2. Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.
y = 4.5 when x = 3
a. k = 13.5; xy = 13.5
b. k = 1.5; y = 1.5
x
c. k = 1.5; y = 1.5x
d. k = 13,5; 13.5y = x

Answers

Answer 1

Answer:

Correct choice: a. k = 13.5; xy = 13.5

Step-by-step explanation:

Inverse Proportion

Two variables x and y are in inverse proportion or variation if:

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

Where k is the constant of proportionality

Since we know that y=4.5 when x=3:

[tex]\displaystyle 4.5=\frac{k}{3}[/tex]

Solving for k:

[tex]k = 4.5*3 = 13.5[/tex]

Thus the equation is:

[tex]\displaystyle y=\frac{13.5}{x}[/tex]

Or, equivalently:

[tex]xy = 13.5[/tex]

Correct choice: a. k = 13.5; xy = 13.5


Related Questions

does anyone understand this

Answers

For this problem, 0.25 in = 50 m. So

11 in = (11 in) • (50/0.25 m/in) = 2200 m

Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.

The $99.99 digital camera Mia purchased was on sale for 15% off. What amount did Mia get off the price? please leave an explanation

Answers

Answer: Sale Price = $84.99 (answer). This means the cost of the item to you is $84.99. You will pay $84.99 for a item with original price of $99.99 when discounted 15%. In this example, if you buy an item at $99.99 with 15% discount, you will pay 99.99 - 14.9985 = 84.99 dollars.

Step-by-step explanation:

Which of the following equations are written in standard form?

А. 3x + 5y = -7

B. 2y + x = 12

C. 5x+10y = -21

D. 1.2x + 5y = 23.7
PLEASE HELP ME ASAP

Answers

Answers A, C, and D are written in standard form.

Answer B is NOT written correctly in standard form.

Harold brought 5 apples for $3.90.What is the unit price?

Answers

Answer:

.78

Step-by-step explanation:

3.90/5 = .78

Randy Houck deposited his paycheck for $385.15, a refund check from a mail

order purchase for $125.95, and $37.20 in cash.

Answers

Answer:

The correct option is c. $548.30.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. Please, see the attached pdf file for the complete question.

Also Note: This template does not allow the explanation to be added and saved here as it keeps on indicating that it contains some swearwords. The explanation is now given in the attached pdf file. Please, see the attached pdf file for the answer and explanation.

PLEASE HELP!!
finding square roots of negative numbers

show your work

1-) V-18

2-) 2V-16

Answers

Answer:

Work shown below!

Step-by-step explanation:

[tex]\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}[/tex]

[tex]2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i[/tex]

Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804

Answers

Complete Question:

Yanay gets a lot of spam calls. An area code is defined to be a three digit number from 200-999 inclusive. In reality, many of these area codes are not in use, but for this question we'll simplify things and assume they all are.

Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804?

Answer:

1/6400 or 0.0000015625

Step-by-step explanation:

Given

Area Codes = 200 to 999 (inclusive)

Required

Determine the probability that back to back calls have area code 804

[First, we need to calculate the totality of area codes]

Total Area Codes = 999 - 200 + 1

Total Area Codes = 800

The probability of each code is 1/800

So, the probability of having back to back code of 804 is:

Probability = 1/800 * 1/800

Probability = (1/800)²

Probability = 1/640000

Hence, the required probability is 1/640000 or 0.0000015625

between two points
context
(Application 4)
An archaeological dig is marked with a rectangular grid where each square is 4 feet on a side. An important artifact is discovered
at the point corresponding to (-45, 20) on the grid. How far is this from the control tent, which is at the point (5, 40)? Round to
the nearest tenth of a foot.
The distance between the artifact and the control tent, to the nearest tenth of a foot, is
approximately feet.

Answers

7y-5x= 2xy your welcome

Write the equation of the line parallel to the line y= 5x + 3 that passes through the point (3,3)

Answers

Answer:

y=5x-12

Step-by-step explanation:

y=5x+3, and just replace the x and y to get the b. The slope is the same.

1) 3=5(3)+b

2)3=15+b

3)-12=b

4) y=5x-12

Help please
The answer choices are
A) x=3/x
B)x=9/x
C)0=3/x+x
D)0=9/x+x

Answers

Answer:

A

Step-by-step explanation:

The IQ scores of the middle 50% of a population can be written as

I

100

15

where x is a person's IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.

x 270 and x s 130

Ox570 and x 2 130

Oxs 90 and x 2 110

x 290 and x s 110

Answers

Complete question :

The IQ scores of the middle 50% of a population can be written as (x - 100) / 15 ≤ 2/3

Answer: 90 ≤ x ≤ 110

Oxs 90 and x 2 110

Step-by-step explanation:

Given the inequality:

The middle 50% of the population :

(x - 100) / 15 ≤ 2/3

The upper bound :

(x - 100) / 15 ≤ 2/3

multiply both sides by 15

(x - 100) / 15 * 15 ≤ 2/3 * 15

(x - 100) ≤ 2/3 * 15

x - 100 ≤ 10

x ≤ 10 + 100

x ≤ 110

The lower bound :

- (x - 100) / 15 ≤ 2/3

(-x + 100) / 15 ≤ 2/3

multiply both sides by 15

(-x + 100) / 15 * 15 ≤ 2/3 * 15

(-x + 100) ≤ 2/3 * 15

-x + 100 ≤ 10

-x ≤ 10 - 100

-x ≤ - 90

x ≤ 90

90 ≤ x ≤ 110

COLOR THEME
O Q ZOOM
5. Mrs. All collected notebook paper from her students at the beginning of the
school year. The model is shaded to show the fraction of notebook paper
that Mrs. Ali used in each of the following three months.
First month
Second month
Third month
What fraction of the notebook paper Mrs. All collected was used during
these three months?

Answers

Answer:

6

Step-by-step explanation:

The equation x^2/24^2 - y^2/b^2 = 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.

What is the value of b?
A. 10
B. 16
C. 20
D. 26​

Answers

Answer:

a

Step-by-step explanation:

edge

The value of B is 16.

The correct option is B

What is a quadratic equation?

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

The standard equation for a hyperbola centered at the origin is:

(x²)/(a²) - (y²)/(b²) = 1

where "a" and "b" are the lengths of the transverse and conjugate axes, respectively. To find the value of "b" for the given hyperbola equation, we need to first rewrite it in the standard form.

(x²)/(24²) - (y²)/(b²) = 1

Multiplying both sides by (24²)(b²), we get:

b²(x²) - (24²)(y²) = (24²)(b²)

Dividing both sides by (24²), we get:

b²(x²)/(24²) - y² = b²

Comparing this with the standard equation, we can see that a = 24 and b is the square root of the constant term, which is b² = 576. Therefore, b = 24.

However, the given directrix of x = 576/26 is not consistent with the equation of the hyperbola. The directrix for a hyperbola with center at the origin and transverse axis along the x-axis is given by x = a²/b. Using the value of a = 24, we can find the directrix as:

x = (24²)/b

Setting this equal to 576/26, we get:

(24²)/b = 576/26

Solving for b, we get:

b = 16

Therefore, the correct answer is (B) 16.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ2

who wants to play rocket league with me

I'm gold3 so sry​

Answers

Answer:

Bet

Step-by-step explanation:

Answer:

Your on

Step-by-step explanation:

Does someone have a fennec in rocket league and someone who can trade it on switch?

3(x – 2) – (1 – x) > 2x – 7

Answers

The answer is x > 0

solve for x and y!! will give brainliest !

Answers

Answer:

x = 60 and y=25

Step-by-step explanation:

it is equilateral triangle and  an equilateral triangle is a triangle in which all three sides have the same length. In the familiar  geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

3 fair coins are tossed.
a) What is the probability of getting all 3 heads? (My Answer is 1/8)
b) What is the probability of getting all 3 tails? (My Answer is 1/8)
c) What is the probability of getting all 1 head and 2 tails? (My Answer is 3/8)
d) What is the probability of getting all 2 heads and 1 tail? (My Answer is 3/8)
My Question:
e) What do the probabilities from parts (a) to (e) add up to?

Answers

Answer:

1/8 + 1/8 + 3/8 + 3/8 = 2/8 + 6/8 = 8/8 = 1

So the answer would be 1.

Rewrite the following to show the distributive property
4x(5+3)

Answers

Step-by-step explanation:

4x+8

basically u solve the number that is in parentheses then you are left with the number with a variable so u can't solve so that's ur equation

Answer:

32x

Step-by-step explanation:

1. rewrite

4x(5)+4x(3)

4(3) means 4*3

2. multiply

4x(5)= 20x

4x(3)= 12x

20x+12x

3. combine like terms

20x+12x= 32x

32x

If this is right can you make me brainliest

Laura bought apples to send to her friend Brad by mail. Because of mailing restrictions, the total mass of the apples cannot exceed 23 pounds. If the mass of each apple is 5 ounces, what is the maximum number of apples Laura can send?



