31. Suppose that y varies inversely with x and that y = 4 when x = 6. What is an equation for the
inverse variation?
(1 po
6
Oy=
4x
24
y= —
2
24

Answers

Answer 1

Answer:

y = [tex]\frac{24}{x}[/tex]

Step-by-step explanation:

Given that 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


Related Questions

PLEASE ANSWER CORRECT, I WILL GIVE BRAINLIEST <3 THANK YOU IN ADVANCE!

Answers

Answer:

im gonna guess its 30 but not 100% sure

Step-by-step explanation:

Rectangle A is similar to rectangle B. The ratio of the length of rectangle A to the length
of rectangle B is 2 : 5. The width of rectangle BIs 36 inches. What is the width of
rectangle A?
A 90 in.
B
17.6 in.
B
А
с
28.8 in.
D
14.4 in.

Answers

Answer:

D. 14.4

Step-by-step explanation:

In similar polygons, corresponding sides are proportional. We can write the proportion:

[tex]\frac{l-A}{l-B} =\frac{w-A}{w-B}[/tex]

l-A is the length of A, l-B is the length of B, w-A is the width of A, and w-B is the width of B. We are given the ratio of the lengths is 2:5, so we can substitute it in:

[tex]\frac{2}{5} =\frac{w-A}{36}[/tex]

We can cross multiply:

72 = 5w-A

w-A = 14.4

HELP PLEASE SUPER EASY AND ILL BRAINLIST

Answers

Answer:

B

Step-by-step explanation:

Answer:

B.    n = 72

Step-by-step explanation:

[tex]\frac{n}{8} = 9[/tex]     Multiply both sides of equation by 8

n = 72

6) 60% of an audience at a theatre production are over the age of 60. Write down the
ratio of people under the age of 60 to the people over the age of 60. Write your
answer in the form 1: n

Answers

Answer:

60%

=60/100

=6/10

=3/5

=3:5

Subtract:
$1.00 – $0.20 = 0
O A. $0.02
O B. $0.08
O C. $0.80
D. $0.98

Answers

The Answer is C. $0.80, because if you take $0.20 away from $1.00, its going to be $0.80

Answer:

$0.8 or better known as answer C

Step-by-step explanation:

Find the perimeter

A) 66.4
B) 57.8
C) 62.7
D)59.2

Answers

BBB it is b the answer is b

What value of x makes 8x - 20 equal to 44?​

Answers

Answer:

x = 8

Step-by-step explanation:

8x - 20 = 44

8x - 20 + 20 = 44 + 20

8x = 64

8x ÷ 8 = 64 ÷ 8

x = 8

Yesterday 40 bakery customers bought muffins and 16 of those customers bought banana muffins. If 200 customers buy muffins tomorrow, how many would you expect to buy a banana muffin?

Answers

Answer:

80 customers would buy a banana muffin

Step-by-step explanation:

16/40 x 100 = 40%

40 x 200 = 8000

8000/100 = 80

Anyone wants me to do their math homework for then? I can do do elementary school, middle, and high school math homework

Answers

i need help can u help?

Nope, I hope you don't get caught tho...

Two points on the graph of a quadratic function are shown on the grid below



What is the equation of the axis of symmetry of the graph of the function?

a) x=-3

b) x=4

c) x=3

d) x=-4

Answers

Answer is b hope this helps

What is the median number of 4,4,2,1,4

Answers

Answer:

median: 4

Step-by-step explanation:

help me asap please I will mark brainliest and give extra points

Answers

Answer:

3/32

Step-by-step explanation:

prob greater than 5

that would be 6,7 or 8

p = 3/8

prob purple

p = 1/4

Prob of both

p = 3/8 * 1/4

p = 3/32

Please I need help to solve those problems:
A) (+4) + (-7) multiply (-3)-(+5)

Answers

Answer:

The answer is -24, I think!

(+4)+(-7)

4-7

-3

(-3)-(+5)

-3-5

-8

Hope this helps.

how is graphing (0,2) different from graphing ( 2,0)

Answers

(0,2) is x:0 y:2
(2,0) is x:2 y:0

please help me!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

cneel use four bags and put 3 items in each. his sisyers put four items

What is the probability of spinning blue on the image shown?

Answers

Answer:

3 out of 8

Step-by-step explanation:

Answer:

P(blue) = 3/8

Step-by-step explanation:

it waz correct. trust me

How many 2/3 are in 3/2

Answers

Answer:

2

Step-by-step explanation:

2/3 plus 2/3 equals 1 and 1/3

PLS HELP!!!!!! Which of the following uses the reciprocal property to rewrite x/6 = 28/3 x/3 = 6/28. x/28 = 3/6. 6/x = 3/28. x/6 = 28/3

Answers

Answer:

6/x = 3/28.

Step-by-step explanation:

Both fractions are inverted.

Taking the reciprocals:

1 /x/6 = 6/x and

1 / 28/3 = 3/28.

