If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5

Answers

Answer 1

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

where k is a constant .

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]


Related Questions

PLEASE HELp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

you have to divide.....hope this helps!

To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?​

Answers

Answer:

1

Step-by-step explanation:

Answer:

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

Step-by-step explanation:

Set up a table (attached) that summarizes and organizes the data.  Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school.  We know that distance = (speed)*(time).

The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.

                                TRIPS    

                 1     2  

House/Shed A 6     18   km/hr

Shed/School B 15     27   km/hr

              18'30"    10'10"   min

                18.5     10.16   min    

              0.308   0.169   hr        [Convert the minutes into hours]

[The distance divided by the speed will give the time required for each segment, A and B].  

Trip 1:  1)  A/6 + B/15 =   0.308    

Trip 2: 2)  A/18 + B/27 = 0.169

Trip 1:  A/6 + B/15 = 0.308

            A + (6/15)B = 1.85    [Multiply each side by 6]

              A = 1.85 - (6/15)B     [Rearrange]

             A = 1.85 - (0.4)B       [This will be the defination of A we'll use in the second equation]

Trip2:     A/18 + B/27 = 0.169

    (1.85 - (0.4)B)/18 + B/27 = 0.169   [Use A= 1.85 - (0.4)B from above]

   27(1.85 - 0.4B)/18 + B = 27*(0.169)   [Multiply each side by 27]

   1.5*(1.85-0.4B) + B = 4.58

   2.78 - 0.6B + B = 4.58

    0.4B = 1.85

                                      B = 4.47 km

Now use  B = 4.47 km in either original equation to find A.

A/18 + B/27 = 0.169

A  + (18/27)B = 18*(0.169)   {Multiply both sides by 18]

A  + (0.67)B = 3.042

A  + (0.67)(4.47) = 3.042

A  + (2.98) = 3.042

                                    A = 0.062 km

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

How do you solve the following equation: n+2*0.5n+1

Answers

Answer:

[tex]n=-\frac{1}{2}[/tex]

Step-by-step explanation:

The order of operators is the next:

ParenthesisExponentsMultiplication and divisionAddition Subtraction

So the first step is multiply and later add up the rest terms ([tex]0.5 = \frac{1}{2}[/tex]).

[tex]n+\frac{2}{2}n + 1 = 0\\n + n + 1 = 0\\2n = -1\\n = -\frac{1}{2}[/tex]

answer: n = -1/2
multiply first, add n terms
(2n + 1 = 0)
2n = -1
n = -1/2

-7(11) is -77 or 81 ​

Answers

Hi there!

-7(11) is equivilent to -7*11 which equals -77.

The answer is -77
This so because 7x11=77, bug the negative would make it -77

Write an equation that represents this question below ...

Answers

Where’s the question????

After solving the next three terms in
5120, 1280, 320, 80, …
How could you find the explicit rule?

Answers

a (n)=a1 × r^(n-1)

a1=5120

a2=1280

a3=320

a4=80

-->a2/a1=1280/5120=0.25

-->a3/a2=320/1280=0.25

-->a4/a3=80/320=0.25

ration(r) =0.25

a(n)=a1 × r^(n-1)

a (5)=5120×0.25^(5-1)

a (5)=5120 × 0.25 ^(4)

a (5) = 5120 × 0.00390625

a (5) = 20

Pls helppp it’s due soon!
Will give brainliest if your answer is right

Answers

Answer:

19.4

Step-by-step explanation:

This problem can be simplified to finding the diagonal of a rectangle of sides 19 and 4. Using the Pythagorean theorem gives FH = √(19^2 + 4^2) = 19.4

7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;

Answers

here you go! i hope it helps


Find the area of the sector

Answers

if r = 15

A≈706.86

Steps:

A = πr²=π·15²≈706.85835 ( round to the nearest tenth )

= 706.86

Circle Formula:

Diameter of a Circle D = 2 × r

Circumference of a Circle C = 2 × π × r

Area of a Circle A = π × r2

If you have a line with a Slope of -4 and a y-intercept of -2, what would be the equation of that line?

Question 6 options:

y = -4x + 2


y = -2x - 4


y = -4x - 2


y = -2x + 4

Answers

Answer:

y = -4x - 2

Step-by-step explanation:

y = mx + b where

m = slope, and b = y-intercept

slope = -4 = m

y-intercept = -2 = b

y = mx + b

y = -4x - 2

Answer: y = -4x - 2

sir? sir? are u there? help me -_-

Answers

Answer:

a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.

