Water flows from a faucet at a constant rate. Kian
measures 8 cups of water in 6 seconds.
What is the constant of proportionality for the relationship of cups of water to minutes?

Answers

Answer 1

Answer:

4 cups every 3 second which means so 80 cuos in one minute

Step-by-step explanation:

hope this helps

Answer 2

The constant of proportionality for the relationship of cups of water to minutes is 80

Represent cups with c and time with t.

So, the given parameter can be represented using the following ratio

c : t = 8 : 6

Multiply by 10

c : t = 80 : 60

60 seconds = 1 minutes.

So, we have:

c : t = 80 : 1

Express as fractions

[tex]\mathbf{\frac ct = \frac{80}1}[/tex]

Multiply both sides by t

[tex]\mathbf{\frac ct = 80}[/tex]

Multiply both sides by 6

[tex]\mathbf{c = 80t}[/tex]

A proportional equation is represented as:

[tex]\mathbf{c= mt}[/tex]

Where m represents the constant of proportionality

By comparison:

[tex]\mathbf{m = 80}[/tex]

Hence, the constant of proportionality is 80

Read more about the constant of proportionality at:

https://brainly.com/question/18707816


Related Questions

The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side

Answers

Step-by-step explanation:

Given parameters:

Perimeter of triangle  = 69cm;

 

Unknown:

Length of each side  = ?

Solution:

   Side a is 5cm shorter than side b;

         b  = a + 5  ----- i

   Side c is 5 more than twice side b;

          c = 2b + 5

The three sides of triangle are a, b and c;

  Perimeter is the sum of sides of a body;

      a + b + c  = 69

From i;

        a  = b - 5

        b

       c  = 2b + 5

so;

          b - 5 + b + 2b + 5  = 69

           4b = 69

            b  = 17.25cm

a  = b -5  = 17.25 - 5 = 12.25cm

c = 2(17.25) + 5  = 39.5cm

7 milloin 481 thousand 624in standard form

Answers

Answer:

7,481,624

Step-by-step explanation:

Answer:

7.48 x10^6

Step-by-step explanation:

Caleb runs laps at the local track. The circular track measures 70 feet across its diameter. How many feet will Caleb run if he stays on the outer edge of the track? (Round to the nearest whole number.)

Answers

Answer:

Caleb will run 237 ft

Step-by-step explanation:

Answer:

Caleb will run 220 ft.

Step-by-step explanation:

70 * pi = 220 ft

An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?

Answers

Answer:

4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.

Step-by-step explanation:

1.5 + 2.5 = 4 ounces.

Multiply by 3

4.5 + 7.5 = 12 ounces

So, she needs 4.5 ounces of yellow.

HEY CAN ANYONE PLEASE HELP ME:))!!!

Answers

there could be a calculator online to solve it

HELP ASAP TEST SOON IMMA FAIL THAT B! HELLLPPPPP! DUE IN 10 MINS HELP! 1. What equation is represented on the graph below?

Answers

Step-by-step explanation:

1 is the starting point since it is on the the axis.

then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1

(it is an addition sign since it is a positive slope)

How many times greater is the value of the 7 in 70,048 than the value of 7 in 17,992

Answers

Five exterior angles of a hexagon are 41° 32°,67º 71°, and 55°, What is the measure of the sixth exterior
angle
Can yo help me

which decimal has the greatest value? 8.21, 82.19,82.09, 8.912​

Answers

Answer:

82.19

Step-by-step explanation:

3/4x+2=5/12 rewite so there’s no fractions

Answers

Answer:

3/4   and  2/5 have a common denominator of 20, so re-write

15/20x - 2 = 8/20       Now multiply both sides by 20

15x-40 = 8

Step-by-step explanation:

Multiply the pairs of numbers and match them to their products.​

Answers

Answer:

-1.2*-7=8.4   -2.5*-2=5   2.5*-2=-5    -1.2*7=-8.4

Step-by-step explanation:

I’m stuck on all of these
:( any help would be very appreciated

Answers

Answer:

1. 8x^3+6x^2+7

Step-by-step explanation:

8x2+4x−3 is divided by 2x−1

Answers

I hope it is helpful for you

Answer:

the answer is 1

Step-by-step explanation: i took the test on k12 hope this helps

Find the volume of the cylinder please

Answers

Answer:

105.m3

Step-by-step explanation:

what number makes equation true enter the answer in the box
_ / 6 = 7

Answers

Answer:

42

Step-by-step explanation:

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John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year

Answers

Answer:

John attempted 500 passes.

Step-by-step explanation:

350 / x = 70%

350 = 0.7x

x = 500

x + 8x + 15 help me out with this plz

Answers

Answer:

3(3x + 5)

Step-by-step explanation:

x + 8x + 15              Combine liked terms

9x + 15

GCF: 3

3(3x +5)                   Factor

classify triangles by its sides and angles geometry

Answers

Answer:

1. isosceles and acute

2. Scalene and acute

3. Equilateral and equiangular

4. Right (and isosceles ?)

(not sure ab isosceles for the last one but everything else is fine)

:)

what does zero stand for​

Answers

Zero stands for 0, or the middle of the graph
On a number line zero is in between negative and positive and is the lowest whole number you can make before you go to the negative side

help meeeeee plsssss

Answers

Answer: 0.57
It’s out of 100, so it’s 57 hundredths

what is the function of this graph?

Answers

Answer:

-2 X3

Step-by-step explanation:

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which of the following are true of linear functions?​

Answers

Answer:

1. 3. 6.

Step-by-step explanation:

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

999 to the nearest thousand

Answers

Answer: 1000

Step-by-step explanation:

Answer:

1000

Is the answer I think

x-1/4(12-x)=x+3(4-x)-2x

A.) -20/7
B.) 20/7
C.) 7/20
D.) -7/20

Answers

Answer:

The answer is B

Step-by-step explanation:

hope this helps

given the function f(x)=2x^3-7x^2-5x+1 find f(-2)

Answers

Answer:

-33

Step-by-step explanation:

2(-2)^3 -7(-2)^2 -5(-2) +1

-16 -28 +11

= -33

2E What is the greatest whole number less than 1000 that:
(1) can be expressed as the sum of two consecutive whole numbers, and
(2) can be expressed as the sum of three consecutive whole numbers, and
(3) can be expressed as the sum of five consecutive whole numbers

Answers

Answer:

(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Step-by-step explanation:

(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n + (n+1) < 1000[/tex]

[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)

Then we solve the inequation by algebraic means:

[tex]2\cdot n < 999[/tex]

[tex]n < \frac{999}{2}[/tex]

[tex]n < 499.5[/tex]

Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n+(n+1)+(n+2) < 1000[/tex]

[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)

Then we solve the inequation by algebraic means:

[tex]3\cdot n < 997[/tex]

[tex]n < \frac{997}{3}[/tex]

[tex]n < 332.333[/tex]

Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]

[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)

Then we solve the inequation by algebraic means:

[tex]5\cdot n <990[/tex]

[tex]n < \frac{990}{5}[/tex]

[tex]n < 198[/tex]

Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

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Answers

I- I'm speechless

Do you even have a question-

Cuanto es 1/4 en pedazos?

Answers

Answer:

1/4 en pedazos seria 1/4 en pedazos

Step-by-step explanation:

la pregunta no tiene sentido

Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".

Step-by-step explanation:

In a normal distribution, 95% of the data fall within how many standard
deviations of the mean?
O A. Two standard deviations
O B. One standard deviation
C. It cannot be determined from the given information.
O D. Three standard deviations

Answers

In a normal distribution, 95% of the data falls within two standard deviations.

What is a normal distribution?

The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.

Here,

We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.

We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.

Hence, In a normal distribution, 95% of the data falls within two standard deviations.

To learn more about the normal distribution from the given link

https://brainly.com/question/4079902

#SPJ1

The table below represents equivalent ratios.

X y
6= 10
12 = 20
??= 45

Answers

Answer:

27

Step-by-step explanation:

6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.

Which expression would be easier to simplify if you used the associative property to change the grouping.

Answers

c? i think its c (Sorry if iim wrong)

Answer:

The answer is D

Step-by-step explanation:

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