Give two examples of each type of number: real, natural, integers, rational and irrational.Explain step-by-step how to simplify -5(2x – 3y + 6z – 10)

Answers

Answer 1

9514 1404 393

Answer:

real, natural, integers, rational: 2, 3irrational: √2, √3use the distributive property

Step-by-step explanation:

A) Any positive integer is all of real, natural, integer, and rational. A couple of examples of positive integers are 2, and 3.

Any non-complex number is real: -98.6, +29.7π.

Natural numbers are positive integers: 89, 10103.

Integers are any positive or negative number that has no fractional part. Zero is also an integer. A couple are -3, 0.

A rational number is one that can be expressed as the ratio of two integers. Any finite decimal number and any repeating decimal number are rational numbers. A couple of these are 22/7 and -0.0037285.

An irrational number is a number that cannot be expressed as the ratio of two integers. A cube root of a number that is not a perfect cube will be irrational, for example, The same is true of other roots. √2, ∛-5 are irrational. Pi (π) is a famous irrational number, along with 'e', the base of natural logarithms.

__

B) The terms inside parentheses are unlike, so cannot be combined. The only way this expression can be simplified is by removing the parentheses using the distributive property.

  -5(2x -3y +6z -10) = (-5)(2x) +(-5)(-3y) +(-5)(6z) +(-5)(-10)

  = -10x +15y -30z +50


Related Questions

A flag is 152 centimeters long.

How long would the flag measure in meters?

Enter your answer in the box.

Answers

Divide centimeters by 100. Answer is 1.52 meters.

The length of the flag measure in meters is,

⇒ 1.52 meters

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

A flag is 152 centimeters long.

Now,

We know that;

1 centimeters = 1/100 meters

Hence, We get;

The length of the flag measure in meters is,

⇒ 152 centimeters

⇒ 152/100 meters

⇒ 1.52 meters

Thus, The length of the flag measure in meters is,

⇒ 1.52 meters

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ7

Describe how matter exists in three common states - solids, liquids and gases. Describe each by a
set of distinguishing properties.

Answers

Matter is anything that takes up space and has mass. Liquid can evaporate but it doesn’t disappear. It’s particals are still there it has just turned into a gas, a solid is pretty self explanatory. It visibly takes up space and has mass

please help 8th grade math giving brainlist

Answers

Answer:

Hope this helps! Try using the desmos graphing calculator. It is good for those problems.

Step-by-step explanation:

Factoring
16x^5+20x^4-12x^3+24x^2

Answers

Hope this helps This is easy

What is the equation that can be used to find a percent of a number?

Answers

Answer:

Percent · Base = Amount.

Step-by-step explanation:

Use n for the unknown (percent).

Divide to undo the multiplication of n times 72.

Move the decimal point two places to the right to write the decimal as a percent.

Hope this helps!(:

Answer:

part = percent • whole

Step-by-step explanation:

$3,900 Is deposited into a bank paying 13.5% simple interest per year. How much interest will have been paid after 11 years? ranswer​

Answers

Answer:

$5791.5

Step-by-step explanation:

13.5% = $526.5 each year

Help me solve this problem please

Answers

Answer:

3 is not a Zero of the Function

Answer:

C

Step-by-step explanation:

Um monumento na cidade de São Paulo, foi construído seguindo a forma de um tronco de pirâmide de bases quadradas. Seu volume é de 21000 m³ e sua altura é de 30 m. Sabendo que sua base maior tem aresta medindo 40 m, calcule a medida da aresta da sua base menor.

Answers

Responda:

15cm

Explicação passo a passo:

Volume de uma pirâmide = Área da Base × Altura / 3

Dado

Volume = 2100m³

Altura da pirâmide = 30m

Vamos obter a área base primeiro, substituindo o valor dado na fórmula.

2100 = B (30) / 3

2100 = 30B / 3

2100 = 10B

10B = 2100

Divida os dois lados por 10

10B / 10 = 2100/10

B = 210cm²

Como a base é um quadrado

área da base quadrada = 210cm²

L² = 210

L = √210

L = 14,49cm

C ≈ 15cm

Portanto, a medida da borda de sua menor base é de aproximadamente 15 cm

A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated the sodium content (in milligrams) for each order based on Chipotle's published nutrition information. The distribution of sodium content is approximately Normal with mean 2000 mg and standard deviation 500 mg. About what percent of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium?

Answers

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

21.186% of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium.

It is known that 3000 meals ordered from Chipotle restaurants using the online site Grubhub.

And the distribution of sodium content is approximately Normal with mean 2000mg and standard deviation 500 mg.

