what is the solution for
StartFraction 1 Over x EndFraction = StartFraction x + 3 Over 2 x squared EndFraction?

Answers

Answer 1

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

We want the solution to ...

  [tex]\dfrac{1}{x}=\dfrac{x+3}{2x^2}\\\\2x=x+3\qquad\text{multiply by $2x^2$}\\\\\boxed{x=3}\qquad\text{subtract $x$}[/tex]

Answer 2

Answer:

Solution :-

We have to find the value of x in

[tex] \sf \: \dfrac{1}{x} = \dfrac{x + 3}{2x {}^{2} } [/tex]

On cross multiplication

2x² × 1 = x × (x + 3)

2x² = x² + 3x

2x² - x² = 3x

x² = 3x

x × x = 3 × x

x = 3


Related Questions

please help with this question i will mark you brainliest!

Answers

9514 1404 393

Answer:

  equation: y = 4x

  graph is attached

Step-by-step explanation:

Let y represent the cost of the peaches in dollars. Let x represent their weight in pounds. Then the relation between the two variables is ...

  cost = (cost per pound) × (pounds)

  y = 4x

__

This graphs as a line through the origin with a slope of 4. In the attached, the x- and y-axes have different scales so more of the graph can be seen.

can anyone help me with this?

Answers

Answer:

120 degrees is x

Step-by-step explanation:

because both are equal angles

btw nice Pikachu meme

f. 10 20
30 40 50
60 70
20
Answer the following questions on multiples.
a. Write down the multiples of three from 474 to 483.
b. Write down the multiples of 5 between 718 and 733.
е
are 120,725,730.
c. Which of the following numbers in​

Answers

Answer:

i don't understand the question please


Select the correct answer from each drop-down menu.
A quadrilateral has vertices A{11, -7), 89,-4), (111, -1), and D13,-4).
Quadrilateral ABCD is a
If the vertex c (11, -1) were shifted to the point c(11,1) quadrilateral Abcd would be a

Answers

Answer:

A non-equilateral rhombus.

Step-by-step explanation:

We can solve this graphically.

We start with square:

ABCD

with:

A = (11, - 7)

B = (9, - 4)

C = (11, - 1)

D = (13, - 4)

Only with the vertices, we can see that ABCD is equilateral, as the length of each side is:

AB = √( (11 - 9)^2 + (-7 -(-4))^2) = √( (2)^2 + (3)^2) = √(4 + 9) = √13

BC =  √( (11 - 9)^2 + (-1 -(-4))^2) = √13

CD =  √( (11 - 13)^2 + (-1 -(-4))^2)  = √13

DA =  √( (11 - 13)^2 + (-7 -(-4))^2) = √13

And we change C by C' = (11, 1)

In the image you can see the 5 points and the figure that they make:

The figure ABCD is a rhombus, and ABC'D is also a rhombus, the only difference between the figures is that ABCD is equilateral while ABC'D is not equilateral.

girlcome 5324611502
p:1234​

Answers

Answer:

ok then

Step-by-step explanation:

Answer:

Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

Il
11
1-42
Find the absolute value for |-43|
-1
0
43
-43

Answers

An absolute value is always a positive value

The absolute value for |-43| would be 43

An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips. a. State the hypotheses that can be used to test the assumption. H 0: p Select H a: p Select b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?

Answers

Answer:

a) The null hypothesis is [tex]H_0: p \leq \frac{2}{3}[/tex] and the alternate hypothesis is [tex]H_1: p > \frac{2}{3}[/tex].

b) The sample proportion is 0.6710.

Step-by-step explanation:

Question a:

An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips.

At the null hypothesis, we test if the proportion is two-thirds or less, that is:

[tex]H_0: p \leq \frac{2}{3}[/tex]

At the alternate hypothesis, we test if the proportion is of more than two-thirds, that is:

[tex]H_1: p > \frac{2}{3}[/tex]

b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?

359 out of 535 is 359/535 = 0.6710.

The sample proportion is 0.6710.

Which equation can be used to find the length of the missing side x?

Answers

Answer:B) x = 7 sin 65°

Step-by-step explanation:

Sine = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex]

So 7 × [tex]\frac{x}{7}[/tex] = x

WILL GIVE BRAINLIST
MATH




CONVERT EACH MEASUREMENT

SHOW STEPS ALL

18 pints to gallons

Answers

Answer:

2.25 Gallons.

Step-by-step explanation:

A pint is [tex]\frac{1}{8} th[/tex] of a gallon or 0.125.

Multiply 18 pints by 0.125.

