1/4x+3/8 factored by the GCF

Answers

Answer 1

Given:

[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]

To find:

The factor form of given expression by the GCF.

Solution:

First we need to find the GCF of [tex]\dfrac{1}{4}[/tex] and [tex]\dfrac{3}{8}[/tex].

So, make denominators same.

[tex]\dfrac{1}{4}=\dfrac{1\times 2}{4\times 2}=\dfrac{2}{8}[/tex]

Now,

[tex]GCF\left(\dfrac{2}{8},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]

[tex]GCF\left(\dfrac{1}{4},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]

We have,

[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]

It can be written as

[tex]=\dfrac{2}{8}x+\dfrac{3}{8}[/tex]

Taking out the GCF [tex]\dfrac{1}{8}[/tex], we get

[tex]=\dfrac{1}{8}(2x+3)[/tex]

Therefore, the required factor form is [tex]\dfrac{1}{8}(2x+3)[/tex].


Related Questions

Find the distance between the points (-4, 10) and (-4, -8).


Answers

Answer:

18 units

Step-by-step explanation:

(-4 , 10) and (-4, -8)

Distance = [tex]\sqrt{(x_{2}+x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]

              [tex]= \sqrt{(-4-[-4])^{2}+(-8-10)^{2}}\\\\= \sqrt{(-4+4)^{2}+(-18)^{2}}\\\\=\sqrt{0 + 324}\\\\=\sqrt{324}\\\\= 18[/tex]

Let g be the function given by g(x) = x^4-3^3-x. What are all values of x such that g'(x)=1/2

Answers

Answer:

The answer is "[tex]x= \frac{\sqrt[3]{3} }{2}[/tex]"

Step-by-step explanation:

Given:

[tex]\to g(x) = x^4-3^3-x \\\\\to g'(x) = \frac{1}{2}\\\\x=?[/tex]

Solve:

[tex]\to g(x) = x^4-3^3-x\\\\\to g(x) =x^4 -27-x \\\\\to g(x) =x^4 -x-27[/tex]

differentiate the above equation:

[tex]\to g'(x) = 4x^3- 1[/tex]

Given that:

[tex]\to g'(x)= \frac{1}{2}[/tex]

[tex]\to \frac{1}{2}= 4x^3 -1\\\\\to \frac{1}{2} +1= 4x^3 \\\\\to \frac{1+2}{2}= 4x^3 \\\\\to \frac{3}{2}= 4x^3 \\\\\to x^3 =\frac{3}{2 \times 4} \\\\\to x^3 =\frac{3}{8} \\\\ \to \bold{x= \frac{\sqrt[3]{3} }{2}}[/tex]

I need your help please 4x−2≤18

Answers

Answer:

x ≤ 5

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

4x - 2 ≤ 18

Step 2: Solve for x

Add 2 to both sides:                    4x ≤ 20Divide 4 on both sides:               x ≤ 5

Here we see that any value x smaller than or equal to 5 would work as a solution to the inequality.

what is the best decimal equivlanet to 3 9 100

Answers

Hey there!

“What is the best decimal equivalent to 3 9/100?”

3(100) + 9

3(100) = 300

300 + 9 = 309 ⬅️ solving for your numerator

100 ÷ 1 = 100 ⬅️ solving for your denominator

309 / 100 ➡️ 309 ÷ 100 = 3.09

Thus your answer is: 3.09 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

helpppp, i don’t get thisss :,))

Answers

D 63 Bc each one is multiplied by 3 and 21 time 3 is 63 so d

Find the value of 9u - 6 given that -2u+2=6

Answers

Answer:

The value of 9u - 6 is -24

Step-by-step explanation:

Let us solve the question

-2u + 2 = 6

→ Subtract 2 from both sides to move 2 from the left side to the right side

∵ -2u + 2 - 2 = 6 - 2

∴ -2u = 4

→ Divide both sides by -2 to find the value of u

∵ [tex]\frac{-2u}{-2}[/tex] = [tex]\frac{4}{-2}[/tex]

u = -2

∵ The given expression is 9u - 6

→ Substitute u by -2 to find the value of the given expression

9u - 6 = 9(-2)  - 6

∴ 9u - 6 = -18 - 6

∴ 9u - 6 = -24

The value of 9u - 6 is -24

(100 POINTS PLUS BRAINIEST)

All is need is for you to measure 5 of a person’s left foot(in inches) and then measure the length (in inches) of that same person’s forearm

Please big rewards for you ever does it

Answers

Answer:

Check my explanation

Step-by-step explanation:

Okay. I measured my left foot and it's 11 inches. (5 of that is 55 inches.) My forearm is about 11 inches, too?