A.72
B.73
C.74
D.75​

Answers

Answer:

D. 75 bc it should be that

Answer:

B 73

so I had  four answer choices A 72 B 73 C 74 D 75 Someone had put that the answer was D . But,  I had this same problem on  my test I picked D and got it wrong. so clearly its not D. theses are medium apple's 1lb is 16oz I apple is 5oz 23lbs = 368oz 3 apples =15oz

take 368 and divided it by 5 you get 73.6

An item cost $420 before tax, and the sales tax is $33.60. Find the sales tax

Answers

Answer:

8%

Step-by-step explanation:

used a calculator

which table of values matches the equation y=2x-3

Answers

Answer:

What are the possible answer??/

Step-by-step explanation:

The set of points satisfying the equation y = 2x - 3 is a. {(0, -3), (1, -1), (1.5, 0), (2,1)}.

An equation is the combination of 2 or more expressions separated by the equality sign(=), signifying the equality of expressions.

To obtain the set of points satisfying the equation y = 2x - 3.

The given equation is y = 2x - 3.

Let's take x = 0,

y = 2 × 0 - 3 = -3,

the point is (0, -3).

Let's take y = 0,

0 = 2x - 3

2x = 3

x = [tex]\frac{3}{2}[/tex]

x = 1.5,

the point is (1.5, 0).

Let's take x = 1,

y = 2 × 1 - 3 = -1,

the point is (1, -1).

Let's take y = 1,

1 = 2x - 3

2x = 1 + 3

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2,

the point is (2,1).

Hence, the set of points satisfying the equation is {(0, -3), (1, -1), (1.5, 0), (2,1)}.

Learn more about Equation here:

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The complete question is as follows:

Which table of values matches the equation y = 2x - 3,

a. {(0, -3), (1.5, 0), (1, -1), (2,1)}.

b. {(0, -2), (1.5, 0), (1, -1), (2,1)}.

c. {(0, -3), (1.5, 0), (1, -4), (2,1)}.

d. {(-1,1), (0, -3), (1.5, 0), (1, -1)}.

Factor completely
w^2 + 12w -f^2+ 36

Answers

Factored:
(w+6-f)x (w+6+f)

plz help me 25y−4+7−910y =

Answers

Answer:

-885y+3

Step-by-step explanation:

Yes i agree i also got -885y+3


Can someone help me find x
And why?
PLZZZ I WILL GIVE U 20 POINTS

Answers

Answer: x is on the side we’re the prime example if found if u have a example

Step-by-step explanation:

If the terminal point determined by t is (-5,-4), then
\sin (t) =
;
\cos (t) =
;
\tan (t) =
.

Answers

Answer:

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

Step-by-step explanation:

Let [tex]\vec u = (x,y)[/tex]. From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:

[tex]\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)

[tex]\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\tan t = \frac{y}{x}[/tex] (3)

If we know that [tex]x = -5[/tex] and [tex]y = -4[/tex], then the trigonometric ratios are, respectively:

[tex]\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\sin t \approx -0.625[/tex]

[tex]\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\cos t \approx -0.781[/tex]

[tex]\tan t = \frac{-4}{-5}[/tex]

[tex]\tan t = 0.8[/tex]

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

Guys can you please help me ?!!!!!!):

Answers

Answer:

12+20=32

32/2=16

20-16=4

Vertex x-int is 4.

Step-by-step explanation:

Help pls :))))))))))))))

Answers

Answer:left is 7 right is 6

Step-by-step explanation:

left is 7 right is 6

Answer:

the right side is 6 and the left side is 7

Step-by-step explanation:

These triangles are similar. Since the bottom side goes from 15 to 5, that means you divide the other 2 sides by 3 also.

DEF JIH

Someone help me please

Answers

Answer:

ED is congruent to IH

ED is congruent to IH

Does anyone know the answers to this?

Answers

Answer:

i think the correct answer of these qusion is `B´

Answer:it’s 5

Step-by-step explanation:

Which graph shows the points (−11
2
, 1
2
) and (1.5, −0.5) plotted correctly?

On a coordinate plane, a point is 0.5 units to the right and 1.5 units up. Another point is 0.5 units to the left and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units up. Another point is 1.5 units to the right and 0.5 units down.
On a coordinate plane, a point is 0.5 units to the left and 1.5 units up. Another point is 0.5 units to the right and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units down. Another point is 1.5 units to the right and 0.5 units up.

Answers

Answer:

b

Step-by-step explanation: got it right on edge

Answer:

B

Step-by-step explanation:

got it right on edge

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