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
Andrew [12]
3 years ago
13

Match the real-world problem to its constant of proportionality.

Mathematics
1 answer:
irakobra [83]3 years ago
7 0

Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒x \propto y \implies k = \frac{x}{y}  

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here, k = \frac{x}{y} = \frac{18.36}{3}  = 6.12

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, k = \frac{x}{y} = \frac{4.17}{3}  = 1.39

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, k = \frac{x}{y} = \frac{16.48}{4}  = 4.12

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  k = \frac{x}{y} = \frac{24}{2}  = 12

So, the proportionality constant is 12.

You might be interested in
Translate the following phrase to an algebraic expression:m more than t
soldier1979 [14.2K]

we can write "m more than t" like this:

m+t

6 0
1 year ago
How do you do this question?
e-lub [12.9K]

Answer:

D. dA/dt = 4h dh/dt in²/sec

Step-by-step explanation:

Given:

A = wh

w = 2h

Substitute:

A = 2h²

Take derivative with respect to time:

dA/dt = 4h dh/dt

dA/dt has units of in²/sec.

7 0
3 years ago
There are 267 students and 21 adults going on a field trip an equal number of people will ride on each bus there are 9 buses how
DiKsa [7]

Answer:

The number of people on each bus is 32

Step-by-step explanation:

We are given

Total number of students =267

Total number of adults =21

So,

Total number of passengers = ( Total number of students)+(Total number of adults)

now, we can plug values

Total number of passengers =267+21

Total number of passengers =288

We are given

Number of buses=9

so,

Number of passengers on each bus = (total number of passengers)/( Number of buses)

now, we can plug values

Number of passengers on each bus  is

=\frac{288}{9}

=32

So,

The number of people on each bus is 32


6 0
3 years ago
Twenty less than 8 times a number is the same as 15 more than the number.
Nezavi [6.7K]
X-number
8x-20=15+x (subtract x)
7x-20=15 (then add 20)
7x=35 (then divide by 7)

I think you've got it from now, if not, just do 35 divided by 7. But go over the steps, so that you know how to do these types of questions.






7 0
2 years ago
Read 2 more answers
Answer question 4 pls for math
brilliants [131]

Answer:

Rule: y = 2x

m = 2

b = 0

Step-by-step explanation:

(17, 34) and (22, 44)

<u>Slope:</u>

m=(y2-y1)/(x2-x1)

m=(44-34)/(22-17)

m= (10)/5

m = 2

<u>Slope-intercept:</u>

y - y1 = m(x - x1)

y - 34 = 2(x - 17)

y - 34 = 2x - 34

y = 2x

y = mx + b

y = 2x

b = 0

3 0
2 years ago
Other questions:
  • -16 = 4/3x -8 Solve please
    14·1 answer
  • Help please! Need help with #6.
    11·2 answers
  • The sum of triple a number and 4 is nine how do I write an equation to represent this problem
    6·2 answers
  • What’s the answer to number one ? Solve please !!
    12·1 answer
  • Matthew's brother gave him 10 video games. Each month, Matthew purchases 5 new video games to add to his collection.
    6·2 answers
  • What is 113.09 rounded to the nearest tenth
    5·1 answer
  • A rectangular garden that is 11 feet wide. the length of the diagonal is 1 foot greater than the length of the garden. what is t
    11·1 answer
  • Multiple choice please answer please
    9·1 answer
  • A penguin population increases by 60%, representing an increase of 3840 penguins. How many penguins were there before the increa
    13·1 answer
  • What is the sum of the first 6 terms of the sequence defined by an = 3n - 2?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!