What is this even for? I have no clue, but it sounds interesting right off the bat.

Pls help due at midnight

Answers

Answer:

8.77

Step-by-step explanation:

Answer:

I believe the answer is A) $8.77

step1) multiply the cost of peaches oer pound by 18.4

step2) add the cost for the peaches to the cost for the pineapple

step3)divide the cost by 4

help me if you can plss BRAINLYEST

Answers

Answer:

The answer is 81

Step-by-step explanation:

prove me wrong

Answer:

Choice D

Step-by-step explanation:

For this you have to distribute the exponent on the outside to the inside. So we will multiply 4 and [tex]\frac{1}{4}[/tex]. That will equal 1. So now we have [tex](81^1)[/tex] and anything to the power of 1 is itself. So the answer is 81.

During a sale, a dress is sold at discount of 15%. The original price of the dress is $ 60. What is the price of the dress after discount?

Answers

15/100=0.15
60*0.15=9
60-9=$52 after discount

Help !!!! i don’t understand and its duee tomorrow

Answers

Answer:

73. 61 degrees

74. x= 31

75. 37 degrees

76. x=27

78. x=96 z=151 y=68

79. x= 66 y=z y and z =88

80. y =43 z=90 x = 71

81= x=95 y=51 z=39

83. g=49 h=117 j=49 m=55 k = 76

84= b=37 a=143 c=37 d=121 e=158 f=22 h=50 g=108

Step-by-step explanation: As far as I can go sorry

HELP NEEDED ASAP PLEASE!

Answers

Answer:

I think its C

Step-by-step explanation:

the last circle or c

Please help answer this I need to get this done

Answers

I think it is 3/4 I am not sure this one

Jonathan is shopping for a frame for a square painting. Each side measures 9.5 inches. What is the perimeter of the painting?

Answers

8145 this is because you multiply them all together this is for all four sides

Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amount of $1.00 at 5.5 Percent compounded Daily”. A). What amount will he have in his account 28 later ? B.) How much will be compound interest ?

Answers

Answer:

A) Amount = $ 116,601.31

B) Compound Interest = $ 91,601.31

Step-by-step explanation:

Compound interest Formula

A = P(1 + r/n)^nt

Where

P = Initial amount invested = $25,000

r = interest rate = 5.5 %

n = Compounding frequency = daily

t = time in years = 28 years

A). What amount will he have in his account 28 years later ?

First, convert R percent to r a decimal

r = R/100

r = 5.5%/100

r = 0.055 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.000150685/365)^(365)(28)

A = $ 116,601.31

B.) How much will be compound interest ?

I = Amount - Principal

A(Amount ) = $ 116,601.31

P (principal) = $ 25,000.00

I = $ 116,601.31 - $ 25,000.00

I (interest) = $ 91,601.31

A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.

What kind of statistical study did the veterinarian conduct?

A.
theoretical study
B.
survey
C.
experiment
D.
observational study

Answers

I’m pretty sure the answer is B. survey.

Answer:b

Step-by-step explanation:

Plato

One number exceeds the other by 9 and their sum is 81. Find the
numbers.

Answers

Answer:

36, 45

Step-by-step explanation:

Using equations you get [tex]x + x+9=81[/tex] because one number is 9 more than the other and the sum is 81. Simplifying you get, [tex]2x = 72[/tex]. Divide both sides by 2 to get [tex]x=36[/tex]. Remember this is only x so to get the other number you have to add 9 to 36 to get 45 as the other number.

