Fill in the missing values in the table. Then determine the constant of proportionality.

blank 1) 2 1/3 yards
feet
blank 2)
yards: 3 feet
blank 3) 2 yards :
feet
blank 4)
yards: 4.5 feet
The constant of proportionality is

Fill In The Missing Values In The Table. Then Determine The Constant Of Proportionality.blank 1) 2 1/3

Answers

Answer 1

Answer:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

Here, k is the constant of proportionality.

From the table, taking the first two points to determine the constant of proportionality.

Yards                Feet

1/2                       1.5

1/3                        1

Using the equation

substituting y = 1.5 and x = 1/2

y = kx

k = y/x

k = (1.5) / (1/2)

k = 1.5 / 0.5

k = 3

also substituting  y = 1 and x = 1/3

k = y/x

k = 1 / (1/3)

k = 3

As the constant of proportionality is the same.

Therefore, the constant of proportionality = k = 3

Determining Blank 1

Yards = x = 2 1/3 = 7/3

y = blank 1 = Feet ?

k = 3

Using the equation

y = kx

blank 1 = Feet = y = 3 (7/3)

blank 1 = Feet = y = 7

Therefore, Blank 1 = y = Feet =  7

In other words,

When Yards = 2 1/3, then Feet = 7

Determining Blank 2

Feet = y = 3

Blank 2 = x = yards ?

k = 3

Using the equation

y = kx

Blank 2 = x = yards =  y/k    

Blank 2  = x = yards = 3/3

Blank 2 = x = yards = 1

Therefore, Blank 2 = yards = x = 1

In other words,

When Yards = 1, then Feet = 3

Determining Blank 3

yards = x = 2

Blank 3 = y = Feet ?

k = 3

Using the equation

y = kx

y = Blank 3 = Feet = 3(2)

y = Blank 3 = Feet = 6

Therefore, Blank 3 = Feet = y = 6

In other words,

When Yards = 2, then Feet = 6

Determining Blank 4

Feet = y = 4.5

Blank 4 = x = Yards ?

k = 3

Using the equation

y = kx

x = Blank 4 = y/k

x = Blank 4 = 4.5/3

x = Blank 4 = 1.5

Therefore, Blank 4 = x = Yards= 1.5

In other words,

When Yards = 1.5, then Feet = 4.5

Summary:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3


Related Questions

4. -64
Multiplicative inverse

Answers

Answer:

the answer I got is -23, please let me know if I am wrong.

An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?

Answers

Answer:

2.2 m/s

Step-by-step explanation:

Step one

Given data

An earthquake wave travels through 55 km

hence distance = 55 km

time taken = 25 seconds

Required

the expression relating t and d

Step two:

we know that velocity is

Speed= distance/time

speed= 55/25

Speed= 2.2 m/s

6x+4y=42 -3x+3y=-6 by elimination

Answers

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.

x=5

y=2

Answer: (5, 3)

Step-by-step explanation:

Solve by Addition/Elimination

6x + 4y = 42 −3x + 3y = −6

Multiply each equation by the value that makes the coefficients of x opposite.

      6x + 4y = 42

      (2) ⋅ (−3x + 3y) = (2) (−6)

Simplify (2) ⋅ (−3x + 3y).

      6x + 4y = 42

      −6x + 6y = (2) (−6)

Multiply 2 by −6. 6x + 4y = 42

      −6x + 6y = −12

Add the two equations together to e liminate x from the system.

      6x + 4y = 42

    ±6x + 6y = −12

             1 0y= 30

Divide each term in 10y = 30 by 10.

      10y  =     30

      10          10

Cancel the common factor of 10.

     y = 30/10

  Divide 30 by 10.

      y = 3

Substitute the value found for y into one of the original equations, then solve for x.

Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42

 Multiply 4 by 3.

      6x + 12 = 42

Move all terms not containing x to the right side of the equation.

      6x = 30

Divide each term by 6 and simplify.

      x = 5

The solution to the independent system of equations can be represented as a point.

(5, 3)

The result can be shown in multiple forms.

Point Form:

(5, 3)

Equation Form:

x = 5, y = 3

PLS HELP WILL GIVE BRAINLIEST

ignore the one i marked

Answers

Answer:

im almost postive the one you marked is correct

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

When you elevate by 3 you get:

[tex]\sqrt[3]{g}^{3} = g[/tex]

Hope this helps, have a good day

CAN SOMEONE PLEASE HELP ME ON NUMBER 3

Answers

Answer:

36

Step-by-step explanation:

On a test that has a normal distribution, a score of 41 falls three standard deviations below the mean, and a score of 73 falls one standard deviation above the mean. Determine the mean of this test.

Answers

Answer:

The mean of the test is 65

Step-by-step explanation:

Let the mean be x and SD be y

3 SD BELOW the mean means that we are taking away 3 SD FROM the mean

Mathematically, we have that as;

x - 3y = 41 •••••(i)

73 is 1 SD above mean

Mathematically;

x + y = 73 ••••••••(ii)

So let us solve both equations simultaneously

Simply multiply equation ii by 3 then add to i

x - 3y = 41

3x + 3y =219

4x = 41 + 219

4x = 260

x = 260/4

x = 65

Answer:

its actually 35

Step-by-step explanation:

Please help me with this! I will appreciate the help :)

Answers

Answer:

D

Step-by-step explanation:

I'm pretty sure it's D

how do i solve this problem?

Answers

Answer:

You can use a^2+b^2=c^2;

Step-by-step explanation:

42^2+78^2=(6x-1+10x+5)^2

Answer:

3.5

Step-by-step explanation:

Triangles always equal to 180

42 + 78 + 16x + 4 = 180

124 + 16x = 180

56 = 16x

3.5 = x

4. You have $40 in your wallet, but you do not want to spend all of it. You want to have at least some money left. You find a shirt for $5 and buy it. What is the amount of money (m) you have left to spend?

OPTIONS (MULTIPLE CHOICES) ARE IN THE COMMENTS

Answers

Answer:

B

Step-by-step explanation:

WILL MARK BRAINLIST!!!!
A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights?

Answers

I think it is 8 because 8 * 8 is 64 and 8 * 9 is 72 so it couldn’t be more than 8

Answer: 104

Step-by-step explanation:

I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.

Solve the following equation for c.
ab + cd = e

(Sorry, this is all the info they gave me.)

Answers

Answer:

Step-by-step explanation:

ab + cd = e

       cd = e - ab

         d =(e - ab)/d

Find h. (system of equations)

Answers

Step-by-step explanation:

xtan45° = (x+600)tan30°

x(tan45°-tan30°) = 600tan30°

x = 819.62m.

Therefore h = xtan45° = x = 819.62m.

Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?

Answers

Complete Question:

Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?

Answer:

Tim has 90 hard cover books

Step-by-step explanation:

Represent the paper books as P and the hard covers as H

The total number of books can be represented as:

[tex]P + H = 447[/tex]

From the first statement, we have:

P = 3 less than 4 times H

This means:

[tex]P = 4H - 3[/tex]

Required

Solve for H

Substitute 4H - 3 for P in [tex]P + H = 447[/tex]

[tex]4H - 3 + H = 447[/tex]

Collect Like Terms

[tex]4H + H = 447 + 3[/tex]

[tex]5H = 450[/tex]

Solve for H

[tex]H = \frac{450}{5}[/tex]

[tex]H = 90[/tex]

Hence:

Tim has 90 hard cover books

Can you help with 3,5,6 please Also can you explain how you did 5 please I dont understand well

Answers

Answer:

3) 46 5) 19.5 6) 31.2

Step-by-step explanation:

all the "y" numbers are the product of the "x" numbers being added or subtracted by something. In 5, y=x-1.5

please help :,( .....

