if x=z+8 where z varies inversely as y and z=2 when y=3 find relation between y and x?​

Answers

Answer 1

Answer:

y = 6/(x - 8).

Step-by-step explanation:

z = k/y    where k is a constant

2 = k/3

k = 6.

So z = 6/y

and  x = 6/y + 8

Multiply through by y:

xy = 6 + 8y

xy - 8y = 6

y(x - 8) = 6

y = 6/(x - 8)


Related Questions

PLEASE HELP Michaels home is 12 feet below sea level in his mothers home is 12 feet above sea level Michael says their homes are at opposite elevation is because they are in opposite directions is he correct? Explain. I only have 2 more days to finish my work!​

Answers

Answer:

Yes, he is correct

Step-by-step explanation:

Represent Michael's home with M and his mother's with H

So, we have:

[tex]M = 12\ ft (below)[/tex]

[tex]H = 12\ ft (above)[/tex]

Required

Is Michael correct?

First, we get the numeric values of the given parameters.

Below sea level means negative:

So:

[tex]M = 12\ ft (below)[/tex] will be rewritten as:

[tex]M = -12[/tex]

Above sea level means positive:

So:

[tex]H = 12\ ft (above)[/tex] will be rewritten as:

[tex]H = 12[/tex]

Two numbers [tex]A\ and\ B[/tex] are said to be opposite if [tex]A + B=0[/tex]

For Michael to be correct:

[tex]M + H = 0[/tex]

Substitute values for M and H

[tex]-12 + 12 = 0[/tex]

[tex]0 = 0[/tex]

Hence, Michael is correct

evaluate :5+1/6(-5/3)

Answers

Answer:

Step-by-step explanation:

Use PEMDAS

First you do the multuplication of

1/6*(-5/3)=-5/18

Next you do the addition

5+(-5/18)= 90/18-5/18= 85/18

Solve the inequality:

2x+4 ≥ 24

x ≥ 10
x ≥ 6
x > 10
x < 10

Answers

You’re answer to this question is A
X is greater than or equal to 10

Please help!!! ASAP!

Answers

I’m pretty sure it’s the first one

According to Greg, perfect cherry pies have a ratio of
240
240240 cherries to
3
33 pies.
How many cherries does Greg need to make
9
99 perfect cherry pies?

Answers

7200 i think? your question is a little weird, but maybe this will help!

Answer:1200 pies

Step-by-step explanation: so like, its confusing with all this change into like weird stuff. but just multiply 240 by 5.



Solve the inequality

Answers

Answer:

C. y<-4

Step-by-step explanation:

y/-2+3<5y/-2<5-3y/-2<2y<2x-2y<-4

Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent $62 on 5 hostas and 4 pots of ivy. Danielle spent $144 on 8 hostas and 12 pots of ivy. What is the cost of one hosta?

Answers

Answer:

The cost of one hosta is $6

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the variables are:

x = price of a hosta .y = price of a pot of ivy.

If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62

If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144

So, the system of equations to solve is:

[tex]\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.[/tex]

One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.

Isolating y from the first equation:

[tex]y=\frac{62-5*x}{4}[/tex]

and replacing this expression in the second equation you get:

[tex]8*x +12*\frac{62-5*x}{4}=144[/tex]

Solving:

[tex]8*x +\frac{12}{4}*(62-5*x)=144[/tex]

8*x + 3*(62-5*x)=144

8*x + 3*62 - 3*5*x=144

8*x + 186 - 15*x=144

8*x  - 15*x=144 -186

(-7)*x= -42

x= (-42)÷ (-7)

x= 6

The cost of one hosta is $6

x = 1


x = 2


x = 3


x = 4

Answers

Answer:

x=-12.8 or −64 /5

Step-by-step explanation:

ok easy as pie

interior plus exterior is 180 degrees

so 180-130=50

we know the last angle = 50

now lets add them all up and they should be equal to 180

all traingles interior angles add up to 180

180=(-21x+1)+(11x+1)+(50)

now solve

180=-21x+1+11x+1+50

180=-10x+52

52-10x=180

subtract 52

-10x=128

-12.8=x

x=-12.8 or −64 /5

a bamboo shoot is 20 inches tall at day zero

Answers

Answer:

ok, and?

