All categories

1 year ago

Simplify the expression 13. 8+(-11. 5). Use pencil and paper. How are 13. 8 + (-11. 5) and (-13. 8) +11. 5

Mathematics

1 answer:

VashaNatasha [74]1 year ago

7 0

On simplifying the expression 13.8+ (-11.5) , we get 2.3 . And additions

13.8 + (-11.5) and (-13.8) + 11.5 are numbers will same value and opposite sign.

<h3>What are rules for adding a positive and a negative number?</h3>

For adding a negative and a positive number, use the sign of the larger number and subtract.

For example: (–8) + 2 = -6

Given that we have to solve 13.8 + (-11.5) = 13.8-11.5 (we subtract smaller no from larger and will use the sign of lager number that is + here)

13.8+(-11.5) = 13.8-11.5 =2.3

13.8+(-11.5) simply means that 13.8 -11.5 which is subtraction of 11.5 from 13.8

but (-13.8) + 11.5 = -13.8 +11.5 = -( 13.8 -11.5) [taking -1 common from the expression]

Therefore , -13.8 + 11.5 has same value as 13.8- 11.5 but opposite in sign.

Learn, More about addition of numbers from here:'

brainly.com/question/14092461

#SPJ1

You might be interested in

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

3 years ago

The wholesale price for a chair is $124. A certain furniture store marks up the wholesale price by 16%. Find the price of the ch

vazorg [7]

Answer:$143.84Step-by-step explanation:Given the following question:Initial price of the chair was $124....Marked up 16% (which means the price has increased by 16%)Find the new price of the chair...In order to find the answer, we find 16% of a given number in till it equals 124 which was the initial price.16% of 143.84 is 124143.84 is already rounded to the nearest centWhich means the new price of the chair is "$143.84"

8 0

2 years ago

Read 2 more answers

The price of a 40-inch television is $268 plus 8% sales tax rate. What is the amount of the sales tax for the television, in dol

Harlamova29_29 [7]

$268.00 base price
8% is $21.44
Total with tax $289.44

3 0

3 years ago

Find the missing term. ...-45,__,-39...

Anika [276]

The answer is 32 because -45 + 3 = -32 and -39 - 3 = -32

8 0

3 years ago

Which is the first step in solving

sammy [17]

Answer:

X-4=4

Solution :

X=4+4

X=8

4 0

3 years ago