Given x varies inversely as y and x = 4 when y=−9, find y when x = 6.

Answers

Answer 1

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

What is Proportional relationships?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Inverse variation It is expressed as;

x ∝ 1/r then x = k/y

Where k is the proportionality constant.

Given the data in the question;

x = 4y = -9

First we find the proportionality constant.

x = k/y

4 = k / -9

k = -36

Now, If x = 6 then y = ?

x = k/y

6 = -36 / y

6y = -36

y = -36 / 6

y = -6

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

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Related Questions

A semicircular window with a RADIUS OF 20 inches is going to be laminated with a sunblock coating that costs 1.50 PER SQUARE INCH. How much will it cost to coat this window?

A: 200$
B: 942$
C: 1,593$
D: 1,884$

Answers

Answer:

B:942$

Step-by-step explanation:

(pi*20^2)/2 is approximately 628.32

628.32*1.5=942.48

We have,
Diameter of a semicircular window is 24 inches. Radius of window is 12 inches.
Lou wants to insert a laminated sun-block coating that costs $1.50 per square inch to apply.
It means we need to find the area of semicircular window. IT is given by :


Cost per square inch is $1.50. So, Lou spend to coat the window with sun-block is

So, Lou spend to coat the window with sun-block is $339.12.

NEED HELP ON 13 AND 14 ITS OK IF YOU CAN ONLY ANSWER ONE, I WILL GIVE OUT BRAINLIEST, FIND THE LENGTH OF THE SEGMENTS IN THE PICTURE PLEASE

Answers

Answer:

It is the string theory dialated from quantum physics and decierived to the injudices of quadratic equations.

4. Express each percent as a decimal number and
as a fraction.
a) Kyle scored 95.5% on his last test.
b) The store's sales increased by 140%.
c) By getting a car tuned up, you can reduce its
emissions by 0.9%.

Answers

A) 0.955 and 199/200
B) 1.40 or 1.4 and 1 2/5
C) 0.90 or 0.9 and 9/10
.96 rounded off
1.40
1/96. 1/140

PLEASE HELP! (WILL MARK BRAINLIEST.)


Christina wants to make a quilt. She purchases 1 ½ yards of blue fabric, ⅔ yards of polka dot fabric, and ⅝ yards of red fabric. How much total fabric did she buy?


*Please provide an explanation, thank you :) *

Answers

Answer:

2 19/24

Step-by-step explanation:

5/8 + 2/3= 1   7/24

1    7/24 + 1    1/2= 2 19/24

Answer:

67/24 or 2 19/24

Step-by-step explanation:

You can find a common multiple for all of the fractions.

24 is going to be the common multiple.

1 12/24+16/24+15/24

what is the simplified answer to 1/2(x+1)-1/3(x-1) ???

Answers

Answer:

.5x+.5-1/3x-1/3

Step-by-step explanation:

You then would combine like terms and get x


- A jar contains 55 quarters and dimes. The total value of the coins is $8.50. Find the
number of quarters and dimes in the jar.

Answers

Answer:

20 quarters and 35 dimes.

Step-by-step explanation:

Let number of quarters = q

Therefore number of dimes = 55 - q

By condition, q * 25 + (55 - q) * 10 = 850 [all converted to cents]

25q + 550 - 10q = 850

25q - 10q = 850 - 550

15q = 300

q = 300/15 = 20

Therefore, number of quarters = 20

and number of dimes = 55 - 20 = 35

Mia plans to build a fence to divide her rectangular garden into two triangular areas. use the diagram to find the length of fence she will need to divide the garden. round up to the nearest hundredth. mia will need a fence that is meters long.

Answers

Answer:

Mia will need a fence that is 9.22 meters long.

Step-by-step explanation:

Answer:

If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.

Step-by-step explanation:

edg 2022

According to the line plot, what is the total weight gained by the dogs that gained 1/8 f a pound or 3/4 of a pound?
A. 2 1/2 pounds
B. 3 1/2 pounds
C. 5 pounds
D. 3 1/8 pounds

Answers

According to the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound is C. 5 pounds.

What is a line plot?

A line plot is a graph that uses check marks above a number line, to show the frequency of each value.

In this line plot, the addition of the weights gained by dogs that gained ¹/₈ of a pound or ³/₄ of a pound shows the total.