However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]

b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.

However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]

Anybody know the answer and how did you get it

Answers

Answer:

so I'm guessing you're solving for x

because angle 2 is the vertical angle to angle 3 so this means that they are congruent

4x-26=3x+4

4x-3x=4+26

x=30

What is 5,000 x 1,000

Answers

5000 000
Five million

Answer:

The Answer is 5,000,000

Hope this helps!!

If Val walls 1/2 mile for every 3/4 mile she runs if she walked 2 miles how many miles did she run

Answers

Answer: She ran 3 miles

Explanation:
1/2 miles walked) • X = (2 Miles walked)

X= 4

4 • 3/4 miles ran = 12/4 miles ran = 3 miles ran.

HELP PLEASE, LOOK AT PICTURE FOR WHOLE PROBLEM.. PLEASE ANSWER QUICK I DON'T HAVE MUCH TIME LEFT TO ANSWER

Answers

Answer:

2[tex]\sqrt{8}[/tex]

Step-by-step explanation:

According to Euclidian theorem :

h^2 = 4*8

h^2 = 32 find the root for both sides

h = 2[tex]\sqrt{8}[/tex]

What percent of 80 is 112? Please hurry!

Answers

Answer:

140

Step-by-step explanation:

Here you go. Hope it helps you

(04.04)

Which graph represents a linear function? (4 points)

Group of answer choices

A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.

A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5

A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides

A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.

Answers

A linear function is one of the most simplest form of functions. As the name "linear" indicates, a linear function is simply a line, more precisely a straight line.

So it is in the form of f(x) = ax + b.

Lets now check the possible answers : (second answer :) "a curved line", not correct.

(third answer:) "a parabola", this is not a straight line, so not correct.

(fourth answer:) "a wavy line", not a straight line, so not correct.

The only correct answer is the first one : a line passing through the x axis at negative 2 and the y axis at negative 6.

A triangle has two sides of length 15 and 1. What is the largest possible whole-number length for the third side?

Answers

Answer:

15

Step-by-step explanation:

The conditions for triangle side lengths are:

A + B > C

A + C > B

B + C > A

The reverse is true too, of course:

A < B + C

B < A + C

C < A + B

Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )

With those in mind, if 15 and 1 are A and B:

15 + 1 > C

15 + C > 1

1 + C > 15

And those can be simplified to these:

C < 16

C > -14 ( can be ignored because of the next one)

C > 14

And finally:

14 < C < 16

The largest whole number that fits those requirements is 15.

A rope is stretched tight between the tops
of two flag poles. One pole is 16 m tall, the
other is 8 m tall and they stand on level
ground 6 m apart. Find the rope's length.
m

Answers

Answer:

10 m.

Step-by-step explanation:

We have a triangle with hypotenuse h m (the rope's length) and one leg 16 -  8  = 8 m and the other 6 m.

So h^2 = 8*2 + 6^2 = 100

h = 10 m.

Cuanto es 1/3 + 5/8 + 1/2

Answers

Answer:

35/24

Step-by-step explanation:

1/3 + 5/8 + 1/2

8/24 + 15/24 + 12/24

Hola!

Primero, debes asegurarte de que todas las funciones compartan el mismo denominador.

4(1/2)= 4/8

1/3 + 5/8 + 4/8

1/3 + 9/8

Ahora necesitamos encontrar un denominador común de 3 y 8.

El mínimo común múltiplo de 3 y 8 es 24.

8(1/3)= 8/24

3(9/8)= 27/24

8/24 + 27/24= 35/24

Entonces tu respuesta es 35/24!!

Lo siento si mi español no es bueno.

Solve the system of equations 5x - y = -9 and 3x + 4y = 13 by combining the
equations.

Answers

Answer:

2+2 =22. ‍♀️ ................

Find the slope of the line through each pair of points.
(-10,8), (5,-5)

Answers

Answer:

-0.86667

Step-by-step explanation:

m = -13 / 15 = -0.86667

please give me the answer

Answers

Answer: i’m pretty sure it’s a, if not you can delete this message.

