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

What is 5/9 +1/3 = I appreciate all answers!!

Answers

It is false or 8/9 is equal to 1

1.) Multiply Denominator:

9x3= 27

27 will be your new denominator for your answer.

then take 5 and multiply by 3.

5x3=15

then take 1 and multiply by 9.

1x9=9

Afterwards, you plus 15 and 9 to get 24.

so your fraction for the end will be 24/27.

what is the y-intercept for 3x^2 + 2x - 1

Answers

Answer:

y- intercept = - 1

Step-by-step explanation:

To find the y- intercept , let x = 0 in the equation and evaluate for y

y = 3(0)² + 2(0) - 1 = 0 + 0 - 1 = - 1

y- intercept = - 1 or (0, - 1) in coordinate form

Answer:

Plug x=0 into the equation and solve the resulting equation

The y-intercept:

3x^2 + 2x - 1

3(0)^2 + 2x(0)- 1

0+0-1

-1

y=−1 is intercept for y  

(0,−1)

Step-by-step explanation:

Blaine's take-home pay is $2,500 each month, and he has created a monthly budget to become more aware of where his money goes. His budget is shown below. Blaine finds that he can join a cheaper gym for $40/month, reduce his spending money to $200, and find a phone and internet package for $175. How much will these choices save him each month?

Answers

Answer:

Amount Blaine save = $250

Step-by-step explanation:

Total take home pay = $2,500

Original budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $235

Cellphone + Internet = $250

Gym membership = $180

Total = $2,500

New budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $200

Cellphone + Internet = $175

Gym membership = $40

Total = $2,250

How much will these choices save him each month?

Amount Blaine save = Total take home - new budget

= $2,500 - $2,250

= $250

Amount Blaine save = $250

A pile of 15 boxes is 3 metres high. What is the depth of each box?

5 m
0.002 km
200 cm
200 mm

Answers

ANSWER:

200 millimetre

Answer:  D) 200 mm

====================================================

Work Shown:

1 meter = 100 cm

3 meters = 300 cm (multiply both sides by 3)

15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.

------------

Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens

20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km

It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.

------------

Let's convert to mm and see what happens

20 cm * (10 mm/1 cm) = 200 mm

Through trial and error, we arrived at the final answer.

Orange gray produce 133,952 oranges. If a crate holds 92 oranges, how many crates were needed for shipping? (Write operation and answer) no links

Answers

Answer:

1,456 crates needed

Step-by-step explanation:

oranges = 133,952

crate capacity = 92

133,952 / 92 = 1,456 crates needed

Please help 10 points...

Answers

Answer:

area of a trapezoid is 1/2(h)(b1 + b2)

1/2 (3) (6+2)

1/2 (24)

12 units ²

what are the solutions to x^2- 3x -28= 0? select all that apply
A. x = -14
B. x = -7
C. x= -4
D x = -2
E x= 2
F x= 4
G x= 7
H x= 14

Answers

Answer:

(x +7) (x -4)

x=-7 or x= 4

Step-by-step explanation:

(x +7) (x -4)

x=-7 or x= 4

Evaluate (2.4 x 10^4) (4.5 x 10^3)


Plss help!

Answers

Answer:

Step-by-step explanation:

2.4*10^4*10^3*4.5

=10.8*10^4+3

=10.8*10^8

=10.8*100000000

=1080000000

If you help ill give you some of my banana milk...

Answers

Given:

The function is:

[tex]f(x)=4x^2-25x-21[/tex]

To find:

The domain of the given function.

Solution:

Domain is the set of input values.

We have,

[tex]f(x)=4x^2-25x-21[/tex]

It is a quadratic polynomial.

We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:

Domain = Set of all real number

Domain = (-∞,∞)

Therefore, the correct option is B.

Find the distance between the points (1, 4) and (- 2, - 1).

Answers


5.83

Use the distance formula i attached an example of another problem same formula different numbers, you can use it for future reference just switch out the points and you’ll have your answer

fid the log of 0.0007356​

Answers

I hoped this helped!!

70% in the SIMPLEST Form​

Answers

Answer:

7/100

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 70 and 100 is 10

Divide both the numerator and denominator by the GCD

70 ÷ 10

100 ÷ 10

Reduced fraction:

7

10

Therefore, 70/100 simplified to lowest terms is 7/10.

What is the radius of a circle with a circumference of 26 meters?

Answers

Answer: 4.14 m.

Step-by-step explanation:

Write the equation of a line that passes
through point (-5,3) and is perpendicular to
y=3/5x +2.

Answers

Answer:

[tex]y=-\frac{5}{3}x-\frac{16}{3}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 4/3 and -3/4, etc.)

