If y varies inversely as x and y = 18 when x = 4, what is y when x = 24? a. 12 b. 6 c. 3 d. 16.

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf y = 3}[/tex]

Step-by-step explanation:

Given that:

[tex]\displaystyle y \propto \frac{1}{x}[/tex]

Converting proportionality into equality

[tex]\displaystyle y = \frac{k }{x}[/tex]   ------------------------- (1)

We know that:

y = 18 when x = 4

Put in Eq. (1)

[tex]\displaystyle 18 = \frac{k}{4} \\\\Multiply \ 4 \ to \ both \ sides\\\\18 \times 4 = k\\\\72 = k\\\\ \boxed{k = 72}[/tex]

Now,

y = ? when x = 24

Put in Eq. (1)

[tex]\displaystyle y = \frac{72}{24} \\\\\boxed{y = 3}[/tex]

[tex]\rule[225]{225}{2}[/tex]


Related Questions

is the following data an example of a linear function​

Answers

Answer:

Yes it is.

Step-by-step explanation:

Given the definitions of f(x) and g(x) below, find the value of (gof)(-1).
f(x)=x^2+3x+1
g(x)=x-4

Answers

Answer:

f(x)_x^3x+2+1

f(x)=3x+3

g(x)_4x

Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1, 8) in slope-intercept form?
Calculate StartFraction 8 minus (negative 4) Over negative 1 minus 5 EndFraction = StartFraction 12 Over negative 6 EndFraction = negative 2..
Calculate StartFraction negative 1 minus 5 Over 8 minus (negative 4) EndFraction = StartFraction negative 6 Over 12 EndFraction = negative one-half..
Find that the point at which the line intersects with the line y = 0 is (3, 0).
Find that the point at which the line intersects with the line x = y is (2, 2).

Answers

Answer:

The answer is A.

Step-by-step explanation:

Took it on Edge (:

Ellie is making a batch of pancakesand her recipe calls for 1 1/2 cups offlour and 1 1/4 cups of milk. If she only has 1 cup of milk, how much flour should she use to make the same pancake recipe?

Answers

Answer: 6 cups

Step-by-step explanation:

multiple the 1 1/2 by 4

evaluate each question

-12 • (-1/3)

Answers

Answer:

4

Step-by-step explanation:

[tex] = - 12 \times ( \frac{ - 1}{3} ) \\ = \frac{12}{3} \\ = 4[/tex]

- 12 × -1 is +12 because - × - = +

Need help I’m suck on this problem

Answers

This I correct because once anything is to the power of 0 it becomes 1 so you left with 3x5x3x5to the 2nd power, after calculating that you have 9x5to the third=9x125=1125.

find H.C.F. of 144, 252 and 630​

Answers

The HCF IS 18

HOPE THIS HELPS U

Solve t(t+4)-1=t(t+2)+2 please show your work

Answers

Answer: T= 3/2

Step-by-step explanation:  t(t+4)-1=t(t+2)+2 simplify into t2+4t−1=t2+2t+2 now subtract t^2=t2+4t−1−t2=t2+2t+2−t2 subtract 2t(both sides)  4t−1=2t+2 2t−1=2=2t−1=2 now add 1 to both sides = 2t−1+1=2+1 than 2t=3 now divide by 2(both sides)= T= 3/2

can anyone help Please​

Answers

Step-by-step explanation:

Find the LCM of both sides and carry out your usual fraction operations, thereafter you solve for x by collecting like terms and then divide both sides by the coefficient of x,, then u get your value for x.

Choose the sentence that explains how the bonding pattern in metals makes them good conductors of electricity

Answers

The sentence that explains how the bonding pattern in metals makes them good conductors of electricity is A. They are willing to give up their valence electrons.

What are valence electrons?

Valence electrons are the electrons in the outermost shell, or energy level, of an atom, which participate in the formation of a chemical bond when the outer shell is open.

Answer Options:

A. They are willing to give up their valence electrons.

B. Their nucleus has more protons than neutrons.

C. They are malleable.

D. They have a simpler electron arrangement.

Thus, the sentence that explains how the bonding pattern in metals makes them good conductors of electricity is Option A.