If Jo drives 357 miles and uses 17 gallons of gas how many miles per gallon did he get? How far could Jo go on 50 gallons of gas?

Answers

He got 21 miles per gallon, which mean he would be able to go 1,050 miles with 50 gallons of gas.

Answer:

(a) 21 miles per gallon. (b) 1050 miles.

Step-by-step explanation:

357 / 17 = 21 miles per gallon.

21 * 50 = 1050 miles.

Is 40/48 and 56/42 proportional

Answers

No

The first fraction is under 1 whole while the second fraction is over 1 whole.

40/48 and 1  14/42 is what this is equal to.

May I have brainliest please? :)

Answer:

No

Step-by-step explanation:

the two fractions go down to

40/48= 5/6

56/42= 8/7

So, No

If all 3 drones have the same mass which one has the thr greatest acceleration?​

Answers

Answer:

We conclude that the red drown has the greater the acceleration.

Step-by-step explanation:

Given

Given that all 3 drones have the same mass.

To determine:

Which drone has the greatest acceleration

From the figure, it is clear that the red drown has a steeper slope. We know that the steeper the slope of the line the greater the acceleration.

It is also visible the red drone has already covered 50 km in just 50 minutes speed, while the blue drone covered around 30 km in 50 minutes and the green drone is the slowest of all, covering less than 20 km in 50 minutes.

Therefore, we conclude that the red drown has the greater the acceleration.

PLEASE HELP!!!!!! 30 POINTS

What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?

Answers

Answer:

y+5=2⋅(x+2)

Step-by-step explanation:

Simply this plz ո • ո3

Answers

Answer:

Answer is n^4

Step-by-step explanation:

You add the exponent when they are multiplying and have the same base

Answer:

n^4

Step-by-step explanation:

n^3 just means nxnxn and now, you are going to multiply that by another n. So it will become nxnxnxn which is essentially just n^4. Also, you should keep in mind that when you multiply a number by another number that has exponents in it but has the same base, you can just add their exponents. For example, n is actually just n^1 and when you multiply it by n^3 you can just add the one and the three to get 4. Which will give you n^4. Another example is if you have 6^5 multiplied by 6^3, you can just add the exponents and put that on the base to get 6^8. This works because 6^5 is just (6x6x6x6x6) and 6^3 is just (6x6x6) and when you multiply all of them you get 6^8 (6x6x6x6x6x6x6x6) I hope the last part made sense. If it didn't, you can just use the nxnxnxn logic instead. The last part was a little hard from me to explain.

3.1(g-7)-1=5.2 what is G

Answers

3.1g-21.7=5.2
+21.7+21.7
3.1g=26.9
/3.1. /3.1
G=8.97

Answer:

g = 8.7

Step-by-step explanation:

3.1 (g - 7) = 5.2

Multiply by 3.1

3.1g - 21. 7 = 5.2

Add 21.7 to both sides

3.1g = 5.2 + 21.7

3.1g = 26.9

Divide both sides by 3.1

g = 26.9 / 3.1

g = 8.677 = 8.7

Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal. Let p represent the refrigerator’s original price. Which equation models this situation?

Answers

The correct answer is option A. Since store A is giving a discount of 15% on the original price i.e.$ p. Then, the price after discount will be equal to $ 0.85p . And, the second store B offers $150 less than the original price p i.e the price after reduction is $p-$150. Since both the proces after reduction are equal. Thus, $ 0.85p = $p-$150

p:-3x + 8x - 5x = x

q: (3x)(5y) = 15xy

Which of the following statements is false?

Answers

Answer: Statement p is false.

Step-by-step explanation:

In both cases, we need to isolate the variables:

p: -3*x + 8*x - 5*x = x

   (-3*x - 5*x) + 8*x = x

    -8x + 8*x = x

        0 = x

This will be true only for one value of x, so this is not always true, which means that the statement is false.

q: (3*x)*(5*y) = 15*x*y

let's solve the left side:

  3*x*5*y = 15*x*y

  (3*5)*(x*y) = 15*x*y

   15*x*y = 15*x*y

This is true for every value of x and y, then this statement is true.

