If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
1/5
4/5
5
16

Answers

Answer 1

Answer:

Step-by-step explanation:

y = k*x                    This is the formula for a direct variation.

y = 20x = 4                        Substitute these values into the direct variation

20 = 4 * k                        Divide by 4

20/4 = 4k/4

k = 5

Answer: the constant of variation is 5


Related Questions

PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!!!!!!!!

Answers

Answer:

y intercept: 4, x-intercept: None

Step-by-step explanation:

Took the test and got it right

What is the meaning of the sum?

Answers

Answer:

the sum is the total amount resulting from the addition of two or more numbers, amounts, or items.

The product of two consecutive integers is 272. which quadratic equation can be used to find x, the smaller number? x2 1 = 272 x2 − 1 = 272 x2 x − 272 = 0 x2 x 272 = 0

Answers

An equation is formed of two equal expressions. The quadratic equation that can be used to find x, the smaller number is x²+x-272.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the first number be x.

Now since the two numbers are consecutive numbers the other number will be (x+1). Also, it is mentioned in the problem that the product of the two numbers is 272. Therefore, the equation that can represent the product will be,

[tex]x \times (x+1) = 272\\\\x^2 + x =272\\\\x^2 + x -272 = 0[/tex]

Thus, the quadratic equation that can be used to find x, the smaller number is x²+x-272.

Learn more about Equation:

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Answer:

c. x2 + x − 272 = 0

Step-by-step explanation:

What is the area of the figure?

A figure can be broken into 2 rectangles. One rectangle has a base of 6.2 inches and height of 8 inches. The other rectangle has a base of 10.2 inches and height of 3 inches.
42.4 square inches
80.2 square inches
92.8 square inches
101.6 square inches

Answers

Answer:

80.2

Step-by-step explanation:

Answer:80.2

Step-by-step explanation:

i did the test so yeh edg 2023


The function
f
(
t
)
=
310
(
1.025
)
7
t
f(t)=310(1.025)
7t
represents the change in a quantity over t weeks. What does the constant 1.025 reveal about the rate of change of the quantity

Answers

Answer: The function is growing exponentially at a rate of 2.5% every day.

Step-by-step explanation:

solve for d . 8d-6d=10

Answers

Simplifying

8d + -6d = 10

Combine like terms: 8d + -6d = 2d

2d = 10

Solving

2d = 10

Solving for variable 'd'.

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

Divide each side by '2'.

d = 5

Simplifying

d = 5

I am struggling with both questions please help.

Answers

Step-by-step explanation:

xbc = 55

because corresponding angle of parallel lines are equal

BXC = 70

because triangle XBC is Isosceles triangle

angle B = angle C

B = C = 55

so angle

BXC = 180 - 55 - 55

BXC = 180 - 110

BXC = 70

What is the value of x in the given triangle, in inches?

Answers

Hence, the value of sin 90° is 1.
So, the correct option is (D).

A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. Which expression best represents the value of π?

Answers

A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. The required expression for value of π is: 3.14

What is diameter of circle?

A circle is a form made up of all points on a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to travel around a curve while maintaining a constant distance from another point.

Given that,

The circumference of the circle was about 50.24 feet,

And the diameter of the circle was 16 feet

We have to determine,

Which expression best represents the value of π.

According to the question,

Circumference of the circle = 50.24 feet

Diameter f the circle = 16 feet

Then,

Circumference of the circle = π × d

Circumference of the circle = 50.24 feet

Therefore,

50.24 = π × d

or. π × 16 = 50.24

or,  π = 3.14

Hence, The required expression for value of π is: 3.14

For the more information about the circle refer to:

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#SPJ1

How Do I Do Goldbach’s Conjecture.

Answers

I dk bc I don’t understand what you mean

Find the 4th term in the sequence
with the following definition:

a1 = 0
a2 = -6
an = 2(an-1-3)

Answers

The sequence an = 2(an-1 - 3) is a recursive sequence

The 4th term of the sequence is -42

How to determine the 4th term?

