Should be easy points!
The sum of 2 times a number and twice its reciprocal is 20/3. Find the numbers.


Please show work because I am so lost.

Answers

Answer 1

Answer:

Let x represent the number from the sentence.

Step-by-step explanation:

2(x) + 2(1/x) = 20/3

2x + 2/x = 20/3

multiply both sides of the equation by 3x

6x + 6 = 20x

6x - 20x + 6 = 0

6x - 18x - 2x + 6 = 0

6x(x-3 -2(x-3) = 0

(6x-2 = 0 or x-3 = 0

6x = 2 or x = 3

x = 2/6

x = 1/3

Since x represented the number

Therefore x = 1/3 or 3


Related Questions

What is the solution for 2X- 5=7

Answers

Answer:x = 6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Add  5 to both sides of the equation:

2x -5 = 7

2x -5 +5 =7 +5

Simplify:

2x=12

Divide both sides of the equation by the same term:

2x = 12

2x/2 = 12/2

Simplify again:

x=6

Answer:

x = 6

Use the product-to-sum identities to rewrite the following expression as a sum or difference.

2cos(2x)cos(2x)

Answers

Answer:

= cos4x

Explanation:

cosAcosB = [cos(A-B)+cos(A+B)]

Given: 2cos(2x)cos(2x)

= 2[cos(2x-2x)+cos(2x+2x)]

= 2cos4x^2

If the Semi Monthly is $4,000
A) How much is the Annual?
B) How much is the Bi Weekly?
C) How much is the Monthly Pay?
D) How much is the Weekly Pay?
E) How much is the Hourly Pay?
Im at a loss on how to answer this I reallyy need help

Answers

Disclaimer- this is all assuming that "semi monthly" means twice a month. if it doesn't, ignore this answer

A- if semi monthly is half a month, then 4 times 2 is 8, and 8 times 12 is 96,000.

B- If there are 4 weeks in a month and 4000$ accounts for half of that pay, then the weekly pay is 2000, making the bi-weekly pay 1000.

C- The monthly pay is 8,000$ because 4,000 x 2 is 8,000

D- The weekly pay is 2,000$ because the monthly pay is 8,000$ and there are 4 weeks in a month

E- I do not know the hours at this job and therefore cannot answer this

Two statements are missing reasons.What reason can be used to justify both statements 2 and 3?

Answers

Where’s the questions?

1) Write the equation parallel to the following equations that would go through (2,7):
a) Y = 3x - 2
b) Y = % x + 3
c) Y = x - 6
d) Y + 2x = 8

So 1 equation per letter

Answers

Note: Your option 'b' is somewhat ambiguous, so I am assuming you meant to write the equation y=2x+3 for the 'b' option.

Answer:

the equation y = 2x + 3  has slope m=2 and the y-intercept is 3, and also PASSES through the point (2, 7).

Step-by-step explanation:

An equation parallel to the given line equation will have the same slope.

Given the point (2, 7) from which the equation passes through.

so checking all the equations in the options to check whether any equation passes through or not.

Checking the option 'a':

y = 3x - 2

Putting (2, 7)

7=3(2)-2

7=6-2

7=4

L.H.S is not equal to R.H.S

Therefore, the option 'a' is NOT correct.

So, the equation y = 3x - 2 will NOT PASS through the point (2, 7)

Checking the option 'b':

y = 2x + 3

Putting (2, 7)

7=2(2)+2

7=7

7=7

L.H.S is equal to R.H.S

Therefore, option 'b' is the CORRECT option.

So, the equation y = 2x + 3 will PASS through the point (2, 7)

Checking the option 'c':

y = x-6

Putting (2, 7)

7=2-6

7=-4

L.H.S is not equal to R.H.S

Therefore, the option 'c' is NOT correct.

So, the equation y = x-6 will NOT PASS through the point (2, 7)

Checking the option 'd':

y + 2x = 8

Putting (2, 7)

7+2(2)=8

7+4=8

11=8

L.H.S is not equal to R.H.S

Therefore, the option 'd' is NOT correct.

So, the equation y + 2x = 8 will NOT PASS through the point (2, 7)

Therefore, considering the above analysis, we conclude that:

Option 'b' is the CORRECT option.

