Suppose that y varies directly with x and y=12 when x=-2. What is x when y=-6
Please help me!!

Answers

Answer 1

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

You can work this several ways.

1) Consider the factor that gets you from the y-value of the known pair to the y-value of the unknown pair. Here, that factor is -6/12 = -1/2.

Then the unknown value of x is the known value multiplied by that same factor:

  x = (-1/2)(-2)

  x = 1

__

2) You can write the equation for a "varies directly" relationship and solve for the constant of proportionality. Then you can use that equation to find the unknown value of x.

  y = kx . . . . . . . . . . . . . . y varies directly with x

  k = y/x = 12/-2 = -6

Now we know ...

  y = -6x

Filling in the new value for y, we have ...

  -6 = -6x

  1 = x . . . . . . divide by -6

__

3) You can write a proportion. Since we want to find a value for x, it is convenient to put that in the numerator.

  -2/12 = x/-6

Multiplying by -6, we get ...

  (-6)(-2)/12 = x = 1


Related Questions

a cylinder made of metal has radius of 18 cm and height 40 cm if melted how many smaller cylinders of radius 2 cm and height 5 cm can be made

Answers

Answer:

648

Step-by-step explanation:

Volume of a cylinder =Pi× r²×h

volume of the cylinder before melted

v=Pi×18²×40

v=40715.04cm³

Volume of the smaller cylinder

v=Pi×2²×5

v=62.83

40715.04÷62.83

=648.019

=648 small cylinder can be made

The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m?​

Answers

Answer: 42

Step-by-step explanation:

The required perimeter of the regular hexagon is 42 m.

Given that,
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m is to be determined.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

here,
the perimeter of the regular hexagon is given,
P = 6s
Put s = 7
P = 6(7)
p = 42

Thus, the required perimeter of the regular hexagon is 42 m.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ2


not sure need help ​

Answers

Answer:

0.0078 or 7.8*10^-3

Answer:

7.8 * 10 ^-3

Step-by-step explanation:

( 1.3* 10 ^-5) ( 6 * 10^2)

Multiply the numbers

1.3 * 6 = 7.8

Multiply the exponent terms, remembering we add the exponents, when we multiply

10 ^ -5 * 10 ^2 = 10 ^( -5+2) = 10 ^-3

Put them back together

7.8 * 10 ^-3

Since this is in scientific notation, we are don

what is -3/8 ÷ 7/12 help

Answers

Answer:

-9/14

Step-by-step explanation:

Have a good day <3

Answer:

-9/14

Step-by-step explanation:

-3/8 ÷ 7/12

Flip the second fraction and multiply

-3/8 x 12/7

You can cross-simplify

-36/56

-9/14

Hope this helped!

Where do you put the parentheses in this equation
9+5÷5+2
Value:2

I am not good at math and this is for my 5th grader

Answers

Answer:

here we go.....

Step-by-step explanation:

9+5 equals14 5 +2 equals 7

14 divided by 7 equals 2

hope you get it correct

The Census Bureau wants to conduct a survey to determine the percentage of adults that buy clothing online. How many adults do they need to survey in order to be confident that the sample proportion is in error by no more that 2 percentage points.

Answers

Answer and explanation:

Please find attached answer and explanation

I will give you 25 points help please

Answers

Answer:

horizontal 2 units to the right, vertical translation 3 units up, vertical stretch by a factor of 4

can someone solve this please 5(5t + 1) = 25t – 7

Answers

It’s either no solution or just false depending on the answer choices you have

solving steps:
5(5t+1)=25t-7
25t+5=25t-7
5= -7

which is not true

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 =1/4 (x – 12). What
is the standard form of the equation for this line?

Answers

Answer: y=1/4x - 2

Step-by-step explanation: The easiest way to solve this would be to graph it in point-slope form then find the slope and y-intercepts. Try using desmos for that method. There are multiple ways to convert point-slope to standard, however, and I would suggest talking to your teacher to see which method s/he prefers you use. Let me know, and I can help you more if you need it.

Hope this helps,

Lacia :))

Use the graph below to answer the following question:

What is the average rate of change from x = −4 to x = 1?
A.-3
B.-1
C.0
D.1

Answers

Answer:

The answer is B.-1

Step-by-step:

When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.p explanation:

wilma buys a new game that is priced at 43.89. She gets successive discounts of 15% followed by 5% off on the game. The purchase price of Wilma's game is what percentage of the original price?

