2(x - 3) + 5x < 9x - 14
how do you solve this

Answers

Answer 1

Answer:

x>4

Step-by-step explanation:

Use the distributive property to multiply 2 by x−3.

2x−6+5x<9x−14

Combine 2x and 5x to get 7x.

7x−6<9x−14

Subtract 9x from both sides.

7x−6−9x<−14

Combine 7x and −9x to get −2x.

−2x−6<−14

Add 6 to both sides.

−2x<−14+6

Add −14 and 6 to get −8.

−2x<−8

Divide both sides by −2. Since −2 is <0, the inequality direction is changed.

x>-8/-2

Divide −8 by −2 to get 4.

x>4

Please give me the Brainliest answer!!!!

Answer 2

Answer:

x=4

Step-by-step explanation:

First you would distribute the 2 to get

2x-6+5x<9x-14

then you would combine like terms to get 7x

7x-6<9x-14

Third you would take the 7x across to the 9x making 2x (because you change the sign when moving across the =) so

-6<2x-14

Then bring the -14 across to the -6 making it 8

8=2x

then divide both sides by 2


Related Questions

what does the n mean in math

Answers

Answer: natural numbers

Step-by-step explanation:

Natural numbers hope this helps .

ASAP PLEASE I NEED HELP explain to me also because i dont understand Thank you!
both questions 7 &8

Answers

Answer:

For 7 I think A- ( I hope its right-) and 8 is D. - . <:)))))

Step-by-step explanation:

Can someone help me with this math question please

Answers

Answer:

0.1

Step-by-step explanation:

4 x 10^-3 = 0.004

4 x 10^-4 = 0.0004

0.0004 ÷ 0.004 = 0.1

The perimeters of the triangles shown are equal. Find the side lengths of each
triangle
2x+9
2x+8
2x
2x
R
3x+4
2x
PQ =
QR =
AB
BC=
AC = 1
(Type a whole number.)
PR

Answers

Jtzotztkztozitzoyxykzylzotztizittoztizitztizitztozotztoztiztozitztizztizitztizttozoyzoyztto

Working alone, Jack can do a puzzle in 5 hours. With his brother's help, the two can do the same puzzle in 2 hours. How long would it take Jack's brother to do the puzzle alone?

Answers

Answer:

3 hours and 20 minutes

(sorry i didnt show my work)

Solve the absolute value equation: |5x - 10| = |5x +25|

Answers

Answer: x=-3/2

Solve Absolute Value.

|5x−10|=|5x+25|

We know either5x−10=5x+25or5x−10=−(5x+25)

5x−10=5x+25(Possibility 1)

5x−10−5x=5x+25−5x(Subtract 5x from both sides)

−10=25

−10+10=25+10(Add 10 to both sides)

0=35

5x−10=−(5x+25)(Possibility 2)

5x−10=−5x−25(Simplify both sides of the equation)

5x−10+5x=−5x−25+5x(Add 5x to both sides)

10x−10=−25

10x−10+10=−25+10(Add 10 to both sides)

10x=−15

10x

10

=

−15

10

(Divide both sides by 10)

x=

−3

2

Check answers. (Plug them in to make sure they work.)

x=

−3

2

(Works in original equation)

Answer:

x=

−3

2

Clear Absolute Value Equation

Step-by-step explanation:

Which situation is the best example of a pure competition market?
A. Two gas stations operate on the same busy intersection.
B. Several computer companies sell laptops with unique features.
C. Two companies own every high-speed Internet provider in a country.
D. One company controls every steel mill in a country.

Answers

Answer: a

Step-by-step explanation: apex learning

The statement "Two gas stations operate on the same busy intersection." is correct option (A) would be correct.

What are the null hypothesis and alternative hypothesis?

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

We have:

Which situation is the best example of a pure competition market?

The statements are:

A. Two gas stations operate at the same busy intersection.B. Several computer companies sell laptops with unique features.C. Two companies own every high-speed Internet provider in a country.D. One company controls every steel mill in a country.

As we know, from the hypothesis definition the explanation made by the limited data.

The situation two gas stations operate on the same busy intersection.

Thus, the statement "Two gas stations operate on the same busy intersection." is correct option (A) would be correct.

