Assume that y varies inversely with x. If y = 4 when x = 6, find y when x = 2

Answers

Answer 1

Answer:

y = 12

Step-by-step explanation:

Given y varies inversely with 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 y = 4 when x = 6, then

4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

24 = k

y = [tex]\frac{24}{x}[/tex] ← equation of variation

When x = 2 , then

y = [tex]\frac{24}{2}[/tex] = 12


Related Questions

1) Is it a function?
Please help

Answers

Answer:

Hi, there your answer is yes it is a function

Step-by-step explanation:

A function is when x is not repeating itself like -3, 3

A not a function is when x is repeating for example like 3,3

Hope this Helps :)

44% of the 25 buildings in the Forum are preserved. How many buildings are preserved?

Answers

Answer:

=44%of25

=44/100*25

=44/4

=11

A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?

STEP BY STEP PLS I WILL MARK BRAINLIEST PYTHAGORUS THEOREM

Answers

C^2= a^2 + b^2
C= 25^2 + 10^2
C= (25)(25)+ (10)(10)
= 625 + 100
= 725
square root of 725 is 26.9 ; you can round to the nearest tenth which will be 27 feet ! hope i helped(:

An ice-cream store sold 70 sundaes. The ratio of
strawberry to chocolate sundaes was 3:4. How
many strawberry sundacs did they sell

Answers

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

3*10=30

4*10=40

So there are 30 strawberry sundaes and 40 choclate sundaes.

We need to find the strawberry sundae amount, so the answer is 30.

Hope this helps!

The Hunt family's pancake recipe uses 2 teaspoons of baking powder for every 1 3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?

Answers

i think it would be 6

Which is the standard equation for a circle centered at the origin with radius r?

Answers

Answer:option D is correct

Step-by-step explanation:

Angle 1 and angle 2 are shown in the diagram below.


Which of the following shows an equation that can be used to determine the measures of angle 1 and angle 2 and the actual measures of angle 1 and angle 2?

Equation: 90 = 25.8 + 3.5x
Angle 1: 64.2°
Angle 2: 25.8°


Equation: 90 =
Angle 1: 50.9°
Angle 2: 39.1°


Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°


Equation: 180 =
Angle 1: 127.5°
Angle 2: 52.5°

Answers

Answer:

Equation: 180 = 127.50 + 3.5x

Angle 1: 135.45°

Angle 2: 44.55°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

9/4x + 101.7 + 1 1/4x +25.8 = 180

Change the mixed number to an improper fraction

9/4x + 101.7 + 5/4x +25.8 = 180

Combine like terms

14/4x +127.5 = 180

Subtract 127.5 from each side

14/4x = 180-127.5

14/4x = 52.5

Multiply each side by 4/14 to isolate x

x =52.5 * 4/14

x = 15

Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45

Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55

PLEASE PLEASE HELP I REALLY NEED THIS!! THANK YOU
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Answers

Answer:

12 right 6 up (12,6) and 3:1 or 3

Step-by-step explanation:

I need help no links or files they get removed by brainly

Finding a final amount in a word problem on exponential growth or decay

A city has a population of 260,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 14 years?
Use the calculator provided and round your answer to the nearest whole number.

Answers

Answer: 700,000

Explanation:
260,000 x 1.075^14 = 715635.45277

help please! any help is appreciated

Answers

Answer:

Step-by-step explanation:

6.

P(even)=4/8=1/2

=50 %

7.

P(8)=23/50

=46 %

Ratio of 4 to 10= (?) %

Answers

40%
hope this helps

Answer:

It is 40 I hope that it is helpful have a nice day

help please!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

[tex]{ \boxed{a = 3.75}}[/tex]

[tex]{ \boxed{b = 16}}[/tex]

Step-by-step explanation:

[tex](4.46 \times {10}^{9} ) \times (8.4 \times {10}^{6} ) \\ = 3.7464 \times {10}^{16} \: breaths[/tex]

NO LINKS OR FILES
PEASE HELP IM BEING TIMED

On a map of North Carolina, the distance between Raleigh and Charlotte is 1 point
3 inches. The scale on the map is 1 inch = 40 miles. What is the actual
distance?

Answers

Answer:

52 miles

Step-by-step explanation:

You can use simple law of proportions to calculate this one.

[tex]\frac{1.3 inch}x} = \frac{1inch}{40mile}\\x= 52 miles[/tex]

solve for x and you get 52 miles.

I have added a similar example below if that helps further explain this.

Can someone help me pleaseeeeeeeee.

Answers

Answer:

B) 2.25

Step-by-step explanation:

Given:

x = -2

y = 4

z = -5

Work:

[tex]\frac{x^2-z}{y} \\\\\frac{(-2)^2-(-5)}{4}\\\\\frac{4+5}{4} \\\\\frac{9}{4} \\\\2.25[/tex]

Which ordered pair is a solution for the system of equations
y= x - 1 and y = x2 - 4x + 3?

