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2 years ago

Write an algebraic expression that corresponds to "the opposite of a number "

Mathematics

1 answer:

Katarina [22]2 years ago

7 0

Answer:

-n

Step-by-step explanation:

If n represents "a number", then the opposite of the number is ...

-n

<em>Examples</em>:

The opposite of -3 is -(-3) = 3. The opposite of 10 is -10.

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2 years ago

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3 years ago

I am making two kinds of cookies: chocolate chip and lemon cookies Chocolate Chip Cookies It takes 0.250.25 cup of sugar to make

Zigmanuir [339]

Answer: 22 batches of chocolate chip cookies

Step-by-step explanation:

A batch of cookies can take 0.25 cups of sugar to make.

You instead have 5.50 cups of sugar.

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2 years ago

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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3 years ago

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1 year ago