proportional constant

Proportional Constant

Answers

Answer 1

Answer:

The value of the proportionality constant (y to x) is: 3/10

Step-by-step explanation:

We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.

i.e. y = kx

and k = y/x

Given the points

(100, 30)(300, 90)(500, 150)

We know that the proportionality constant (y to x) is:

k = y/x

For the point (100, 30)

k = 30/100=3/10

For the point (300, 90)

k = 90/300=3/10

For the point (500, 150)

k = 150/500=3/10

As the value of proportionality constant (y to x) is the same.

i.e. k = 3/10

Thus, the value of the proportionality constant (y to x) is: 3/10


Related Questions

If 99 candies are needed to fill in a jar, calculate the total candies needed to fill in 108 jars.​

Answers

Answer:

10,692 candies

Step-by-step explanation:

Answer:

207

Step-by-step explanation:

Billy is 5 2/3 feet tall. Maris is 4 11/12 feet tall. How much taller is billy

Answers

3/4 feet

You can set this up as an equation and solve

[tex]5\frac{2}{3}-4\frac{11}{12} =5\frac{8}{12} -4\frac{11}{12} =4\frac{20}{12} -4\frac{11}{12}=\frac{9}{12} =\frac{3}{4}[/tex]

Question
What is the solution to this system of equations?
ly
101
y=x-2
y=-0.5x + 4
8
6
2.
6
10
O A. (2,4)
O B. (1,2)
O C. (2,1)
O D. (4,2)
PLS HELP

Answers

Answer:

im not completely sure but i think its A

Answer:

D . (4,2)

Step-by-step explanation:

i got it right !

pleeaseeeeeeeeeee hellpppppp
solve 6x + 2 = 2(x + 4) - 2.

A. x= -1

B. there are infinitely many solutions

C. x= 1

D. x = -7/13

Answers

C

6x+2=2x+8-2
6x+2=2x+6
4x+2=6
4x=4
x=1

hope this helps! :)

find the greatest common factor and the least common multiple of 12 and 20 explain
I’ll give brainleast

Answers

Answer:

GCF: 4

LCM: 60

there are 50 kilometers in 31 miles. which representation does NOT show the same relationship?

Answers

Answer:

There's no options

Step-by-step explanation:

Answer:

Options please

Step-by-step explanation:

Two lines that have the same slope and different y intercepts do not intersect at any points.

True

False

Answers

Answer:

True

Step-by-step explanation:

4x-y= -2
2х + Зу = 13

Answers

Answer:

x = 1/2

y = 4

Step-by-step explanation:

4x - y = -2     --------------------(I)

2x + 3y = 13 --------------------(II)

Multiply equation (I) by 3 and then add

(I)*3         12x - 3y = -6

(II)             2x  + 3y = 13           {Now add and so y will be eliminated}

               14x         = 7

                          x = 7/14

x = 1/2

Plugin x = 1/2  in equation (I)

[tex]4*\frac{1}{2}-y = -2[/tex]

  2 - y = -2

     -y  = -2 - 2

     -y = -4      

   y = 4

Answer:

x=1/2

y=4

Step-by-step explanation:

4x-y=-2

-y=-4x-2

y=4x+2

2x+3y=13

2x+3(4x+2)=13

2x+12x+6=13

14x=7

x=1/2

y=4x+2

y=4(1/2)+2

y=2+2

Y=4

17,12,13,14 whats the middle

Answers

Answer:

6.75

Step-by-step explanation:

Put them in order from least to greatest

12, 13, 14, 17

Add the middle numbers together

13+14=27

Divide the amount of numbers in the set

27/4=6.75

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.

Plz help I’m getting timed

Answers

Answer:

just use a calculator on ur phone.....