Answers

Answer:

(4,3),(1,0)

Step-by-step explanation:

There is a calculator that can solve this. its called mathaway.

The circumference of a circle is 6.28 meters. What is the circle's radius?
C = 6.28 m

Answers

The circumference of a circle with radius r is c = 2*pi*r. Dividing both sides by 2*pi gives r = c/(2*pi). For c=6.28 the radius is r= 6.28/(2*pi) which is approximately 1 since pi is approximately 3.14

Fill in the blanks
With the options below

Answers

Answer:

The value of x = 33 units (Approx.)

Step-by-step explanation:

Given triangle is a right angle triangle;

So,

Base of triangle = 18 unit

Angle with base = 57°

Find:

The value of x

Computation:

Using trigonometry function;

Cosθ = Base of triangle  / Hypotenuse triangle

Cos57 = 18 / x

0.544 = 18 / x

The value of x = 18 / 0.544

The value of x = 33.088

The value of x = 33 units (Approx.)

For the right triangles below, find the values of the side lengths h and b.
Round your answers to the nearest tenth


Answers

Answer:

5.8

Step-by-step explanation:

Can someone show me the steps to solving this?!?!!

Answers

Answer:

la raíz cuadrada entre 3

Please help with this, will give brainliest.

Answers

Answer: Choice B

Explanation:

The negative exponent means we apply the reciprocal to get the exponent to be positive.

The rule is (a/b)^(-c) = (b/a)^c

That means (1/4)^(-3) = (4/1)^3 = 64 which is a whole number.

Something like 2^(-3) = 1/(2^3) = 1/8 = 0.125 isn't a whole number, so we can cross that off the list. The same goes for choices A and C as well.

Answer:

B

Step-by-step explanation:

1/1 ÷ (1/4)³ = 1 x 4³ = 64

You have $12,000 invested that grows annually at a rate
of 3%. How much money will be in your account after one
year?

Answers

Step-by-step explanation:

12360 is the answer to the problem

The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately how many students were enrolled at South High School in 2010?

Answers

Answer: 10,985 students

Step-by-step explanation:

You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:

Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years

Number of years = 2010 - 1995 = 15 years

Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵

= 10,985 students

Write The equation or the line in slope intercept form​

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

slope intercept form - y = mx + b

where m = slope and b = y intercept

step 1 identify the slope

slope = change in y over change in x.

Looking at the graphed line, as y goes up 6 x goes down 2

Hence, slope (m) = 6 / - 2 or -3

Step 2: identify the y intercept ( b )

b = The y value of the coordinate where the line passes the y axis.

The line passes the y axis at point ( 0 , 5 )

The y value of that coordinate is 5

Therefore b = 5

Step 3 add everything together

y = mx + b

* replace m with -3 and b with 5 *

the equation of the line in slope intercept form is y = -3x + 5

PLEASE HELP IOLL GIV EBRAINLIEST ANSWER!!

Answers

Answer:

8 1/3 meters

Step-by-step explanation:

set up a proportion of corresponding sides:

TE/AY = JT/DY

25/AY = 18/6

cross-multiply:

18AY = 150

AY = 150/18 which is 8 1/3

picture, brainliest

Answers

Answer:D

Step-by-step explanation:

Someone help! What is 4 1/4-5/6?

Answers

Answer:

3 5/12

Step-by-step explanation:

Answer:

3 5/12

Step-by-step explanation:

4 1/4-5/6

Get a common denominator of 12

4 1/4 *3/3 - 5/6 *2/2

4 3/12 - 10/12

Borrow from the 4

3 + 12/12 + 3/12 - 10 /12

3 15/12 - 10/12

3 5/12

What is the slope of a line that is perpendicular to the graph of y=
5/3 x + 8?

Answers

Answer:

-3/5

Step-by-step explanation:

The slopes of perpendicular lines are negative recipricals

The negative reciprocal of 5/3 is -3/5

PLEASE ANSWER QUICK!! what’s the correct answer?

Answers

Answer:

48r

Step-by-step explanation:

CAN SOMEONE FIND THE VOLUME?

Answers

Of what you didn’t put a picture
Explanation

Hey there! I don't see any attached picture, but I can totally help in the comments if you give me a description of it :)

Jeremiah is saving money in a bank account. He opened the account with $25. Each month he adds the same amount of money to the account. After 8 months, the account has $505. Which equation can be used to calculate the amount of money in the account, y, after x months

Answers

Answer:

Step-by-step explanation:

y = ax + b

The trick is to solve for a.

y = 505

x = 8

b = 25

505 = a*8 + 25                Subtract 25 from both sides

-25             -25

480 = 8a

a = 60

What this means is that for each one of the 8 months, he added 60 dollars into his account

The equation is y = 60*x + 25

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