If y varies inversely as x
and x = 4 when y = 15, find y when x=6

Answers

Answer 1

Answer:

y = 10

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition x = 4 when y = 15 , then

15 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

60 = k

y = [tex]\frac{60}{x}[/tex] ← equation of variation

When x = 6 , then

y = [tex]\frac{60}{6}[/tex] = 10


Related Questions

21 11
5r1
Write the number
five million four thousand three hundred in standard form.

Answers

Answer:

5,004,300

Step-by-step explanation:

5004300
5.0043 x 10^6

Write the number in scientific notation.
98,000
X10^

Answers

Answer:

9.8x10^5 really hope this helps

Answer:

980,000,000,000,000

Step-by-step explanation:

Nikki sold 24 boxes of cookies. Nikki sold 4 more than 5 times the number of boxes of cookies Samantha sold. Exactly how many boxes of cookies did Samantha sell?

Answers

answer 4

explanation

Nikki sold 4 more than Samantha number times 5

24-4=20

so Samantha number times five equals 20

20÷5=4

Samantha sold 4 boxes of cookies

A pyramid and a cone are both 8 centimeters tall and have the same volume.
What statement must be true about the two solids?
АА
A. The area of the cross-sections of the prisms are multiples of each
other
B. The cross-sections of the prisms are the same shape.
C. The vertical cross-sections of the prisms at the same width must
have the same area.
D. The horizontal cross-sections of the prisms at the same height
must have the same area.
SUBMIT

Answers

Answer:

D

Step-by-step explanation:

The horizontal cross-sections of the prisms which is at same height as the cone should have same area.

Therefore Option D is the answer.

What is a Cone ?

A cone is a three dimensional figure that has a circular horizontal structure ,  and vertically tapering up till a point.

It is given that

A Pyramid and a cone both have same volume.

Height of cone is same as Height of Pyramid .

Volume of cone = (1/3)πr²h

Volume of a pyramid =  Area of base * h

When both the volume are equated

as height is same

The Area of the base of the cone =  Area of the base of the Pyramid

The horizontal cross-sections of the pyramid which is at same height as the cone should have same area.

Therefore Option D is the answer.

To know more about Cone

https://brainly.com/question/16394302

#SPJ2

Would you help me solve this question with steps? It would really help, and thank you.

Answers

5x + 3y = 6

Answer's too short so here's some extra text.

The equation of the line that goes through the points ( − 3 , − 9 ) and ( − 6 , − 3 ) can be written in the form y = m x + b

Answers

Answer:

[tex]y=-2x-15[/tex]

Step-by-step explanation:

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

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] which is the difference between the y-coordinates divided by the difference between the x-coordinates.

So: [tex]\frac{dy}{dx} =\frac{-9-(-3)}{-3-(-6)} =\frac{-6}{3} =-2[/tex]. Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant [tex]b[/tex].

[tex]-9=-2(-3)+b[/tex]

[tex]b=-15[/tex] - Re-arranging to get b

Now re-write the equation as we have the constants.

[tex]y=-2x-15[/tex]

The complex polygon below represents the layout of a parking lot. Find the area of the parking lot in square meters.

Answers

Answer:

The area of the parking lot is: 144cm^2

Step-by-step explanation:

Given

See attachment for polygon

Required

The area of the parking lot

The attached plot has 6 congruent triangles with the following dimension;

[tex]Base = 6cm[/tex]

[tex]Height = 8cm[/tex]

[tex]Area = \frac{1}{2} * Base * Height[/tex]

[tex]Area = \frac{1}{2} * 6cm * 8cm[/tex]

[tex]Area = 24cm^2[/tex]

The area of the 6 triangles is:

Area = 6 * Area of 1 triangle

[tex]Area = 6 * 24cm^2[/tex]

[tex]Area = 144cm^2[/tex]

What is 2√47. please help me. I need this ASAP

Answers

Answer:

13.7113092008

Step-by-step explanation:

hope this helps

Answer:

As a decimal form it is 13.71130920... If you are looking for another form just tell me I am happy to help

Step-by-step explanation:

What is the lenght of CD in triangle ABC?
A. 8V2
B. 2V8
C. 2V3
D. 64V2

Answers

[tex]8\sqrt{2}[/tex]Step-by-step explanation:

Find y!!
(Secant tangent angles )
Helpppp

Answers

Answer:

Probably 95*

Step-by-step explanation:

If you look at the lines, the angle with Y looks equal to the bottom 95* angle.

