Suppose y varies directly with x and inversely with z. If y = 14 when x = 7 and z = 3, what is x when y = 3 and z = 8? Use the step-by-step process you learned to solve this problem.

Step 1: Set up the correct type of variation equation.
y =
✔ kx/z
Step 2: Determine the constant of variation.
k =

Answers

Answer 1

Answer:

The constant of variation k is 6 and the value of x is 4.

Step-by-step explanation:

What is constant of variation?

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.

What is direct variation?

A direct variation is a proportionality relationship in which two quantities follow a direct relationship.

What is inverse variation?

Inverse variation states when one variable increases then the other variable decreases.

Given,

y=14 when x=7 and z=3

The variation equation is,

y=kx/z

Inputting the values,

14=(k*7)/3

14*3=7*k

42=7k

k=6

When y=3, z=8 we will find x.

y=kx/z

3=6*x/8

3*8=6*x

x=24/6

x=4

Hence, the value is 4.

To know more about constant of variation, direct variation, inverse variation here

https://brainly.com/question/11733777

#SPJ2


Related Questions

PLEASE HELP !!!!!!!
What is the value of the missing angle?

Answers

Answer: D

Step-by-step explanation:

180-80-35=65

180-65=115

The answer would be D.

Pls Help!
Aimee wants to order some DVDs from Amazon. Each DVD costs $8.49 and shipping for the entire order is $5. She has only $70 to spend. How many DVDs can she order?

Answers

Answer:

she can buy 13

please brainliest or hear

Answer:

She can order 7 DVDS

Step-by-step explanation:

8.49 x 7 = 59.43

59.43 + 5 = 64.43.

Please help i would really appricate it.

A) (5,-4)
(2,0)
(7,1)

N) (5,-4)
(2,0)
(7,1)

T) (5,-4)
(2,0)
(7,1)

Answers

A(2,0) N(7,1) T(5, -4)

<3

Graph this function.

F(x)= -1/3x + 8

I need help ASAP! The -1/3x is a fraction. Can anyone help?

Answers

Step-by-step explanation:

Rewrite the function as an equation.

[tex]y = - \frac{x}{3} + 8[/tex]

Rewrite in slope-intercept form.

[tex]y = - \frac{1}{3} x + 8[/tex]

Use the slope-intercept form to find the  slope  and  y-intercept.

Slope : - 1/3

y-intercept: (0,8)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

Which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?
(please refer to the answer like this: Image [number])

Answers

Answer:

Image 1

Step-by-step explanation:

To answer this question, we need to know how to use a box plot.

I've attached an image that demonstrates this well and can teach you what each part of the box plot means.

Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.

With this, we can analyze each box plot and determine which one is correct.

Box Plot 1: Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.

Box Plot 2: Everything plotted correctly EXCEPT maximum of 48 is represented at 46.

Box Plot 3: Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.

Box Plot 4: Upper quartile represented at 39 and maximum represented at 46 are both incorrect.

Hey everyone it is math pleased help me it is due today

Answers

Answer:

93 in²

Step-by-step explanation:

Given triangular prism with:

a = 1.5 in, b = 2 in, c = 2.5 in, l = 15 in

Total surface area is:

A = Pl + 2B, where P is the perimeter of base, B is area of base

Considering all given values we have:

A = (1.5 + 2 + 2.5)*15 + 2*(1/2*1.5*2) = 93 in²

Use the Trig Ratios to find the Missing Side Length

Answers

Answer:

[tex] \tan(55) = \frac{x}{8} \\ x = \tan(55) \times 8[/tex]

Select the name of the highlighted part.
OA side
OB. diagonal
OC.
Vertex

Answers

Answer:

oc

Step-by-step explanation:

because it's oc so the side is wrong and the vertex too

A chi-square test was conducted to investigate whether there is an association between a person's favorite flavor of ice cream and their favorite toppings. Each of 200 randomly selected customers at an ice cream parlor was asked to pick their favorite flavor from vanilla, chocolate, chocolate chip, or none of these. They were also asked to pick their favorite topping from chocolate sauce, peanuts, crumbled cookies, crushed candies, or none of these. The hypothesis test had a test statistic of 24.97 with an associated p-value of 0.015. If the significance level of the test was a = 0.05, which of the following is the correct decision for this hypothesis test?
A. There is not convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
B. There is convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
C. There is convincing statistical evidence to suggest there is not an association between favorite ice cream flavor and favorite topping.
D. There is proof that a person's favorite ice cream topping is dependent on the person's favorite ice cream flavor.
E. There is proof that a person's favorite ice cream topping is independent of the person's favorite ice cream flavor.

Answers

Answer:

B

Step-by-step explanation:

I hope it is correct :)

Answer:

The answer is definitely B

Step-by-step explanation:

I just did this question on my test.

3392 divided by 56 x 986 -34 help​

Answers

Answer:

59,689.43 (rounded)

Step-by-step explanation:

I cN explain how to get to the answer if you'd like

Help me please sjsjdjs it’s due in a few minutes

Answers

Answer:

The answer is the 3rd dot.

Step-by-step explanation:

hope this helps

Answer:

The one right below 8

Step-by-step explanation:

-7x + 2y = -5
y = -7x + 8
explain how please

Answers

Answer:

x = 1 and y =1

Step-by-step explanation:

y = -7x + 8

sub into other eq

-7x + 2(-7x + 8) = -5

-7x - 14x + 16 = -5

-21x = -21

x - 1

y = -7(1) + 8

y = 1

what's a rational number between 13 and 21

Answers

Answer:

21

Step-by-step explanation:

LOOK AT THE PHOTO HELP ME PLEASE

Answers

Answer:

30°

Step-by-step explanation:

[tex] m\angle 2=m\angle 3[/tex]

(Alternate angles)

[tex] \because m\angle 3 =30\degree [/tex] (Given)

[tex] \therefore m\angle 2 =30\degree [/tex]

please answer fast :)

Will says you cannot use a graphing calculator to graph a line when the equation is in point slope form. Explain Will's reasoning. How could you modify an equation given in point-slope for so that you could graph the line on a graphing calculator? Use the equation y - 2 = -3(x + 5) as an example in your explanation.

Answers

Answer: y-2=3x-15 that’s wher my knowledge stops hopefully that helps a little. ‍♀️

10 points is all i have. PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

Answer:

Look Below

Step-by-step explanation:

2. X - 5 = -2 / X = 3

3. 2X = 10 / X = 5

4. 5X + 10 = 10 / X = 0

If you find any fault in my answers please let me know! Thanks! Have a good day! Hope this helps!

A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?

Answers

Answer:

6  5

Step-by-step explanation:

4 5  6 7

Gaelle Bosquet Nth Term of an Arithmetic Sequence Apr 10, 12:29:36 AM Find the 60th term of the arithmetic sequence 4,-1,-6, ... Answer: Submit Answer

Answers

Answer:

The nth term is [tex]a_n = 4 - 5(n-1)[/tex]

The 60th term of the sequence is -291.

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.

The nth term is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

4,-1,-6

The common difference is:

[tex]d = -1 - 4 = -5[/tex]

First term [tex]a_1 = 4[/tex]

So

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = 4 - 5(n-1)[/tex]

60th term:

[tex]a_{60}[/tex]. Si

[tex]a_{60} = 4 - 5(60-1) = -291[/tex]

The 60th term of the sequence is -291.

if the value of 12.5% equals 4,000, what is the value of 87.5%?​

Answers

Answer:

12.5%*7=87.5%

4000*7=28000

28000

Answer:

28,000

Step-by-step explanation:

Since 4,000 is 12.5%, you can divide 87.5/12.5 to see how many times 12.5 goes into 87.5, which is 7 times. so then since you need to find the value of how much 87.5% is, then you can multiply 4,000 by 7 since 7 is 87.5 percent, leaving us with 28000

Solve each of the following equations. Show its solution set on a number line. 5− p+6 =−8

Answers

5-|p+6|=-8

5-distance=-8= distance of them= 13

|p+6|=13

distance between/from p and -6

= -19 or 7,

So

Please Make me the brainliest pls

The diameter of a circle is 10 ft. Find its area to the nearest tenth.

Answers

Answer:

15.70

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10

Sub: a = (3.14)r²

Find r.

r = 10/2

r = 5

Sub: a = (3.14)5²

Simplify: a = (3.14)25

Solve: a = 78.5

The answer is 78.5.

If this truly helped you, help me out by thanking me.

-Xax.

simplify the following indices :
6²×3²×3³×6⁴

Answers

Answer:

The answer is 11,337,408

Step-by-step explanation:

6^2 = 36, 3^2 = 9, 3^3 = 27, and 6^4 = 1296.

when you multiply them all together, you get 11,337,408.

Help!
Find the measures of the indicated angle in the parallelogram

Answers

The internal angles of a parallelogram add to 360 degrees. A parallelogram must have equivalent opposite interior angles. Therefore angles a and c are the same and angles b and d are the same. We now know that angles a and c add to 102 degrees so we do (360-102)/2. Which is 129 degrees for both angles. The answer is 129 degrees for angle b

Daija wants trim 3.5centimetes from her hair how should she move the decimal point to convert this number to millimeters

Answers

9514 1404 393

Answer:

  right

Step-by-step explanation:

1.0 cm = 10. mm  . . . . . .  the decimal point is moved to the right

3.5 cm = 35. mm . . . . . . the decimal point is moved to the right

what is the value of A when we rewrite (32/5)^-2x as A^x​

Answers

Answer:

[tex](\dfrac{25}{1024})^x[/tex]

Step-by-step explanation:

The given expression is :

[tex](\dfrac{32}{5})^{-2x}[/tex]

We need to rewrite it in the form of [tex]A^x[/tex].

We know that, [tex](\dfrac{1}{x})^{-a}=x^a[/tex]

So,

[tex](\dfrac{32}{5})^{-2x}=(\dfrac{5}{32})^{2x}\\\\=(\dfrac{5^2}{32^2})^x\\\\=(\dfrac{25}{1024})^x[/tex]

So, [tex]A=\dfrac{25}{1024}[/tex]. Hence, this is the required solution.

Answer: A = (32/5)^-2

Step-by-step explanation:

Find the ratio of the areas.

Answers

9514 1404 393

Answer:

  3 -2√2

Step-by-step explanation:

For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...

  small area / large area = (1/(1+√2))^2 = 1/(3+2√2)

  small area/large area = 3 -2√2

_____

The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.

At a school carnival, 51 out of 68 tickets sold were early-admission tickets. What percentage of the tickets were early-admission tickets?

Answers

Answer:

75% of the tickets sold were early-admission

Simplily divide 51/68

NEED HELP (+50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROFILE

Sow work and round to the nearest tenth.

Answers

5ft is the answer to your question
P=2ftB=3ftH=?

Using Pythagorean theorem

[tex]\\ \qquad\quad\sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H^2=2^2+3^2[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H^2=4+9[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H^2=13[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H=\sqrt{13}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H=3.2[/tex]

Determine if each set of coordinates form a horizontal or vertical line.
a. (-3, 6) & (-3, 2)
b. (8, 4) & (-3, 4)
c. (11, -5) & (-9, -5)
d. (9, -3) & (9, -12)

Answers

Answer:

a. vertical

b. horizontal

c. horizontal

d. vertical

Step-by-step explanation:

if the x coordinate changes it's horizontal and if the y coordinate changes it's vertical

In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 points so far. write and solve the inequality that models this situation and found out how many points Sarah needs for the last part of her project to get an A

Answers

A=160-125
A=35
The answer is she needs 35 more points to get her A
Other Questions
Please awnser this for me discuss two ways in which some cultural views that exist may affect a relationship negatively What is the measure? Need the answer for x and y What is included in Earths hydrosphere? "Market Equilibrium" is...A. The quantity where no more buyers want to buy stockB. The price range where the quantity supplied equals the quantity demandedC. What happens when there are the same number of buyers and sellersD. Where the most trades are made Graded AssignmentUnit Assessment: In Western Europe, Part 21. Write a short paragraph, no less than four sentences, about the problems faced by western Europe following the fall of the Roman Empire. Be sure to include at least two direct problems and how they negatively impacted Europe. (Unit 12 Lesson 1)Type your answer here. 2. Briefly answer the following questions about the Magna Carta.(a) Describe the main reasons the Magna Carta was written.Type your answer here.(b) What were the key arguments of the Magna Carta?Type your answer here.(c) What was the Magna Carta's effect on future political thought?Type your answer here.help plzzzzzz its due today plzzzz no guessing help, please .................. PLSS HELPWhy are people addicted to mobile legends(4 sentence) PLS HELP IF ENGLISH IS UR FIRST LANGUAGE THIS IS EXTREMELY EASY1. My brother won't borrow me his guitar. a) correctb) incorrect2. Do you mind if I use your pencil? a) correctb) incorrect3. I was watching a movie when mum was reading a book. a) correctb) incorrect What comes next in the pattern?12,16,20A. 10B. 22C. 23D. 24 Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.(will give brainiest if answered correctly, if you just comment something wrong and a waste of time that is a report) Helppp I need to finish this !!!!! --_____ est mi libro?--Tu libro est debajo de la silla. A smaller triangle is four times smaller than a larger triangle. If the smaller triangle has a measurement of 10.47 mm for its longest side. What is the measurement of the longest side of the larger triangle? A. 40.78 cm B. 40.88 cm C. 41.78 cm D. 41.88 cm I dont get this at all. Read the excerpt from President Ronald Reagans Address at Moscow State University.But progress is not foreordained. The key is freedomfreedom of thought, freedom of information, freedom of communication. The renowned scientist, scholar, and founding father of this university, Mikhail Lomonosov, knew that. "It is common knowledge," he said, "that the achievements of science are considerable and rapid, particularly once the yoke of slavery is cast off and replaced by the freedom of philosophy." You know, one of the first contacts between your country and mine took place between Russian and American explorers. The Americans were members of Cook's last voyage on an expedition searching for an Arctic passage; on the island of Unalaska, they came upon the Russians, who took them in, and together with the native inhabitants, held a prayer service on the ice.In this excerpt, President Reagan expresses his opinion that the key to progress is freedom. This isa substantiated opinion because Reagan quotes an expert.a substantiated opinion because Reagan lists many freedoms.an unsubstantiated opinion because Reagan shares personal feelings.an unsubstantiated opinion because Reagan gives a historical example BAC tests are given by Law Enforcementthe field sobriety test.A. beforeB. afterC. during Saturated Fats are... 7. A parabola has a maximum or minimum point called theThis is the point where thecurve changes direction. If the parabola opens up, the vertex is thepoint. If it opensdown, it is thepoint.a) Axis of symmetry, minimum, maximumb) Vertex, maximum, minimumc) Axis of symmetry, maximum, minimum d) Vertex, minimum, maximumPlease just type which letter ASAP, no links.