1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pavlova-9 [17]
2 years ago
13

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

Mathematics
1 answer:
ikadub [295]2 years ago
4 0

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

You might be interested in
Identify 2 items that you can find at a grocery store that hold less than 100 mL.
GaryK [48]

Answer:

Here you go brother .......  

  • Fruit cup ,  Pudding cup ,  Jello cup , Medicine dropper..

i tried my best please give me brainliest

3 0
2 years ago
The domain of this function is {-12,-6,3,15}. Y=-2/3x+7
Evgen [1.6K]

Considering the given function, the table is completed as follows:

x|y

-12|15

-6| 11

3|5

15|-3

<h3>Which is the function?</h3>

The function is defined by:

y = -\frac{2}{3}x + 7

Hence, when x = -12:

y = -\frac{2}{3}(-12) + 7 = 15

When x = -6:

y = -\frac{2}{3}(-6) + 7 = 11

When x = 3:

y = -\frac{2}{3}(3) + 7 = 5

When x = 15:

y = -\frac{2}{3}(15) + 7 = -3

More can be learned about functions at brainly.com/question/25537936

#SPJ1

6 0
1 year ago
Solve for x I need help on this question
AlexFokin [52]

Answer:

x\approx7.8

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

sin(\theta)=\frac{opposite}{hypotenuse}

sin(23^\circ)=\frac{x}{20}

20sin(23^\circ)=x

x=20sin(23^\circ)

x\approx7.8

Therefore, the length of the opposite side is about 7.8 units

3 0
2 years ago
Please answer this for me i need a step by step example
nataly862011 [7]
I’m not sure. But I’m sure someone will help you. I haven’t done it in a while. Sorry about that
7 0
2 years ago
Read 2 more answers
Given 5n² + 6n + 7 = n² - 4n : a. Find the value of the discriminant. b. State the number and type of roots/solutions/zeros.[2 r
Vika [28.1K]
\bf 5n^2+6n+7=n^2-4n\implies 5n^2+6n+7-n^2+4n=0&#10;\\\\\\&#10;4n^2+10n+7=0\\\\&#10;-------------------------------\\\\&#10;\begin{array}{llccll}&#10;&{{ 4}}x^2&{{ +10}}x&{{ +7}}\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&b&c&#10;\end{array}&#10;\\\\\\&#10;discriminant\implies b^2-4ac=&#10;\begin{cases}&#10;0&\textit{one solution}\\&#10;positive&\textit{two solutions}\\&#10;negative&\textit{no solution}&#10;\end{cases}

if you get a positive value, that means 2 real solutions
if you get 0, means 1 real solution only
if you get a negative value, is an imaginary root solution, same as saying no solution.
4 0
3 years ago
Other questions:
  • Francine cooks vegetable stir-fry 15 days in 4 weeks and chicken stir-fry 6 days in 4 weeks. What percent of the days does Franc
    15·2 answers
  • If f(x) = 3x + 2 and g(x) = x2 – x, find each value.<br> 16. g(2) =<br> g(2) =
    9·2 answers
  • Determine the intercepts of the line that correspond to the following table of values
    6·1 answer
  • Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by ten . (2 points) twenty-o
    9·1 answer
  • 12ad^3 and which terms are like terms?
    9·1 answer
  • Help asap<br><br><br><br><br><br><br><br><br><br><br> 10 points
    11·1 answer
  • Find the area of the triangle. Enter your answer in the box. I really need help with this, the image is below
    9·1 answer
  • What is the radius of a circle when the diameter is 70 m?​
    8·2 answers
  • Miriam is going to the county fair. Each ride ticket costs $2 and admission costs $7. Miriam has $25 to spend at the fair.
    9·1 answer
  • Sara and Sage are making hot cocoa. The tables below show the recipes each one used. Which recipe has the strongest chocolate fl
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!