Step-by-step explanation:

Next time you post a question. Make sure it is complete

If 9 exercise books books cost N540.00 how many will 14 of such cost.​

Answers

Answer:

840

Step-by-step explanation:

im probably wrong

Answer: 14 books will cost 840$

Step-by-step explanation: 540/9=60

60= cost of individual book

60*14=840

840= cost of 14 books

Mr. T's Tea store has two kinds of tea. Tea A costs $9 per pound and Tea B cost $6 per pound. How many pounds of each should be combined to obtain 150 pounds of tea worth $8 per pound? ​

Answers

Answer:

y=447.3 pounds

x= 297.3 pounds

Step-by-step explanation:

Step one:

given data

Tea A costs $9 per pound and

Tea B cost $6 per pound.

let the number of pounds of Tea A be x

and for Tea B be y pounds

The total cost of the mixture = $8 per pound

hence

9x+6y=8---------1

The total weight of the mixture

150 pounds

x+y=150-----------2

Step two:

9x+6y=8---------1

x+y=150---------2

from eqn 2 x=150-y

put x= 150-y in eqn 1

9(150-y)+6y=8---------1

1350-9y+6y=8

1350-8=9y-6y

1342=3y

divide both sides by 3

y= 1342/3

y=447.3 pounds

put y= 447.3 in eqn 2

x+447.3= 150

x= 150-446=7.3

x= -297.3

x= 297.3 pounds

Adrianna and her friend rode the bus 13 times in a month and it cost $4 for each of them each time. If Arianna always paid for both of them, how much did it cost her for the month?

Answers

Add both of their costs which is 4+4=8 then multiply 8 times 13 gives you 104
$104
13x4x2
If she paid for both of them she would pay twice as much as she would for herself, so you can either multiply 13 by 8 or use the equation that I put above.

kjdhkdjfhgksdjghkdfs

Answers

Answer:

40 is the answer

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

the length of a rectangular feild exceeds its breadth by 15m and perimeter is 90m. Find its area​

Answers

Answer:

450

Step-by-step explanation:

Length = l

Breadth = b

l = 15 + b

Perimeter = 90

Perimeter = 2(l + b)

90 = 2(15 + b + b)

90 = 2(15 + 2b)

90 = 30 + 4b

90 - 30 = 4b

60 = 4b

60/4 = b

15 = b

Hence, l = 15 + 15 = 30

Area = l * b

Area = 30 * 15

Area = 450 unit²

Need help please !!!!

Answers

Answer:

3rd 1

Step-by-step explanation:

because ive done math for 17 years

CAN SOMEONE HELP ME HOW U DO THIS

Answers

Answer: 10% of 65.9

Step-by-step explanation:

Each person in a group of twenty people at a hotel orders one meal chosen from oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One person will be selected at random from the twenty people. What is the sample space for the meal and beverage for the person selected

Answers

Answer:

[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]

Step-by-step explanation:

Given

[tex]Meal = \{Oatmeal, Eggs, Pancakes\}[/tex]

[tex]Beverage = \{Coffee, Tea\}[/tex]

Required

Determine the sample space

The sample space is a list of combination of 1 meal and 1 beverage.

Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same

The sample space (S) is as follows:

[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]

Savannah wants to buy a new tablet that costs $140. She has a coupon expiring this week that is for 15% off any item. Next week, the tablet will be on sale for $125. When is it a better deal for Savannah to purchase the tablet, and why?​

Answers

Answer:

Its better to buy this week because it is cheaper with using coupon.

Step-by-step explanation:

140 x 0.85 = 119

125 > 119

To make a certain shade of green, Kyle mixes 2 cups of blue paint with 10 cups of yellow paint. If he needs to make more green paint but only has 1 cup of blue left, he will need cups of yellow paint​

Answers

Answer:

he will need 5 cups of yellow paint

Step-by-step explanation:

10÷2=5, and that means he will need 5 cups of yellow paint per one cup of blue paint

MULTIPLE CHOICE
What do you get when you subtract the actual
number from the estimated number?