Answers

Answer:

C

Step-by-step explanation:

Edge 2020

Answer:

c edg

Step-by-step explanation:

Which expression shows the COMMUTATIVE PROPERTY of addition?
A. 3 + 5 + 2 = 3 + (5 + 2)
B. 3 + 5 + 2 = 8 + 2
C. 3 + 5 + 2 = 5 + 2 + 3
D. 3 + 5 + 2 = 10

Answers

Answer:

C

Step-by-step explanation:

Commutative property means to add in a different order.

g(x)=x^3
f(x)=(x+6)^3 -3
Ring to the equations above the graph of f(x) would be obtained from the graph of g(x) by translating the graph of g(x)

Answers

A, left 6 Units and down 3 units

Hope this helps

Someone plz help me with this I will mark you as brainlyest

Answers

(-2, -7), (-1,-4), (0,-1) (1,2)

All the Xs are the inputs and all the Ys are the outputs. (X,Y)

So I basically just used the Xs it gave us and then I put it in the function equation to solve for the outputs

HELP PLSSS . Miley is purchasing several yards of fabric for a school project. If she spent $13.41 and the fabric was $2.98 per yard, how many yards did she purchase?

Answers

Answer:

4.5 yards of fabric.

Step-by-step explanation:

In order to find out how many yards she purchased, you need to divide the money she spent by the price of fabric per yard. Therefore, you divide

13.41/2.98=4.5

4.5 yards of fabric

grrrrrr please help i’ll give u a cookie :)

Answers

im only in 6th grade

Step-by-step explanation:

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally how much pet food will each container hold

Answers

Answer: 13 1/3 ounces

Explanation:
1 pound equals 16 ounces
5 x 16=80
80 ounces divided by 6 containers is equal to 13 1/3 ounces of pet food.

Answer:

answer is 0.85 repeat (a line over 5)

Step-by-step explanation:

all you have to do is divide 6 from (5 ÷ 6) wich gives you 0.85 continous (a line over 5) so 0.85 with a line over it is your answer

Please help me, I am sorry that I’m so terrible at math

Answers

Answer:

x[tex]\leq[/tex]3

Step-by-step explanation:

hope this helps

Answer:

-6 <x< 3 or x<3, x<-6

Step-by-step explanation:

-18 < 4x +6 < 18

-18-6 <4x< 18-6

-24 <4x< 12

-24/4 <x< 12/4

-6 <x< 3

hope this help you

Terminating vs. Repeating
Some rational number, such as 1/2, 3/8, and 2/5 have a finite
decimal (terminating decimal); while others, such as 1/3, have
infinite decimal representation (repeating decimal).
For which positive whole numbers, n, is the decimal
representation of 1/n finite? For which is it infinite? Describe
the pattern, if there is one.

Answers

thats uhm hard how u do that

Answer:

If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.

Please someone explain how to solve for x.

Answers

Answer:

x =30

Step-by-step explanation:

We can use ratios to solve

18            20

--------- = ----------

18+27      20+x

Simplify

18            20

--------- = ----------

45         20+x

Using cross products

18 *(20+x) = 20*45

18 ( 20+x) = 900

Divide each side by 18

18 /18*(20+x) = 900/18

20+x =50

Subtract 20 from each side

20+x-20 = 50-20

x=30

Answer:

30

Step-by-step explanation:

to solve this type of problem you need to cross multiply.So you get the pairs which are 18 and 20 and 27 and x so the equation looks like 18/20=27/x so 18 times x is 18x and 20 times 27 is 540 so the equation is now 18c=540 then you divide both sides by 18 so x will be isolated which means x will be by itself so 18x divided by 18 is x and 540 divided by 18 is 30 so the equation is now x=30

Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.

Answers

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]

            [tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Need Help. ( Look at the picture). Will Mark Brainliest. Graph the step function over the interval. And you can just write the steps out also. Working on it now but really need help please asap. ​

Answers

Answer:

x = -3

Step-by-step explanation:

f(x) = x + 3

0 = x + 3

-x = 3

x = -3

Let f(x) = 5^x Find f(-3).

what did you guys get?

Answers

Answer:

I got 1/125

Step-by-step explanation:

The fastest doughnut machine can fry 9600 doughnuts per hour. Which is closest to the number
of doughnuts this machine can fry every second?

Answers

Answer:

9600/60 minutes = 9600/ 360 seconds = 26

Keep practicing :)

Step-by-step explanation:

Answer:

9.6

Step-by-step explanation:

The reason is because you divide this number by 1,000 which gives you 9.6

9600 divided by 1,000= 9.6

2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?

