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mr_godi [17]
3 years ago
13

Solve for x. -1/2 (x+5)=2x -3/2

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Start from

-\dfrac{1}{2}(x+5)=2x -\dfrac{3}{2}

It may be useful to multiply the whole expression by 2, in order to get rid of denominators:

-(x+5)=4x -3

Distribute the negative sign in the left hand side:

-x-5=4x -3

Move all terms involving x to the left, and all constants to the right:

-x-4x=-3+5

Sum like terms:

-5x=2

DIvide both sides -5:

x = -\dfrac{2}{5}

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What is the volume (in cubic units) of a sphere with a radius of 18 units? Assume that π = 3.14 and round your answer to the nea
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Answer:

The volume of sphere is 24416.64\ cm^3.

Step-by-step explanation:

We have,

Radius of a sphere is 18 units.

It is required to find the volume of sphere.

The formula of the volume of sphere in terms of radius is given by :

V=\dfrac{4}{3}\pi r^3

Plugging all values in above formula

V=\dfrac{4}{3}\times 3.14\times (18)^3\\\\V=24416.64\ cm^3

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7 0
3 years ago
the length of a new rectangle playing field is 6 yards longer than quadruple the width. if the perimeter of the rectangle plaing
Vika [28.1K]

The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The length of a new rectangle playing field is 6 yards longer than quadruple the width.

Let's suppose the length is l and width is w of a rectangle:

From the problem:

l = 6 + 4w

Perimeter P = 2(l + w)

532 = 2(l + w)

Plug l = 6+4w in the above equation:

532 = 2(6 + 4w + w)

266 = 6 + 5w

260 = 5w

w = 52 yards

l = 6 +4(52) = 214 yards

Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

Learn more about the area of rectangle here:

brainly.com/question/15019502

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2 years ago
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