A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g (/), is proportional to the number of
seconds, t (x), that the water is running.
What is the constant of proportionality? k=-


help

Answers

Answer 1

Answer:

The constant of proportionality = k = 2/5

Step-by-step explanation:

Given that a garden hose fills a 2-gallon bucket in 5 seconds.

Also given that The number of gallons, g (/), is proportional to the number of

seconds, t (x).

i.e.

g ∝ t

g = k × t

k = g / t

as

g = 2

t = 5

Thus,

k = g / t

  = 2 / 5

Thus, the constant of proportionality = k = 2/5


Related Questions

Parallel lines and transversals

Answers

It would be 140° because if you see the direction of the 70° it’s the same as m<1 and m<2 so you just have to add 70°+ 70° which leads you to 140° :)

Complete the division sentence

Answers

Answer:

4

Step-by-step explanation:

4/6÷1/6=4

.........

Answer:

2/3÷1/6

2/3×6/1

2/1×2/1

4 is the answer

Step-by-step explanation:

when it is division in fraction we will take reciprocal of it

80 yd
64 yd
b
What is the length of the missing leg?
=
yards

Answers

Answer:

b = 48 yards

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Leg a = x

Leg b = 64

Hypotenuse c = 80

Step 2: Solve for x

Substitute:                    x² + 64² = 80²Isolate x term:              x² = 80² - 64²Exponents:                   x² = 6400 - 4096Subtract:                       x² = 2304Isolate x:                       x = √2304Evaluate:                       x = 48

pls pls pls pls help ASAP!!!!!!!!!

[Image: Vertical number line ranging from negative 5 to 5.] On this number line, zero represents sea level. Plot the following points based on the description provided. • –2

Answers

Answer:

plot it at -2

Step-by-step explanation:

it literally tells you where to put it?

hope this helps <3

Answer:

Negative 2

Step-by-step explanation:

negative 2, is below sea level. So on a vertical number line, it will be below rather zero, on -2.

A) The probability distribution below is for the number of radios sold at Kisumu City Sound Store in a week. Radios(X) 0 1 2 3 4 5 P(X=x) 0.03 0.20 0.50 0.20 0.05 0.02 Determine: i. The expected weekly radio sales (3 Marks)

Answers

Answer:

2.1

Step-by-step explanation:

Given :

Radios(X):_0 ___ 1 ___2 ___ 3 ___4 ___5

P(X=x) : 0.03 0.20 0.50 0.20 0.05 0.02

The expected weekly radio sales :

Σ(X) * p(x) : (0*0.03) + (1*0.20) + (2*0.50) + (3*0.20) + (4*0.05) + (5* 0.02) = 2.1

Hence, expected weekly radio sale = 2.1

Without dividing how can you tell if the quotient for 5873 divided into 8 is greater than 700? Explain whether the quotient is less than 800.

Answers

Answer:

Step-by-step explanation:

Given number is 5873.

To calculate the quotient when 5873 is divided by 8 we will use the approximation method.

If 5600 is the number compatible to 5873, where 5873 > 5600

5600 ÷ 8 = 700

If 6000 is the number compatible to 5873, where 5873 < 6000

6000 ÷ 8 = 750

Since, 5600 < 5873 < 6000

Therefore, [tex]\frac{5600}{8}<\frac{5873}{8}<\frac{6000}{8}[/tex]

700 < [tex]\frac{5873}{8}[/tex] < 750

Quotient for 5873 divided by 8 will be greater than 700 and less than 800.

Is x = -3 a solution to the equation 3x - 5 = 4 + 2x ?

Answers

Answer:

No

Step-by-step explanation:

put like terms on either side

3x-5 = 4 + 2x

subtract both sides by 2x

x - 5 = 4

add both sides by 5

x=9

so no x=-3 is NOT a solution.

please give thanks :)

and brainliest :D

f(x) = 2x – 4/?
What are the domain and range

Answers

Answer:

domain

Step-by-step explanation:

range

need some help (Geo)​

Answers

Answer:

hi

Step-by-step explanation:

I don’t know which one it is-

Answers

Answer:

Step-by-step explanation:

its the first one

an=4n

It’s the first one! an = 4n :)

The scale on a floor plan is 1in:8ft. What actual distance is represented by a distance of 2.6 inches on the floor plan?


Answers

Answer:16 and 1/2 feet

Step-by-step explanation:

Use the graph to complete the statements about the data of a car’s hourly journey.
Hours have the same total miles.
After 4 hours, the total distance traveled was miles.
The graph shows that between hours 3 and 4, the car .

Answers

Answer: 12

Step-by-step explanation:

Answer: 2 and 3, 150, continued its journey

Step-by-step explanation:

A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below.

Answers

Answer:

(2, 0)

Step-by-step explanation:

First we need to get the equation of the line passing through the points (3, 1) and (–5, –7)

Equation of a line is y = mx+c

m is the slope

m = y2-y1/x2-x1

m = -7-1/-5-3

m = -8/-8

m = 1

Substitute m = 1 and the point (3, 1) into the equation y = mx+c and get c;

1 = 1(3) + c

1 = 3 + c

c = 1-3

c = -2

The required equation is y = x - 2

We are to look for the coordinate point (x,y) for which both lines intersects, then both equations will be equal as shown;

0.5x - 1 = x - 2

0.5x - x = -2+1

-0.5x = -1

x = -1/-0.5

x = 2

Substitute x = 2 into y = x - 2

y = 2-2

y = 0

Hence the the coordinate point is (2, 0)

Answer: (2,0)

Step-by-step explanation: Because I just took the Unit Test and got 100% on it.

Algebraic Expressions
Read and try to solve the problem below.
The Ramirez family is making tamales. They wrap the tamales in corn husks for baking.
They already have 8 corn husks. Isabel is bringing 3 bags of corn husks. Each bag
has the same number of corn husks.
How can you use an algebraic expression to show the total number of corn husks
the Ramirez family will have after Isabel arrives?
TRY
IT
Math Toolkit algebra tiles, number lines, sticky notes
Lo

Answers

is the answer because the life of the animal turtl

Write the equation in slope-intercept form for the line using the relation (-9,-3) (-6,-1) (-3,1) (0,3) (3,5).

Answers

First find slope
(-1+3)/(-6+9) = 2/3
Y = 2/3x + b
(0,3) y intercept is 3
Solution: y = 2/3x + 3

Help!! I’ve been Stuck on this last problem

Answers

Answer:

..

x = 86

y = 94

z = 54

........

What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundredth if necessary) LaTeX: \begin{matrix}y=\frac{3}{2}x+\frac{5}{4}\\-2x+8y=-25\end{matrix}

Answers

Answer:

(3/2, 7/2)

Step-by-step explanation:

Given the system of equations;

y = 3x/2 + 5/4..... 1

-2x + 8y = 25 .... 2

Substitute equation 1 into 2;

From 2;

-2x + 8y = 25

-2x + 8(3x/2 + 5/4) = 25

-2x + 12x + 10 = 25

10x = 25 - 10

10x = 15

x = 15/10

x = 3/2

Substitute x = 3/2 into equation 1

From 1;

y = 3x/2 + 5/4

y = 3/2(3/2) + 5/4

y = 9/4 + 5/4

y = 14/4

y = 7/2

Hence the solution to the equation is (x, y) = (3/2, 7/2)

Which of the following examples have a constant rate of change?

You are making meatballs and roll out 30 meatballs then in a half hour and then another 30 meatballs in the next 20 minutes.

An electrician earns $50 the first hour plus $35 for every additional hour.

The number of bacteria triples every hour.



will mark brainliest

Answers

Answer:

B/second option

Step-by-step explanation:

The first option is wrong because you make 30 meatballs in 30 mins but then 30 meatballs in 20 mins. If it was constant then in 20 mins you make less meatballs.

The last option is wrong because if bacteria triples, then that is exponential, not constant change.

Only the middle option makes sense. The rate of change is $35 for each hour!

please give thanks by clicking the heart button! :)

The example that has a constant rate of change is

An electrician earns $50 for the first hour plus $35 for every additional hour.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

30 minutes = 30 meatballs

20 minutes = 30 meatballs

This is not a constant rate of change.


$35 for every additional hour.

This means,

1 hour = $35

This is a constant rate of change,

Bacteria triples every hour.

This is an exponential function.

