the solution to the inequality 3(2x-1)>4x-2 can be written as x>n what is the value of n

Answers

Answer 1

Answer:

[tex]\large\boxed{x>\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]3(2x-1)>4x-2\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(3)(2x)+(3)(-1)>4x-2\\\\6x-3>4x-2\qquad\text{subtract 4x from both sides}\\\\2x-3>-2\qquad\text{add 3 to both sides}\\\\2x>1\qquad\text{divide both sides by 2}\\\\x>\dfrac{1}{2}[/tex]


Related Questions

16. Andrew borrowed $695 for a new TV. He will make
10 monthly payments of $75 to repay the loan.
How much will he pay in interest?
$75
$695
$750
$5.50
$55​

Answers

The answer is $55

You multiply 10 by 75 which gives you $750 and subtract the borrowed money by $750 to get $55

Final answer:

Andrew will pay a total of $55 in interest on the $695 loan when he makes 10 monthly payments of $75 each.

Explanation:

The student is asking how much interest Andrew will pay on a $695 loan if he makes 10 monthly payments of $75 each. To find the total interest paid, we need to calculate the total amount Andrew will pay back and then subtract the original loan amount from it.

Total amount paid by Andrew = 10 monthly payments times $75/payment = $750

Original loan amount = $695

Interest paid = Total amount paid - Original loan amount = $750 - $695 = $55

Therefore, Andrew will pay $55 in interest to repay the loan for the new TV.

Please answer right away

Answers

Answer:

5/9

Step-by-step explanation:

To have an even number (let's call it E) OR a number greater than 9 (let's call it N), you can have EITHER of them.

So, to calculate the probability, you need to find the probability of having E and then the probability of having N... then ADD them together.

To calculate the probability, just look on the image.

Probability of having an even number: 18 (red circles)

Probability of having a number greater than 9 (that is NOT already counted in the even scenario): 2 (within the blue zone, but not red)

We don't count a same possibility (like 6,4) twice, only once.

Total: 18 + 2 = 20

Out of 36 possibilities

So, probability is 20/36, or 10/18 or 5/9.

jose went jogging with sam. jose jogged 5/8 miles before resting. sam jogged 1/4 mile more before stopping. after resting, they continued jogging. each of them jogged a total distance of 2 1/5 miles. how far did sam job before stopping? what was the distance jose jogged after resting?

Answers

Answer:

7/8 miles63/40 or 1 23/40

Step-by-step explanation:

1/4 = 2/8

5/8 + 2/8 = 7/8

    2. 2 1/5 = 11/5

11/5 = 88/40

5/8 = 25/40

88/40 - 25/40 = 63/40

For this case we have to, if Sam ran [tex]\frac {1} {4}[/tex]of a mile more than Jose, then, before stopping he ran:

[tex]\frac {5} {8} + \frac {1} {4} = \frac {20 + 8} {32} = \frac {28} {32} = \frac {14} {16} = \frac { 7} {8}[/tex]

I ran [tex]\frac {7} {8}[/tex]miles before stopping.

Now, Jose after resting ran ([tex]2 \frac {1} {5} = \frac {10 + 1} {5} = \frac {11} {5}[/tex]):

[tex]\frac {11} {5} - \frac {5} {8} = \frac {88-25} {40} = \frac {63} {40}[/tex]

Jose ran [tex]\frac {63} {40}[/tex]miles

ANswer:

[tex]\frac {7} {8}\\\frac {63} {40}[/tex]

Can someone please help me!? I have to turn this in today !

1. “How many possible “green power” options did you find in your research?”