So, the equation y = 2x + 3 will PASS through the point (2, 7).

also

The slope-intercept form of the equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Therefore, the equation y = 2x + 3  has slope m=2 and the y-intercept is 3, and also PASSES through the point (2, 7).

Which is a correct frost step for solving this equation

Answers

Answer:

you have to post the equation

Step-by-step explanation:

2h + (6 + h) + 6 ∙ 2

Answers

3h+18 is the correct answer:)

Answer: 3h+18

Step-by-step explanation:

2h+6+h+12

add like terms (add all the the h’s) which equals 3h and add 6+12 which equals 18 so your answer is 3h+18

What are the intercepts of –3x + 5y – 2z = 60? (–3, 0, 0), (0, 5, 0), (0, 0, –2) (–180, 0, 0), (0, 300, 0), (0, 0, –120) (–20, 0, 0), (0, 12, 0), (0, 0, –30) (–60, 0, 0), (0, 60, 0), (0, 0, –60)

Answers

Answer:

(-20, 0, 0)

(0, 12, 0)

(0, 0, -30)

Answer:

(-20, 0, 0)

(0, 12, 0)

(0, 0, -30)

For a party, you buy 4 3/8 lbs of salt water taffy. If 150 people are attending, how much salt water taffy does each person get?

Answers

Answer:

..

Step-by-step explanation:

Y is directly proportional to x when x=540 y=10 calculate the value of y when x=540.

Answers

Answer:

Step-by-step explanation:

Y should still be 10 since x is 540

1 and 2, please and thank you!

Answers

1 is a two is f......

Translate the phrase into an algebraic expression.
The product of c and 2

Answers

Answer:

c+2

Step-by-step explanation:

Im not 100% sure I understand what you mean by this but anytime it says and in a statement it means + so c+2 would be the answer.

What is the equation of a hyperbola with a = 5 and c = 15? Assume that the transverse axis is horizontal.

Answers

Answer:

[tex]\frac{x^2}{25} -\frac{y^2}{200} =1[/tex]

Step-by-step explanation:

Recall that the equation of  hyperbola centered at the origin with transverse horizontal axis has the general form:

[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} =1\\and\,\,\,\, with\\c=\sqrt{a^2+b^2}[/tex]

since we know that a = 5 ,and c = 15,we can solve for b:

[tex]15=\sqrt{5^2+b^2} \\15^2=25+b^2\\b^2=200\\[/tex]

then the equation of the hyperbola becomes:

[tex]\frac{x^2}{5^2} -\frac{y^2}{200} =1\\\frac{x^2}{25} -\frac{y^2}{200} =1[/tex]

Simplify the followingexpression (-5)(-3)(4)

Answers

Your answer would be 60.

A negative times a negative equals a positive. This means that -5 x -3 = 15.

Then you multiply that by four and get 60.

Hope this helps and have a nice day!!

For Carl's birthday, his grandparents gave him a $50 gift card to a local movie theater. The theater charges $6 admission for each movie. How can Carl use an arithmetic sequence to determine the value left on his card after each movie he sees?

Answers

Answer:

50 - 6x = leftover value

Step-by-step explanation:

X is the amount of movies he has seen (pays $6 for each movie)

Carl can use the function → a(n) = 56 - 6n determine the value left on his card after each movie he sees.

We have Carl's grandparents who gave him a $50 gift card to a local movie theater. The theater charges $6 admission for each movie.

We have to check how can Carl use an arithmetic sequence to determine the value left on his card after each movie he sees.

What is an Arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which every term (except the first term) is obtained by adding a constant number to the previous term is called an arithmetic sequence.

According to the question, we have -

Amount in Gift card = $50

Charges for Admission to every new movie = $6

Therefore, we can create a arithmetic sequence with -

a = 50  and  d = -6

Therefore -

a(n) = a + (n - 1)d

a(n) = 50 + (n - 1)(-6)

a(n) = 50 - 6n + 6

a(n) = 56 - 6n

where n denotes the number of movies he watch and a(n) is money remained after watching the movies.

Hence, Carl can use the function a(n) = 56 - 6n determine the value left on his card after each movie he sees.

