If x varies inversely as y 2, and x = 2 when y = 20, find x when y = 5.

Answers

Answer 1

Step-by-step explanation:

[tex]x = \frac{k}{y} [/tex]

x varies inversely as y. This means that x is equal to the inverse of y which can be translated as x = 1/y but the problem said that x is not exactly equal to the inverse of y. Therefore, we need to introduce a factor k. Factor k will represent the word "varies" in the problem.

To illustrate:

[tex]x = \frac{k}{y} [/tex]

Since we don't have the value of k, we have to solve for it by using the first values of x and y which was given as x=2 and y=20.

[tex]x = \frac{k}{y} \\ 2 = \frac{k}{20} \\ k = 2(20) = 40[/tex]

Now that we have the value of k, we can now solve for the value of x when y=5.

[tex]x = \frac{k}{y} \\ = \frac{40}{5} \\ = 8[/tex]

Therefore, when y is 5, the value of x is 8.


Related Questions

A plane travels a distance of 6,000 km in a time of 6.8 hours.
What is its average speed rounded to the nearest whole number?​

Answers

Answer:

distance =6,000km

time =6.8 hrs

speed =distance /time =6,000/6.8=60000/68=882 km/h

6000/6.8 approximately 882.4. This should be the average speed per hour

What is the value of y= 3x + 5 when x = -4?

Answers

Answer:

y=-7

Step-by-step explanation:

y=3(-4)+5

y=-12+5

y=-7

giving brainliest please help

Answers

Answer:

Question 1:

1: 2 xs

1  1/4: 5 xs

1  1/2: 1 xs

1  3/4: 1 xs

2: 2xs

Question 2:

6  1/4 pounds

I hope I helped!

10.5 divided by .21

help fast pls! and i need to show my work.

Answers

Answer:

50

Step-by-step explanation:

Use long division

the answer is 50

hope this helps

Sara ordered 2 slices of pizza and a 12-ounce cola and paid
$3.00. Sydney ordered 3 slices of pizza and 2 12-ounce
colas for $4.75. How much does a slice of pizza cost?

Answers

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

Step-by-step explanation:

Let slice of pizza cost x and a 12-ounce cola cost y.

Then Sara's order cost: 2x+y=3

and Sydney's order cost: 3x+2y=4.75

From the first equation we have: y=3-2x and put this to the second equation:

3x+2(3-2x)=4.75

3x+6-4x=4.75

x=1.25

y=3-1.25*2=0.50

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

Find whether the pair of linear equations y = 0 and y = -5 has no solution, unique solution

or infinitely many solutions​

Answers

Answer:

infinitely many solutions​

Answer:

NO SOLUTION

Step-by-step explanation:

Describe the compliment of the set of odd numbers greater than 0 within the set of positive integers.

Answers

Answer:

Step-by-step explanation:

it is the set of positive even integers.

{0,2,4,...}

Write an equation in slope-intercept form of the line that passes through the points. 0,1 and 4,2

Answers

Answer:

[tex]y=\frac{1}{4}x+1[/tex]

Step-by-step explanation:

the common formula of the required equation is:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]

if to substitute the given coordinates into the folmula above, then the required equation is:

[tex]\frac{x-0}{4-0} =\frac{y-1}{2-1};[/tex] ⇔ y-1=1/4*x; ⇔  [tex]y=\frac{1}{4} x+1.[/tex]

Least to greatest 2/3, -2 2/5, 0.5, -0.8

Answers

Answer:

-2 2/5, -0.8, 0.5, 2/3

Step-by-step explanation:

We have four values, two that are fractions and two that are decimals and are asked to put them from least to greatest.

We have a dillema of values in this question, two are fractions and two are decimals. We need to convert all of them towards one symbol to get our answer.

Let's try decimals, since they are more easier to see which is the bigger value.

Start with 2/3, what is 2 divided by 3?

2/3

0.6 repeated.

As of now, we have 0.6 repeated, -2 2/5, 0.5, and -0.8.

Now do the second fraction, turn -2 2/5 to an improper fraction by multiplying the whole number by the denominator and adding the numerator.

-2 * 5 + 2

-10 + 2

-8/5

Now convert -8/5 to a decimal :

-8/5

-1.6

Now we have all decimals, put the from least to greatest.