Answers

the 4th term is 58

Answer:

there adding one to the thing each time it was at first 10 then 11 then 12 then 13 so there adding one each time so next time its 14

Step-by-step explanation:

If AX) = x2 + 2x + 3, what is the average rate of change of AX) over the interval (-4, 6]? OA 51 B. 40 OC. 31 OD 20 OE 4​

Answers

Answer:

E

Step-by-step explanation:

The average rate of change of A(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 6 ] , then

f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51

f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus

average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E

plzzz help answer tyhese

Answers

The slope is m=2 in the first picture. Can be done by rise/run.

The second graph has an undefined slope. Using rise/run would get the run value = 0 and that'd make the slope undefined because the denominator cannot be 0.

First one the it’s undefined and the second one it’s m=1/2

Simplify the expression 3.8 - 5.1n - 4n + 5

Answers

Answer:

8.8-9.1n

Step-by-step explanation:

Add 3.8+5 together to get 8.8, then add -5.1n and -4n to get -9.1n.

What is 2+2? xd noob

Answers

Answer:

4

Step-by-step explanation:

You can count on your fingers if you need to or use a calculator.

Answer:

2+2 is 4

Step-by-step explanation:

Use the table that shows popular sports car
colors in North America.
a. How many times more respondents chose silver than red?
Round to the nearest tenth if necessary.

Answers

the answer is 2.2 just divide

33 is 90% of what number? Round to the tenths place.

Answers

Answer:

36.7

Step-by-step explanation:

Since 33 is 90% of a number, you can divide 33 by 9 to get 3 2/3. This 3 2/3 is 10% of the number, so multiply 3 2/3 by 10 to get 36 2/3. 36 2/3 rounded to the nearest tenth is 36.7, so there's your answer. Hope it helps!

(Timed) Solve the system of equations work shown

Answers

Answer:There are 2 ways to solve this system: by substitution or by graphing. I will solve this system using both.

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

How would you find x?

Answers

Answer:

A

Step-by-step explanation:

x=7

Which expression is equivalent to -44
PLease asap 12 points please dont just take them

Answers

Answer:

|44|

Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)

Step-by-step explanation:

-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative

Answer:

One equation is -22+-22

I need help plzzzzzzzzz

Answers

You need to create a right triangle and use a^2+b^2=c^2 to find the hypotenuse

Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6

Answers

I have no idea sorry
Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−9x-6

Please help! Thanks!​

Answers

Answer:

G.) 6

Step-by-step explanation:

The way the question is worded leads me to believe you're looking for the range. In this case, it is 6, because 12 (the greatest valued data point) minus 6 (the least valued data point) is 6.

anyone question 8 pleaseeeeeeeeeee

Answers

Answer:

$200 and $450

Step-by-step explanation:

We can start by assigning variables to our unknowns.

Our unknowns are the price for a DVD player and the price for a television.

x= price of a television

y= price of a DVD player

Next, let's translate the given information into a system of equations.

two televisions and three DVD players for $1750

2x+3y=1750

four televisions and one DVD player for $1250

4x+y=1250

Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.

First, from the second equation, we subtract 4x from both sides.

4x+y-4x=1250-4x

y=1250-4x

Now we plug 1250-4x for y in the first equation.

2x+3y=1750

2x+3(1250-4x)=1750

Distribute.

2x+3*1250-3*4x=1750

Simplify.

2x+3750-12x=1750

Combine like terms.

-10x+3750=1750

Subtract 3750 from both sides

-10x+3750-3750=1750-3750

-10x=-2000

Divide both sides by -10

x=200

A television costs $200.

Now using that, we can plug that into one of the original equations. I'll use the second one.

4x+y=1250

4(200)+y=1250

800+y=1250

Subtract 800 from both sides.

y=450

A DVD player costs $450

You can plug those values back into the other equation (the first one) to double-check if you'd like as well.

The graph of is shown on the grid.







Which ordered pair is in the solution set of ?

Answers

Answer:

where's the graph rn ?

Step-by-step explanation:

is this question complete?

Be a bit more specific


help! find domains! algebra!

find domains of
2(x-2) +4
2*-(x-2) + 4

i will give brainliest to a correct answer with explaination!

Answers

Answer:

The domain of 2(x-2)+4 is all real numbers, as well as for 2-(x-2)+4

Step-by-step explanation:

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