2. What were the options you found?

3. Which is any do you feel are viable energy sources for the future why?

4. Which if any do you feel are NOT! viable energy sources for the future why?

Answers

Answer:

Step-by-step explanation:

1. 15 green power options

2. sun

wind

water

earth

tide

waves

oceans

renewable energy

biofuel

uranium

coal

natural gas

oil

tires

biomass

3. most are all viable energy sources for the future because you need them all for example like the sun if we do not have sun then we all will die

4. Oil is not a viable energy source because think of how many gallons are dumped in the ocean and how many animals and fish it kills

One cube is 3 yards by 4 yards by 2 yards. Another cube is 3 feet by 4 feet by 2 feet. What is the ratio of the volume of the first cube to the volume of the second?
(there are 3 feet in a yard)

Answers

Answer:

9ft*12ft*6ft=648

3*4*2=24

648:24

How many families have at least 4 pets?

Answers

Answer:

6 families have at least 4 pets

Step-by-step explanation:

Hope it helped you!


an arrangement of flowers originally priced at $46 is marked down to $35 what is the percent of decrease rounded to the nearest whole number

Answers

The answer is 24% I hope this helps : )

For this case we must make a rule of three:

$ 46 -----------------> 100%

$ 35 -----------------> x

Where "x" represents the percentage of the discounted cost.

[tex]x = \frac {35 * 100} {46}\\x = 76[/tex]%

We subtract to know how much was the discount percentage:

100% -76% = 24%

Thus, the discount percentage was 24%

ANswer:

24%

Which of the following statements are true?
1. The difference between -1.4 and -8.3 is positive.
2. -1.4 + 8 3 has the same value as the difference between -1.4 and -8.3.
3. The between -8.3 and -1.4 has the same value as the difference between -1.4 and -8.3.

A. 1 only
B. 1 and 2
C. All the statements are true.
D. None of the systems are true. ​

Answers

I would say C but number 2 isn’t making sense but 1 and 3 are true

Answer:B

Step-by-step explanation:

Can someone please help me ASAP?

Answers

Answer:

b. 3

Step-by-step explanation:

Box J has surface area 2(4.5 ft * 2 ft) + 2(3 ft * 2 ft) + 2(4.5 ft * 3 ft) =  57

Box F has surface area 6(3^2 ft) = 54 ft^2

The difference between the surface areas is: 57 - 54 = 3

b. diff = 3

[tex]

S_j=2\cdot(3\cdot2)+2\cdot(4.5\cdot2)+2\cdot(4.5\cdot3) \\ S_j=12+18+27=\underline{57} \\ \\

S_f=6\cdot(3\cdot3)=6\cdot9=\underline{54} \\ \\

S_j-S_f=57-54=\boxed{3}

[/tex]

The answer is 3.

Using the Quadratic Formula, which of the following is the solution to the quadratic equation x2 + 2x - 3 = 0?

x = -1, -3

x = 1, -3

x = -1, 3

x = 1, 3

Answers

Answer:

x=1, -3

Step-by-step explanation:

Four wires (all with different colors) need to be attached to a circuit board. A robotic device will
attach the wires. The wires can be attached in any order, and the production manager wishes to
determine which order would be fastest for the robot to use. Use the multiplication rule of counting
to determine the number of possible sequences of assembly that must be tested.

Answers

Answer:

24

Step-by-step explanation:

There are four options for the first wire.

After the first wire has been attached, there are three wires left that can be second.

After the second wire is attached, there are two wires that can be third.

After the third wire is attached, only one wire remains.  It has to be last.

So the number of ways is:

4×3×2×1 = 24

What is x? I tried it but I don’t think I did it right.

Answers

Answer:

x = 4

Step-by-step explanation:

When a tangent and a secant are drawn from an external point to a circle.

Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence

x(x + 5) = 6²

x² + 5x = 36 ( subtract 36 from both sides )

x² + 5x - 36 = 0 ← in standard form

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

However, x > 0 ⇒ x = 4

25 POINTS


I need help in calculating the total cost of packaging for both shapes, the image below:

Answers

Multiply your surface area by your cost/ square in. for your current cereal box to find the total cost of packaging. Then do the same with the new measurements for the new container.