We know,

[tex]z = \frac{(x- \mu)}{\(\sigma\)}[/tex],

And daily allowance of 2400 mg of sodium

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

[tex]z = \frac{2400 - 2000}{500}[/tex]

z = 0.8

Probability value from Z-Table:

[tex]P(x<2400) = 0.78814\\P(x>2400) = 1 - P(x<2400) \\= 0.21186[/tex]

Converting to percentage:

[tex]= 0.21186 (100)\\= 21.186%[/tex]

Therefore, the percent of the meals  ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%.

Learn more:https://brainly.com/question/14601433

Fill in the missing statement and reason of the proof below.

Given: \overline{AC} \perp \overline{BD}
AC

BD
and \angle ABD \cong \angle CBD.∠ABD≅∠CBD.

Prove: \triangle ABC△ABC is an isosceles triangle.

Answers

Answer:

b

Step-by-step explanation:

it’s b on edge

Please help I don’t understand this problem!

Answers

the second one √72= 8.48 and the square root of √83=9.11 pi^2 = 9.86

when you put this in order by the decimal you get

8.48, 8.7, 9.11, 9.25, 9.86 which is really √72, 8.7, √83, 9.25, pi^2

Solve for y.
2y2- 15y + 13 = 0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If
there are multiple solutions, separate them with commas.
Submit

Answers

Step-by-step explanation:

use sum and product method

Which statement describes the solution to this system of equations?

2x−4y=8
8x−16y=32
Select the statement that correctly describes the solution to this system of linear equations.
A
There is no solution.

B
There are infinitely many solutions.

C
There is exactly one solution at (8, –4).

D
There is exactly one solution at (2, –16).

Answers

B there is inf. many solutions:

2x-4y=8 is y = 1/2x - 2
8x-16y=32 is y = 1/2x - 2

A square and an equilateral triangle have the same perimeter. Each side of the triangle is 3 inches longer than each side of the square. What is the perimeter of the square?
ASAP I ONLY HAVE 15 MINUTES

Answers

Answer:

36 inches

Step-by-step explanation:

Q = length of the sqaure

T = length of the triangle

Equation 1:  4Q = 3T  

Equation 2:    T = 3+Q;

Then, subsitute T=3+Q into equation 1:

4Q =  3(3+Q)

4Q = 9 + 3Q

Q = 9

-----

Each side of the square is 9 inches, so the perimeter will be 9X4 = 36inches

Simplify (27x^3-64/3x-4)

Answers

Answer:

9x² + 12x + 16

Step-by-step explanation:

(27x³ - 64) / (3x - 4)

= (3x - 4)(9x² + 12x + 16) / (3x - 4)

= 9x² + 12x + 16

9x^2 + 12x + 16

Have a nice day :)

Please help..... TvT

Answers

Answer:

1/3 -- 33.3%

37/100 -- 0.37

1/4 -- 25%

19/50 -- 30%

3/20 -- 15%

Step-by-step explanation:

Sameera predicted that she would sell 38 blankets, but she actually sold 28 blankets. Which expression would find the percent error? Use the table below to help answer the question.
Percent Error

Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Blankets
38
28
10
10


StartFraction 10 over 38 EndFraction (100)
StartFraction 10 over 28 EndFraction
StartFraction 10 over 28 EndFraction (100)
StartFraction 10 over 38 EndFraction

Answers

Answer:

i think it would be percent error  

she was off by 35.7143%

a

Step-by-step explanation:

hope this helps if im correct please can i have brainly

please help me fast !!!!!

Answers

Answer:

2nd option

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

121.8° is an exterior angle of the lower triangle , then

∠ 2 + 17.3° = 121.8° ( subtract 17.3° from both sides )

∠ 2 = 104.5°

------------------------------------

∠ 2 is an exterior angle of the upper triangle , then

∠ 1 + 37.1° = 104.5° ( subtract 37.1° from both sides )

∠ 1 = 67.4°


[tex]24 + 42 - 5[/tex]
whats the answer.​

Answers

Answer:

61

Step-by-step explanation:

dumb questions

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61 that is the answer

helpp pleasee ................................

Answers

Answer: Choice C) [tex]3.9098 \times 10^8[/tex]

=========================================

Work Shown:

[tex]4.8388 \times 10^8 - 9.29 \times 10^7\\\\4.8388 \times 10^8 - \left(0.929\times10^{1}\right) \times 10^7\\\\4.8388 \times 10^8 - 0.929\times10^{1+7}\\\\4.8388 \times 10^8 - 0.929\times10^8\\\\\left(4.8388-0.929\right) \times 10^8\\\\3.9098 \times 10^8\\\\[/tex]

-----------------

Side notes:

[tex]4.8388 \times 10^8 = 483,880,000[/tex] = almost close to 484 million[tex]9.29 \times 10^7 = 92,900,000[/tex] = close to 93 million[tex]3.9098 \times 10^8 = 390,980,000[/tex] = just a bit under 391 million

Find the value of y and find m∠C and m∠D in the triangle given below.

y =

m∠C =

m∠D

Answers

Answer:

Step-by-step explanation:

1
1
15. Ratan bought 2 - m of iron wire and 3.
4
3
of copper wire.
a) What is the total length of wires he
bought?
b) How much more copper wire than
iron wire did he buy?