Answers

Answer:

33.1 units

Step-by-step explanation:

The formula to find the sides of an shape when given vertices is

= √(x2 - x1)² + (y2 - y1)²

When we have:(x1, y1) and (x2, y2)

(-3, 1), (5, 1), (-3, 4), (5, 4)

For (-3, 1), (5, 1)

= √(5 - (-3))² + (1 -1)²

= √8² + 0²

= √64

= 8 units

For (5, 1), (-3, 4)

= √(-3 - 5)² + (4 - 1)²

= √-8² + 3²

= √64 + 9

= √73 units

For (-3, 4), (5, 4)

= √(5 - (-3))² + (4 - 4)²

= √8² + 0²

= √64

= 8 units

For (-3, 1), (5, 4)

= √(-3 - 5)² + (4- 1)²

= √8² + 3²

= √64 + 9

= √ 73 units

Perimeter of the Polygon:

=( 8 + √73 + 8 + √73) units

= 33.088007491 units

≈ 33.1 units

Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.

Answers

Answer:

13/18

Step-by-step explanation:

See attachment

Need a step by step answer please

Answers

Answer:

x=10

Step-by-step explanation:

x+2+x=22

combine like terms x + x to get 2x:

2x + 2 = 22

subtract 2 on both sides:

2x = 20

divide by 2 on both sides to isolate x:

x=10

a + 4 = 6, when a = 2. true false open

Answers

True
Pls mark brainliest

Answer:

True.

Step-by-step explanation:

[tex]a+4=6[/tex]

[tex]a=2[/tex]

To see if the equation would be correct given the value of [tex]a[/tex], we have to substitute:

[tex]2+4=6[/tex]

[tex]6=6[/tex]

Since both sides of the equation are equal, the statement is true.

the sum of a interior angle measures of a polygon is 5220. How many sides does the polygon have

Answers

9514 1404 393

Answer:

  31

Step-by-step explanation:

The relationship between sides and the sum of angles is ...

  sum of angles = (sides - 2)·180°

Filling in the given value and solving for "sides", we get ...

  5220 = (sides -2)180

  29 = sides -2 . . . . . . . . . divide by 180

  31 = sides . . . . . . . . . . . . add 2

The polygon has 31 sides.

Answer:

31

Step-by-step explanation:

5220/180=29+2=31

2^4x4^4=2^4x2^n=2^12

Answers

Answer:

don''t knw

Step-by-step explanation:

Other Questions
Need help with Spanish homework plz help! In the analytical method, we use the Pythagorean theorem to find the magnitude of the resultant because ____. What was one similarity between Sundiata and Mansa Musa? how to construct cuboid net? what should be the measurement (around 1-5)? Plz ill give BrainliestMalcolm wants to copy images and articles on different animal species and use them to study for a science test. Which online note-taking tool would be the most helpful? online data storage sites electronic sticky notes electronic flash cards web clipping tools PLEASE HELP,I AM BEING TIMED!!!Statment:Which suggestion, if followed, would result in a very concise presentation? Select one: a. Use visual aids to support complex ideas. b. Keep your sentences short, simple, and focused. c. Check your information carefully before writing. d. Be sure that your writing is logically structured. Why can't you test a program for run-time errors when it has compile-time (syntax) errors Juan's Garage charges $60 per hour plus an evulatation fee of $30. The function to represent the charges f(x)=60x+30, where x represents the number of hours the repairs take. Evaluate f(5.5). Please show you work if you'd would like brainliest! Analyze the diagram below and answer the question that follows. historically the huang he had also been known as the river of sorrows because? Name the gas evolved when Zn reacts with dil.HCI (choose the answer from the following)1. O2 2. H2 3. CO2 4. Cl2 Why did some African Americans side with the colonist during the revolutionary war Last question- please answer this! QUICK!! URGENT!! I'll provide more point if u give me the right code for this specific program. I truly don't understand if statements :( Write 3.01 repeating as a mixed number. NEED HELP! Will give brainest!Spot the nouns, how many can you identify anyone that knows it? Hassan predicted that he would sell 178 postcards. He actually sold 142 postcards. What are the values of a and b in the table below?Percent ErrorItemApproximate valueExact valueErrorAbsolute errorRatioPercent errorPostcards178142aba = negative 36; b = negative 36a = negative 36; b = 36a = 36; b = negative 36a = 36; b = 36 Follow the steps to find the value of x1.Addition property of equality. 1/5(x)-2/3=4/31/5(x)-2/3+2/3=4/3+2/32.Multiplicative property if equality.1/5(x)5/1=6/3(5/1)The solution is x= Mrs. McGuffy is calculating a numerical analysis of the semester exam grades for students in her third period class. She entered the percentage correct on the exam for every student into a calculator and generated the following statistics. Which of these statements cannot be justified using statistics shown in these two calculator screen shots?a) the range of the scores was 30%b) the IQR was 8c) the mean score was less than the median score?d) the average score was 87%