All categories

3 years ago

What is the value of x in the equation-2/3x+9=4/3x-3

Mathematics

1 answer:

Ronch [10]3 years ago

3 0

Answer:

Step-by-step explanation:

$-\frac{2}{3} x+9=\frac{4}{3} x-3\\\\$

First, multiply both sides by 3.

$-2x+27=4x-9\\$

Next, combine like terms.

$-2x+27=4x-9\\-2x+36=4x\\36=6x$

Solve for x.

$36=6x\\6=x$

You might be interested in

How do you use the order of operations to evaluate expressions with exponents?

IgorLugansk [536]

Using BEDMAS, it would be brackets first, so anything Inside a set of brackets would be solved first, and would follow the same rule. Once the brackets have been solved, next would be the exponents. Since your brackets have been solved you can expand with the exponents. After exponents, would be anything that has to be divided or multiplied. These two operations are interchangeable based on what is more convenient or beneficial to do first. And lastly, addition and subtraction, which once again are interchangeable operations

5 0

3 years ago

Is reading a book that is 1400 pages he will read the same number of pages each day if he reads the book in 7 days how many page

Alex777 [14]

He will read 200 pages a day because 1400/7 = 200

3 0

3 years ago

Read 2 more answers

A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t

solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by

V = $V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x$

First, we differentiate V(x) with respect to x, to get,

$\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450$

Equating the first derivative to zero, we get,

$\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0$

Solving, with the help of quadratic formula, we get,

$x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2}$ ,

Again differentiation V(x), with respect to x, we get,

$\frac{d^2(V(x))}{dx^2} = 24x - 180$

At x =

$\displaystyle\frac{5(3-\sqrt{3})}{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Thus, by double derivative test, the maxima occurs at

x = $\displaystyle\frac{5(3-\sqrt{3})}{2}$ for V(x).

Thus, largest volume the box can have occurs when $x = \displaystyle\frac{5(3-\sqrt{3})}{2}}$ .

Maximum volume =

$V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}$

8 0

3 years ago

Describe and correct the error in the solution. (Be specific and explain as

sweet [91]

The error occurred in step 2. You have to use the distributive property for the parenthesis. It is supposed to be 5p+15.

The correct solution is p>-13.

6 0

3 years ago

You are baking cookies for your class. There are 23 students I your class and you have baked 12 cookies. Write and solve an equa

Aliun [14]

(23 x 2) - 12 = x

We need 2 cookies per student, so multiply the amount of students by 2. which is 23 x 2. Then because you already baked 12 subtract 12 from the original amount you needed to bake. Which is 46 - 12. Oh and if you wanted the answer, it's 34.

3 0

2 years ago