How Do Solve 3/4=3/8x-3/2 And Show All Your Work

Mathematics

2 answers:

ipn [44]2 years ago

5 0

The answer is: x = 6

Step 1: Simplify 3/8x to 3x/8. 3/4 = 3x/8 - 3/2

Step 2: Add 3/2 to both sides. 3/4 + 3/2 = 3x/8

Step 3: Simple 3/4 + 3/2 to 9/4. 9/4 = 3x/8

Step 4: Multiply both sides by 8. 9/4 x 8 = 3x

Step 5: Simplify 9/4 x 8 to 72/4. 72/4 = 3x

Step 6: Simplify 72/4 to 18. 18 = 3x

Step 7: Divide both sides by 3. 18/3 = x

Step 7: Simplify 18/3 to get your answer: 6

Let me know if this helps! Have a great rest of your night Jordan!

lubasha [3.4K]2 years ago

3 0

It's too hard for me to show all the work, but you can find a common denominator in 8.

Change 3/4 to 6/8 and -3/2 to -12/8.

Now that all the fractions have the same denominator, you can multiply the whole problem by 8 and cancel out all denominators.

You are left with 6=3x-12

Add 12 to 6 and cancel out on the right side.

18=3x

Divide by 18 by 3

x=6

You might be interested in

- vnuәуре отти аропс

Daniel [21]

equation in slope-intercept form is:

$y=9x+7$

Step-by-step explanation:

The general form of slope-intercept form is:

$y=mx+b$

where m is the slope and b is the y-intercept

In the question we are given slope m=9 and a point(0,7)

We will find b i.e y-intercept

$y=mx+b\\7=9(0)+b\\7=0+b\\b=7$

So, value of b=7 and value of slope m=9

So, equation in slope-intercept form is:

$y=9x+7$

Keywords: slope-intercept form

Learn more about slope-intercept form at:

#learnwithBrainly

8 0

2 years ago

Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, otherwise if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow: