There are two numbers the second number is 1 larger than twice the first number. The sum of the reciprocals of the number is 7/10. Find the two numbers.​

Answers

Answer 1

Let the first no be x

second no=2x+1

ATQ

[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]

[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]

On solving we get

[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]

Take it 2

First no=2

Second no=5

Answer 2

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = 2x + 1                   ...1

1/x + 1/y = 7/10           ...2

From equations 1 and 2, then we have

1/x + 1/(2x + 1) = 7/10

10(2x + 1 + x) = 7x(2x + 1)

30x + 10 = 14x² + 7x

14x² - 23x - 10 = 0

14x² - 28x + 5x - 10 = 0

14x(x - 2) + 5(x - 2) = 0

(14x + 5)(x - 2) = 0

x = 2, - 5/14

At x = 2, then the value of y is given as,

y = 2 (2) + 1

y = 5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Related Questions

Marty simplified the expression 2(x - 2) - 2(3) as 2x-8. Is he correct? Explain why or why not.

Answers

Answer: No

Step-by-step explanation:

It should be 2x-4 (2*×=2x and 2*2=4)

No, the simplified expression is not correct.

What is simplification?

Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given expression

2(x - 2) - 2(3)

so 2(x - 2) = 2x - 2(2)

= 2x - 4

and 2(3) = 6

substitute the value

2(x - 2) - 2(3) = 2x - 4 - 6

= 2x - 10

and equation of Marty is  2x - 8

Hence the equation of marty is incorrect.

Learn more about simplification;

https://brainly.com/question/28996879

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find the slope of the line, given the points (0,2) and (3.6,2) show all your work​

Answers

Answer:

There is no slope because the slope is zero. The line has no slope because it's a vertical line.

Step-by-step explanation:

Slope = [tex]\frac{2-2}{3.6-0} = \frac{0}{3.6} =0[/tex]

Slope =  0

The line has no slope.

Hey, do y2-y1/x2-x1
I believe you should get 0 as your slope.

+{-x2y+[-(x2y-2xy2+y2)+(-xy2-3y2+x2y)]-(10y2-x2y)}

Answers

Answer:

3xy² -  14y²      

Step-by-step explanation:

I hope that this is the problem

   - x²y + [ - (x²y - 2xy² + y²) + (xy² - 3y² + x²y)] - (10y² - x²y)

= - x²y + [ - x²y + 2xy² - y² + xy² - 3y² + x²y] - 10y² + x²y

Now combine like terms in the [  ].

= - x²y  + [ -x²y + x²y + 2xy² + xy² - y² - 3y² ] - 10y² + x²y

= - x²y  + [ 0 + 3xy² - 4y²] - 10y² + x²y

= - x²y + 3xy² - 4y² -10y² + x²y                      Now combine like terms

=   (-x²y + x²y) + 3xy² + (-4y² - 10y²)

=       0 + 3xy² - 14y²

=  3xy² -  14y²       or    y²(3x - 14)

If A=(1 2 3), find 2 A?​

Answers

Answer:

Remove parentheses

Step-by-step explanation:

A= 123

I’m stuck pls help thanks

Answers

Answer:

[tex](C) \ a=\frac{1}{b}.[/tex]

Step-by-step explanation:

(a+b)²=a²+b²+2;

a²+2ab+b²=a²+b²+2;

2ab=2;

ab=1

Help snsnsnansnsnsnsns

Answers

Answer:

answer is 420-69

Step-by-step explanation:

because those numbers are great

3x+5y=-9
-6x-10y=18
elimantion substuion method

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

2(3x + 5y = -9)

6x + 10y = -18

-6x - 10y = 18

0 = 0

Plz help don't understand
1 thru 4------Don't mind the other writing------

Answers

Hi there friend, I hope this helps explain a little better. Let me know if you have questions.

6m squared+ 7n= what?

Answers

Answer:

(6+7)

Step-by-step explanation:

Two​ trains, Train A and Train​ B, weigh a total of 436 tons. Train A is heavier than Train B. The difference of their weights is 242 tons. What is the weight of each​ train?

Answers

Answer:

Train A: 238    Train B: 194

Step-by-step explanation:

436-242=194-436=-238

Flip the sign for 238 and you get your answer.

(This might not be correct)

the ratio of men to women at Wal-Mart was 3 to 5. If there were 350 women, How many men were in the store?

Answers

Answer:550

Step-by-step explanation:

Answer:

550

sjjeusuwjwhhsusjsisjisjwnqbisjd

What are the solutions of the equation x4−10x2+9=0? Use u substitution.
Group of answer choices

x = 3 and x = 1

x = 3i, x = -3i, x = i, x = -i

x = -3, x = 3, x = 1, and x = -1

x = -3 and x = -1

Answers

Answer:

Step-by-step explanation:

X^4 - 10X^2 + 9 =0    This factors. It just looks odd.

(x^2 - 1)(x^2 - 9) = 0

x^2 - 1 = (x + 1)(x - 1) = 0

x = 1 and x = - 1

x^2 - 9 = (x + 3)(x - 3) = 0

x = 3

x = -3

The correct answer is C (third one down).

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Brad and Laura are playing a board game. In the game, a player rolls two standard number cubes to move his or her game piece along
a path on the board. On the first three turns in the game, both number cubes land on six each turn.
The theoretical probability of rolling a six on both number cubes three times in a row is 1/?
(are/ are not)
Based on the probability of rolling a six on both number cubes three times in a row, Brad and Laura
likely using unfair number cubes.

Answers

Answer:

1/46,656 and Brad and Laura ARE like using unfair number cubes.

Step-by-step explanation:

Find the equation of the linear function represented by the table below in slope-intercept form.
x 0 1 2 3 4
y -8 0 8 16 24

Answers

Answer:

y = 8x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table

m = [tex]\frac{8-(-8)}{2-0}[/tex] = [tex]\frac{8+8}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8

The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = 8x - 8

Ajoba and Prav drive to work. Ajoba drives 45 miles in 2.5 hours. Prav drives 74 km in 1 hour 15 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km​

Answers

Answer:

30.4 km/h

Step-by-step explanation:

Ajoba: 45 miles = 72 km ; 2.5 hours

Prav: 74 km ; 1 hour 15 min = [tex]\frac{5}{4}[/tex] hours

Ajoba's average speed: 72 ÷ 2.5 = 28.8 km/h

Prav's average speed: 74 ÷ [tex]\frac{5}{4}[/tex] = 59.2 km/h

Difference: 59.2 - 28.8 = 30.4 km/h

Does this table represent a function or not? Why or why not?

Answers

Answer:

D. No, because two of the y-values are the same

Step-by-step explanation:

The y values cannot be the same

Answer:C

Step-by-step explanation:

Malika went shopping for a new pair of pants. Sales tax where she lives is 4%. What number should she multiply the price of the pair of pants by to find the total plus tax in one step?

Answers

Answer:

[tex]\frac{104}{100}[/tex]

Step-by-step explanation:

You would multiply 104/100 to the price because it would be 100%, (basically the price), plus the 4/100, the tax.

The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11. 8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet.

Answers

Answer:he correct answers are 10.9 feet and 392.4 square feet.

Step-by-Step explanation:

Answer:

Apothem is 10.9 feet

Area of the gazebo is 392.4 feet

Step-by-step explanation:

Edge

I need help with my Geometry. Can you help?
Thanks.​

Answers

Answer:

  1.  32 units

  2.  C(-15, -4) and D(17, -4)

Step-by-step explanation:

1.

The midpoint divides CD into two segments that are the same length:

  CM = MD

  8(x -2) = 4(5x -16)

  8x -16 = 20x -64 . . . eliminate parentheses

  48 = 12x . . . . . . . . . add 64 -8x

  x = 4 . . . . . . . . . . . divide by 12

Then the length of CD is ...

  CD = 2·CM = 2(8(x -2)) = 2(8(4-2))

  CD = 32

__

2.

If we put C and D on the same horizontal line as M, their coordinates are ...

  C = M -(16, 0) = (1,-4) -(16, 0) = (-15, -4)

  D = M +(16, 0) = (1, -4) +(16, 0) = (17, -4)

Coordinates C and D that have M(1, -4) as a midpoint are ...