So can someone give me an example of the elimination method for math? I just need to figure out how to do it. Thanks :D

Answers

Answer:

I'm not the best in math and honestly just goo gled this one when i had to do it paste, maybe that will help ill try another way if it does not

..

Step-by-step explanation:

I WILL FIVE BRAINLESS TO THE PERSON THAT ANSWER THIS CORRECTLY



Even wants to make a kneeling pad cushion for when he is this a surface area or volume problem. How much
gardens for long periods of time. It will have the fabric will he need?
Gimensions shown. How much fabric should he buy to surface area, 336 in
cover the cushion?
surface area, 440 in 2
volume, 336 in
volume, 440 in?
12 in
2n
14 in

Answers

Answer:

440

Step-by-step explanation:

this is the formula 2(wl+hl+hw)

Answer:

44 in2 your welcom

Step-by-step explanation:

Trevor's mom bought 3 gallons of fruit juice at the store how many fluid ounces of fruit juice did Trevor‘s mom buy?

Answers

Answer: 384 fluid ounces

Step-by-step explanation:

First and foremost, when converting gallons to ounces, the conversion rate is:

1 gallon = 128 ounces

Therefore, since Trevor's mom bought 3 gallons of fruit juice, to convert it to to ounces, we have to multiply by 128. This will then be:

1 gallon = 128 ounces

3 gallons = 128 ounces × 3

= 384 fluid ounces of fruit juice.

Please help! I will mark brainliest.

Answers

Answer:

the correct answer is D 175

What is the slope of the line y +3 = (x +4)?

Answers

Answer:

m=1, hope this helps <33

Step-by-step explanation:

What would be the algebraic rule for a dilation with a scale factor of 3?

Answers

Answer: multiply each point by 3. You would need to multiply both the x and y value in the point to find the new dilated point.

Step-by-step explanation:

Find the missing number and thank for answer

Answers

Answer:

15

Step-by-step explanation:

Hope this helps

add 12 and 3 and you get 15

multiply 8 and 5 and you get 40

subtract 40 from 15 you get 24

yeeeeeeeeeeeeeeee

A news paper sold for 25 newspaper each hour. How many newspaper did it sell in 12 hours?

Answers

Answer:

it sold 300 newspapers because you needed to multiply 25x 12

Step-by-step explanation:

What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.

Answers

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{4}{6}[/tex]

[tex]\text{Probability}=\dfrac{2}{3}[/tex]

In decimal form, it can be written as:

[tex]\text{Probability}\approx 0.67[/tex]

In percentage form, it can be written as:

[tex]\text{Probability}=\dfrac{2}{3}\times 100[/tex]

[tex]\text{Probability}\approx 66.67%[/tex]

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are [tex]\dfrac{2}{3}, 0.67[/tex] and [tex]66.67\%[/tex] respectively.

2x – 5x + 16 = –3(x – 6)

Answers

Answer:

0

Step-by-step explanation:

2x – 5x + 16 = –3(x – 6)

2x - 5x + 16 = -3x + 18

-3x + 16 = -3x + 18

0x = 1

x = 0

Answer:

x = ∅

Step-by-step explanation:

2x - 5x + 16 = - 3 (x - 6)

combine like terms

- 3x + 16 = - 3 (x - 6)

distribute

- 3x + 16 = - 3x + 18

subtract 3x from both sides

16 = 18

The equation is false and so x = ∅

In the equation y = 7x + 20, what is the slope or rate of change? 27 20 H 17 J X​

Answers

Answer
The slope is 7

Answer:

