For which values of x is the inequality 2(1 + x) > x + 8 true?

Answers

Answer 1

Answer:

[tex]\large\boxed{\text{For}\ x>6\to x\in(6,\ \infty)}[/tex]

Step-by-step explanation:

[tex]2(1+x)>x+8[/tex]                 use distributive property

[tex]2+2x>x+8[/tex]       subtract 2 from both sides

[tex]2x>x+6[/tex]           subtract x from both sides

[tex]x>6[/tex]


Related Questions

An office supply store carriers a all-in-one printer with a regular price of $240. The printer is on sale at 15% off. In addition, the store is offering a $20 mail-in rebate. How much will it cost a customer to purchase this printer, including 5% sales tax on the in-store purchase price?

Answers

Answer:

Price of the printer is = $193.20

Step-by-step explanation:

Office supply store purchased an all in one printer wit a regular price = $240

After 15% off price of the printer = $240 - 15% of $240

                                                     = [tex]240-\frac{15\times 240}{100}[/tex]

                                                     = 240 - 36

                                                     = $204

The store is offering $20 mail in rebate so the price of printer after rebate

= $204 - $20

= $184

Now price of the printer including sales tax = 184 + 5% of 184

= 184 + [tex]\frac{5\times 184}{100}[/tex]

= 184 + 9.20

= $193.20

Answer:

284.20

Step-by-step explanation:

THIS IS THE ANSWER I HAD THE SAME QUASTION!!!!!

In ABC, what is the measure of angle B? I think it’s 46.

Answers

Answer:

i think it is 46

Step-by-step explanation:

Write this ratio as fraction in simplest form 20 ounces to 2 pounds

Answers

Answer:

Step-by-step explanation:

Final answer:

To convert the ratio of 20 ounces to 2 pounds into the simplest form, multiply 2 pounds by the conversion factor of 16 to equal 32 ounces. The fraction 20/32 is then simplified to 5/8, which is the simplest form of the ratio.

Explanation:

To convert the ratio of 20 ounces to 2 pounds into a fraction in simplest form, you must first know the unit equivalence between pounds and ounces, which is 1 pound = 16 ounces. Since we are converting pounds to ounces, we multiply the number of pounds by 16. Therefore, 2 pounds is equivalent to 2 x 16 = 32 ounces. Now, we have a ratio of 20 ounces to 32 ounces, which can be expressed as a fraction 20/32. To simplify, both numbers can be divided by the greatest common divisor (GCD) of 4, resulting in 5/8. Thus, the ratio of 20 ounces to 2 pounds in the simplest form is 5/8.

triangle ABC has verticles A(0,6), B(-8, -2), and C(8,-2). A dilation with a scale factor of 1/2
and center at the origin is applied to this triangle. what are the coordinates of B' in the dilated image? ​

Answers

Multiply x and y by 1/2(0.5)

-8 × 1/2 = -4

-2 × 1/2 = -1

Answer: B'(-4, -1)

are the two terms on each tile like terms? sort the tiles into the appropriate categories.

Answers

Answer:

all of them are like terms except for "5x and 5" and "3ad and 2bd"

Step-by-step explanation:

like terms in math mean the same variables

Answer:

Like terms: -7y^2 and y^2 | 0.5kt and -10ktm | 6 and 9

Unlike terms: 5x and 5 | 3ad and 2bd | -4p and p^2

Skttep-by-step explanation:

Just did it

use formula A=P(1+RT) to calculate the maturity value of the simple interest loan round to two decimal places.

P=$15000 R= 8.6% T = 4 MONTHS


SO WHAT I DID WAS CHANGE 8.6% TO .086 AND 4 DIVIDED BY 12 IS .33
PLUGGED IT IN AND I GOR 15429.57 AND MY ANSER IS WRONG

Answers

Answer:

$20,160

Step-by-step explanation:

They don't have a year to pay it back. They have four months so you just use that as time.

