}}{\text{ Volume of container}} \\ \\ 0.21=\frac{\text{ Weight}}{297.5} \\ \\ 0.21\times297.5=\text{ Weight} \\ \\ \text{ Weight of contents in container = }62.475\text{ Pound} \end{gathered}$

Now $8.80 per pound

For 62.475 pounds the value is: