the value of x varies directly with y and inversely with z. when x=4,and y=12, z=6. what is the value of k?
A. K=6
B. K=2
C. K=18
D. K=288

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Given x varies directly with y and inversely with z then the equation relating them is

x = [tex]\frac{ky}{z}[/tex] ← k is the constant of variation

To find k use the condition when x = 4 and y = 12, z = 6 , then

4 = [tex]\frac{12k}{6}[/tex] ( multiply both sides by 6 )

24 = 12k ( divide both sides by 12 )

2 = k → B

Answer 2

The value of the constant 'k' will be 2. Then the correct option is C.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The value of x varies directly with y and inversely with z. Then the proportionality is written as,

x ∝ y                 ...1

x ∝ 1 / z            ...2

Then the combined proportionality is given as,

x ∝ y / z

x = ky / z

At x = 4, y = 12, and z = 6, then the value of the constant 'k' will be given as,

4 = 12k / 6

Simplify the equation, then the value of the constant 'k' is calculated as,

4 = 12k / 6

4 = 2k

k = 4 / 2

k = 2

The worth of the steady 'k' will be 2. Then, at that point, the right choice is C.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2


Related Questions

x + 17 = 23
Need help

Answers

Answer:

lol it's x =6

Step-by-step explanation:

hope this helps

Answer:

x = 6

Step-by-step explanation:

x+17=23

17-17 = 23 - 17        17 cancels

x = 6

1/5 + (-4/5) please help me

Answers

Answer:

when added we get -0.6

Step-by-step explanation:

so -0.6 is your answer!

Answer:

-3/5

Step-by-step explanation:

A new gaming system costs $350. A store offers a 20% discount on the new gaming system. What is the amount of the discount?

Answers

Answer:

70

Step-by-step explanation:

Answer: $70

Step-by-step explanation:

1. Make an equation: since 100% price is equal to $350, you can make this ratio => 100:$350=80:$x

x stands for the cost after 20% discount.

2. Solve by cross multiply: 350*80=100x => 28000=100x => x=280

3. Subtract : to find the amount of discount, subtract the discounted price from the original price => 350-280=70

Have a nice day! :D

What is the measure of ∠AZB in the figure?

Answers

Answer:

m∠AZB = 129°

Step-by-step explanation:

From the figure attached,

m∠AZB = m∠AZC + m∠CZB

It's given that measure of angle AZC = 90°

And measure of ∠CZB = 39°

Therefore, m∠AZB = 90° + 39°

                                = 129°

A local pizza shop has a membership program for frequent buyers. The
costs $25 per month and members get a discounted price of $1 per slice of pizza.
Montraie purchased a membership to this pizza shop. How much would Montraie
have to pay the pizza shop if he bought 13 slices of pizza this month? What would be
the monthly cost for slices of pizza?

Answers

Answer:

13 bucks would be the answer hope this helped

I need to factor this ​

Answers

Answer:

10(y+28)

Step-by-step explanation:

im factoring  : 44+10y+24

to get this : 10y+280

final answer :=10(y+28)

______________________

Hope this helps!

*sorry im a little late on the answer :D



WILL GIVE BRAINLIEST

Answers

Answer:

10

Step-by-step explanation:

5+ x= 3x - 21+6

5+21-6= 3x-x

20=2x

x=20/2

x=10

What is the common ratio for this geometric sequence!
27, 9, 3, 1, ...

Answers

Answer:

1/3

Step-by-step explanation:

The ratio is 1/3 because it's just like dividing 27/3 = 9  and so on.

HELP PLEASE DUE TODAY

Answers

second one 1/2 I had this assignment

Write an equation of the line that passes through (-6,0) and (0,-24)

Answers

-24/-6= 4 y-0=4(x+6) y=4x+6

EXTRA POINTS IF U CAN ANSWER THE QUESTION CORRECTLY (no links)

Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?

Pls hurry !

Answers

Answer:

4.5

Step-by-step explanation:

no explanation necessary

Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle.

11, 13, 25

A) Not a triangle
B) right
C) acute
D) obtuse

Answers

Answer:

the triangle is an acute triangle

Please answer this quickly it’s for a test!

Answers

The answer to your question is C

Answer: I think its D, not positive though.

Step-by-step explanation:

Please I need this today!! Thank you!!

Answers

Answer:

I suck I wish I can help to

Laura borrowed $48,000 at a 6% interest rate for 6 years. what was the total interest?

Answers

Answer:

$17,280

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 48000

r = 0.06

t = 6

Work:

I = (48000)(0.06)(6)

I = 17280

A new high definition TV is on sale for $240, reduced 25% from its original price. What was the
original price?
Help pleaseee

Answers

Answer:

$320

Step-by-step explanation:

To find the original price, divide 240 by 0.75

240/0.75

= 320

So, the original price is $320

Answer:

The original price was $320 dollars

Step-by-step explanation:

25% of 320 is 80.

320 - 80 = 240.

