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djyliett [7]
3 years ago
12

What is the solution to the equation 2/3x+x = -1/3x+14?

Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer: x = -7/2 = -3.500

x = 2

Step-by-step explanation:

You might be interested in
What is the sale tax for a purchase of $2,500 and what is the cost of an item with a sales tax of $108?
Andrews [41]

Answer:

<em>4.32%</em>

Step-by-step explanation:

Step 1:

To solve this, we must know how to find sales tax first. Let's use this equation:

t = p × r

Let t stand for the total amount of sales tax

Let c stand for the purchase

Let r stand for the sales tax rate.

Step 2:

Now, let us plug in what is given. We know that the purchase made cost $2,500:

t = $2,500 x r

Annddd, we also know that the sales tax is $108:

$108 = $2,500 x r

Therefore, our equation is:

$108 = $2,500 x r

Step 3:

We can simplify this to:

$108 = $2,500r

Step 4:

All we need to do is divide each side by 2500 because the goal is get r all by itself

\frac{108}{2500} =\frac{2500r}{2500}

Step 5:

This gives us:

r = 0.0432

Step 6:

We're not done! Since we are dealing with a percentage, we would multiply .0432 by 100% and that gives us our final answer of


4.32% is our sales tax


5 0
3 years ago
tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how
adelina 88 [10]

Answer:

23.3

(or 4\sqrt{34} (let me know if you wanted this one and is you want it explained) lol)

Step-by-step explanation:

To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

a^{2} +b^{2} =c^{2}

Insert values:

12^{2} +20^{2} =c^{2}

Solve for c:

Evaluate exponents

144+400=c^2

Simplify addition

544=c^2

Find the square root of both

\sqrt{544} =\sqrt{c^2}\\\\\sqrt{544} =c\\\\23.324=c\\\\c=23.3

The fence needs to be approximately 23.3 m.

5 0
3 years ago
Read 2 more answers
Write the equation of the line with x-intercept -2 and y-intercept -1 in slope-intercept form
eduard

The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.

Now that we have two points, we can solve for slope m

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Given two points} \\ (-2,0)\rightarrow(x_1,y_1) \\ (0,-1)\rightarrow(x_2,y_2) \\  \\ \text{Substitute} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-0}{0-(-2)} \\ m=-\frac{1}{2} \end{gathered}

Now that we have both m and b. Substitute these values to the slope intercept form

\begin{gathered} \text{Slope intercept form is} \\ y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \\  \\ \text{Substitute the values from before and we get} \\ y=-\frac{1}{2}x-1 \end{gathered}

5 0
1 year ago
P pennies added to 22 pennies
taurus [48]
23 Pennie’s is the answer I believe
7 0
2 years ago
Solve 7x/3&lt;2<br> {X I X&lt;6/7}<br> {X I X&gt;6/7}<br> {X I X&lt;-14/3}<br> {X I X&gt;-14/3}
Vladimir79 [104]

Answer:

x<6/7

Step-by-step explanation:

7 0
3 years ago
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