Answer:

152.2381

Step-by-step explanation:

Which sets of ordered pairs represent a function? Select all that apply.
A {(3,5), (4, -1), (2, -1), (2, 7), (-3, 6)}
B {(-3, 9), (-2, 4), (-1, 1), (0, 0), (1, 1)}
C {(1, 1), (4, 2), (9, 3), (16, 4), (25, 5)}
D {(9, -3), (4, -2), (1, -1), (0, 0), (1, 1)}

Answers

Answer:

C because X values can't be repeated

Step-by-step explanation:

Find the size of unknown angles

Answers

Answer:

in one angle there is 90 degres

A cookie contains 150 calories. If you eat no fewer than 2 cookies and no more than 8 cookies, how many calories will you consume?

What would the inequality look like

Answers

Answer: 300cal ≤ y ≤ 1200 cal

Step-by-step explanation:

Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.

"if you eat no fewer than 2 cookies..."

This is written as:

2 ≤ x

This means that x can be equal to 2, or larger than 2.

"...and no more than 8 cookies"

This is written as:

x ≤ 8

This means that x can be smaller than 8 or equal to 8.

If we combine those two, we have:

2 ≤ x ≤ 8

And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:

2*150 cal  ≤ y ≤ 8*150 cal

300cal ≤ y ≤ 1200 cal.

69 students bought tickets to a concert. The students made up 46% of the total amount of people. How many people were at the concert

Answers

Answer:

150

Step-by-step explanation:

Answer:

150 people

Step-by-step explanation:

If you turn 69/150 into a percent it will in fact give you 46%

The distance, d, that a car has traveled, as a function of time, t, is given in the table below. What is the average
rate of change of the distance over the interval 2 < t < 9

Answers

Answer: 56 miles/hour

Step-by-step explanation: 498-106=392

9-2=7

392/7= 56 , units- miles/hour

The average rate of change of the distance over the interval 2 < t < 9 is 56 units- miles/hour.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The distance, d, that a car has traveled, as a function of time, t, is given in the table below.

Difference  = 498 - 106

= 392

= 9 - 2

= 7

From the formula:

Rate of change = change in distance/change in time

= 392/7

= 56 units- miles/hour

Thus, the average rate of change of the distance over the interval 2 < t < 9 is 56 units- miles/hour.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ6

how do you find the nth term of a sequence? (don't paste from Google if you don't know)

the sequence is
-1,-3,-5,-7....​

Answers

Use formula an = a1 + ( n - 1)d
a1 = -1, d = -2
Just plug those into equation

Help me plz Ik it is sooooo easy but I just forgot how to do it ... my sister she forgot how to do it to and she sis in 12 grade soo like help plz

Answers

Answer:

59

Step-by-step explanation:

I need help with this plz help me

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

1) Writing the equation of the pattern

Figure 1 has 4 circles.

Figure 2 has 7 circles.

Figure 3 has 10 circles.

Thus, the sequence becomes

4, 7, 10,...

Finding the common difference between the adjacent terms

d = 7 - 4 = 3, d = 10 - 7 = 3

As the common difference is the same, so this represents the Arithmetic sequence.

so

d = 3

as

a₁ = 4

Thus, the nth term of the Arithmetic sequnce is

aₙ = a₁ + (n-1)d

aₙ = 4 + (n-1)3

aₙ = 4 + 3n - 3

aₙ = 1 + 3n

2) Determining the circles in the 23rd figure

As the nth term is given by

aₙ = 1 + 3n

putting n = 23

a₂₃ = 1 + 3(23)

a₂₃ = 1 + 69

a₂₃  = 70

3) Determining the figure having 82 circles

As the nth term is given by

aₙ = 1 + 3n

Given

aₙ = 82

To determine

n=?

Thus,

aₙ = 1 + 3n

82 = 1 + 3n

3n = 82-1

3n = 81

Dividing both sides by 3

n = 27

Therefore, 27th figure will have 82 circles.

Find the equation of the line parallel to -2x +y = 3, that passes through the point
(-3,-1). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or -a/b.

Answers

Answer:

y=-2x-9

Step-by-step explanation:

First, convert -2x+y=3 to an expression in slope-intercept form. This will be written as y=-2x+3.

Parallel lines have the same slope.

So, the slope of the new line will also be -2x.

Now, use the given coordinates and put them and the slope into point-slope form.

