If 2 is the arithmetic mean of 1-2x and
3x then the value of x is

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

Since, 2 is the arithmetic mean of 1-2x and 3x.

Therefore,

[tex] \frac{1 - 2x + 3x}{2} = 2 \\ \\ \frac{1 + x}{2} = 2 \\ \\ 1 + x = 4 \\ \\ x = 4 - 1 \\ \\ x = 3[/tex]


Related Questions

sprinter started his race slowly and then increased his speed by 14.8 miles per hour to reach a top speed of 23 miles per hour. What was the sprinter's speed before he increased his speed?

Answers

Answer:

8.2

Step-by-step explanation: i think its 8.2

i dont know tho

The sprinter's speed before he increased his speed is 8.2 miles per hour.

What is Speed?

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Here, Change in Speed = 14.8 miles per hour

          Top speed = 23 miles per hour

Actual old Speed = Top Speed - increased speed

                              = 23 - 14.8

                              = 8.2 miles per hour

Thus, the sprinter's speed before he increased his speed is 8.2 miles per hour.

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If it take Jon 10 minutes to go to work going 27 miles/ hr how long will it take him going 40 miles per hour

Answers

Answer:

I think its 6.75

Step-by-step explanation:

Find an equation of the line whose slope in 5/2 and whose x intercept is -3

Answers

Answer:

5/2 x -3

Step-by-step explanation:

Linda purchased a washing machine and dryer set for $1.299 a deferred payment plan. She needs to pay $80 per month for 6 months and the remaining balance in month 7. How much will Linda pay back in 6 months, and what will the amount of her final payment be?

Answers

Answer:

Linda will pay back $480 in 6 months. Her final payment will be $819.

Step-by-step explanation:

Drag up the correct symbol to make the following relationships true.

Answers

Answer:

1. <

2.>

3.>

Step-by-step explanation:

A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak. Which formula represents this scenario?

f(x) = 54(two-thirds) Superscript x
f(x) = 54(two-thirds) Superscript x minus 1
f(x) = Two-thirds(54)x
f(x) = Two-thirds(54)x – 1

Answers

Answer:

f(x) = 54(two-thirds) Superscript x minus 1

Step-by-step explanation:

Given that:

First peak : 36 / 54=2/3

Second peak : 24 / 36 = 2/3

The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height

Modeling this using geometric progression :

An=a1r^(n-1)

An = nth term of a geometric progression

a1=first term

r=common ratio = 2/3

n = nth term

a1=54

Substituting into the above formular :

An=54(2/3)^(n-1)

Answer: B

Step-by-step explanation:

Just took the test

Are you ready for more? A box contains 20 square files that are 2 inches on each side. How many boxes of tiles will Elena need to file the table?​

Answers

Answer:

23

Step-by-step explanation:

To find the area of a circle you need to find the radius. You find the radius by dividing the diameter by 2. So in this case, the radius is 14. Multiply 14 by pi and square your answer for the area.

can someone evaluate this expression i will give brainliest

Answers

Answer:

82

Step-by-step explanation:

[tex]4^3 + \frac{96}{8} \cdot 5 - 42 = 64 + 12\cdot 5 - 42 = 64 + 60 - 42 = 82[/tex]

Answer:

82

Step-by-step explanation:

PEMDAS

[tex]4^{3}[/tex] + [(96 ÷ 8) x 5] - 42

[tex]4^{3}[/tex] + [(12) x 5] - 42

4^3 + (60) - 42

64 + 60 - 42

124 - 42

82

hope this helps :)

Yoko is mailing packages. Each small package costs her $2.20 to send. Each large package costs her $3.40. How much will
it cost her to send 3 small packages and 1 large package?

Answers

Answer:

$10

Step-by-step explanation:

3($2.20)+3.40

6.60+3.40=10

Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, M for mushrooms, S for shrimp, E for eggs, I for Italian, and H for honey mustard. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: olives, mushrooms. Also, you will add one of following meats: shrimp, eggs. Lastly, you will decide on one of the following dressings: Italian, honey mustard.

Answers

Answer:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

Step-by-step explanation:

Given

Salad                               Meats                      Dressings

O = Olives                     S = Shrimp                 I = Italian  

M = Mushroom              E = Egg                     H = Honey mustard

To determine the sample space, we simply select one from each column.

Take for instance, a combination of Olives, Shrimp and Italian will be represented as: OSI

So, the following sample space exists:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

Consider the relationship 7r+2t=7. a. Write the relationship as a function r=f(t).

Answers

Answer: r = 2/7 -t

Step-by-step explanation: solve r from equation

7r = 2-7t l:7. r = 2/7 - t

The relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

What is the equation?