The given parameters are:

a1 = 0

a2 = -6

an = 2(an-1 - 3)

Start by calculating a3 using:

a3 = 2(a2 - 3)

This gives

a3 = 2 * (-6 - 3)

a3 = -18

Calculate a4 using:

a4 = 2(a3 - 3)

This gives

a4 = 2 * (-18 - 3)

a4 = -42

Hence, the 4th term of the sequence is -42

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find the area of the figure

thank you <3 will give brainliest

Answers

Answer:

13.5

Step-by-step explanation:

A triangles area is base x height divided by two.

Height is 3, and base is 9.

9 x 3 = 27 / 2 = 13.5

The area of a triangle is
a = base x height / 2

but only for a right triangle meaning one of the angles of the triangle has to be 90 degrees. So we split the triangle in half and then solve for the area of the two triangles and add them together.

area of triangle 1 = 3 x 6 / 2 or 9
area of triangle 2 = 3 x 3 / 2 or 4.5

Total area is 13.5

I hope this is this helps and is the BRAINLIEST!!

Good Luck with your studies!

Beau spun a tri-colored spinner 30 times. The spinner stopped 12 times on yellow, 5 times on red, and 13 times on blue. Based on this data, if Beau spins the spinner 420 times, how many times would the spinner be expected to stop on red?

Answers

Answer:70

Step-by-step explanation:30 divided by 6 equals 5. And 420 divided by 6 equals 70

PLEASE SOLVE!! DUE RIGHT NOW!!! WILL MARK BRAINLIEST IF ANSWERED AND CORRECT!!!!!

Answers

Step-by-step explanation:

a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.

b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:

[tex]47+2x-5=180\\47-5+2x=180\\42+2x=180\\42-42+2x=180-42\\2x=138\\\frac{2x}{2} =\frac{138}{2} \\x=69[/tex]

Miss Chang ordered a pizza to share with some Grade 8 students. Miss Chang

gave Michael some slices of pizza. Miss Chang gave Amy twice as many slices of

pizza as Michael. Miss Chang gave Mr. Au three times the sum of what she gave

to Michael and Amy. Miss Chang gave 60 slices of pizza to Michael, Amy and Mr.

Au in total. How many slices of pizza Miss Chang give to each person?

Answers

Michael: x
Amy: 2x
Mr. Au: 3(2x+x)
x+2x+3(2x+x)=60
x+2x+3(3x)=60
x+2x+9x=60
12x=60
x=5
Michael: 5 slices
Amy: 2(x)
2(5)=10 slices
Mr. Au: 3(2x+x)
3(10+5)=45 slices

An airplane covers 900 miles in first 30 minutes and 3040 miles in next 2 hours. What is the speed of the airplane in the first 30 minutes

Answers

Answer:

hi how do you do I actually don't know sorry very much

. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and
then another marble is drawn. What is the probability that a blue marble was drawn followed by a
yellow marble?

Answers

Answer:

64%

Step-by-step explanation:

find the m of arc AB, round to nearest tenth.

Answers

Answer:

80°

Step-by-step explanation:

AB and AC are chords.

Chords AB and AC are at a distance of 2 units from the center of the circle.

-> Chord AB = Chord AC

[tex]\implies m(\widehat {AB})=m(\widehat {AC})[/tex]...(1)

(Equal chords intercept equal arcs)

[tex]m(\widehat {AB})+m(\widehat {AC})+m(\widehat {BC})=360\degree[/tex]

(By arc sum property of a circle)

[tex]\implies m(\widehat {AB})+m(\widehat {AB})+200\degree=360\degree[/tex]

(From equation 1)

[tex]\implies 2m(\widehat {AB})=360\degree-200\degree[/tex]

[tex]\implies 2m(\widehat {AB})=160\degree[/tex]

[tex]\implies m(\widehat {AB})=\frac{160\degree}{2}[/tex]

[tex]\implies \huge{\orange{m(\widehat {AB})={80\degree}}}[/tex]

Please help i will give brainliest

Answers

Answer:

c or a one of the 2

Step-by-step explanation:

HELPPPPPPPPPP!!! pls show work

Answers

Answer:

Step-by-step explanation:

67 becaue you divide all the numbers together then add then multiply then subtract divide that number and you get 67

URGENT SOLVE 7 8 and 9 THAMK YOU SO MUCHHH

Answers

Answer:

7) a

8) b

9) d

Step-by-step explanation:

help me answer this pls

Answers

p = -4 and q = -6

hope it helps...!!!