Answer:

1. $21.60     2. 64.80

Step-by-step explanation:

I hope this helps :)

The mean for the set of numbers 12 10 7 8 m is 25 what is the value of m

Answers

Answer:

m = 88

Step-by-step explanation:

The mean of a set of data is calculated using the formula

mean = [tex]\frac{sumofdata}{count}[/tex]

hence

[tex]\frac{12+10+7+8+m}{5}[/tex] = 25 ( multiply both sides by 5 )

37 + m = 125 ( subtract 37 from both sides )

m = 88

an officer administrator earns 16$ an hour ,and she works 32 hours a week . what is her weekly wage

Answers

Answer: She makes $1632 a week.

Step-by-step explanation:

You multiply 16 times 32 and get your answer.

Michael starts with $45 in his savings account and adds $5 to the account each week .write an expression for the number of dollars in Michael's savings account after a week's (w is the variable). Assume no money is added or removed from the account.pls need help asap

Answers

Expression: 45+(5 x w)

Hope this helps man.

The expression for the number of dollars in Michael's savings account after w week's will be;

⇒ y = $5w + $45

Where, y is total amount and w is number of weeks.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Michael starts with $45 in his savings account and adds $5 to the account each week .

Now,

Since, Michael starts with $45 in his savings account and adds $5 to the account each week .

Hence, After w weeks the total amount (y) is,

⇒ y = $45 + $5w

Thus, The expression for the number of dollars in Michael's savings account after w week's will be;

⇒ y = $5w + $45

Learn more about the mathematical expression visit:

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How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?

Answers

Answer:one solution

Step-by-step explanation:

Given

a=42

b=34

angle A=117

using sine rule

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{42}{sin117}=\frac{34}{sinB}[/tex]

[tex]sinB=\frac{34}{42}\times sin(117)[/tex]

sinB=0.7212

[tex]B=46.161 ^{\circ}[/tex]

and A+B+C=180

[tex]C=16.839^{\circ}[/tex]

Thus 2 triangles can be formed with given value

Answer:

one solution

Step-by-step explanation:

Complete the following subtraction problems.
a. 9.5 – 3.2
b. 6.213 – 1.8219
c. 38.9 – 9.2
d. 3.76 – 2.9
e. $ 6.50 – 1.88
f. $ 6.52 – 2.37
g. $ 4.47 – 1.18
h. $ 156.25 – 83.73

Answers

Answer:

A . 6.3

B . 4.4002

C . 29.7

D . 0.86

E. 4.62

F. 4.15

G. 3.29

H. 72.5

A=6.3

B=4.3911

C=29.7

D=0.86

E=4.62

F=4.15

G=3.29

H=72.52

The results from the customer survey are being put together into different types of graph.

Help your colleagues by working out the degrees of a pie chart each result should be shown as.

Answers

Answer:

Strongly Disagree: 24°

Somewhat Disagree: 16°

Neither Agree nor Disagree: 100°

Somewhat Agree: 350/900 = 140°

Strongly Agree: 200/900 = 80°

Step-by-step explanation:

To find the degrees on a pie chart we need to find the proportion of each category over the total.

The total is: 60 + 40 + 250 + 350 + 200 = 900

The proportions of each category is going to be:

Strongly Disagree: 60/900 = 1/15.

Somewhat Disagree: 40/900 = 2/45.

Neither Agree nor Disagree: 250/900 = 5/18.

Somewhat Agree: 350/900 = 7/18.

Strongly Agree: 200/900 = 8/9.

We find the degrees by multiplying the proportions to 360 degrees as follows:

Strongly Disagree: 24°

Somewhat Disagree: 16°

Neither Agree nor Disagree: 100°

Somewhat Agree: 350/900 = 140°

Strongly Agree: 200/900 = 80°

The total should be 360°. Let's prove it:

24 + 16 + 100 + 140 + 80 = 360°.'

darr has written 60% or 12 pages of his history report their wants to figure out how many pages he needs to write their work is shown below​

Answers

The answer is 20 pages.

Hope this helps!

For this case we must make a rule of three to determine the number of pages to finish your work.