Answer:

B (1.5,2)

Step-by-step explanation:

(4-1)/2,(0+4)/2=

3/2,4/2=

(1.5,2)

WILLL GIVE POINTS
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .
The points of the polygon =(3,3) (0,3) (6,-6) (9,6)

Answers

Answer:

(1,1) (0,1) (2,-2) (3,2)

Step-by-step explanation:

So with dilation you have to mulitply thE numbers by the one said in the problem which Was 1/3. So after doing that I got those coordinates.

Find an equation of the circle that has center (-6,2) and passes through (1,-2).

Answers

Answer:

(x+6)^2+(y-2)^2=65

Step-by-step explanation:

Answer:

Should be (x+6)^2+(y-2)^2=65

the number after the carrot represents an exponent

hope it helps

Mary earns a weekly base salary of $180. She also receives $25 per item sold. This week
she receives a salary of $530. How many items did she sell?

Answers

Answer:

She sold 14 items

Step-by-step explanation:

530 - 180 = 350

350 / 25 = 14

The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean Mu and standard deviation Sigma. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47. 5% 68% 95% 99. 7%.

Answers

I think it’s 68 percent

A person travels 7/9 of a mile in 1/4 of an hour, how far will he travel in 1 hour

Answers

Answer:

If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.

Step-by-step explanation:

what are some different ways to write c=2.95g

Answers

You could write it as 0.00295kg, or 0.006503637 pounds. Depends on what your looking for.

The ratio of male to female bats under the Congress Avenue Bridge in Austin, Texas is 5/4. If you were to see 486 bats fly out from under the bridge, how many would you expect to be female?​

Answers

Answer:

216 bats will be female

Step-by-step explanation:

First, you set it up for a cross multiply

9        =        486

4                    x

We use nine because the ratio of male to female is 5/4 so the ratio of total to female is 9/4. Cross multiply.

   9x = 1944

    x= 216

So 216 bats will be female

   If you liked this, please give me brainliest.

                                                       Thankyou

Other Questions
A 40-year old taxpayer has owned a Roth IRA for more than 5 years. A $10,000 distribution will be considered nonqualified if the distribution was ______. An investor buys a share of stock for $40 at time t = 0, buys another share of the same stock for $50 at t = 1, and sells both shares for $60 each at t = 2. The stock paid a dividend of $1 per share at t = 1 and at t = 2. The periodic money-weighted rate of return on the investment is closest to: Which of the following, if eliminated, would completely prevent the greenhouse effect from occurring on earth? A. Atmosphere Clouds B. Fossil fuels C. Acid rain D. The ozone layer E. Chlorofluorocarbons what do you do if you add a bit too much solvent when filling the volumetric flask to the mark What is the value of c?56.70 PLS I NEED HELP WITH THIS A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s. It is then turned off and coasts to a stop in an additional 40 s. In the one minute of rotation, through how many revolutions did the fan turn?. Bank assets tend to have _____________ maturities and _____________ liquidity than/as bank liabilities. A. Longer; greater B. Longer; lower C. Shorter; lower The sculptor Gianlorenzo Bernini created Ecstasy of St. Theresa, a centerpiece of a chapel in Rome. It is typical of which style 4. Solve the equation.5n + 1182n=(type the fraction as a/b with no spaces) Solve for xx+0.15x=3.45 given m||n, determine the value of x (4x-7) (3x+9) Should people in life-or-death situations be held accountable for their actions?(use the hunger games as an example) Julius a young father has long term goal of getting a certificate in plumbing in one year.with the certification he will get more work and receive a higher pay that could help him send his son to a pre school what short term goals should julius have to help him achieve his long term goal? plz help! What are the pros and cons of using an autobiography to learn about history? What's the length of an arc with a central angle of 100 and a radius of 2 inches?A) 10pi/9 inchesB) 5pi/3 inchesC) 100pi/3 inchesD)40pi/3 inchesWill make brainly who answers correctly. Help ME ASAP Zach solved the problem 124.8 / 24 = 5. Complete the following model with partial products to check Zachs work with multiplication. Part ADrag values to the boxes to complete the partial products. Not all choices will be used.{ 0.4 }{ 0.8 }{ 2 }{ 4 }{ 8 }{ 10 }{ 20 }{ 100 }The product for A=The product for B =The product for C =The product for D =Part BChoose the words to complete the statementZach's work is ______because the total of the partial products is _______ as the dividend. What are the main principles of communism in animal farm? Please please help please help me help please help me what is the domain and range?