The quantity of weight in pounds gained by the dogs that gained ¹/₈ of a pound = 1

The quantity of weight in pounds gained by the dogs that gained ¹/₄ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ³/₈ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ¹/₂ of a pound = 3

The quantity of weight in pounds gained by the dogs that gained ³/₄ of a pound = 4

Thus, based on the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound = 5 (1 + 4)

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PLSSS HELP IF YOU TURLY KNOW THISS

Answers

8/6 of a pizza is eaten

Answer:

1 1/3 pizzas.

Step-by-step explanation:

AddingL

5/6 + 3/6 = 8/6

= 1 2/6

= 1 1/3 pizzas.

Explain how you would find the coordinates of the image (5, 2) if it was reflected over the x-axis and then that image was reflected over the y-axis what would be the end result?

Answers

Answer:

the end result is (-5 , -2)

Step-by-step explanation:

Let A’ be the image of A(5 ,2) by reflection over the x-axis

and Let A’’ be the image of A’ by reflection over the y-axis

Formula:

➽if we reflect a point M of coordinates (x , y) over the x-axis we get the image point M’ of coordinates (x , -y)

➽ if we reflect a point N of coordinates (z , t) over the y-axis we get the image point N’ of coordinates (-z , t)

_____________________________

According to the formula :

A(5,2) ———-> A’(5 , -2) ———-> A’’(-5 , -2)

Answer: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

Step-by-step explanation:

Three times the sum of a number, y, and 5 is at most 36.

Answers

Answer:

7

Step-by-step explanation:

3(y+5)=36

divide both sides by 3

y+5=12

minus 5

y=7

Three times the sum of a number y, and 5 is at most 36 is equivalent to  y = 7

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that three times the sum of a number y, and 5 is at most 36.

⇒ 3(y+5)=36

Divide both sides by 3

⇒ y + 5 = 12

Subtract by 5 in the equation

⇒ y = 7

Hence, three times the sum of a number y, and 5 is at most 36 is equivalent to  y = 7

Learn more about Arithmetic operations here:

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The area of a circle is 153. 86 square meters. What is the the diameter of the circle? Use 3. 14 for π.


d =

meters

Answers

Answer:

Option (2). 14 m

Step-by-step explanation:

Formula to get the area of a circle 'A' =

where r = radius of the circle

Given in the question,

Area of the circle = 153.86 square meters

By putting the values in the formula,

153.86 = πr²

r = [tex]\sqrt{\frac{153.86}{\pi } }[/tex]

r = [tex]\sqrt{49}[/tex]

r = 7 meters

Diameter of circle = 2 × (radius of the circle

                             = 2 × 7

                             = 14 meters

Therefore, diameter of the circle is 14 meters.

Option (2) is the answer.

Help please with trigonometry hw please

Answers

In trig SIN is y/1 or r and TAN is Y/X so if SIN (y/1) is 0.8, tan would have to be 0.8/x. If an X is given you can solve

Passes through (-2,13) and (2,-7); write answer in slope intercept form.

Answers

Step-by-step explanation:

You must first know the formular for gradient then use the applied formular for slope

helppppppppppppppppppppp

Answers

Answer:

Perimeter =28 units.

Area = 45 unit^2.

Step-by-step explanation:

The length of  first side (joining first 2 points) = 5 - (-4) = 9  (as y coordinates are both -5)

The line joining the 2nd and third points = 0 - (-5) = 5

The line joining the 3rd and 4th points = 5 - (-4) = 9.

The line joining the first  and 4th points = 0 - (-5) = 5

So the perimeter = 2(5) + 2(9)

= 28 units.

Area =  5*9 = 45 unit^2.

Answer:

See below ~

Step-by-step explanation:

Finding Area

Area = Length x BreadthArea = (5 - (-4)) x (0 - (-5))Area = 9 x 5Area = 45 square units

Finding Perimeter

Perimeter = 2(Length) + 2(Breadth)Perimeter = 2(Length + Breadth)Perimeter = 2(9 + 5)Perimeter = 2(14) = 28 units

The town of Lantana needs $14,000 for a new playground. Lantana
Elementary School raised $5,358, Lantana Middle School raised
$2,834 and Lantana High School raised $4,132.
About how much more money do they need to raise? Choose the best
estimate.