18 · 0.125 = 2.25

To Check Work:

Divide 2.25 by 0.125 to equal 18.

[tex]\frac{2.25}{0.125} = 18[/tex]

Divide 2.25 by 18 to equal 0.125.

[tex]\frac{2.25}{18} = 0.125[/tex]

Please help me find the answer

Answers

-2x-1 fofnfofnfigmgkggkgmg

) If the pattern shown continues, how many black keys appear on a portable keyboard with 49 white keys? Suggestion: use equivalent ratios or a rate table to confirm your answer.

Answers

Answer:

35

Step-by-step explanation:

Here we see 5 black keys for every 7 white keys.

So the ratio is 5:7

If we need 49 white keys, find the amount we scale the original ratio by:

    49/7 = 7

So we are scaling by a factor of 7.

The number of black keys would be 5 * the scale of 7. = 35

So there should be 35 black keys.

Using proportions, it is found that 35 black keys appear on a portable keyboard with 49 white keys.

This question is solved by proportions, applying a rule of three.The equivalent ratio given, from the picture, is that for 7 white keys, there are 5 black keys. Hence, how many black keys will be there when there are 49 white keys?

The rule of three is:

7 white keys - 5 black keys

49 white keys - x black keys

Applying cross multiplication:

[tex]7x = 49 \times 5[/tex]

Simplifying both sides by 7:

[tex]x = 7 \times 5 = 35[/tex]

Hence, 35 black keys will appear.

A similar problem, also involving proportions, is given at https://brainly.com/question/24372153

4278206 this numbers name ?​

Answers

forty two lakh seventy eight thousand two hundred and six

Please Help! 100 Points to whoever does!

Answers

Answer:

cross multiply

(3+2) 10^3==

5*10^3

25 POINTS NEED HELP QUICKLY:

Choose the system of inequalities that best matches the graph below.



A.

B.

C.

D.

Answers

Answer: D y>2x-1

y<1/3x+1

Step-by-step explanation: I took the test and got it right

The points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities D y>2x-1 and y<1/3x+1 which is correct options (D).

What is inequality?

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given the system of inequalities as

y>2x-1 and y<1/3x+1.

To determine the solutions, you first have to graph both of the lines in the problem.

y = 2x-1 and y = 1/3x+1. Then, to shift them to inequality, you have to shade the half-plane that they represent.

The solution is the space that they have in common. In this case, it will be on the right side of the graph.

The points (0, 0) and (6/5, 7/5) are included in the shaded region they have in common.

Hence, the points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities y>2x-1 and y<1/3x+1.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

WILL GET 100 POINTS IF U ANSWER THIS!!!

If 4x=28, find the value of 29-5x.

Answers

Answer:

-6

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

Answer:

-6 (not 100% sure)

Step-by-step explanation:

4x = 28

4 × 7 = 28

so

29 - 5x

if x is 7, 5 × 7 = 35

29 - 35 = -6

What are the zeros of the function f(x) = (2x +6)(x-4)?
A. x=-6 and x= -4
B. x= 3 and x=-4
C. x = 6 and x= -4
D. x= -3 and x = 4

Answers

Answer:

2x+6=0 x-4=0 2x=-6 x=-3 x=4

Answer:

- 3 and 4

Step-by-step explanation:

A tub contain 10 litre 600 millitres of water, if 9 litre 400 millitres of water is further added to its, what will be total water in the tub?​

Answers

Answer:

If 9 liters 400 millitres of water is further added, there will be 20 liters of water in the tub.

Step-by-step explanation:

Given that a tub contains 10 liters 600 millitres of water, to determine, if 9 liters 400 millitres of water is further added to this, what will be total water in the tub, the following calculation must be performed:

1 liter = 1000 milliliters

0.6 liters = 600 milliliters

10.6 + 9.4 = X

20 = X

Therefore, if 9 liters 400 millitres of water is further added, there will be 20 liters of water in the tub.

Which graph best represents an exponential function?
O A.
O B.
C.
D.

Answers

Answer:

B

Step-by-step explanation:

that's how exponential functions are shaped

A- x=-2
B- y=4
C- y=1
D- x=1

Answers

Answer:

Your correct answer is C. y = 1

Hoped this helped!

briniliest, pls?

A small coffee shop sells bags of two types
of coffee. Bag A contains 24 ounces and
costs $15.60. Bag B contains 30 ounces
and costs $20.40. Which statement is true?