To solve more questions on Arithmetic sequences, visit the link below-

https://brainly.com/question/21406026

#SPJ2

please answer see the image below

Answers

Answer:

64.8

Step-by-step explanation:

total area = rectangle + semi circle

                = (11 x 5) + (1/2 * π * 2.5²)

               = 55 + 9.8

               = 64.8 sq. units

64.8 I believe sorry if I am wrong

what is the decibel level of the noise from a fire alarm with intensity 10^-1 watts per square inch

Answers

Answer:

110 db

Step-by-step explanation:

number 7
solve for c

Answers

Answer:

60

Step-by-step explanation:

Since equalateral. The angles are the same.

Which of the following represent functions that have the same rate of change?

Answers

The answers are A and C.

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Question Progress
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10
Expand and simplify 2(x + 7) + 3(x + 1)
+​

Answers

Answer:

I don't know how to expand but I can simplify please mark me

Step-by-step explanation:

2(x + 7) + 3(x + 1)

=2x + 14 + 3x + 3

=2x-3x + 3-14

=x+11

Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).

Answers

Answer:

[tex]P(x,y) = (0,\frac{11}{5})[/tex]

Step-by-step explanation:

Given

[tex]A = (-2,1)[/tex]

[tex]B = (3,4)[/tex]

[tex]m:n = 2:3[/tex]

Required

Determine the coordinates of P

The coordinate of a point when divided into ratio is:

[tex]P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

Where

[tex](x_1,y_1) = (-2,1)[/tex]

[tex](x_2,y_2) = (3,4)[/tex]

[tex]m:n = 2:3[/tex]

This gives:

[tex]P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})[/tex]

[tex]P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})[/tex]

[tex]P(x,y) = (\frac{0}{5},\frac{11}{5})[/tex]

[tex]P(x,y) = (0,\frac{11}{5})[/tex]

Rewrite 1/4 / 1/3 as a unit rate

Answers

Answer:

0.25 and 0.33?

Step-by-step explanation:

What is the slope of the line in the graph?

Answers

Answer:

the slope is 1

Step-by-step explanation:

i cant tell if the y-intercept is 1 or -1

When the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16-foot shadow. How tall is a person if he casts a 4.4-foot shadow at the same time? The person is blank feet tall. Enter only the number.

Answers

Answer:

The person is 5.28 feet tall

I really need help with this math work

Answers

Answer:

Step-by-step explanation:

The graph below is how you label the points, where to put them and the line that you need to draw to get the points.

Everything is laid out for you to copy. Start at the lower right and go to the to the upper left on your table.

What's 1+1? PLZ answer.

Answers

Answer:

1 + 1 = 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1+1 =2

The distance between (2, 3) and (6, -2) is

Answers

Answer:

(4, -5) should be the correct answer

Step-by-step explanation:

I hope this helps, please mark brainliest if correct!

Two cards are randomly pulled out of a standard pack of 52 cards. What is the probability
that both are face cards?
A. 9/169
B. 12/221
C. 33/676
D. 11/221

Answers

Answer:  D.  11/221

========================================================

Work Shown:

For any given suit, there are 3 face cards: Jack, Queen, King.

There are 4 suits, leading to 4*3 = 12 face cards out of 52 total.

The probability of pulling out a face card is 12/52.

After that card is selected, we have 12-1 = 11 face cards left and 52-1 = 51 cards left overall. This is assuming a replacement is not made, or the card is not put back.

The probability of getting another face card, given the first selection was a face card, is 11/51.

Multiplying the two fractions gives:

P(2 face cards) = P(1st facecard)*P(2nd facecard given 1st facecard)

P(2 face cards) = (12/52)*(11/51)

P(2 face cards) = (12*11)/(52*51)

P(2 face cards) = (3*4*11)/(13*4*3*17)

P(2 face cards) = (11)/(13*17)

P(2 face cards) = 11/221

If a carton of a dozen eggs cost $3.99 how much would 3 eggs be?

Answers

Three eggs scost 0.9975
Question:
If a carton of a dozen eggs cost $3.99 how much would 3 eggs be?

Answer:

Someone help me please


Express the cosine of < W as a ratio of the given side lengths.

Answers

cosine of W is 5/13
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