So, the answer is 320.

Hope this helps! :)

in the figire shown, t || x and k || w and m<3=20°. Choose the list which includes all of the other angles that measures 20°​

Answers

Answer: (d)

Step-by-step explanation:

Given

[tex]\angle 3=20^{\circ}[/tex]

from the figure, we can write

[tex]\angle 1=\angle 3\quad [\text{vertically opposite angles}][/tex]

[tex]\angle 3=\angle 7\quad [\text{corresponding angles}]\\\angle 5=\angle 7\quad [\text{vertically opposite angles}][/tex]

[tex]\angle 1=\angle 16\quad [\text{corresponding angles}][/tex]

Also,

[tex]\angle 16=\angle 14\quad [\text{vertically opposite angles}][/tex]

[tex]\angle 14=\angle 9\quad [\text{corresponding angles}][/tex]

[tex]\angle 9=\angle 11\quad [\text{vertically opposite angles}][/tex]

11. < ABE and < DBE are supplementary
angles. If the measure of < ABE is 61, what
is the measure of < DBE?

Answers

Answer:

119°

Step-by-step explanation:

< DBE = 180° - < ABE

or, < DBE = 180° - 61°

or, < DBE = 119°

hope it works, fanks !!

someone please help me solve this: - 2x + 10 + 5x = 40​

Answers

Answer:

X=10

Step-by-step explanation:

So, -2x+10+5x=40. first we subtract ten from both sides, getting us to -2x+5x=30, then we subtract 2x from 5x, because its negative, getting us to 3x=30, basically x=10.

ANSWER:
x=10

STEP BY STEP:
look at image for step by step


PLEASE HELP IM A FAILURE

Answers

Answer:

B

Step-by-step explanation:

B ask me 4 help i got your back..dont want you to fail.

Bro it is letter B and it’s is the right answer

x/2+ 1 = 9
options:

x = 16

x = 20

x = 4

x = 5

Answers

X=16


16 divided by 2=8+1=9

Hope this helps!:)

Enter non-integer answer as a decimal.

**Notice, it is going to hit right at the point (8,175) where the arrow touches**

Answers

Answer:

Step-by-step explanation:

mi/gal=175/8, as a decimal

21.875 mi/gal

Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units. What would be the perimeters of the other rectangles Corbet could make using only these 24 tiles? How do the areas of the rectangles compare? Explain.

Answers

Answer:

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Step-by-step explanation:

Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.

To find -  What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?

Proof -

We know that

Are of Rectangle = Length × Breadth

And Perimeter of Rectangle = 2 (Length + Breadth )

Now,

Given that,

Orbet used 24 square tiles

And perimeter of the rectangle made = 20

So,

Possible Length of rectangle = 6

Possible breadth of Rectangle = 4

Or Vice-versa.

Total number of Rectangles possible = 4

Possibilities are -  1 × 24, 2 × 12, 3 × 8, 4 × 6

Case I :

Length of rectangle = 1

Breadth of rectangle = 24

∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units

Area of rectangle = 1 × 24 = 24 unit²

Case II :

Length of rectangle = 2

Breadth of rectangle = 12

∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units

Area of rectangle = 2 × 12 = 24 unit²

Case III :

Length of rectangle = 3

Breadth of rectangle = 8

∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units

Area of rectangle = 3 × 8 = 24 unit²

Case IV :

Length of rectangle = 4

Breadth of rectangle = 6

∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units

Area of rectangle = 4 × 6 = 24 unit²

∴ we get

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²


B. Paula's Flower Shop has 246 tulips. The tulips need to be arranged in large vases that hold
exactly 8 flowers
.
How many large vases can be filled with 8 flowers each?
Will there be any leftover tulips?
• If so, how many?

Answers

30 full vases and 6 remaining

PLS HELP! WILL MARK BRAINLIEST
Find x. Round to the nearest tenth.

A) 500.1 m
B) 502.4 m
C) 505.8 m
D) 507.2 m

Answers

Answer:

B)502.4

i tried it that what i got i don't know about u

Find measure of angle 2 - can someone help???

Answers

Answer:

44

Step-by-step explanation:

Answer:

[tex] m\angle 2 = 88\degree - m\angle 1 [/tex]

Step-by-step explanation:

[tex] m\angle 1 + m\angle 2 = m\angle WUV[/tex]

[tex] m\angle 2 = m\angle WUV- m\angle 1 [/tex]

[tex] m\angle 2 = 88\degree - m\angle 1 [/tex]

Edgar and his older sisters, Diana and Katy, are going to visit their grandmother. Edgar is too young to drive, so Diana and Katy each drive the same amount of time to complete the 5-hour trip. How long does each of Edgar's sisters drive?

Answers

Answer:

2.3 hours or 2 hours and 30 minutes thinkkk

is there another word for synonym?????

Answers

Answer:

exactly, or nearly the same

Step-by-step explanation:

The word synonym means the same word of...

The word antonym means the opposite word of...