0.6 repeated, -1.6, 0.5, -0.8

-1.6, -0.8, 0.5, 0.6 repeated

Therefore our list from least to greatest is :

-2 2/5, -0.8, 0.5, 2/3

Evaluate the given expression for x= -8.
- 3x -8
The answer is

Answers

Answer:

Substitute the value of the variable into the equation and simplify.

16

Step-by-step explanation:

Hope this helps! Have a great day!

Answer: 16

Step-by-step explanation:

[tex]- 3x -8=\\-3(-8)-8=\\24-8=\\16[/tex]

Write an equation that represents the relationship between the number
of hours worked h and the amount of money made in wages w."


Answers

Answer:

Step-by-step explanation:

so u have to mulpie the all of the he money bey step by step in till u get the answer

$5.00 + what ever the equation is than multiple

The Excel file Store and Regional Sales Database provides sales data for computers and peripherals showing the store identification number, sales region, item number, item description, unit price, units sold, and month when the sales were made during the fourth quarter of last year.2 Modify the spreadsheet to calculate the total sales revenue for each of the eight stores as well as each of the three sales regions.

Answers

Answer:

Total sales revenue use  excel function : ( SUMIF. =sumif(range, criteria, [sum_range] )

For each of the stores: Use excel function: For Store 1: =sumif(B4:B99,1,I4:I99) then repeat same for Store 2 to store 8

Step-by-step explanation:

To modify the spreadsheet to calculate the total sales revenue we will add a column " sales revenue "

multiply values of column : ( unit sold * unit price )  to get Total sales revenue. then use  excel function : ( SUMIF. =sumif(range, criteria, [sum_range] ) to find Total sales revenue

calculate the total revenue for each of the 8 stores using a pivot table using  "store identification number" in row  and " sales revenue " in values field

To get the sales revenue ; replace " store identification value" with sales region " column

5 Clear A Mare for Reyes
A number cube has faces numbered from 1 to 6. When the number cube is rolled, the theoretical probability of it
1
landing with a multiple of 3 on the top face is
What is the probat
of the number cube NOT landing with a multiple of 3 on its top face?

Answers

Answer:

2/3

Step-by-step explanation:

Devaughn is 8 years younger than Sydney. The sum of their ages is 70. What is Sydney's age?

Answers

Answer:

Sydney 39 yrs old

Step-by-step explanation:

S=x

D=x-8

x-8+x=70

2x=78

x=39

If sally weighed 129 pounds last month and she gains 6 pounds every month how much does she weigh now?

Answers

Answer:

129 + 6x

Step-by-step explanation:

x represents how many months have passed

simplify -20y+30/ -2y+6

Answers

Answer:

− 3 5 + 6

Step-by-step explanation:

p.s. give me crown please

79% of a university's freshman class are majoring in Engineering. If 2765 students in the freshman class are Engineering majors, how many students are in the freshman class?

Answers

Answer:

3500

Step-by-step explanation:

2765 / .79 = 3500

There are total 3500 students in the freshman class.

How can we represent "a% of b"?

We can represent "a% of b" as -

a% of b = a/100 x b

a% of b = ab/100

So, a% of b = ab/100

Given is that 79% of a university's freshman class are majoring in Engineering. 2765 students in the freshman class are Engineering majors.

Assume that there are {x} number of students in the freshman class. So, we can write -

79% of {x} = 2765

79x/100 = 2765

{x} = 276500/79

{x} = 3500

Therefore, there are total 3500 students in the freshman class.

To solve more questions on percentage, visit the link below-

https://brainly.com/question/19034579

#SPJ3

Plzz help me plz! I am very bad at math!

Answers

Answer:

D. 4 3/4

Step-by-step explanation:

1+3=4

2/4 + 1/4 = 3/4

hope it helps:)

POSSIBLE POINTS: 2
Jack had $32 to spend on 5 markers. He had $12 remaining after buying the markers. How much did each marker cost? ASAP!!!

Answers

Answer:

4

Step-by-step explanation:

Answer:

Use Photo Math

Step-by-step explanation:

Anyone have a answer for this?

Answers

Answer:

36.1 meters

Step-by-step explanation:

Since this is a rectangle, the parallel sides are equal to each other, meaning we technically already know all the side lengths.

