if y varies inversely as x and y=23 when x=8 find y when x=4

Answers

Answer 1
INVERSE VARIATION

EQUATION:

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

First, find the constant of variation k using the formula k=xy.

[tex]23 = \frac{k}{8} [/tex]

[tex]k = (8)(23)[/tex]

[tex]k = 184[/tex]

–––––––

Then, find y if x is equal to four using the formula y=184/x.

[tex]y = \frac{184}{x} [/tex]

[tex]y = \frac{184}{4} [/tex]

[tex]y = 46[/tex]

Final Answer:

y = 46

Related Questions


Find the length of diagonal AC in the rectangle
at the right

show you’re work plss

Answers

Answer:

26

Step-by-step explanation:

Let 10 be a, and 24 be b, and the undefined hypotenuse be c.

[tex]a^2 + b^2 = c^2[/tex]

[tex]10^2 + 24^2 = c^2[/tex]

100 + 576 =  c

c = 676

[tex]\sqrt{100} + \sqrt{576} = \sqrt{676}[/tex]

[tex]10^2 + 24^2 = 26^2[/tex]

c = 26

The value of the undefined line is 26.

Find the area of the
regular figure below:

A) 645.4 m2
B) 571.3 m2
C) 624.7 m2
D) 590.2 m2
E) 613.9 m2

explain pls

Answers

Answer:

E) 613.9 m2

Step-by-step explanation:

sum of measures of interior angles of a polygon of n sides:

(n - 2)180

For a pentagon:

(5 - 2)180 = 3(180) = 540

measure of one interior angle of a regular pentagon:

540/5 = 108

Draw a segment from the center of the pentagon to the top vertex. Now you have a right triangle.

The triangle has a 90 deg angle where the segment in the figure meets the side of the pentagon. Let half of the side of the pentagon be x. x is a side of the right triangle.

For the 54 deg angle in the triangle, 13 m is the opposite leg, and x is the adjacent leg.

tan A = opp/adj

tan 54 = 13/x

x = 13 m/tan 54 = 9.445 m

x is half of the side of the pentagon.

2x is the side of the pentagon.

2x = 2(9.445 m) = 18.89 m

The given 13 m segment is the apothem of the pentagon.

A = nsa/2

where n = number of sides, s = length of 1 side, a = length of apothem

A = (5)(18.89 m)(13 m)/2

A = 613.9 m^2

Answer: E) 613.9 m2

(4/25)^1/2 and (4/25)^-1/2

Answers

Answer:

(4/25)^1/2 = 2/5

(4/25)^-1/2 = 5/2

Step-by-step explanation:

(4/25)^1/2 and (4/25)^-1/2

recall that a^1/x = x√a and a ^-1/x = 1/ x√a

Hence (4/25)^1/2

Applying the laws of indices stated above

(4/25)^1/2 = √(4/25)

Recall that √a/b = √a/√b

Hence √4/25 = √4/√25

= 2/5

(4/25)^-1/2

Applying the laws of indices stated above

(4/25)^-1/2 = 1/√(4/25)

= √(25/4)

= √25/√4

= 5/2

i passed my exam lets gooooooo

Answers

Answer:

Step-by-step explanation:

Yesss

what is an equation of the line that passes through the point (3, -8) and has a slope -2?​

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

8. An employee at the recreation center earns $84.00 for working 7 hours. At
this hourly rate, what should the employee earn for 40-hour work week?
A. $12.00
B. $ 480,00
C. $ 280,00
D. $ 21,00

Answers

Answer:

B $480.00

Step-by-step explanation:

A area of a rectangle is 52 square meters. the width is 4 meters. what would the length be ?

Answers

Answer: 13 metres.

Step-by-step explanation:

Answer: The length would be 13 meters.

Step-by-step explanation:

Area = L*W

52 = 4L

52/4 = L

13 = L

13. Which number line represents the solution to the inequality -2x + 5 > 15?

!!!!!!WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

B

Step-by-step explanation:

Here at Karen University we offer the finest education! From language lessons, now repeat after me “I want to speak to the manager!” “____” very good! Biology lessons, now this is your stereotypical manager! And even fashion lessons now you want the back to be as short as possible! Enroll today to become the the best pain in the asś you can be

(haha sorry)

Answers

Answer:okkk

Step-by-step explanation:

Can someone help me please ill give brainy

Answers

Answer:

the equation of this line is x = -5

Step-by-step explanation:

A refrigerator is sold at $ 10525 at a profit of $ 925. What was the Cost Price of the refrigerator?

Answers

The price of the refrigerator was $9600

!!PLEASE HELP ME!!
Which of the following is the product of the rational expressions shown below?


Answers

12/x2+7x

hope it is right

Answer:

12 / x2 + 7x

Explanation:

Multiply the fractions

12/ x · (x + 7)

Distribute x

12/ x2 + 7x

PLEASE HELP ASAP, MARKING BRAINLIEST!!

Find the value of x.

Answers

Answer:

5

Step-by-step explanation:

since the sides are the same size, then the equation should be combined into x+2=2x-3

then subtract an x from both sides: 2=x-3

then add 3 to both sides: 5=x

and you have your answer

hope this works

Answer:

x=5

Step-by-step explanation:

x+2=2x-3

-x on both sides=

2= x-3

then -2 on both sides

0= x-5

this means that x must be 5 so that positive 5- negative 5 equals 0 :)


1. What is the y intercept ?


2. Write an equation of the line in the graph above

Answers

Answer:

1) The y-intercept is -3.

2) An equation would be y = 2x - 3

Mohammed is running the 800m race.He has completed 25 percent of the total distance. How far did mohammed run

Answers

Answer:

He has ran 200 m

Step-by-step explanation:

Step one:

given data

Mohammed is running the 800m race

He has completed 25 percent= 25%

Step two:

Let us find 25% of 800

=25/100*800

=0.25*800

=200 m

19. A(-2,5), B(4, 9), C(8, 3); BC
The coordinates of the vertices of a triangle are given. Find the coordinates of the end points of the mid segment parallel to the given side of the triangle.

Answers

The coordinates of the vertical of a triangle is B) 4,9

Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of

Answers

Answer:

1.75

Step-by-step explanation:

just divide 3.50 by 2

URGENT: State whether each equation represents a direct, inverse, joint, or combined variation. State the constant of variation.


V = 5n [tex]\frac{t}{m}[/tex]

Answers

Answer:

Combined

Step-by-step explanation:

Explore the relationship between the general forms of variation :

Direct Variation :

x varies directly as y ; x = kx

Inverse Variation :

x varies inversely as y ; x = k/x

Joint : x varies jointly as y and Z ; x = kxz

combined :

x varies directly as y and inversely as z ; x = kx * 1/ ; x = kx/z

Where k is the proportionality constant.

In the equation given above :

We have a combination of joint and inverse variation : V = 5ng

V varies jointly as n and t and inversely as m

V α k * n * t * 1 / m

V = Knt /m

Where, k is proportionality constant.

What is 1% of 440? Can you help

Answers

Answer:

1% of 440 is 4.4

Step-by-step explanation:

440 x .01 = 4.4

The answer is 4.4
1% of 440 = 4.4

what is viscosity please answer​

Answers

“The state of being thick, sticky, and semifluid in consistency, due to internal friction.”
the state of being thick, sticky, and semifluid in consistency, due to internal friction.

"cooling the fluid raises its viscosity"

a quantity expressing the magnitude of internal friction, as measured by the force per unit area resisting a flow in which parallel layers unit distance apart have unit speed relative to one another.

plural noun: viscosities

"silicone oils can be obtained with different viscosities"

What is the square root of 75 in simplified form?

Answers

Answer:

√75 as 5⋅√3.

Answer: the first one 5√3

Step-by-step explanation:

Water tank A has a capacity of 550 gallons and is 66% full. Water tank B is 53% full. The ratio of the capacity of T. How much water is in Tank A. and What is the capasity for B. Can yall plz figure out the answer and tell me.

Answers

Tank A capacity = 550 gallons       66% x 550 gallons = 363 gallons in Tank A

How about the water in tank B?

ratio of  11: 15      11/15 = 550/x          550 * 15/11 = cap B = 750 gal       53% 0f 750 = .53 x 750 = 397.5 gal in tank B

Find the distance between each pair of points. Round your answer to the nearest tenth, if
necessary.
(8, -7), (5,1)
A 4.4
B 8.5
C 3.3
D 14.3

Answers

Answer:

b. 8.5

Step-by-step explanation:

d=√(5−8)2+(1−(−7))2

d=√(−3)2+(8)2

d=√9+64

d=√73

d=8.544004

Mr. Holloway is a craftsman who makes custom guitars by hand. His last order was for 2 guitars, and it took him 8 weeks to make them. He receives an order to make 7 guitars.

Answers

Answer:

It took Mr. Holloway 28 weeks to make 7 guitars.

Step-by-step explanation:

The question is incomplete, but if we are trying to find out how many weeks it would take him to make 7 guitars then the answer would be 28.

First you have to find out how many weeks it takes him to make 1 guitar.

8 ÷ 2 = 4 (4 weeks to make 1 guitar)

Then you have to multiply 4 by 7 since it takes 4 weeks to make 1 guitar.

4 * 7 = 28 (28 weeks to make 7 guitars)

Answer:

28 weeks

Step-by-step explanation:

PLEASE HELP ME!

what is the slope and y intercept of y=1/2x+6

Answers

Answer:

the slope is 1/2 and the y intercept is 6

Answer:

Y = MX + B

M is Slope: 1/2

B is Y-Intercept: 6

Jermaine buys T-shirts for $6 each and marks up the price by 45%. How much more does Jermaine charge for each T-shirt sold?

Answers

Answer:

$2.7

Step-by-step explanation:

We find the amount that was marked up

Jermaine buys T-shirts for $6 each and marks up the price by 45%.

The marked up amount = 45% × $6

= 45/100 × $6

= $2.7

Therefore, the amount Jermaine charges more for each T-shirt sold is $2.7

Your friend writes 1.475% as a decimal. Is your friend correct? Explain your reasoning. 1.475% = 1.475% = 147.5

Answers

Answer:

no because the decimal doesn't have a % sign its 147.5

Select the reason why these triangles are similar. If they are not, select “not similar”

Answers

Answer:

Not similar

Step-by-step explanation:

Answer: not similar

Step-by-step explanation:

Wholesome Pizza surveyed a random sample of 404040 Trinity Food Festival attendees about their favorite type of pizza. Of the attendees surveyed, 212121 said that sausage pizza was their favorite type of pizza. There are 160016001600 Trinity Food Festival attendees. Based on the data, what is the most reasonable estimate for the number of Trinity Food Festival attendees whose favorite type of pizza is sausage pizza? Choose 1 answer: Choose 1 answer:

Answers

Answer: 840 people

Step-by-step explanation:

They surveyed 40 people in total and out of those 40, 21 said that sausage pizza was their favorite pizza.

The percentage of people who prefer sausage pizza is therefore:

= 21/40 * 100%

= 52.5 %

If there are 1,600 people in the festival and we assume that the sample is a representation of the people there, the estimated number of people who prefer sausage pizza will be:

= 52.5% * 1,600

= 840 people

6h + (-7.9d) - 16 + 5d - 3.5h =
please help

Answers

2.5h-2.9d-16 is the answer i got it is perfectly correct i solved it down on paper quickly.
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