Learn more about the null hypothesis and alternative hypothesis here:

brainly.com/question/27335001

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Bob has a recipe for salad dressing the recipe says to mix 1/4 cup lemon juice. 1/8 cup mustard and 1/4 cup vinegar how much lemon juice does he need to make 4 cups of salad dressing show your work

Answers

Answer:

Step-by-step explanation:

1/4*x + 1/8*x + 1/4 * x = 4 cups

5/8 * x = 4 cups                    Multiply both sides by 8/5

5/8 * 8/5 x = 4  8/5

x = 32/5

x = 6.4

That means that each ingredient must be multiplied by 6.4

1/4 * 6.4 = 1.6 cups lemon juice

1/8 * 6.4 = .8  cups mustard

1/4 * 6.4 = 1.6 cups vinegar

Total = 4 cups.

Employment statistics in the US are often based on two nationwide monthly surveys: the Current Population Survey (CPS) and the Current Employment Statistics (CES) survey. The CPS samples approximately US households and collects the employment status, job type, and demographic information of each resident in the household. The CES survey samples non-farm businesses and government agencies and collects the number of payroll jobs, pay rates, and related information for each firm.
a. What is the population in the CPS survey?b. What is the population in the CES survey?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The population in the CPS survey is

   Total number of US households

The population in the CES survey is

   Total  number of  nonfarm businesses and government agencies

Step-by-step explanation:

From the question we are told that

     The number of  US households sampled by  CPS  is  60 , 000

       The number of  nonfarm businesses and government agencies sampled by  CES is  140,000

Generally population is defined as the universal set  where the samples are drawn from

Hence the population of  CPS survey is the total number of US households

 And  the population in the CES survey is the total  number of  nonfarm businesses and government agencies

-4x +1 = -11 – 2x What is it?​

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

4x + 1 = -4

-11 - 2x = -2

-4 - 2 = -6

3x + 12 > 3(x + 4)
What is a solution for this inequality

Answers

Answer:

There are no solutions.

Step-by-step explanation:

3x+12>3(x+4)

Step 1: Simplify both sides of the inequality.

3x+12>3x+12

Step 2: Subtract 3x from both sides.

3x+12−3x>3x+12−3x

12>12

Step 3: Subtract 12 from both sides.

12−12>12−12

0>0

Wilson paints 40% of a bookcase in 20 minutes. How much more time will it take him to finish his bookcase

Answers

It will take 60 more minutes to complete the entire bookshelf
40%+60%=100% of the bookshelf
20+20+20=60

2) Which expressions are equivalent to 1/3 - (-1/4). Select all that apply.

Answers

What are all that apply?

Given the function f(x)=4x-7, what value of x results in f(x)=13

Answers

Answer:

There is your answer and work

What is the range of this function? 3 0 5 7 4 11 6 A. {-3,4,5,7} B. {-3,0,4,6} C. {-3,0,3,4,5,6,7,11} D. {3,5,7, 11}​

Answers

Answer:

this was incorrect. the answer is -3, 0, 4, 6

Step-by-step explanation:

The required range of the function is given as {-3, 0, 4, 6}. Option B is correct.

What is the range?

The range is the set of values that come out to an outcome for certain mathematical operations.

What is a domain?

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
The range of this function can be justified with help of the figure,

As the left set represents the domain and the right set represents the range,
So the range is given as {-3, 0, 4, 6}

Thus, the required range of the function is given as {-3, 0, 4, 6}. Option B is correct.

Learn more about the range here:
https://brainly.com/question/12239390

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Which list of fractions is in order from smallest to largest
A. 3/10, 3/5, 3/4, 3/12
B. 3/4, 3/5, 3/10, 3/12
C. 3/5, 3/4, 3/12, 3/10
D. 3/12, 3/10, 3/5, 3/4​

Answers

D. .........................

Answer: D. 3/12, 3/10, 3/5, 3/4

Step-by-step explanation:

The denomination decreases every time making the fraction bigger

Thank you for the person that answers this :)

Answers

Answer:

g(x) = - 3^x

Step-by-step explanation:

G is a reflection across the x axis of the function of f(x)

g(x) = −f(x)

g(x) = - 3^x

What is the solution to this equation? 2x - 5 + 3x = 35 A. x = 6 B. x = 8 C. x = 20 D. x = 15

Answers

Answer:

B. x = 8

Step-by-step explanation:

PLEASE HELP !!!!!!!!!!!!!!!!!!
Sue’s cafeteria has those cute little cartons of milk that are typical of school lunch. The milk supplier charges $0.45 per carton of milk, in addition to a delivery charge of $75. What is the maximum number of milk cartons that Sue can buy if she has budgeted $600 for milk?
Write and solve an inequality that models this situation.