I'll choose to look at the bottom triangle in this case

30 is already there, and the other leg should be 20. Knowing this, we can plug these into the pythagorean theorem.

20 is A, 30 is B, and the missing side is C

[tex]a^{2} + b^{2} = c^{2}\\20^{2} + 30^{2} = c^{2} \\400 + 900 = 1300 \\\sqrt{1300} = 36.06\\[/tex]

C, the missing side to the nearest tenth is 36.1 meters

Which of the following graphs show a proportional relationship?
Choose all answers that apply:
Choose all answers that apply:

(Choice A, Checked)
A


(Choice B, Checked)
B


(Choice C)
C
None of the above
This is from Khan Academy. Proportional Relationships

Answers

Answer:

it should be B

Step-by-step explanation:

it looks like a proportional line

Answer:

Answer A and answer B

need a answer ASAP!!!!!!!
Which function is the inverse of h(x)=18x+7/3?
Question 1 options:

A) k(x)=3x-7/18




B) k(x)=3x+7/18




C) k(x)7x-3/18




D) k(x)=18x-7/3

Answers

the function of the inverse is
Option.A k(x)=3x-7/18 I gotcha

Please solve this!

Simplify:

7x/2x

Answers

it’s 3.5 just download photo math helps with these type of problems

a large clock has a face that is shaped like a circle the circumference of the circle is 5 feet which measurement is closest to the area of the face of the clock in square feet

Answers

Answer:

78.5

Step-by-step explanation:

What is an equation of the line that passes through the points (-6, -3) and
(-3, -5)?

Answers

Answer:

m= -2/3

Step-by-step explanation:

m= y2-y1/ x2-x1

m= -5-(-3)/ -3-(-6)

m= -5+3/ -3+6

m= -2/3

Can someone PLEASE HELP!!!

0nly answer if you know the answer please

I will mark BRAINLY if correct!

Answers

The answer is x=24 !
the answer is 24cm, if you are in need of working out do say

Pls help!
You are buying a fence to enclose a garden that has an area of 315 square feet.

Answers

Answer:

.............

Step-by-step explanation:

2.109 A large industrial firm uses three local motels to provide overnight accommodations for its clients. From past experience it is known that 20% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the plumbing is faulty in 5% of the rooms at the Ramada Inn, in 4% of the rooms at the Sheraton, and in 8% of the rooms at the Lakeview Motor Lodge, what is the probability that

Answers

Answer:

Step-by-step explanation:

From the given information;

Let R represent Ramadan Inn

S to represent Sheraton; &

L to represent Lakeview Motor

F to represent faulty plumbing

So;

P(R) = 0.2

P(S) = 0.5

P(L) = 0.3

P(F|R) = 0.05

P(F|S) = 0.04

P(F|L) = 0.08

Then; to find the probability there will be a client assigned to the faulty room.

i.e.

P(F) =( P(R) × P(F|R) ) + ( P(S) × P(F|S) ) + ( P(L) × P(F|L) )

P(F) = (0.2 × 0.05) + (0.5 × 0.04) + (0.3 × 0.08)

P(F) = 0.01 + 0.02 + 0.024

P(F) = 0.054

suppose an individual with a room possessing faulty plumbing was given an accomodation at Lakeview Motor

Then:

P(L|F) = P(L) × P(L|F) / P(F)

P(L|F) = 0.3 × 0.08 / 0.054

P(L|F) = 0.4444

1 =
b
3
− 1


b = find b

Answers

Answer:

b = 2/3

Step-by-step explanation:

Solve for b:

1 = 3 b - 1

1 = 3 b - 1 is equivalent to 3 b - 1 = 1:

3 b - 1 = 1

Add 1 to both sides:

3 b + (1 - 1) = 1 + 1

1 - 1 = 0:

3 b = 1 + 1

1 + 1 = 2:

3 b = 2

Divide both sides of 3 b = 2 by 3:

(3 b)/3 = 2/3

3/3 = 1:

Answer: b = 2/3

What is 4m-5 ??

m=3

Answers

Answer:

7

Step-by-step explanation:

4m - 5 = 4 * 3 - 5 = 12 - 5 = 7

Answer: 7

Step-by-step explanation:

4m-5

=[ 4 x 3] - 5    (as m=3)

= 12 - 5

=7

Hope it helped u,

pls mark as the brainliest

^_^

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