Answer:

6/x = 3/28

Step-by-step explanation:

PLEAS EHELP ME WITH THIS QUESTION IN THE NEXT MINUTE

Answers

Answer:

how many points

Step-by-step explanation:

pls help ty ill!<3:)

Answers

Answer:

-1

Step-by-step explanation:

-[tex]f^{0}[/tex] / j-3

= [tex](-4)^{0}[/tex] / (-2)-3

= -1

………… can someone pls help

Answers

Answer: It would be 170

Step-by-step explanation:

5 x 10 + 5 x 10 + 5 x 10 = 150 but since it is park of the rectangle and not the triangle you don't multiply by 1/2 but the triangle part  4 x 5 you do 4 x 5 x 1/2 with is ten then you do it for the other side 4 x 5 x 1/2 equals ten. So 150 + 10 + 10=170

4+2y<18 help please

Answers

Answer: 2

Step-by-step explanation:

We don't know what is the Y.

Then, 4 + 2y < 18 is:

6y < 18

If y=2, it'll make this equation true.

6*2 < 18

12 < 18.

So, Y=2

Insert two rational numbers between-1/3 and 2/3. with explanation with whole process ​

Answers

Answer:

Two rational numbers between -1/3 and 2/3 are:

0 and 1/3

Step-by-step explanation:

A rational number is a number that can be written as the quotient of two integer numbers.

Here, we want to find two rational numbers that are between:

-1/3 and 2/3

So, our numbers need to be larger than -1/3 and smaller than 2/3

This is ratter simple, let's start with the lower limit (-1/3) let's add a rational number to it.

Then check, the new number meets the conditions? if not, then we try adding a smaller rational number and so on.

Just because in both cases we have a denominator 3, i will add numbers that also have a denominator of 3.

First try:

Let's try adding 1/3

-1/3 + 1/3 = 0

the number 0 is a rational number: 0 = 0/1

and is true that:

-1/3 < 0 < 2/3

So we already found one of the rational numbers.

Now let's try again, let's add 5/3 this time

-1/3 + 5/3 = (-1 + 5)/3 = 4/3

This is larger than 2/3, so this is not in the desired range.

Let's try again, this time adding 2/3

-1/3 + 2/3 = (-1 + 2)/3 = 1/3

is true that:

-1/3 < 1/3 < 2/3

So the number 1/3 is in the desired range, so we found the second rational number.

You can see that this is kinda a trial and error way to solve these problems, this is the "easier" way to start, as you work with this, eventually you will practice enough and will be easy to find numbers between given ranges.

PLEASE HELP! (Correct answers only please)

Answers

23440 & 2.344 x 10^4

A truck can carry up to 3.6 tons. Each crate loaded in the truck weighs 125 pounds.
1 ton = 2000 pounds
What is the maximum number of crates that can be loaded in the truck? Enter the answer in the box.
crates

Answers

Answer:

51

Step-by-step explanation:

3.6=6333.34

Divide that by 125 and you have

50.6 but round up to 51

ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

Answers

Chill bro- do it yourself don’t cheat

Terry needs to carry a pole that
is 10 feet tall through a
rectangular doorway that
measures 6 feet by q feet. Will
the pole fit diagonally through the

doorway? Explain.
6 ft
9 ft

Answers

Answer:

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.

Step-by-step explanation:

Using the Pythagorean Theorem, ([tex]a^2+b^2=c^2[/tex] ) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.

Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:

[tex]6^2+9^2=c^2[/tex]

[tex]36+81=c^2[/tex]

[tex]117=c^2[/tex]

Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.

[tex]\sqrt{117} =10.8[/tex]

[tex]10.8=c[/tex]

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.

Jason wants to earn at least $250 each week working during the summer.

Jason earns $6.00 an hour babysitting.
Jason earns $7.75 an hour working at a store.
He can work no more than 40 hours each week.
Let b equal hours of babysitting, and s equal hours working at the store.


Which system of inequalities models the constraints?





6.00b + 7.75s ≤ 40
b + s ≥ 250


6.00b + 7.75s ≥ 250
b + s ≤ 40


6.00b + 7.75s ≥ 40
b + s ≥ 250


6.00b + 7.75s ≤ 250
b + s ≤ 40

Answers

Answer:

6.00b + 7.75s ≥ 250

b + s ≤ 40

Step-by-step explanation:

6.00b + 7.75s ≥ 250---this represents how much he will make

b + s ≤ 40---these are his hours. B+S are his hours, and they can't be greater than 40 hrs, so ≤.

Can someone help me find the area of this octagon

Answers

Answer:

2x1.5=3

Step-by-step explanation:

Which of the following is a reciprocal of 3/9?

Answers

Answer:

It would be 3.

Step-by-step explanation:

So, a reciprocal is basically just flipping over the numerator and the denominator of a fraction. Therefore:

3/9 ---> 9/3

The reciprocal of the fraction number in the simplified form will be 3.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The fraction number is given below.

⇒ 3 / 9

Simplify the fraction number, then we have

⇒ 3 / 9

⇒ 1 / 3

The reciprocal of the fraction number will be given as,

⇒ 1 / (1/3)

⇒ 3

The reciprocal of the fraction number in the simplified form will be 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

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