12 --------------> 60%

x ----------------> 40%

Where "x" represents the number of pages needed to complete the job:

[tex]x = \frac {40 * 12} {60}\\x = 8[/tex]

So, there are 8 pages left to finish their work. The total number of pages of the work is 20.

Answer:

You need to finish 8 pages out of a total of 20

What is the completely factored form of the expression 16X2 +18X+32

Answers

ANSWER

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

EXPLANATION

The given expression is

[tex]16 {x}^{2} + 18x + 32[/tex]

The greatest common factor is 2.

We factor 2 to obtain:

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

The expression in the parenthesis is prime.

This means that the quadratic expression in the parenthesis cannot be factored.

Hence the completely factored form is:

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

Answer:

2(8 {x}^{2}  + 9x + 16)

Step-by-step explanation:

2 is the gcf so you factor it outnow it is unfactorable

Find the output, y, when the input, x, is -1.

Y = ?

Answers

When the input is -1, the output is 3

The answer is 3

In the given graph, the value of y at x = - 1 is 7.

This means that when the input x is - 1, the corresponding output y is 7. The graph visually represents the relationship between x and y, where each point on the graph corresponds to a specific x - y pair. When x takes the value - 1, the graph intersects the y-axis at the point (- 1, 7), indicating that the output y is 7.

In summary, for x = - 1, the associated output value y is 7, as shown by the graph's plotted point.

Learn more about function here

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PLEASE HELP!!! GEOMETRY AND IDK WHAT IM DOING NEED TO PASS

In the diagram, and . What additional information is necessary to prove that ΔABC is similar to ΔFGH, using the SSS similarity theorem?




Answers

Answer:

revolvelution

Step-by-step explanation:

Answer with explanation:

To prove two triangles are similar using SSS Similarity Criterion we need to prove that sides of triangles are Proportional.

Sides of two triangles can be obtained using Distance formula.

 Coordinates of ΔABC are= A(0,0) , B(6,3) and C(-3,3)

Coordinates of ΔFGH are=F(-3,-2),G(-1,-3) and H(-4, -3)

        [tex]AB=\sqrt{(6-0)^2+(3-0)^2}\\\\=\sqrt{36+9}\\\\=\sqrt{45}\\\\=5\sqrt{3}\\\\BC=\sqrt{(6+3)^2+(3-3)^2}\\\\BC=9\\\\AC=\sqrt{(-3-0)^2+(3-0)^2}\\\\AC=\sqrt{9+9}\\\\=\sqrt{18}\\\\=3\sqrt{2}\\\\FG=\sqrt{(-3+1)^2+(-2+3)^2}\\\\FG=\sqrt{4+1}\\\\FG=\sqrt{5}\\\\GH=\sqrt{(-1+4)^2+(-3+3)^2}\\\\GH=3\\\\HF=\sqrt{(-4+3)^2+(-3+2)^2}\\\\HF=\sqrt{1+1}\\\\HF=\sqrt{2}[/tex]

Ratio of Corresponding sides are

    [tex]1.\rightarrow \frac{AB}{FG}=\frac{3\sqrt{5}}{\sqrt{5}}\\\\=3\\\\2.\rightarrow \frac{AC}{FH}=\frac{3\sqrt{2}}{\sqrt{2}}\\\\=3\\\\3.\rightarrow \frac{CB}{HG}=\frac{9}{3}\\\\=3\\\\\rightarrow \frac{AB}{FG}=\frac{AC}{FH}=\frac{CB}{HG}[/tex]

As corresponding sides are proportional, so trinagles are Similar.

 ⇒  ΔABC ≅ ΔFGH--------[SSS]

Hence proved.

In a fish tank 75% of the fish are goldfish. How many fish are in the tank if there are 24 goldfish pls answer!!!!!!

Answers

I believe it’s 8 because 24 divided 75% is 32.

To find the total number of fish in a tank where 75% are goldfish and there are 24 goldfish, solve the equation 0.75 × Total Number of Fish = 24, resulting in 32 fish in total.