Write the equation

A = 15,000 x (1 + 0.086 x 4)

( ) first.

0.086 x 4 = 0.344

rewrite.

A = 15,000 x (1 + 0.344)

( ) again.

1 + 0.344 = 1.344

rewrite

15,000 x 1.344 = 20,160

Hope this helped! Please mark as brainliest! thanks!

Final answer:

The student made a calculation error in converting 4 months into a year fraction. It should be 0.333..., not 0.33. With the correct conversion, the maturity value can be accurately calculated using the formula A=P(1+RT).

Explanation:

From the details that you've given, the student used the formula A=P(1+RT) correctly, where A is the maturity value of the loan, P stands for the principal amount, R for the rate of interest, and T for time.

In this question, P = $15000, R = 8.6%, and T = 4 months. The student correctly changed 8.6% to 0.086 (since percentage must be converted to decimal form by dividing by 100 in calculations) and also accurately converted 4 months into 0.33 (since the term of the loan is expressed in terms of a year).

However, the correct conversion of 4 months into year should be 4/12 = 0.333.... (since 1 year is equal to 12 months), not 0.33. So T = 0.333...

Let's plug in these values:
A = 15000(1+0.086*0.333...)
This will give you the accurate maturity value.

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Sam is a waiter at a local restaurant where he earns wages of $6 per hour. Sam figures that he also earns about $2.50 in tips for each person he serves. Sam works 4 hours on particular day.
If n represents the number of people Sam serves that day, which of the following functions causes Sam use to figure E, his total earnings for a day

Answers

Answer:

$2.50n + $24 (6x4) = e

Step-by-step explanation:

$6x4 = $24

$2.50n + $24 (6x4) = e

I hope this helps you on your test :)

The function that models the total earnings will be E = 2.50n + 24.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given,

Sam earns $2.50 per person as a tip.

For n number of people the earnings through tip = $2.50n

The earning per hour = $6

For 4 hours the earning = $6 x 4 = $24

Total earning E = 2.50n + 24

Hence "E = 2.50n + 24 will be the model for the total earnings".

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the quotient of 100 and the sum of b and 24​

Answers

Final answer:

To find the quotient of 100 and the sum of b and 24, divide 100 by the sum of b and 24.

Explanation:

The quotient of 100 and the sum of b and 24 can be found by dividing 100 by the sum of b and 24. This can be expressed as:

Quotient = 100 / (b + 24)

For example, if b is 5, the sum of b and 24 is 29. So, the quotient of 100 and 29 would be approximately 3.4483.

anayas team won 5 out of every 7 games this season if the team played 28 games this season how many games did they win

Answers

Anaya’s Team won 20 games

Final answer:

Anaya's team won 5 out of every 7 games. Using the proportion principle, we find that the team won 20 out of 28 games in the season.

Explanation:

Anaya's team won 5 of every 7 games played. This means, for every 7 games, they won 5 games, which is their win ratio. To find out how many games they won out of the 28 games played in the season, we can set up a proportion and solve it.

Step 1: Setup the proportion: 5/7 = x/28, where x is the number of games won.

Step 2: Solve the proportion for x. Cross-multiply and divide: (5*28)/7 which gives us 20.

So, Anaya's team won 20 games during the season out of the 28 games they played.

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what is the area of this ?????

Answers

Answer:600

Step-by-step explanation: all u have to do is 30* 15+5= 600 just like L*W

Answer:

75

Step-by-step explanation:

how i got my answer because if you add all of the number 10+15+15+30+5 your answer will simply be 75 hope for the best and hope for brainlist

What is the measure of an inscribed angle that intercepts an arc whose measure is 70 degrees
35
70
140
None of the above

Answers

35 is the answer for this question hope it helps

Lynne has $8.00 to spend on apples and oranges. Apples cost $0.65 each, and oranges cost $0.75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?​

Answers

Answer:

6, she can buy 6 oranges.