What is the equation, in slope-intercept form, of the line that contains the points (1, -4) and (2, 1)?

X Y
1 -4
2 1
A. y = 5x - 9
B. y = -5x + 9
C. y = -9x + 5
D. y = 9x - 5

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

A    Y= 5x-9

Step-by-step explanation:

Which products result in a difference of squares or a perfect square trinomial? check all that apply. (5x 3)(5x – 3) (7x 4)(7x 4) (2x 1)(x 2) (4x – 6)(x 8) (x – 9)(x – 9) (–3x – 6)(–3x 6)

Answers

(7x + 4)(7x + 4) and (x – 9)(x – 9) are Perfect square trinomial. (5x + 3)(5x – 3) and (–3x – 6)(–3x + 6) shows the Difference of squares.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The following are the answers

(5x + 3)(5x – 3) Difference of squares

(7x + 4)(7x + 4) is a Perfect square trinomial

(2x + 1)(x + 2) has Neither a difference of squares nor a perfect square trinomial.

(4x – 6)(x + 8) has Neither a difference of squares nor a perfect square trinomial.

(x – 9)(x – 9) is Perfect square trinomial

(–3x – 6)(–3x + 6) = [tex](-3x)^2- ( -6)^2[/tex]  Difference of squares.

Learn more about perfect square:

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Answer:

A. B, E, F

Step-by-step explanation:

Which equation can be used to represent the statement? Half of a number minus Severn is one and five tenths.

Answers

1/2x-7=1 5/10
Or 1 1/2

The park district is building new bleachers for the softball feild. One row of bleachers will seat 9 people. What is the minimum number of rows needed to seat atleast 150 people?

Answers

Answer:

17

Explanation:

First, we observe that 1 row will seat 9 people.

Second, we take 150 and divide that by 9 to get our conversion factor for the amount of bleachers that are needed. Our answer comes out to 16.67, which we can assume that the question is asking for enough to seat all 150 of those people.

So we round up to 17, since 16.67 bleachers simply doesn't exist.

How would I solve this and what’s the answer ?

Answers

To solve this you just move the letters and numbers around until you get a different equation that is the same as the original equation.

You can also rule out the last two answers because they don’t have all the values.

P = pie

s=2prh can be written as s/2ph=r if we divide s by 2ph because we need to isolate r because all the answers have r isolated.

So the answer would be b s/2ph=r

Sorry that’s really badly worded and confusing, but I hope it helps.

Find the volume of the rectangular prism with the following dimensions: L=1/2 w=1
h=3/4

Answers

Answer:

  3/8 cubic units

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH

Using the given dimensions, we find the volume to be ...

  V = (1/2)(1)(3/4) = 3/8 . . . . cubic units

What’s the answer for this…


Solve for p

2p + 3 > 2 (p – 3)

Answers

Answer:

2p+3>2(p−3)

Use the distributive property to multiply 2 by p−3.

2p+3>2p−6

Subtract 2p from both sides.

2p+3−2p>−6

Combine 2p and −2p to get 0.

-3>6

This is true for any p.

p∈R

Step-by-step explanation:

Hope this helps! :)

Answer:

C. No solution

Step-by-step explanation:

Sove for p;

2p + 3 > 2 (p – 3)

First: distribute 2 (p – 3):

2 (p – 3)

2(p) + 2(-3)

2p - 6

Now add it back to your original problem:

2p + 3 > 2p - 6

Subtract 3 from both sides of the equation:

2p + 3 > 2p - 6

     - 3         - 3

2p > 2p -9

Subtract 2p from both sides of the equation:

2p > 2p -9

-2p -2p

0 > -9

Therefore, this inequality has no solution, because we could solve for p.

Hope this helps!

If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the blue region? Round answer to the nearest whole percent.
A) 49%
B) 59%
C) 69%
D) 79%

Answers

Answer:

D) 79%

Step-by-step explanation:

I had this question on USATestprep and got it right.

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