A. Bag A costs 3¢ less per ounce than Bag B.

B. Bag A costs 3¢ more per ounce than Bag B.

C. Bag A costs 2¢ less per ounce than Bag B.

D. Bag A costs 2¢ more per ounce than Bag B.

Answers

the answer to your question is B and D
To answer your question I would say most likely B & D are your best options

A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 38 miles north of the transmitter to a second city 36 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter? Hint: assume that the transmitter is at the origin. Write the equations of the line and circle.

Answers

9514 1404 393

Answer:

  63.7% or 33.35 miles

Step-by-step explanation:

The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.

The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...

  y/38 +x/36 = 1

  19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount

Then the distance from the origin to the line is ...

  d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243

The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:

  x² + (26.1243)² = 31²

  x² = 31² -(684/√685)² = 190429/685

  x ≈  16.6733

The driving distance for which the transmitter is picked up is twice this, so is ...

  2x = 2(16.6733) ≈ 33.3466 . . . miles

The total drive length is also given by the Pythagorean theorem:

  drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles

Then the fraction of the drive during which the signal is picked up is ...

  fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%

__

The signal is picked up for 33.35 miles, about 63.7% of the drive.

______

The intercept-form equation for a line is ...

  x/(x-intercept) +y/(y-intercept) = 1

The distance from (x, y) to line ax+by+c=0 is given by ...

  d = |ax+by+c|/√(a²+b²)

The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:

  c² = a² +b²

14. Which makes the number sentence true?
12 - 3= 7+_

Answers

The answer is 2 in order to make the sentence true

What is the explicit rule for the geometric sequence? 25.5, 5.1, 1.02, 0.204, ... an=25.5(15)n an=25.5(15)n−1 an=25.5(15)n+1 an=25.5(15)n+2

Answers

Given:

The geometric sequence is:

25.5, 5.1, 1.02, 0.204, ...

To find:

The explicit rule for the given geometric sequence.

Solution:

We have,

25.5, 5.1, 1.02, 0.204, ...

Here, the first term is 25.5 and the common ratio is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{5.1}{25.5}[/tex]

[tex]r=\dfrac{1}{5}[/tex]

The explicit rule for a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting [tex]a=25.5,\ r=\dfrac{1}{5}[/tex] in the above formula, we get

[tex]a_n=25.5(\dfrac{1}{5})^{n-1}[/tex]

Therefore, the correct option is B.

laraba has x naira. kunle has 15 naira less than laraba. together, the number of naira they have is:

A x- 15
B 2x
C 2x-15
D 2x+15
E 15​

Answers

9514 1404 393

Answer:

  C.  2x -15

Step-by-step explanation:

The respective numbers of naira are ...

  laraba: x

  kunie: x-15 . . . . . 15 less than laraba

Then the total is ...

  laraba + kunie = x +(x -15) = 2x -15 . . . . matches choice C

(help) what type of triangle is shown below

Answers

pretty sure it’s obtuse !

On the interval 0° < 0 < 380°, how many values of 0 satisfy the equation 2 cos0 + cos 0 - 1 = 0?

Answers

Answer:b

Step-by-step explanation:

A cylinder has a height of 10 millimeters and a radius of 3 millimeters. What is its volume?
Use - 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

 Volume  = π r ² h

Insert the given parameters and solve;

 Volume  = 3.14 x 18² x 18

 Volume  = 18312.5mm³

Answer:

282.6

Step-by-step explanation:

volume= h*(pie*r^2)

3*3=9

9*pie=28.26

10*28.6=282.6

The living room in a new house has the dimensions shown. What is the volume of the room?

Answers

Answer:

v = 220 yd²

Step-by-step explanation:

Small portion

v = 5 * 4 * 3

v = 60 yd²

Large portion

v = 9 * 6 * 3

v = 162 yd²

Total

v = 60 + 162

v = 220 yd²

Determine the area of the figure shown. Note that each square unit is one unite in length

Answers

Answer:

74 units squared

Step-by-step explanation:

we know that the area of a square or rectangle is A = L × w

so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.

so I'll start with the middle square its length is 8 and width is 8 too.

A = 8 × 8

A = 64

now we'll move on to the other small ones to the side.

the one on the right side it's length is 2 and width is 2.

A = 2 × 2

A = 4

and then the last one on the left, Length is 3, width is 2.

A = 2 × 3

A = 6

now we'll add up all of the areas to get the total area.

Total = 64 + 4 + 6

Total = 74 units squared

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams

Answers

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 90, \sigma = 2[/tex]

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

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

[tex]Z = \frac{94 - 90}{2}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 86

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

[tex]Z = \frac{86 - 90}{2}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

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