Final answer:

After purchasing 5 apples, Lynne has $4.75 left. Since oranges cost $0.75 each, she can afford to buy a maximum of 6 whole oranges.

Explanation:

The subject of this question is a real-world application of the basic mathematics principle of subtraction and division.

Lynne starts with $8.00 and spends $0.65 per apple for 5 apples, which totals to $3.25. We subtract that sum from the starting amount. $8.00 - $3.25 = $4.75 remains. This remaining money is what Lynne can use to buy oranges, which cost $0.75 each.

To find out the maximum whole number of oranges she can buy, we divide the remaining money by the cost of each orange: $4.75 / $0.75 ≈ 6.33.

Since Lynne can't buy a fraction of an orange, we round down to the nearest whole number. So, Lynne can buy a maximum of 6 oranges.

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I can't figure this one out.

Answers

Answer:

it increase and by 16.7

Step-by-step explanation:

The number of freshmen entering college in a certain year is 621. What type of data is 621?
Continuous data
Categorical data
Discrete data

Answers

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

The number of freshmen entering college in a certain year = 621

It is considered as discrete data.

Since we know the definition of Discrete which refers to all types of data which take only numerical values.

It is based on counts.

According to question, we have given the exact number of freshmen instead of any range or interval.

Hence, Third option is correct.

Answer: The answer you the question is C. Discrete data I hope this helps :)

Please help solve this problem

Answers

Answer:

C. x²

Step-by-step explanation:

With fractions, you can subtract the exponents, therefore the answer is x²

Answer:

C. [tex]x^2[/tex]

Step-by-step explanation:

We want to simplify;

[tex]\frac{x^3}{x}[/tex]

We can rewrite this as

[tex]\frac{x^2\times x}{x}[/tex]

We cancel out the common factors to get;

[tex]\frac{x^2\times1}{1}[/tex]

This simplifies to;

[tex]x^2[/tex]

The correct choice is C.

Which expression is equivalent to (x+1)^2-g/x+4?

Answers

Answer:

[tex]\frac{x^2+2x+1-g}{x+4}[/tex]

Step-by-step explanation:

We are given the following expression and we are to evaluate it and find the expression equivalent to it:

[tex] \frac { ( x + 1 ) ^ 2 - g } { x + 4 } [/tex]

We know that [tex](a+b)^2=a^2+2ab+b^2[/tex] so we will expand the term [tex] ( x + 1 ) ^ 2 [/tex] according to this to get:

[tex](x+1)^2=x^2+2x+1[/tex]

Therefore, we get the expression:

[tex] \frac { x ^ 2 + 2 x + 1 - g } { x + 4 } [/tex]

Answer:

x-2

Step-by-step explanation:

edge 2022

Find the value of X and
What equation do you use for this problem

Answers

You set them equal to each other since they are proprtional

So 12-x=x

Add x on both sides

12=2x

Divide by 2 on both sides

6=X

Answer:  x = 4

Step-by-step explanation:

Since the two triangles are similar, you can set up a proportion:

[tex]\dfrac{16}{12-x}=\dfrac{8}{x}\\\\\\\text{Cross Multiply and solve for x:}\\16(x)=8(12-x)\\16x=96-8x\\24x=96\\\boxed{x=4}[/tex]

What is 99.75 rounded off to the nearest whole number

Answers

Answer:

100

Step-by-step explanation:

.75 will make 99 closer to 100

The rounded-off 99.75 to the nearest whole number will be 100.

How do round any digit?

To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.

In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.

The whole number is the nondecimal number for example 2,5,7.

Given the number 99.75

The whole number around 99.75 are 99 and 100

Now,

100 - 99.75 = 0.25 and 99.75 - 99 = 0.75

Since 0.25 < 0.75

100 will be nearer to 99.75 so it will be the correct answer.

Hence "The rounded-off 99.75 to the nearest whole number will be 100".