PLEASE HELP!!!!!!!!!!!!!!!!!!

Answers

Sorry I’m not good at this

Answer:

I hope this helps :)        

The perimeter of the triangle shown below is 37 centimeters. Find the value of x.
2r + 1
3x
2(x + 4)

Answers

Answer:

4

Step-by-step explanation:

Perimeter of triangle = 2x + 1 + 3x + 2(x + 4)

                                   = 2x + 1 + 3x + 2x + 8

                                   = 7x + 9

7x + 9 = 37

7x = 37 - 9

    = 28

x = 28 ÷ 7

x = 4

Jason puts 500$ in a savings account at an annnual interest rate of 3% if he does not put money in or take money out what is the interst he will get at the end of 8 months round up to the nerest cent

Answers

Answer:

$500.1

Step-by-step explanation:

Step one:

principal= $500

rate= 3%

time 8 months

Required

The  final amount

Step two;

simple interest= PRT/100

SI= (500*0.03*8/12)/100

SI=10/100

SI=0.1

The final amount is

Amount= 500+0.1

Amount= $500.1

What’s da answerrr ?..

Answers

Answer:

It is half as much. urysukdhwjx8hdjdhvndkduc

Half as much blablablabalabajsjjfhbf

HELP! HELP! HELP! IT IS DUE TODAY YOU WILL GET 100 POINTS JUST HELP!

Answers

Answer:

___Its the first option___

Answer:

A

Step-by-step explanation:

The square root of 16 is 4 and of 49 is 7. 4/7 is equivalent to the square root of 16/49.

Other Questions
What are the three pairs of parallel segments in ABC? Dilate by a scalefactor of 1/2ALD Which of these helps you avoid debt by keeping your expenses below your income? A. A personal budget B. Liability insuranceC. Cost-benefit analysis D. A production possibilities frontier What can happen when tectonic plates move a few centimeters?A. The atmosphere can become cooler.B. Whole continents can move.C. The ozone layer can thicken.D. The moon can move closer to Earth. A 260-kg glider is being pulled by a 1,940-kg jet along a horizontal runway with an acceleration of a= 2.20 m/s^2 to the right. Find the following: a. the magnitude of the thrust provided by the jet's engines. b. the magnitude of the tension in the cable connecting the jet and glider Hello! I Need help with this. Please Help Make Sure you explain your answer i will be marking brainliest to the first person who has the right answer.....:D a character that is raised and smaller above the baseline is called I need helps please its really urgent thank you what's there beyond sleep,eat work in this cruel life answer How did the war affect attitudes toward slavery in the United States?F. African Americans were seen as too valuable as soldiers to beenslaved people.G. Loyalists had to free enslaved people as punishment for supportingthe BritishH. Slavery was outlawed in the United States immediately following the war.I. The ideals of freedom and liberty led some white Americans toquestion slavery. What is the slope of this line? II y = -3x + 1 essay: TAKING NOTES In this project, you will practice the skill of taking notes from an oral presentation. You will need all of the skills you have learned in the previous lessons. I just need a summary. SOS An author would include subheadings in an article to__________.1.)include interesting formatting2.)break up the article so its not too long3.)help a reader skim the information4.)highlight data and statistics Imma try againCan someone link me a website or pdf explaining how to solve this?I'm sure it is easy but I just haven't been taught this Why did the Ming Dynasty fund the Star Fleet?Select one:a.The Silk Road had just closed, and a new trade route was needed.b.The Star Fleet was able to give jobs to many Chinese peasants so they wouldn't rebel.c.The emperor wanted to gain control over bordering kingdoms and have them pay tribute.d.The Ming Dynasty wanted to impress its enemies with a show of military strength at ses. Y=7/8x-3/2Y=-8/7x-3/2Y=-3/2x+7/8Y=-7/8x-3/2 What is one example of prose? Write an analysis of the poem with a special emphasis on its historical background and Elizabeth Browning's life story (a historical or biographical approach) 50 points Explain this statement- "Internal changes within the air, water, soil and sound around us is called pollution". Is this sentence correct? Yo estamos feliz Steam Workshop Downloader