Write the function that models the relationship. z varies directly with x and inversely with y, and z = 10 when x = 5, y = 2

Answers

Answer 1

Answer:

z = [tex]\frac{4x}{y}[/tex]

Step-by-step explanation:

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

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

To find k use the condition z = 10 when x = 5 and y = 2, then

10 = k × [tex]\frac{5}{2}[/tex] ( multiply both sides by 2 to clear the fraction

20 = 5k ( divide both sides by 5 )

4 = k

z = [tex]\frac{4x}{y}[/tex] ← equation of variation

Answer 2

The function that models the asked relationship is 4x / y

What is variation?

A variation is a relation between a set of values of one variable and a set of values of other variables.

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

z = (k × x) / y, where, k is the constant of variation

Finding k by using the condition z = 10 when x = 5 and y = 2, then

10 = (k × 5) / 2

20 = 5k

k = 4

Therefore, the equation of variation is 4x / y

Hence, the function that models the asked relationship is 4x / y

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Related Questions


Simple flying products and cautions of powers HELP PLZ

Answers

Answer:

m a t h  w a y

Step-by-step explanation:

Answer:

10 and 6

Step-by-step explanation:

Exponents multiplied ⇒ powers add up

Exponents divided ⇒ powers subtracted

a = 2 + 8 = 10b = 10 - 4 = 6

Can someone please help me outt

Answers

Answer:

ASA

Step-by-step explanation:

We can see that the triangle has at least one similar side and one similar angle. We can also see that the triangles meet at a point, so they must have the same angle at that point where they connect. So that leads us to our answer being ASA since they have two similar angles and one similar side. This is the answer that I think is correct just by looking at the image. I haven't take this class since last year, so this is simply from memory. Correct me if I am wrong!

ILL GIVE BRAINLY POINTS FOR THIS PLEASE HELP AND HURRY TO THANK YOUU

Answers

Answer:

1

Row 1: 445

Row 2: 541

Row 3: 637

2

349 + 4.80n

3

135

Step-by-step explanation:

1

For this, use the equation I gave you above to find the costs.

2

First, the cost of the printer will NOT change, for the number of printers Eddie needs to buy does not change, he only needs one. This already helps you figure out that 349 is not a coefficient to the variable, n. However, when it comes to the number of blank shirts Eddie needs to buy, the number of he gets does change, this is the dependent variable that makes the cost vary. Using the equation above, you can plug in any number.

For example, 20.

349 + 4.80(20) = 445

3

For this final part, I just kept using the equation until I got the closest number that is lower than 1000. In this case, 135 got me 997, and 136 was just a few decimals away from 1000, but it was still over.

Answer:

i donno

Step-by-step explanation:


You have decided to kick your Starbucks/Dutch Bros/Roaster's habit of buying a $5 drink every day. How much money would you have in your account if you deposited $5 each day in an account compounded daily earning 3% for 5 years?
show the work ​

Answers

ummmmmm i have like no idea so like yeaaa

What's .99% x 10?
......

Answers

Answer:

My mom

Step-by-step explanation:

Answer: 0.099 i might be wrong so sorry if i am:/

Also i hope your day is going well UvU

here is a meme below to brighten your laughter

INTRODUCING LAYS NEW BRAND

Solve for y. 5x+4=y pls

Answers

Y=0.8 in fraction 4/5

This parallelogram has 4 equal angles, but
not 4 equal sides. What is its name?​

Answers

Answer:

It's a Rhombus!

The answer should be A Rhombus

The local newspaper has letters to the editor from 80 people. If this number represents 5 ​% of all of the​ newspaper's readers, how many readers does the newspaper​ have?

Answers

Answer:

The newspaper has 1,600 readers.

In a proportional relationship, y=2 when x=8. Which of the following equations would
describe this relationship?