Describe in words the quantities that would work in this situation.

Answers

Answer:

1,166

Step-by-step explanation:

600-75= 525

525 divided by 0.45 is 1166.66667 repeating so it would be 1166 since you cant have a fraction of a carton of milk bought.

!!!NEED HELP ASAP, 40 POINTS!!!
If f(x)= x/2 and g(x) = 2x^2, find (f+g)(x)
A. 2x^3 + 3/2x+1
B. 2x^2 + 3/2x-5
C. x^2-6
D. 2x^2 + x/2+1

Answers

Answer:

B

Step-by-step explanation:

We have the two functions:

[tex]f(x)=\frac{x}{2}-2\text{ and } g(x)=2x^2+x-3[/tex]

And we want to find:

[tex](f+g)(x)[/tex]

This is the same thing as:

[tex]=f(x)+g(x)[/tex]

Let's substitute them for their respective equations. This yields:

[tex]=(\frac{x}{2}-2})+(2x^2+x-3)[/tex]

Combine like terms:

[tex]=(2x^2)+(\frac{x}{2}+x)+(-2-3)[/tex]

Add:

[tex]=2x^2+\frac{3}{2}x-5[/tex]

So, our answer is B.

And we're done!

Choose the correct answer below.
A. The level of​ significance, ​, is the probability of committing a Type I​ error, rejecting the null hypothesis when it​ is, in​ fact, true.
B. The level of​ significance, ​, is the probability of committing a Type I​ error, rejecting the null hypothesis when it​ is, in​ fact, true.
C. The level of​ significance, ​, is the probability of committing a Type II​ error, not rejecting the null hypothesis when it​ is, in​ fact, false.
D. The level of​ significance, ​, is the probability of committing a Type II​ error, rejecting the null hypothesis when it​ is, in​ fact, true.
E. The level of​ significance, ​, is the probability of committing a Type II​ error, rejecting the null hypothesis when it​ is, in​ fact, true.
F. The level of​ significance, ​, is the probability of committing a Type I​ error, not rejecting the null hypothesis when it​ is, in​ fact, false.

Answers

Answer: The level of​ significance, ​, is the probability of committing a Type I error, rejecting the null hypothesis when it​ is, in​ fact, true.

Step-by-step explanation:

The significance level, which is commonly designated as alpha (α) is defined the probability of rejecting the null hypothesis when it is in fact, true.

To determine statistical significance, a researcher is expected to calculate a p-value. The researcher can reject the null hypothesis if the p -value is less than α as established by the researcher.

Miss martins is organising a play
The total cost of putting on a play is £960
The school pays £300 of this costs the school then sells 500 tickets.
Each ticket costs £4.
She has enough money to pay the rest of the costs and give the rest to charity
How much is given to charity
How much is given to charity?

Answers

Answer:

1340

Step-by-step explanation:

Answer:

2500 - 960 = 1340 to charity

Step-by-step explanation:

Arrange w, x, y and z in increasing order of values if
w = (-3) × (-9),
x = 3 + (-9),
y = (-3) × 9
z = (-3) + 9.

Answers

Answer:

x

Step-by-step explanation:

when i used a graphing calculator that was the only one that had more of a positive outcome

Bryron earned $85.45 selling 25 customized notebook sat a book fair. What was the cost of each customized book sold?​

Answers

Answer: $3.418 from each book

Please mark me as Brainliest

Hope this helped :)

1. The sum of 2 consecutive integers is 91. What are the integers? Separate your integers by a
comma -
Helppp pls

Answers

45,46... add them together to get 91

Given that,

the two numbers are consecutive

The two numbers are

x and x + 1

Sum of the numbers = 81

x + (x + 1) = 91

x + x + 1 = 91

2x = 91 - 1

2x = 90

x = 90/2

x = 45

Therefore, the two numbers are x = 45 and x + 1 = 46

A toaster is priced at $27.00. The store is have a 1/3 off sale. What is the new price of the toaster?