Learn more about conductors of electricity at https://brainly.com/question/2624096

using a ruler and a pair of compass only construct triangle XYZ such that XY=9.5
<YXZ=60

Answers

Answer: 22.5

Explanation: from P the radii of length r are perpendicular to xz, xy, and yz and all the same.

if draw it with your compass your see a certain symmetry

call the tangent point on xz Q and the one on xy S

triangle XQP is congruent to XSP and is a right triangle

the two angles at x are 22.5 degrees

so PQ = PS = 4 tan 22.5

use the values to solve this problem a=4 b=2, c=5 9a-(4b+2c)

Answers

Answer:

36 is the answer !!

Step-by-step explanation:

9(4)-(4(2) + 2(5))

36-8+10

26+10

36

Which figures show adjacent angles

Answers

i think it would be 2 and 3 not too sure though

What is the value of h(3)?
o -2
0 -11
0 1
O 2

Answers

Answer:

h(3) = 1

Step-by-step explanation:

See attached image.

A box of alexanders is in form of prism rectangular it is measured 13 longitud, 8 of widht, and 4.8 of height, what is the area total, area lateral and area without of one of the edges of __ (Dont know the underlined)

Answers

Answer:

lateral area and area without one side: 20.8

What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

Answers

Answer:

Step-by-step explanation:

AC is perpendicular to BD.

Further explanation

   We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that is reflexive.

   The length of the base of the triangle is the same, i.e., .

   In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.

Conclusions for the SAS Congruent Postulate from this problem:

   ∠ACB = ∠ACD

- - - - - - - - - -

The following is not other or additional information along with the reasons.

   ∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and

   ∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.

   no, because already marked.

- - - - - - - - - -

Notes

   The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.

   The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.  

   The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.

   The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.  

Learn more

   Which shows two triangles that are congruent by ASA?  brainly.com/question/8876876  

   Which shows two triangles that are congruent by AAS brainly.com/question/3767125

About vertical and supplementary angles brainly.com/question/13096411

Do these ratios form a proportion?
4 quarts : 6 weeks
12 quarts : 16 weeks
yes
no
Submit

Answers

Answer:

No, these ratios aren't proportional

Step-by-step explanation:

4:16 base ratio is 1:4

12:16 base ratio is 1:1.333333333

For a relationship to be proportional, the base ratios must be equal.

Which set of ordered pairs represents a function?
O{(-5, -1), (9,7).(-2,6),(-3,7)}
O{(-7,5),(-9,-4),(-3,-1),(-3,4)}
O{(5,-3), (1,2), (1,8),(4,6)}
O{(-2,9), (-2, 6), (1, -5), (-4,-8)}
Submit Answer

Answers

a function set does not contain any X-repeats, or namely that the x-coordinate on every pair is different, let's take a peek at these sets, Check the picture below.

geometry pls help plssss

Answers

Unfortunately, the text is too blurry to read. I’ll be happy to help if you send a clearer copy of the question(s)! :)


answer for a lot of points !!!

Answers

Answer:

ABABCC

Step-by-step explanation:

DEFINITION: A rhyme scheme the ordered pattern of rhymes at the ends of the lines of a poem or verse (according to the Oxford Dictionary)

Cloud is the first rhyme in the sentence, in which we call A.

Hills doesn't rhyme with cloud, so it is B.

Crowd rhymes with cloud, so we call it A.

Daffodils rhyme with hills, so we make it B.

Trees doesn't rhyme with anything else, so we call it C.

Breeze rhymes with trees, so we make it C.

Answer: Ok the awnser is AABBCC and also its only five points but i will take it! happy christmas!!!!

The driving distance between Manchester and London is 195 miles. Farris intends to travel from Manchester to London by coach. The coach will leave Manchester at 3:30pm .

Answers

Answer:

Step-by-step explanation:

The answer is 7:24pm

AS 3:30+(195/50)=7.24

(You have to keep in mind that there are 60 minutes in a hour not a hundred..)

The price per mp3 download 5 years ago was $0.99. Now, each mp3 download costs $1.29. Which statement is true?

Answers

Answer:

inflation?

Step-by-step explanation:

nothing here

Answer:

that would be an example of inflation.

I noticed your question was not complete, so I hope this helps you as much as possible.

Write the formula for the parabola that has x- intercepts (1.3.0) and (-1.3.0). and y - intercept (0.169)​

Answers

From x- intercepts  it was possible to find the formula of the parabola: x²-1.69=0.

Quadratic function

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

From the sum and product of the roots in a quadratic function it is possible to write your respective equation. Since:

S= sum of the roots (x1+x2) = [tex]-\frac{b}{a}[/tex]P= product of the roots (x1*x2)= [tex]\frac{c}{a}[/tex]

This question gives the root since it informs the x- intercepts (1.3,0) and (-1.3,0). Then, the roots are: x1=1.3 and x2= -1.3.

Hence, you should write the equation in factors from the known roots. See: (x-1.3) * (x+1.3)=0. Multiplying the factor, you will have:

x²+1.3x-1.3x-1.69=0

x²-1.69=0

You can check the previous result from :

the sum of the roots (S) will be 1.3-1.3=0.

the product of the roots (P) will be 1.3*(-1.3)=-1.69.

So, the formula of  the parabola is x²-1.69=0. The attached figure shows the x-intercepts and y-intercept  informed.

Read more about a quadratic function here:

https://brainly.com/question/1497716

Can anyone explain me well thats whats
" twice the variable P divided by the product of 5 and q

Answers

Answer:

See below.

Step-by-step explanation:

Twice means multiplied by 2.

Product is the solution to a multiplication equation.

2p/5q

-hope it helps

this is a sketch of the curve with equation y=f(X). The curve has a minimum point at M(-1,-3).

Answers

The minimum point of the function y=f(x)+3 is at (-1 , 0 ) .

The biggest and lowest value of a function, either inside a specific range (the local or relative extrema) or on the entire domain, are generally referred to as extrema (plural of extremum) in mathematical analysis (the global or absolute extrema). One of the first mathematicians to suggest the general method of adequacy for determining the maxima and minima of functions was Pierre de Fermat.

The maximum and minimum of a set are the greatest and least items in the set, as described by set theory. There are no minimum or maximum values in unbounded infinite sets, such as the set of real numbers.

Say that (x,y) = where y = f(x) minimum occurs at (-1,-3). As a result, for all other x inside its domain of definition, y= f(x) >=-3

y = f(x) + 3 simply elevates the graph of y by 3 and increases the value of y for any x. Its minimum x-value remains at -1, and its value for y is f(3) + 3 = -3 + 3 = 0. as a result, new minimum =(-1 , 0 ) .

To learn more about maximum and minimum values of a function visit:

https://brainly.com/question/13581879

Disclaimer: The complete question is :

This is a sketch of the curve with equation y=f(X). The curve has a minimum point at M(-1,-3).Find the minimum value for the function y=f(x)+3 .

#SPJ1

Hunter thought he had 400 baseball cards, but he actually had 620. Calculate Hunter’s percent error.

Answers

With the actual ball the hunter had as 620 balls and the ball the hunter thought he had as 400 balls, The Hunter’s percentage error is mathematically given as

e=35.483%

What is Hunter’s percentage error?

Question Parameters:

Hunter thought he had 400 baseball cards, but he actually had 620.

Generally, the equation for the  error is mathematically given as

[tex]e=(\frac{false cards}{original card}*100)[/tex]

Therefore, if

False cards=620-200

Hence

[tex]e=(\frac{false cards}{original card}*100)\\\\e=(\frac{220}{620}*100)[/tex]

e=35.483%

In conclusion, the percent error is

e=35.483%

Read more about, Arithmetic

https://brainly.com/question/22568180

Jan rewrote the expression ½y • 5 as 5 •½y Which property of operations did Jan use?​

Answers

Answer:

Commutative property of multiplication

Step-by-step explanation:

Answer:

Jan is using commutative property.

Step-by-step explanation:

Commutative property is when you switch values and they don't make a change in the outcome.

Just remember, this only applies to addition and multiplication but does not apply to division or subtraction!!!

Examples:

2+4=6

4+2=6

9x3=27

3x9=27

Combine like terms:

12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2


PLEASE PLEASE HELP

Answers

Answer:

  16x -7y +b +81.2a +z +6

Step-by-step explanation:

Coefficients of terms with the same variable are added when like terms are combined.

12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2

=(12 +4)x +(-7)y +(45 -44)b +(78 +1 +1.1 +1.1)a +(1)z +(2+2+2)

= 16x -7y +b +81.2a +z +6

What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answers

Answer:   48.6

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

Work Shown:

area = 0.5*side1*side2*sin(angle)

area = 0.5*13*7.5*sin(94)

area = 48.6312474501664

area = 48.6 square inches

Notes:

Make sure your calculator is in degree mode.The angle must be between the two sides mentioned. For more info, check out the SAS triangle area formula.

Answer: 48.6

Step-by-step explanation:

i took the test

Please help, I’ll mark your answer as brainliest.

Answers

Already answered here: https://brainly.com/question/26919792

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