  C(-15, -4) and D(17, -4).

it takes 3 brick layers 2 hours to build a wall how long would it take 4 brick layers
please show steps in ratio​

Answers

Answer:

Ratios are basically proportions so in this scenario

We can make it…

brick layers : hours

We’re given the first one which is

3:2

Whilst the one we need to find is only given for brick

For the unknown hours we can make it “x”

4: x

Now we have 2 ratios

3:2

4:x

Now these are fractions and we can make them equal to each other by

3/2 = 4/x

Now cross multiply to solve for x

3x=8

2 2/3 = x

So 2 2/3 hours

algebra 2 is really difficult please help me no bogus answers please

Answers

#1

Discount is 40%=0.04x

So the function is

e(s(x))=0.04x

#2

[tex]\\ \tt\hookrightarrow( f\circ g)(x)[/tex]

[tex]\\ \tt\hookrightarrow f(x)g(x)[/tex]

[tex]\\ \tt\hookrightarrow (3x-1)(4x^2+9)[/tex]

[tex]\\ \tt\hookrightarrow 12x^3+27x-4x^2-9[/tex]

There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 3.40). What is the slope of the graph? What is the unit rate? Complete the explanation.​

Answers

Answer:

Below!

Step-by-step explanation:

The slope is 1. The unit rate is $4.75/min If the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate. $4.75 per min.

The slope of the graph resembles the unit rate.

The unit rate is the amount it cost per minute.

The graph passes through the point (1, 3.40), which means it is at x = 1, the rate is $4.75.  

I don't understand what I am supposed to do after I combine terms

Answers

I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...

Answer:

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

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]

Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions

4 - 24x + 21 = - 54x + 5 , that is

25 - 24x = - 54x + 5 ( add 54x to both sides )

25 + 30x = 5 ( subtract 25 from both sides )

30x = - 20 ( divide both sides by 30 )

x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]

Salut comment ça va? This is french.

Answers

ouiiii niceeeee///:////
Bonjour, je vais très bien, merci. Comment ça va?
translation: hello, i am very well, thank you. how are you?

4√3⋅10√12⋅√6⋅√2?
plz help!!! for algebra.

Answers

Answer:

480[tex]\sqrt{3}[/tex]

Step-by-step explanation:

4[tex]\sqrt{3}[/tex] · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] · [tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 4 · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex][tex]\sqrt{2}[/tex]

= 40 · 2 · 3 · 2 · [tex]\sqrt{3}[/tex]

= 480[tex]\sqrt{3}[/tex]

help help help plssss

Answers

Answer:

6.5

Step-by-step explanation:

bc I just no plus or it's 5

Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round 2 places past the decimalI have no clue how to do financial math

Answers

Answer:

Step-by-step explanation:

I’ll give brainliest, thanks and 5 stars.

Answers

Answer:

First, you can break 6 into 3 * 2.

[tex]\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}[/tex]

Then, cancel out the common factor of [tex]3^3[/tex]:

[tex]\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}[/tex]

Next, cancel out the common factor of [tex]2^4[/tex].

[tex]\frac{3*2^4*15^3}{2^4} =3*15^3[/tex]

You can evaluate it as 10125 if you'd like.

Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the
point.

Answers

Answer:

(3,4)

Step-by-step explanation:

There are rules for rotations that make it really easy to find the images of any given point for any given rotation. In this case, we have an 180° clockwise rotation, and to find the image of any point rotated this way, we just have to make the x-values and y-values negative.

In this case, we have (-3,-4). Let's make each value negative: (-(-3), -(-4)). Our negative signs cancel out and we get (3,4). And that's the image of the point (-3,-4) at a 180° clockwise rotation about the origin.

Hopefully that's helpful! :)

The University of Washington Huskies tried throwing one of the longest Hail Marys in history—about 73 yards! For this pass, the ball's height over time was modeled by the function h(t) = -16t2 + 64t + 6, where was the height in feet and was the time in seconds. a) How long does it take for the football to reach its maximum height? b) What is its maximum height? c) How long will the football be in the air? It takes a good college football player about 8 seconds to run 73 yards. If the quarterback waited 4 seconds after the snap, does the receiver have a chance of catching the ball?

Answers

Answer:

See below

Step-by-step explanation:

Given function:

h(t) = -16t² + 64t + 6

a)

The maximum height is the vertex. The x-coordinate of the vertex is -b/2a:

t = - 64/2*(-16) = 2

It takes 2 seconds

b)

Maximum height is at vertex:

h(2) = -16(2²)  + 64(2) + 6 = 70 yd

c)

The ball is in the air between zero's of the equation or approximately double the time it reaches the vertex:

2*2 = 4 seconds

The receiver doesn't have a chance to catch the ball, since the ball is only 4 seconds in the air.

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