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Consider the relationship;

7r+2t=7

Substitute r = f(t) in the equation

[tex]\rm 7r+2t=7\\\\7f(t)+2t=7\\\\ 7f(t)=7-2t\\\\f(t)=\dfrac{7-2t}{7}\\\\[/tex]

Hence, the relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

Learn more about equation here;

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A company made $785 in a ticket sale they sold 100 tickets how much did the company make per ticket if each ticket cost the same price

Answers

They made 7.85 per ticket

You invested $101 and received $106.05 after one year.what was the interest rate?

Answers

The person below me is true

A store buys a toy for $4.00. The store marks every items up by 155%.
What is the selling price of the toy?

Answers

Answer:

$10.2

Step-by-step explanation:

4.00 x 155 = 620

620/100 = 6.2

6.2 + 4.00 = 10.2

4) Apply the distributive property to solve the following.
(14+ 15) - 3
Answer:

Answers

Answer:

26

Step-by-step explanation:

14+15=29

29-3=26

Answer:

26

Step-by-step explanation:

do what is in the parenthesis first which is 14+15 which = 29

then you just do 29-3 which = 26

find m<1 in the rhombus below

Answers

Answer:

[tex] m \angle \: 1 = 120 \degree[/tex]

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

[tex]m \angle \: 1 = 120 \degree[/tex]

Divide the given polynomial by given monomial.​

Answers

Answer:

i have made it in above picture

What are the coordinates for A,B and C

Answers

A is (-3,0)
B is (0,-1)
C is (1,-4)

Answer:

Step-by-step explanation:

The x value comes first. The y value second. (alphabetical order).

A (-1,4)

B (2,3)

C (3,0)

Pls help! How do i Graph 4y = -3x - 8. explain the steps

Answers

Answer:

Step-by-step explanation:

to make a graph, when you have the equations, as you do,  just make up a table of some x coordinates,  you get to choose which ever ones you want so pick some easy ones,   like - 2,-1 , 0, 1, 2  .. then put each of those numbers into your equations as the x ... one at a time, ofc,   and see what you get out for y.  then you have the y coordinate of your table  

when you have your table then you can plot each of the points,  if you use the Demos  web site graphing tool you can make the graph on your computer , or use a graph paper.    

:)

What is the value of m in the diagram?
A. 11.2
B. 20.02
C. 15.8
D. 11

Answers

Answer:

20.02

Step-by-step explanation:

Answer:

20.02

Step-by-step explanation:



Claudine has $45. She gives
2
of her money to her sister. How much money did she give her sister?
Enter your answer in the box.
$

Answers

$43 dollars your welcome

Need help with math homework

Answers

The radius for the first question is approximately 23.5

(2x-3)/4 + (2x-5)/6= 1/2

Answers

Answer:

Step-by-step explanation:

making all terms have a common denominator of 12

(3(2x-3)+2(2x-5))/12=6(1)/12 now the 12s cancel out

3(2x-3)+2(2x-5)=6

6x-9+4x-10=6

10x-19=6

10x=25

x=2.5

Can someone help me with this?!

Answers

sub in the numbers
2(5)^2 - 4(5) + 5
=50 - 20 + 5
=30 + 5
=35

Divide using a common factor of 2 to find an equivalent fraction for 2/6
A: 1/6
B: 1/3
C: 3/6
D: 2/3
I hate math

Answers

Answer:

The answer is D

Step-by-step explanation:

The Arc Electronic Company had an income of 7676 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 9090 million dollars with a standard deviation of 77 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year

Answers

Answer:

0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.

This means that [tex]\mu = 90, \sigma = 7[/tex]

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76 - 90}{7}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year

Can some please answer this

Answers

9514 1404 393

Answer:

  B  (2 violet)

Step-by-step explanation:

Let the colors be represented by their first letter. Then the balances give rise to two equation:

  o +y +b +v = r +g +b

  o +y +v = g +v

Subtracting the second equation from the first gives ...

  (o +y +b +v) -(o +y +v) = (r +g +b) -(g +v)

  b = r +b -v

Adding v-b to both sides, we have ...

  b +(v -b) = r +b -v +(v -b)

  v = r

Multiplying this result by 2, we can match the final balance:

  2r = 2v . . . . . . . choice B

Answer:

the answer is B.2 purple

What is the equation of this circle in standard form?



A.
(x + 5.5)2 + (y + 4)2 = 12.25
B.
(x − 5.5)2 + (y − 4)2 = 3.5
C.
(x + 5.5)2 + (y + 4)2 = 3.5
D.
(x − 5.5)2 + (y − 4)2 = 12.25

Answers

Answer:

D.

(x − 5.5)2 + (y − 4)2 = 12.25

If the length of AC equals 50, what is the length of the midsegment DE?
A)20
B)25
C)30
D)40

Answers

Answer:

25

Step-by-step explanation:

The mid-segment of the triangle is always parallel to the base and is half the length of the base

Factor -9y - 3 with a negative GCF

Answers

Answer:

-3(3y-1)

Step-by-step explanation:

−9y−3

Factor out 3.

3(−3y−1)

Rearrange Terms.

-3(3y-1)

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