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Factor completely: x2 + 10x + 24 (Which is the right answer?)


Prime

(x + 12)(x + 2)

(x + 3)(x + 8)

(x + 6)(x + 4)

Answers

Answer:

(x + 6)(x + 4)

Step-by-step explanation:

[tex]x^2+10x+24=x^2+6x+4x+24=x(x+6)+4(x+6)=(x+6)(x+4)[/tex]

what is 5 17/18 simplified​

Answers

Answer:

It is already simplified

Step-by-step explanation:

5 17/18 is already in it's simplest form. Glad to help

HELP IM TIMED



The triangles are isosceles and ABC:JKL what is the length of JL

Answers

8 because AB=BC as they are isosceles and 5/2.5=2 therefore ACx2=JL= 8

Circle o has a circumference of 36 Pi centimeters what is the length of the radius r​

Answers

Answer:

r = 18 cm

Step-by-step explanation:

Hello

The formula for circumference is 2*Pi*r

So you have the valur for that formula:

2*Pi*r = 36Pi

r = 36/2

r = 18 cm

Bes regards

Solve the equation above 2x+18=7x-30

Answers

Answer:

9.6

Step-by-step explanation:

✯Hello✯

↪  so first we need to 'kill' the smaller x. This can be done by taking 2x from 7x

↪  That leaves us with 18= 5x-30. Add 30 on both sides and we get 48=5x

↪  we divide by 5 on both sides

↪  that gives us 9.6

HOPE THIS HELPS

❤Gianna❤

Final answer:

To solve the equation 2x+18=7x-30, subtract 2x from both sides, add 30 to both sides, and divide both sides by 5 to find x = 9.

Explanation:

To solve the equation 2x+18=7x-30, we need to isolate the variable x on one side of the equation. First, we can start by simplifying both sides of the equation. Subtracting 2x from both sides gives us 18 = 5x - 30. Next, we can add 30 to both sides to get rid of the -30 on the right side. This gives us 48 = 5x. Finally, divide both sides by 5 to solve for x. The final solution is x = 9.

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What is 0.02777777777 as a fraction

Answers

The decimal 0.02777777777 can be expressed as the fraction [tex]\( \frac{1}{36} \)[/tex] (Option C).

1. Let's denote the repeating decimal as [tex]\( x \)[/tex]:

  [tex]\( x = 0.02777777777 \)[/tex]

2. Multiply both sides of the equation by 100 to shift the decimal two places to the right:

  [tex]\( 100x = 2.7777777777 \)[/tex]

3. Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part:

  [tex]\( 100x - x = 2.7777777777 - 0.02777777777 \)[/tex]

  [tex]\( 99x = 2.75 \)[/tex]

4. Solve for [tex]\( x \)[/tex]:

  [tex]\( x = \frac{2.75}{99} \)[/tex]

5. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 0.25):

  [tex]\( x = \frac{11}{4 \times 9} \)[/tex]

  [tex]\( x = \frac{11}{36} \)[/tex]

Therefore, the decimal 0.02777777777 can be expressed as the fraction [tex]\( \frac{1}{36} \)[/tex].

What is the value of the ratio of the surface area to the volume of the cylinder? 0.38 2.66 0.94 0.7

Answers

Answer:

the correct answer is 0.38, I used the other persons answer and got it wrong.

Step-by-step explanation:

Julio has $2.75 in his pocket in nickels and dimes . The number of dimes is 10 less than twice the number of nickels. Find the number of each type of coin

Answers

A Dime is worth 2 nickels which equals 10.

let no of dimes be x

let no of nickles be y

so as per the data mentioned in the question , x=2*y-10

total amount = $2.75 

so total amount should comprise of nickels and dimes

x*dimes + y*nickels = $2.75

x*( 2 nickels)+ y *nickels = $2.75

=> nickles( 2x+y) = $ 2.75

but 20 nickels = 1 dollar

nickles(2x+y) = 2.75*20 nickels

cancelling nickles on both sides

2x+y = 55

already we know that x= 2y-10 

so 2(2y-10) +y= 55

4y-20+y=55

5y -20 =55

So, your answer is 55.