1) Determine the slope (m)

[tex]y=\frac{3}{5} x +2[/tex]

From the given equation, we can see that [tex]\frac{3}{5}[/tex] is the slope of the line since it's in the place of m. Because perpendicular lines always have slopes that are negative reciprocals, the line we're currently solving for would have a slope of [tex]-\frac{5}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{5}{3}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{5}{3}x+b[/tex]

Plug in the given point (-5,3)

[tex]3=-\frac{5}{3}(-5)+b\\3=\frac{25}{3}+b[/tex]

Subtract [tex]\frac{25}{3}[/tex] from both sides to isolate b

[tex]3-\frac{25}{3}=\frac{25}{3}+b-\frac{25}{3}\\-\frac{16}{3} = b[/tex]

Therefore, the y-intercept is [tex]-\frac{16}{3}[/tex]. Plug this back into [tex]y=-\frac{5}{3}x+b[/tex]

[tex]y=-\frac{5}{3}x+(-\frac{16}{3})\\y=-\frac{5}{3}x-\frac{16}{3}[/tex]

I hope this helps!

can someone help me please?? i really appreciate it

Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Answers

Answer:

In summary, the translation and scale factor are:

Translation: (x,y)↦(x+5,y+4)

Scale factor: 2

Step-by-step explanation:

a ferris wheel has a radius of 70 feet and makes a revolution every 60 seconds, the center of the wheel is 90 feet above the ground. the ferris wheel goes counter clockwise. write an equation to model the height of a rider who starts the ride at the 3:00 position? also what is the amplitude, vertical translation and the period

Answers

write an exponential function - I set a 16 1b. block of ice out in the sun on a hot day. 2 hours later I came back and weighed the remaining ice. it weighs 9 lbs. if I know that ice melts at an exponential rate, write an equation that can be used to model the weight of the ice (w) after a given number of hours (h) use your equation to predict the weight of the ice at 5 hours.

Your science teacher has 25 students in her class. If she uses popsicle sticks to randomly call on students
during class, what is the probability your name will be called?


Options are 4% and 6% plsss help me

Answers

Answer:

the probably your name would be called is 1 out of 25 because there is only one of your name. if there were 5 of your names in 25 then the chance is 5 out of twenty five .

What is every way to write a ratio?​

Answers

Answer:

Step-by-step explanation:

AN Example of every way to write a ratio is:

3 to 63:63/6  

which one you choose will depends on the problem or situation


What is
[tex] {5}^{7} [/tex]

Answers

35 because you multiply 5times 7

Answer:

78,125

Step-by-step explanation:

5 × 5 × 5 × 5 × 5 × 5 × 5 = 78125

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Have a good day :)

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation? Infinitely many solutions exist because the two situations describe the same line. Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercep

Answers

Answer:

Step-by-step explanation:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

When y is directly proportional to x, the value of y = -2 when x = 4. What is the value of y when x = 8?

Answers

Answer:

y = -4

Step-by-step explanation:

When y is directly proportional to x,

= y ∝ x

= y = kx

Finding k

the value of y = -2 when x = 4

-2 = k4

k = -2/4

k = -1/2

. What is the value of y when x = 8

Finding y

y = kx

y = -1/2 × 8

y = -4

PLEASE HELP!!! IL MARK BRAINLIEST

Which transformation results in a similar geometric figure rather than a congruent one?
A. Relation
B. Transformation
C. Dilation
D. Rotation

Answers

Answer: C dilation

Step-by-step explanation:

please help its like 5th grade math

Answers

V = 6 x 1 x 9
= 54cm3

Step-by-step explanation:

vol of 1st cuboid,

=lxbxh

=4cm×6cm×1cm

=24cm³

vol of 2nd cuboid

= lxbxh

=6cm×3cm×1cm

=18cm³

vol of figure=18cm³+24cm³

= 42cm³

For what value of is the expression 4+2+36 a perfect square?

Answers

Answer:

[tex]2^2+2+6^2[/tex]

Step-by-step explanation:

Last Ss, super easy im just braindead

Answers

Answer:

the answer is 90

Step-by-step explanation:

I WILL GIVE BRAINLESS IF YOU HELP ME PLZ

S.O.S I HAVE MATH

Answers

A, first find the slope of the line shown, which is 2x+1
slope is rise/over run, with the y-intercept being on 1

When looking at rate of change, it's really just telling you to look at the slope and how steep it is. The more steeper it is, the higher the rate of change. (as close as it is to being a vertical line). Since the slope here is 2. Look for one that has a slope greater than 2, which is 3. Therefore the answer

A. 3x-1

Hope this helps!

The volume of the triangular prism is 54 cubic units.
What is the value of x?
O 3
O 5
O 7
O 9

Answers

3

Explanation:
Volume = Base Area x Height
54 = (1/2 * b * h) * 3x
54 = (1/2 * 4 * x) * 3x
54 = 2x * 3x
54 = 6x^2
9 = x^2
x = 3


Which is the answer no links please.

Answers

Answer:

c

Step-by-step explanation:

Find the missing measurements.

Area: ?

Length: 13 cm

Width: 15 cm

Answers

Answer:

13 x 15 = 195

(SOMEONE HELP ME, NO LINKS)

What is the value of (5 2 -10) divided by 5 x 2 3?

Answers

Answer:

The answer of the question is C

24

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