Answers

can u send me the question once more correctly so that I can help u

My username is Ayaan707.

^_^

Answer:

Total length of wire bought = 2 1/4 + 3 1/3

=9/4 + 10/3

=9*3/4*3 + 10*4/3*4 (LCM)

= 27/12 + 40/12

=67/12= 5 7/12metre is the answer

Ayaan707 avatar

difference btw copper and iron wire = 40/12 - 27/12

=13/12= 1 1/12 metre of copper wire

Step-by-step explanation:

HOPE IT HELPS , JENNY

What is the value of X in the equation 5X +3 is equal to 4X

Answers

Answer:

Step by step equation:

5x + 3 = 4x

5x = 4x - 3

5x - 4x = -3

x = -3

Hope it helped,

Happy homework/ study/ exam!

Answer:

x= -3

Step-by-step explanation:

When solving these equations you must leave only one variable.

1. 5x+3=4x subtract variables

2. 3= -1x make x positive

3. x= -3

find the missing side length ( find ?)

Answers

Answer: 35

Step-by-step explanation:

Rachel is building a fence around her yard. She wants to create a square area that will have an area of 150 m. If the fencing has been cut into 1m lengths, how much fencing will Rachel need?

Answers

Answer:

Rachel will need 49 meters of fencing.

Step-by-step explanation:

From Geometry we know that area of the square ([tex]A[/tex]), measured in square meters, is represented by the following formula:

[tex]A = l^{2}[/tex] (Eq. 1)

Where [tex]l[/tex] is the side length of the square, measured in meters.

The length of the square is now cleared:

[tex]l = \sqrt{A}[/tex]

If we know that [tex]A = 150\,m^{2}[/tex], then the side length is:

[tex]l =\sqrt{150\,m^{2}}[/tex]

[tex]l \approx 12.247\,m[/tex]

The total amount of fencing is equal to the perimeter of the square ([tex]p[/tex]), measured in meters, that is:

[tex]p = 4\cdot l[/tex] (Eq. 2)

If we know that [tex]l = 12.247\,m[/tex], then the perimeter of the square is:

[tex]p = 4\cdot (12.247\,m)[/tex]

[tex]p = 48.988\,m[/tex]

As fencing is cut into 1-m lengths, we need to round this number up to the nearest integer. That is:

[tex]p = 49\,m[/tex]

Rachel will need 49 meters of fencing.

Which expression is equivalent to 5(4x + 3)

Answers

Hey there!


5(4x + 3)


DISTRIBUTE 5 WITHIN the PARENTHESES

= 5(4x) + 5(3)


WEIRD WAY TO SIMPLIFYING MULTIPLICATION

= 5x + 5x + 5x + 5x + 5 + 5 + 5

= 10x + 10x + 10 + 5

= 20x + 15


Therefore, your answer is: 20x + 15


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Please help me ASAP!

Answers

Answer:

10

Step-by-step explanation:

2x+46+3x-6 = 90

5x + 40 = 90

5x = 50

x =10

The answer is 10 I think I’m right

What is the formula for area?

A. area = width + length
B. area = length x width
C. area = width ÷ length
D. area = length x height

I need help, i will give points.

Answers

Assuming that the area is the area of a rectangle or square…
Then it is B
Area = length x width

Daniel wants to buy Nike sneakers that cost $90.00 . he saved 25% of the money needed to purchase it . How much money does Daniel have ? ​

Answers

90-22.5=67.5

He has $67.5

20 points
Select the correct answer.
Solve the following equation by completing the square.



A.

B.

C.

D.

Answers

Answer:

x = 2 + sqrt(2) or x = 2 - sqrt(2) thus B. is your answer

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 - 16 x + 8 = 0

Hint: | Write the quadratic equation in standard form.

Divide both sides by 4:

x^2 - 4 x + 2 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 2 from both sides:

x^2 - 4 x = -2

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 4 to both sides:

x^2 - 4 x + 4 = 2

Hint: | Factor the left-hand side.

Write the left-hand side as a square:

(x - 2)^2 = 2

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x - 2 = sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the first equation: Solve for x.

Add 2 to both sides:

x = 2 + sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the second equation: Solve for x.

Add 2 to both sides:

Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)

Answer:

B

Step-by-step explanation:

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