Hope that helps

Recipe calls for 2 tablespoons of orange juice a can of orange juice 21 fluid ounces how many tablespoons are there in the can

Answers

Answer:

42 tablespoons

Step-by-step explanation:

a tablespoon is 1/2 a fluid ounce.

so, 21x2= 42

Please guys help me with this question. I will give you the brainliest if you give me the correct answers. ​
Please show the working

Answers

Answer:

(a) She is 280m from her starting position

(b) 200m west then 80m south

Step-by-step explanation:

(a) 80m + 200m

= 280m

(b) First she walked 80m north n 200 east

If she want to get back to her starting position she will have to travel the same distance in the opposite direction

Opposite of East is West n opposite north is south

so she will have to go 200m west n then 80m south

Other Questions
answer algebra 1 problem below can i have some help? finf the total surface area of a cylinder with a base radius of 5 inches and a height of 5 inches A bowling ball rests on the floor. The bowling ball is given a push.Which of the following is the most likely change to happen to the bowling ball?It will move.It will gain mass.It will change colors.It will change shape. please help MATHEMATICS Select the sentence which is correctly punctuated.Tomorrow's talent show will include singing, juggling, joke, telling, and pantomime.Tomorrow's talent show will include singing, juggling, joke telling, and pantomime.Tomorrows talent show will include singing, juggling, joke telling, and pantomime. What is the solution to this system of equations?6.2-3y = 12y = 2x- 4 https://cantonschools.instructure.com/courses/1278/discussion_topics/14354 If GDP is confidently expected to grow at a rapid 4% rate this year, how do you predict investment spending will change? Is it likely to grow faster than, slower than, or at the same rate as GDP? Why? Based on this expectation, investment spending is likely to by 4%. A rapidly growing economy will generally make business people optimistic, expectations about potential future profits. As a result, they are eager to invest. The cells produced by the lymph nodes are ____.A. White blood cellsB. Red blood cellsC. OsteoblastsD. Osteocytes What DNA sequences control when and where the gene is turned on ? Which option best revises the sentence to convey the same meaning usingmore formal, domain-specific vocabulary?Lewis Latimer came up with the idea for the string thing that makes alightbulb light up when it gets connected to something that makespower flow through it.O A. Lewis Latimer figured out how to make a light burn better andbrighter by using a filament.B. Lewis Latimer dreamed up the concept of using a carbon-basedthread to help a light provide incandescence to surroundingaccommodations.C. Lewis Latimer invented the carbon filament, which glows whenelectrified within a lightbulb.D. Lewis Latimer made an important invention regarding the.lightbulbthat improved it by using a string thing made of carbon, whichlights up a room when electricity is turned on. Who went and explored the Louisiana Purchase? o Congress O Lewis and Clark O Napoleon O Jefferson Tell whether the angles are adjacent or vertical. Then find the value of x. PLSS HELP THIS IS DUE TODAY What are TWO reasons that would make you believe the results of this study? Heparin, a highly negatively charged glycosaminoglycan, is used clinically as an anticoagulant. It acts by binding several plasma proteins, including antithrombin III, an inhibitor of blood clotting. The 1:1 binding of heparin to antithrombin III seems to cause a conformational change in the protein that greatly increases its ability to inhibit clotting. What amino acid residues of antithrombin III are likely to interact with heparin HELPPPP PLEASEE 50 POINTSA graph labeled Solubility versus Temperature for a variety of salts has Temperature from 0 to 100 on the x axis and solubility in grams per 100 grams of water from 0 to 90 on the y axis. 5 solutes are shown. All data are approximate. Upper N a Upper C l starts at (0, 35) and rises evenly across the graph to (100, 40). Upper N a Subscript 2 Baseline Upper H Upper A s Upper O Subscript 4 Baseline starts at (0, 8), and rises steadily through (30, 38) to (80, 85). Upper B a (Upper N Upper O Subscript 3) Subscript 2 Baseline starts at (0, 5) and rises steadily across the graph to (100, 33). Upper N a Subscript 2 Baseline Upper S Upper O Subscript 4 Baseline starts at (0, 5), curves up steeply to (30, 50), and declines slowly to (100, 43). Upper C e Subscript 2 Baseline (Upper S Upper O Subscript 4) Subscript 3 Baseline times 9 Upper H Subscript 2 Baseline Upper O starts at (0, 19), falls to (20, 10), and continues to decline to (100, 0). What is the solubility of Na2HAsO4 at 60C?20 g/100 mL of water46 g/100 mL of water65 g/100 mL of water70 g/100 mL of water M,p, and z represent the lengths of the three sides of this right triangle. Select all the equations that represent the relationship between m,p, and z . Select the correct answer. What is rising action? A. when the characters, setting, and any initial conflict are introduced B. when the action in the story starts to wind down and we learn about the consequences of events C. when the tension starts building and conflicts are added in the story D. when the story is at the most exciting point and the main conflict is at its greatest tension