7 or 07

Step-by-step explanation:

4x-3 + 3x2 + 2x + 1

what’s the answer and is it a polynomial

Answers

3x^2 + 6x - 2 hope I helped have a good day (yes)







| Juan wants to put carpeting in his living
room. The room is 15ft. by 13 ft. The
carpeting will cost $16.99 per square foot.
What is the cost of the carpeting? 2 steps
a) $195.00
b) $3,313.05
c) $2548.50
d) $3,300.00

Answers

Answer: a

Step-by-step explanation:

15.00x13.00=195

3x15.00=45.00

15x10.00=150.00

150.00+45.00=195.00

Alexis is trying to run a certain number of miles by the end of the month. If Alexis is 40% of the way to achieving her goal and she has already run 12 miles, how many miles is she trying to run by the end of the month?

Answers

Alexis has to run 30 miles overall






The number of wins in a season for 32 randomly selected professional football teams arelisted below. Construct a 90% confidence interval for the true mean number of wins in a season.




Mean(x) = sum of 32 observations / 32 = 7.97



Standard deviation( sd )=2.62



Sample Size(n)=32



Confidence Interval = [ 7.97 ± Z a/2 ( 2.62/ Sqrt ( 32) ) ] = [ 7.97 - 1.64 * (0.4632) , 7.97 + 1.64 * (0.4632) ] = [ 7.2,8.7 . What are the steps used to solve this? How did they find their Standard Deviation? Also what does the Z stand for in the confidence interval?

Answers

Answer:

A)CI 90 % = [ 7,2103 ;  8,7297]

B) s = √ ∑(xi - xp)²/n-1

c) z is the score for the given significance level in this case is 1,64

Step-by-step explanation:

For a confidence Interval of 90%, the significance level is α = 10 %

α = 0,1     α/2 = 0,05  and from z-table we find  z(c) for 0,05   z(c) = 1,64

CI 90 % = [ x  ±  z(c) * s/√n ]

CI 90 % = [ 7,97 ±  1,64 * 2.62/√32]

CI 90 % = [ 7,97 ± 0,7597]

CI 90 % = [ 7,2103 ;  8,7297]

B) To calculate the standard deviation of the sample the equation is:

s = √ ∑(xi - xp)²/n-1

xi - xp  is the difference between each one of the elements of the sample

xp is the mean or average of the elements of the sample and n is the sample size

cuantos kilometros tiene tokyo

Answers

Answer:

90 km

Step-by-step explanation:

Javeigh lives in Chicago and takes a plane to Los Angeles. When Javeigh left the house it was -12°. When the plane landed in Los Angeles, Javeigh realized it was 30° hotter! What was the temperature when Javeigh landed in Los Angeles?

Answers

answer: -12+30=18 the temperature was 18 degrees when javeigh landed in los angeles

1. The area of a figure is 32 square centimeters.
Suppose the sides of the figure are doubled. What
will be the new area of the similar figure?

Answers

Answer:

128

Step-by-step explanation:

If the area of a figure is 32 square centimeters then the length/breadth could be 8cm and 4cm or 16cm and 2cm.

Let’s assume that the the sides of the figure are doubled, if that’s the case then we would arrive at 8*2 * 4*2 or 16*2 * 2*2 in which 16*8 or 32*4 which will both result to 128 as the answer.

the area of the parking space shown at the right has an area of 156 ft squared a custom truck has regular dimensions 12.5 ft by 5.3 ft can the truck fit into the space justify your answer​

Answers

Answer:

It will fit

Step-by-step explanation:

165 / 15 = 11

So b = 11

12.5 can fit in 15

and 5.3 can fit in 11 so it will fit.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

I've eliminated A & B already, I Just need help with the volume. NO LINKS!!

Answers

Answer:

Step-by-step explanation:

Area of equilateral triangle = ([tex]\sqrt{3}[/tex]/4) * [tex]2^{2}[/tex]

1.732050 * 7 = 12.123[tex]mm^{3}[/tex]

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