Solve for x. 1/2=x/16 A x= 8 B x=2 C x=1 D x=32

2 answers:

6 0

8 is the write answer
because we have to find x
first we have to see our denominater
how do we get 16
we get 16 by multiplying 8 with 2
so we have to find numerater
we will find it with the same way
and we will multiply 1 with 8

ASHA 777 [7]3 years ago

3 0

You can cross multiply

$\frac{1}{2} = \frac{x}{16}

$

Multiply numerator of the first fraction by the denominator of the second fraction (1 * 16) and the denominator of the first fraction by the numerator of the first fraction (2 * x). This gives us

16 = 2x

Divide by 2

8 = x

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The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

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