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3 years ago

Use the order of operations to simplify the expression: 23 + 5 × 10 ÷ 2 – 33 + (11 – 8)

Mathematics

2 answers:

anastassius [24]3 years ago

6 0

PEMDAS:

Parentheses first.

23 + 5 x 10 ÷ 2 - 33 + 3

Multiplication/Division from left to right.

23 + 50 ÷ 2 - 33 + 3

Continue with division.

23 + 25 - 33 + 3

Addition/Subtraction from left to right.

48 - 33 + 3

Continue with subtraction.

15 + 3

Continue with addition.

18.

<h3>The final answer is 18.</h3>

Papessa [141]3 years ago

4 0

Answer: 18

Step-by-step explanation:

23 + 5 x 10 / 2 - 33 + (11-8)

23 + 5 x 10 / 2 - 33 + 3

23 + 50 / 2 - 33 + 3

23 + 25 - 33 + 3

48 - 33 + 3

15 + 3

= 18

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A line with points (-4.0) and (-3.1)<br> has a slope of?

pychu [463]

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Slope = 1

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3 years ago

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svetlana [45]

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3 years ago

The total cost of a pair of shoes and a hoodie is $150 the hoodie cost $100 more than the pair of shoes how much does each item

bekas [8.4K]

X + y = 150

x = y + 100

2y + 100 = 150

2y = 50

y = 25

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3 0

3 years ago

Read 2 more answers

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

3 years ago

Find the area of a triangle and semi circle where the diameter is 18 and the height is 14 using 3.14

Readme [11.4K]

Answer:

triangle A= 1/2bh

1/2(18)(14)= 126

semi circle 3.14(9)^2 divided by 2 = 127.17

Triangle Area plus semi circle Area = 126+127.17= 253.17

4 0

3 years ago