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

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

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

HELP PLEASE DUE TODAY

Answers

second one 1/2 I had this assignment

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

Please I need this today!! Thank you!!

Answers

Answer:

I suck I wish I can help to

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]



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

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

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

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 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! :)

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

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

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!:)

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]

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 !!

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

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


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

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 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:

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

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.

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:


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

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

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

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

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

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

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