A. Absolute Value
B. Error
C. Percentage error
D. Sum

Answers

Answer:

C

Step-by-step explanation:

When you subtract the actual number from the estimated number then, its called 'Error''.

Option B is true.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

You subtract the actual number from the estimated number.

Now,

We know that;

To find the error , we subtract the actual number from the estimated number.

Hence, We get;

After subtract the actual number from the estimated number, the result is called ''Error''.

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ2

The price of an item has been reduced by 85% the original price was $95 what is the price of the item

Answers

Answer:

14.25

Step-by-step explanation:

95 x 0.85 = 80.75

95-80.75 = 14.25

PLEASE HELP ME I ONLY HAVE 20 MINUTES!!!!

The height of a tennis ball
tossed into the air is modeled by h(x) = 40x -16x^2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground?

I’m pretty sure it’s D but I need an explanation why!!!

Answers

[tex]h(x) = 40x - 16x^2\\h(x) = 15\\40x - 16x^2 = 15\\-16x^2 + 40x - 15 = 0\\[/tex]

Using the quadratic formula we get

[tex]x_1 = 0.5\\x_2 = 2.04[/tex]

Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds

Which table represents a linear function?

Answers

Answer:

The fourth option, it's the only FUNCTION that is also not exponential

Step-by-step explanation:

What is 1+1 need the answer ASAP. ​

Answers

Answer:

Step-by-step explanation:

2

The answer would be 2

what is 15267 times 16459 then divide by 7? ​

Answers

Answer:

33297327

Step-by-step explanation:

(15267 * 15267) ÷ 7

= 15267 * 15267

= 233081289 ÷ 7

= 33297327

Hope this helps! :)

A sunflower grows at a rate of 4cm each day.
How many days does it take to grow from a height of 80cm to more than 1.06m?

Answers

Answer:

6.5 days

Step-by-step explanation:

106 - 80 =26

26/4= 6.5 days

Answer:

for 80cm

1 =4 cm

x=80cm

4 cmx=80 cm

4 cm. 4 cm

x=20 days

Step-by-step explanation:

1 is equal to 4cm

there x is equal to 80cm

cross multiply

then divid though by 4 because it has letter x

and finally you 20 days as your answer.

how many kilometers will a car travel in t hours at a rate of v km per hour​

Answers

Answer:

vt km

Step-by-step explanation:

t - time

v - velocity

s - displacement (aka how many killometers)

the formula for s:

s=v×t

A rectangular prism and its dimensions are shown in the diagram.

What is the total surface area of this rectangular prism in square inches?

Answers

Answer:

SA=78.5

Step-by-step explanation:

Find the area to all visible sides. 4*2.5=10, 10*2 (because there is two of these shapes) is 20. 4.5*4=18, 18*2=36. Finally, 4.5*2.5=11.25, 11.25*2=22.5.

20+36+22.5=78.5

What is 4/5 + 3/4 I need it for my homework

Answers

Answer:

4/5 + 3/4 = [tex]1\frac{11}{20}[/tex] or 1.55

Step-by-step explanation:

This can be solved by first finding the highest common factors of denominators of the two fractions, i.e. 4 and 5.

The highest common factor of 4 and 5 can be found by multiplying the two numbers as follows:

The highest common factor of 4 and 5 = 4 * 5 = 20

This can now be used to solve  4/5 + 3/4 as follows:

4/5 + 3/4 = ((4 * 4) + (5 * 3)) / 20 = (16 + 15) / 20 = 31 / 20 = [tex]1\frac{11}{20}[/tex] or 1.55

Therefore, we have:

4/5 + 3/4 = [tex]1\frac{11}{20}[/tex] or 1.55


y = 15x + 75

Interpret the slope

Answers

Answer:

15

Step-by-step explanation:

The equation of a line is y=mx+b

m= slope

m=15

slope =15

x-intercept(s): (−5,0)

y-intercept(s): (0,75)

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