Answers

Answer:

1676

Step-by-step explanation:

14,000-5,358-2,834-$4,132 = 1676

PLEASE HELP
last choice: Olga did not make a mistake

Answers

Answer:

Step 3

Step-by-step explanation:

They divided, they should have multiplied

The body of a 154 pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body

Answers

let a be aluminum and g be gold and k how many times:

2*10⁻¹mg a+ 6*10¹mg g= 154 lb

so a=kg

k=a/g

k=2*10⁻¹/6*10=1/300

a=1/300g

so Aluminum is 1/300 of gold.

Can you help my sister with fractions while I'm studying. I need to review on my exams

Answers

Answer:

4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We have 4 whole circles and half a circle so 4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]

Solve for x in 41n(x-7)=8

Answers

Answer:

Simplifying

41n(7x) = 8

Remove parenthesis around (7x)

41n * 7x = 8

Reorder the terms for easier multiplication:

41 * 7n * x = 8

Multiply 41 * 7

287n * x = 8

Multiply n * x

287nx = 8

Solving

287nx = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '287x'.

n = 0.02787456446x-1

Simplifying

n = 0.02787456446x-1

Step-by-step explanation:

What is the slope of the line that passes through the points (4, 8)(4,8) and (8, 6)(8,6)? Write your answer in simplest form.

Answers

Using linear function concepts, it is found that the slope of the line that passes through points (4,8) and (8,6) is of -0.5.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line goes through points (4,8) and (8,6), hence when x changes by 4, y changes by -2, and the slope is given by:

m = -2/4 = -0.5.

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pls help I really need to do this due today!!!!!!

Answers

Answer:

B She is correct because the shape is a quadrilateral with at least one pair of Parallel sides.

Step-by-step explanation:

The side on the top is parallel with the side on the bottom.

It could not be A because there is only one pair of parallel sides.

It can’t be C or D because the shape is a trapazoid.

Answer:

B

Step-by-step explanation:

!! She is correct because the shape is a quadrilateral with at least one pair of parallel sides.


##Have a lovely day today ^^!

3.
Find the value of x, rounded to the nearest tenth.

31.8

10.3

10.7

31.4

Answers

the ansewr is D. 31.4

Step-by-step explanation:

the ansewr is D. 31.4

Pretty please help me

Answers

Answer:

15 percent

Step-by-step explanation:

just look up 180 plus each percentage

Which shape is represented by the cross section below?

circle
cylinder
cone
ellipse

Answers

Answer:

cylider?

Step-by-step explanation:

Ellipse that’s the answer

Zoe has a collection of 56 seashells. Then, she goes on a 3-day beach vacation and finds 12 new seashells each day. Which expression tells you the total number of seashells in Zoe's collection after her vacation? 56+(3+12) or 56+(3times12)

Answers

zoe’s total collection after her vacation will be 56+(3x12)

Derrick watched his basketball team during the season and recorded the team’s score for each game. should see a histogram how many times did the team score more than 50 points? enter your answer in the box.

Answers

Considering the histogram, it is found that the team scored more than 50 points 26 times.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

Researching this problem on the internet, we have that:

The team scored between 51 and 60 points 12 times.The team scored between 61 and 70 points 11 times.The team scored between 71 and 80 points 3 times.

12 + 11 + 3 = 26, hence the team scored more than 50 points 26 times.

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2
Find the are of the following circle with radius 2xy?
Area of a circle is A=r
2
=

Answers

Answer:

2πxy^2 unit^2

Step-by-step explanation:

area of circle=πr^2

=π×2xy^2

=2πxy^2

Find the measures of all of the angles.

1. ∠ABC =
2. ∠BCA =
3. ∠CAB =

Answers

Answer:

1. ∠ABC =60

2. ∠BCA =90

3. ∠CAB =30

Step-by-step explanation:

3 angles will equal 180 deg.

the right angle is 90 degrees, always.

so (90) + (5x) +  (9x+6) = 180

combine like terms

14x + 96 = 180

move like terms to isolate x

14x = 180-96

14x = 84

divide both sides by 14 to isolate x

x = 6

∠CAB = 5x    replace 6 for x, = 30

∠ABC = 9x+6, replace 6 for x = (9*6) + 6, = 60

evaluate the expression 4x for each value of x

Answers

4x equals 78 it is the best answer to go with
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