Answers

Answer:

2. (1) [tex]30[/tex]

3. (1) [tex]y=\frac{1}{4}x[/tex]

4. a) [tex]y=x+6[/tex]   b) [tex]42[/tex]

Step-by-step explanation:

In a proportional relationship, y=2 when x=8, the following lines will show this relationship,

1.   y = 1/4x

2.  y = x - 6

4.  y =  1/2x - 2

What is the equation of line?

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

The point,

x = 8 and  y = 2

We have to check all the given options,

1.   y = 1/4x

     y  = 1/4 × 8

     y  =  2

2.  y   = x - 6

         = 8 - 6

    y   =  2

3.  y   = 4x

         = 4 × 8

    y   = 32

4.  y   = 1/2x - 2

         = 1/2 × 8 - 2

         =  2

Hence, Option 1, 2, & 4 satisfies the given condition

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457Δ is a 4-digit number with one of its digits represented by Δ. 457Δ is divisible by 3. Which of these is also a number divisible by 3?

Answers

Answer:

by divisibility rule of 3 for a no. to be divisible by 3 there is necessary condition that sum of all digit is divisible by 3.

so ans is 2 (smallest digit)

Which equation represents a nonlinear function?
O A. 7x - 3y = 0
O B. X = 12y - 4
O C. 9xy = 19
O D. X + 7 = 0

Answers

I think the answer is B because that is the only answer that could make sense.

Can anyone help me with this?

Answers

Answer:

12/9 = 4/3 = 1 1/3

B is your answer

Answer:

B.)

YA HUR

GL :)

Jenny is saving for a vacation to the beach. How much interest will she earn if
she invests $600 at 4.25% simple interest for 10 years?

Answers

Answer: 909.73
600*1.0425^10

what is hcf of 5 and 0 ?

if you are correct then you're a genius ​

Answers

Answer: Factor of 0

For example, 5 × 0 = 0 so it is true that 0 ÷ 5 = 0. In this example, 5 and 0 are factors of 0. GCF(5,0) = 5 and more generally GCF(k,0) = k for any whole number k. However, GCF(0, 0) is undefined.

Step-by-step explanation:

Answer:

Find the LCM

The LCM of

0,5 is 5.

Greatest common divisor is the largest number which divides two given numbers say 'a' & 'b'

Now let's say a=0 and b= 5

We know that: anything × 0 =0

Therefore 0÷5=0

In other words 5 is a divisor of 0

and 5 is the largest number which divides 5...

Therefore 5 is the greatest common divisor of of 0 and 5Or gcd(5,0)=5

Common divisors of 0 and 5 = 1,5 [0=1*0 ; 5=1*5] and [0=5*0 ; 5=5*1]

Step-by-step explanation:

Hope it is helpful....

The dimensions of a square are 50 feet X
50 feet. Find the total area of the square.

Answers

Answer:

2500 square feet

Step-by-step explanation:

We know that the area of a square is = a*a

here a= 50 feet

area= 50*50

=2500 square feet.

The cost of a house is 13% in one year. The original price was 75,000. Find the cost of one year later

Answers

Answer:

The cost of the house after one year = 84,750 rupees

Step-by-step explanation:

Explanation:-

Given that the cost of house = 13% in one year

Given that the house original price = 75000

We have to find that the house cost after one year

Solution:-

The cost of a house increase 13% per year

                        = 75000 X 0.13

                       = 9750

The total cost = 75000+9750

                      = 84,750 rupees

Final answer:-

The cost of the house after one year = 84,750 rupees

Simplify y + y + y to produce an equivalent expression:

Answers

Answer:

y + y+ y is 3y

Step-by-step explanation:

3y
Add the amount of y’s
Also add the variable which is y.
y + y + y = 3y

• Aki scores twice as many points as Tyani.
• Tyani scores four points fewer than Nekeisha.
• Nekeisha scores three times as many points as
Mariana.
If Mariana scores 5 points, how many points did Aki
score?

Answers

Answer:

22

Step-by-step explanation:

reverse the order

(5×3)=15

(15-4)=11

(11×2)=22

The number of points Aki scored is 22 points.