Answer:  15 nickels and 20 dimes

Step-by-step explanation:

Nickels (N) = N and each is worth $0.05

Dimes (D) = 2N - 10 and each is worth $0.10

0.05N + 0.10D = 2.75

0.05N + 0.10(2N - 10) = 2.75

0.05N + 0.20N - 1.00 = 2.75

             0.25N - 1.00 = 2.75

             0.25N           = 3.75

                    N          =   15

D = 2N - 10

   = 2(15) - 10

   =  30  - 10

   =     20

Check:

0.05(55) + 0.10(20) = 2.75

   0.75    +     2.00   = 2.75

            2.75           = 2.75 [tex]\checkmark[/tex]

school art teacher needs 200 sticks of clay. An art shop donates 9 small boxes of clay and 6 large boxes of clay. How many more sticks will the art teacher need? Now the art teacher is going yo buy the reminder he needs in large boxes. 1 box cost $14. dollars. What is the total cost of these boxes?​

Answers

Answer:

the art teacher still needs 68 sticks of clay

Step-by-step explanation:

9*10=90

6*7=42

90+42=132

200-132=68 please can you answer my newest question im so stuck

The teacher needs 74 more sticks of clay which can be bought in 7 large boxes. The total cost for these boxes is $98.

Let's solve this step by step:

Step 1: Calculate the total number of clay sticks provided by the donated boxes.

Assuming each small box contains 6 sticks of clay and each large box contains 12 sticks of clay (these are reasonable assumptions for this problem).The art shop donates 9 small boxes and 6 large boxes.Total from small boxes: 9 boxes * 6 sticks = 54 sticksTotal from large boxes: 6 boxes * 12 sticks = 72 sticksTotal donated sticks: 54 + 72 = 126 sticks

Step 2: Calculate the number of additional sticks needed.

Total sticks needed: 200 sticksAlready donated: 126 sticksAdditional sticks needed: 200 - 126 = 74 sticks

Step 3: Calculate the number of large boxes needed to obtain the additional 74 sticks.

Each large box contains 12 sticks.Number of large boxes required: 74 sticks / 12 sticks per box = 6.1667Since the teacher needs whole boxes, round up to the next whole number: 7 large boxes

Step 4: Calculate the total cost of the boxes.

Cost per large box: $14Total cost: 7 boxes * $14 = $98

Therefore, the total cost for the additional 7 large boxes of clay is $98.

Which statement describes the value of the expression 15x (8+45)?

Answers

where are the statement

The expression (15x(8+45)) simplifies to (795x). Therefore, its value is (795x). What is the value of (795x)?

let's break down the expression step by step:

Given expression: (15x(8+45))

Step 1: Perform the operation inside the parentheses.

[8 + 45 = 53]

Step 2: Multiply the result from step 1 by 15x.

[tex]\[15x \times 53 = 795x\][/tex]

So, the value of the expression [tex]\(15x(8+45)\) is \(795x\)[/tex].

complete question:

What is the value of the expression [tex]\(15x(8+45)\)[/tex]?

Mr. Stanton bought 2.6 yards of fabric for $8.84. What was the cost per yard?

Answers

It’s 3.4, but that’s what I think it is

9 + 4 (x + 2) - 3x What is the term that best describes 3 in this expression?

Answers

B. Coefficient is your awnser

For this case we have that by definition, a coefficient is a factor linked to a monomial.

Example:

[tex]-5x ^ 3[/tex]

- : It's the sign

5: It is the coefficient

x: It is the variable

3: It is the degree

Then, according to the given expression, we can conclude that the number 3 that accompanies the variable "x" is defined as a coefficient.

Answer:

Option B

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