Point slope: y-y1=m(x-x1)

y+3=-2(x+3)

Finally, distribute -2 to (x+3) and simplify the equation.

y+3=-2x-6

y=-2x-9

Write the following in standard form.

Answers

Answer:

[tex]\huge\boxed{3x+y=23}[/tex]

Step-by-step explanation:

First off, let's note that when given a slope and a point, we will write our equation in the form [tex]ax+by=c[/tex], where a is the slope and c is the y-intercept.

Since we know the slope, but not the y-intercept, we can start to fill in what we already know.

[tex]3x+y=c[/tex]

Therefore to finish this equation, we must find the y-intercept.

Since we know that the point (7, 2) runs through this line, we can plug it into our formula ([tex]3x+y=c[/tex]) to find the y-intercept, b.

2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.

[tex]3(7) + 2 = c[/tex] [tex]21+2=c[/tex] [tex]23 = c[/tex]

This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation ([tex]3x+y=c[/tex]) as b and finish up the equation for the line.

[tex]3x+y=23[/tex]

Hope this helped!

Yo can I get some help with this question

Answers

Answer:

Step-by-step explanation:

D is congruent to b so the answer is equal to 45 + 3x -10 + 2x + 10 = 180 . this can be to 45 + 5x = 180, and further to 5x + 135 to x=27

There are more than 3 gallons of gas in Berk’s car.

g > 3


A number line going from 2 to 5. An open circle is at 3. Everything to the left of the circle is shaded.
A number line going from 2 to 5. A closed circle is at 3. Everything to the right of the circle is shaded.
A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.

Answers

Answer:

A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.

Step-by-step explanation:

If it is < or > there will be an open circle

If it is ≤ or ≥ there will be a closed circle

On a number line the numbers get larger the more it goes to the right

Answer:

the answer is c

Step-by-step explanation:

the other guy is right he just made his answer really long.

-1t+14=3t+10 what value of t makes this true?​

Answers

Answer:

1 makes this problem true

Step-by-step explanation:

-1t+14=3t+10

-1(1)+14 = 3(1)+10

-1 +14 =3+10 , 13=13

So 1 makes this problem true

please please help i’ll give brainliest tysm:))

Answers

Answer:

The answer is 66 feet.

Hope it helps!!

The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of change of the volume of the cube at that instant (in cubic kilometers per hour)?

Answers

Answer:

dV/dt = 13,5 [Km³/h]

Step-by-step explanation:

The volume f the cube is:

V = x³                 where x is a side of the cube, then tacking derivatives with respect to  time on both sides of the equation

dV/dt = 3*x² dx/dt

dx/dt = 2 km/h

at the time when the side x =  1,5 Km

dV/dt = 3* (1,5)²*2   [km³/h]

dV/dt = 13,5 [Km³/h]

I need help with this, I can't figure it out.

Answers

Answer:

- 4, 13, - 21, 47

Step-by-step explanation:

Using the recursive rule and a₁ = - 4 , then

a₂ = - 2a₁ + 5 = - 2(- 4) + 5 = 8 + 5 = 13

a₃ = - 2a₂ + 5 = - 2(13) + 5 = - 26 + 5 = - 21

a₄ = - 2a₃ + 5 = - 2(- 21) + 5 = 42 + 5 = 47

Thus the first 4 terms are - 4, 13, - 21, 47

You put $2500 in a bank account with 5% interest
1. How much money will you earn in interest?
2. How much money will be in your account after 1 year?

Answers

1. 125
Explanation: 2500 x 0.05 = 125

2.2625
Explanation: 2500 + 125 = 2625

7 − 58z = −23 ASPA

A. 9.38

B. 48

C. −24

D. 24

Answers

Answer:

the given are not correct the real answer is 15/29 or 0.517...

Step-by-step explanation:

7-58z = -23

-58z = -23 -7

-58z =-30 the negatives will cancel each other out

-58. -58

z = 30/58 divide both by 2

z= 15/29 which can also be equal to 0.517...

A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for total spend at the Carnival. In the form y = mx + b

Answers

The answer would be Y=7.50x+15

Someone help plz right answer gets brainliest

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

What do you need help with?

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