Given that, Aki scores twice as many points as Tyani.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The numerical expression for the given situation is as follows:

Given that, Mariana scores 5 points

Nekeisha scores three times as many points as Mariana.

5×3=15

Tyani scores four points fewer than Nekeisha.

15-4=11

Aki scores twice as many points as Tyani.

11×2=22

Hence, the number of points Aki scored is 22 points.

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expand 5⁴ WHAT IS THE ANSWER​

Answers

Answer:

5x5x5x5=625

:)

5. John wants to make a scale drawing of a Dodge Viper. The length of the car is
approximately 9.5 feet. If he used a scale of 1 inch = 2 feet then what would the
length of the car be in the drawing?

Answers

Answer: 2.375 in

Hope this helps (:

Answer:

2.375 inches

Step-by-step explanation:

for every 2 feet, that is equivalent to 0.5 inches in the drawing. so count how many 2 feet in 9.5 feet first. there are 4.75.

mutiply 4.75 now by 0.5

that is 2.375 in inches

   

H E L P M E P L E A S E

Answers

Answer:

B: 56 ounces no hate If I am wrong :)

It’s 56 because you have two 8 ounce servings in one pound. Every pound is 2 8 ounce servings so you would multiply 28 by 2 to get y r answer. 56

Help for Financial algebra problem!
Close up on the fractions:
7/e - 1/2 =5/e

Answers

The solution is E=4. Hope this helps.
The anwser is 4 , okey

Matthew invested $5,300 in an account paying an interest rate of 2.1% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $6,020?

Answers

Answer: it would be 6

Step-by-step explanation

Delta math

Based on the information for the value of the account to reach $6,020? given it will take 6 years.

Value of account:

Let x represent the number of years

(2.1%×5,300)x+5,300=6,020

111.3x+5,300=6,020

Collect like terms

111.3x=6,020-5,300

111.3x=720

Divide both side by 111.3x

x=720/111.3

x=6 years

Inconclusion for the value of the account to reach $6,020? given it will take 6 years

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Solid A is dilated using a scale factor of 2/5, resulting in Solid B. Solid B is also dilated using a scale factor of 2/5, resulting in Solid C. If the volume of Solid B is 72 3, what is the volume of Solid A and Solid C? Answer:

Answers

The answer is A hope it helps

Suzy is competing in a 651 mile long-distance bicycle race. In the first 3 and 1/2 hours she completed 54 and 1/4 miles. If she plans to ride 7 hours per day, how many days will it take for her to complete the race at that pace?

Answers

Answer: 6 days

Step-by-step explanation:

1. Multiply 54 1/4 by 2 (We are multiplying my 2 because 3 1/2 hours is half of 7 hours, so you have to multiply to see how much Suzy rode for 7 hours.

2. Now, divide 651 by the answer you get in step 1 to get your answer (simplify if necessary.)

=> 54 1/4 * 2 = 108 1/2

=> 651 / 108 1/2 = 6

I might be wrong but I hope this helps :)

[tex]y=-4/3x+4[/tex]

Answers

x= 3 :)) I hope the answer helped
Slope: -4/3
Y-intercept: 4
X-intercept: 3

Solve for x 1/3 (x - 7) = -2 Enter your answer in the box. X =​

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The area of the rectangle shown is 32x^2 + 12 If width can be represented by 4x, write an expression to represent the length of the rectangle

Answers

Answer:

L=(8x^2+3)/x

Step-by-step explanation:

The area of a rectangle is length time width.

A=LW

In this case,

A=32x^2+12

W=4x

Solve for L

L=A/W

Substitute

L=(32x^2+12)/4x

L=(8x^2+3)/x

WILL MARK YOU BRAINLIEST

Answers

Answer:

see in the picture, we have:

P is the midpoint of AB

Q is the midpoint of CD

=> PQ is the median line of the trapezoid ABCD

=> PQ = (BC + AD)/2 = (54 + 33)/2 = 43.5

6x244 by showing answer

Answers

Answer:

1464

Step-by-step explanation:

do:

200x6

40x6

4x6

then add them

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