Answers

Answer:

$18

Step-by-step explanation:

Multiply

27 * 1/3 = 9

Subtract

27 - 9 = 18

Best of Luck!

Thus, a product that normally costs $27 with a 3 percent discount will cost you $26.19, and you saved $0.81.

There are 6 people at a party. if each person must shake hands with other every other person at the party exactly once how many handshakes will there be

Answers

Answer:

If six people all shake hands with each other, how many hand shakes were made in total?

Publish your book. Become an author in 15 days. Get published.

I assume that no two people shake hands if they've already shaken them earlier, irrespective of who initiated it.

In that case Guest 1 will shake hands with 5 others (Guest 2 to 6)

Guest 2 will shake hands with 4 others (Remember she's already shaken hands with Guest 1).

Guest 3 will shake hands with 3 others (having already shaken hands with Guest 1 and 2)

and so on.....

We end up with 5+4+3+2+1 handshakes or 15 handshakes in all!

Step-by-step explanation:

please mark me as a brainlist...

Answer:

15 handshakes

Step-by-step explanation:

the 1st person shakes hands with 5 people

the 2nd person shakes hands with 4 people

the 3rd person shakes hands with 3 people

the 4th person shakes hands with 2 people

the 5th person shakes hands with 1 person

the 6th person shakes hands with no one

5+4+3+2+1=15

A change in pressure on the eardrum occurs when a pure musical tone is played. For some
tones, the pressure on the eardrum follows the sine curve
2/14
where is the pressure in pounds per square foot at time t second, and is the frequency of
the sound wave in cycles per second When p() is positive, there is an increase in pressure
and the eardrum is pushed inward: when p() is negative there is a decrease in pressure and
the eardrum is pushed outward.
(a) Graph the pressure on the eardrum for Middle C, which has a frequency of / 261.63
H. (ie, cycles per second), for between 0 and 0.005, i.e., [0, 0.005).
(1) Determine the period, denoted by 7 of p(6). What is the relationship between the period
and the frequency of the tone?​

Answers

Answer:

  a) see attached

  b) period = 1/f ≈ 3.822 ms

Step-by-step explanation:

Apparently the pressure formula is ...

  [tex]p(t)=0.004\sin{\left(2\pi ft+\dfrac{\pi}{7}\right)}[/tex]

__

a) A graph of this for f=261.63 is shown in the attachment.

__

b) The period is the time T required to change the sine function argument by 2π:

  2πfT = 2π

  T = 1/f  . . . . . .  divide by 2πf

The period is the reciprocal of the frequency.

The period of the tone is 1/(261.63 Hz) ≈ 3.822·10^-3 s

Mrs. Ross needs to buy dish soap. There are four differently sized containers. Sort the brands from least to the greatest unit price. Round each unit price to the nearest thousandth.

Answers

Answer: Spotless soap < Bright wash < Lemon bright < lot of suds

Step-by-step explanation:

Given that 8 oz of Lots of suds cost = $0.98

Then unit price of 1 lot of suds = 0.98/8 = $0.1225

Given that 12 oz of Bright wash cost = $1.29

Then unit price of 1 Bright wash = 1.29/12 = $0.1075

Given that 30 oz of Spotless soap cost = $3.14

Then unit price of 1 Spotless soap = 3.14/30 = $0.104666666667

Given that 32 oz of Lemon bright cost = $3.50Then unit price of 1 Lemon bright = 3.50/32 = $0.109375

We also need to round the values to the nearest thousandth means three digits after decimal

Then unit price of 1 lot of suds = $0.123

unit price of 1 Bright wash = $0.108

unit price of 1 Spotless soap = $0.105

unit price of 1 Lemon bright = $0.109

Now we can easily sort them

0.105 < 0.108 < 0.109 < 0.123

respective names in sorted order are:

Spotless soap < Bright wash < Lemon bright < lot of suds

b. Find the rule for this sequence.
_ _ _ 13, 25, 37

Answers

Answer:

You add 12 to the number before to subtract 12 to the number after.

Step-by-step explanation:

13+12=25

37-12=25

Can I have brainliest!

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