The question asks about calculating the total number of fish in a tank knowing that 75% of them are goldfish, and there are 24 goldfish. To find the total number of fish in the tank, we set up a proportion based on the given information that 75% (or 0.75 when converted to a decimal) of the total number of fish equals 24 goldfish.

Mathematical equation: 0.75 × Total Number of Fish = 24.

To solve for the Total Number of Fish, we divide both sides of the equation by 0.75:

Total Number of Fish = 24 ÷ 0.75

Total Number of Fish = 32

Therefore, there are 32 fish in the tank in total.

Bao yu is completing the square to solve the polynomial epuation

X^2-x-3=0.
What should her first step be ?

Answers

Answer:

The first step would be to add 3 on both sides of the equation.

Step-by-step explanation:

Given a polynomial or a quadratic equation, the first step in completing the square is to take the constant term to the other side of the equation. In the polynomial given the constant term is -3 which implies that we can add 3 on both sides of the equation in order to eliminate this constant term from the left hand side;

x^2 -x -3 +3 = 0 + 3

x^2 - x = 3

Answer:

The first step of Bao yu is to isolate the constant

Step-by-step explanation:

For using completing the square to solve the polynomial equation, the equation should be of the type [tex]a^2 \pm 2ab +b^2[/tex] that can also be written as:[tex](a\pm b)^2[/tex]

so, for the given equation: [tex]x^2 -x -3 =0[/tex]

The first step should be to isolate the constant:

[tex]x^2 -x = 3[/tex]

Then we have to make the middle term according to 2ab where a = 1x and b= (1/2) i.e, -2(1x)(1/2) = 1x

so,by adding (1/2)^2 on both sides of equation, we can complete the formula:

[tex]x^2 -x = 3[/tex]

[tex]x^2 -2(x)(\frac{1}{2}) + (\frac{1}{2})^2 = 3 (\frac{1}{2})^2[/tex]

Solving we get,

[tex](x- (\frac{1}{2}))^2 = 13/4[/tex]

So, the first step is to isolate the constant.

geometric sequence
-48, 96, -192, 384, …

Answers

What about it? From least to greatest?

-192, -48, 96, 384

Pattern is its always multiplied by -2


What is the explicit rule for the sequence?
12,6, 0, -6, ...
an = 18 - 6n
an = 18 – 12n
an= 18 + 6n
an = 6 - 6n

help please!​

Answers

The answer is the first one. an=18-6n

because

18-6 (1) = 12

18-6 (2)=6

18-6 (3)=0

18-6 (4)= -6

and so on

hope this helps

PLEASE HELP ME FAST!

Answers

Answer:

50% chance

Step-by-step explanation:

There is a 50% chance because there in a 3/6 chance he will pick a number above 2

What is the answer to this equation? - (-5a^3)(2ab^3)

Answers

The answer is 10a^4b^3

need answer... PLZ PLZ

Answers

Answer:

Option A is correct.

Step-by-step explanation:

The credit limit is $6000

New balance after the transactions = $ 3604.50

Available credit on Nikki's card = credit limit - New balance after the transactions

Available credit on Nikki's card = $6000 - $ 3604.50

Available credit on Nikki's card = $ 2395.50

So, Option A is correct.

                                                 

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The glass was cool under her hands despite her pounding heart. She tried to slow her breathing. She was safe, at last, inside. Or was she? How had that snake gotten into the screened-in and walled-up back porch. If it could get in there, it's possible it could get inside where she was as well. Becky wasn't someone who was normally skittish about wild things. She'd handled snakes before, picked up lizards many times, caught frogs in the garage and let them go. But snakes seemed to always catch her off guard. They would turn up when least expected. She would see them out of the corner of her eye and just the surprise of it would make her jump; her adrenalin would pump, her heart would thump, and her panic would take over. What was she going to do? She couldn't just stand there waiting for the snake to decide to leave. What if it were venomous? It didn't look like a viper, but it could be. She would need to get out there soon to water the plants. 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