Example:

Number of bacteria initially = 2

Number of bacteria after 1 hour = 3 x 2 = 6

Number of bacteria after 2 hours = 3 x 6 = 18

This is not a constant rate of change.

Thus,

An electrician earns $50 for the first hour plus $35 for every additional hour is a constant rate of change.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

On Thursday, a restaurant serves iced tea to 40 of its 140 customers. What
percent of the customers order iced tea?

Answers

Answer:

28.6%

Step-by-step explanation:

Fraction: 40/140=2/7=0.2857

Converting it to percentage: 28.6%

Hope this helps!

Answer:

28.6%

Step-by-step explanation:

Try to found the wrong upper case I

I    ll    iiiiiIIIIIIllllll

hint 50-2=

put in comments plz

I seoursly took a photo of dat

Mr.Hershamn has purchased a farm that is in the shape of a rectangle. The dimensions of the piece of land are 2.6km by 4.37km. How many square kilometers did he buy,and how many hectares did he purchase

Answers

Answer:

11.362 sq km

1136.2 hectares

Step-by-step explanation:

Given that:

The farm is in the shape of a rectangle.

Dimensions of the rectangular shaped land = 2.6 km by 4.37 km

To find:

Area of land bought in square km and in hectares.

Solution:

First of all, let us have a look at the formula for area of a rectangular shape figure.

[tex]Area = Length \times Width[/tex]

Here,

Length = 2.6 km

Width = 4.37 km

So, Area = [tex]2.6 \times 4.37 = 11.362\ sq\ km[/tex]

To convert square kilometers to hectares, we can use the following conversion formula:

1 sq km = 100 hectares

11.362 km = 100 [tex]\times[/tex] 11.362 = 1136.2 hectares

select the correct answer for x, each answer is rounded to the nearest tenth.

Answers

Answer:

x ≈ 27.2

Step-by-step explanation:

Using the sine ratio in the right triangle

sin54° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{22}{x}[/tex] ( multiply both sides by x )

x × sin54° = 22 ( divide both sides by sin54° )

x = [tex]\frac{22}{sin54}[/tex] ≈ 27.2 ( to the nearest tenth )

A cone shape cup is made from a circular piece of paper of radius 7 by cutting out a sector and joining the edge AC and BC. Find the maximum (volume) of such a cup

Answers

Answer:

The answer is "138.10"

Step-by-step explanation:

Let r also be cone base radius and h = the cone height.  

The radius for the original circle was on either side of the cone plied together = 7.  

The hypotenuse is 7, as well as a right triangle, is formed. So:

[tex]\to h^2+r^2 = 49\\\\ \to r^2 = 49-h^2[/tex]

Calculating the volume of the cone:

[tex]V = (\frac{1}{3}) \pi r^2 h \\\\[/tex]

   [tex]= (\frac{1}{3}) \pi (49 -h^2) h\\\\= (\frac{1}{3}) \pi 49h -h^3\\\\[/tex]

[tex]V'(h) = (\frac{1}{3}) \pi 49 - 3h^2\\\\[/tex]

Setting the derivative to zero and solving for h^2:

[tex]49-3h^2 = 0 \\\\ h^2 = \frac{49}{3} \\\\ r^2 = 49-\frac{49}{3} \\[/tex]

    [tex]= \frac{ 147 -49}{3} \\\\= \frac{98}{3} \\\\[/tex]

Calculating the maximum volume:

[tex]= \frac{1}{3} \pi \frac{98}{3} \frac{7\sqrt{3}}{3} \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= 138.10[/tex]

5x-8y=9 how do you solve this? Or at least an answer?

Answers

y= 5/8x - 9/8


Your welcome
I hope this is helpful

1
Bill is a builder.
On Monday he made mortar mix.
He used 24kg of sand and 5kg of cement.
On Tuesday he will make the same type of mortar mix.
He will use 36kg of sand.
How much cement does he need to make the same type of mortar mix?

Answers

Answer:

7.5kg

Step-by-step explanation:

Given that:

Monday:

Mass of sand = 24 kg

Mass of cement = 5 kg

Tuesday :

Mass of sand = 36 kg

Let mass of cement = c

Mass of cement required to make the same type of mortar mix

Mass of Sand = mass of cement

24kg = 5kg

36kg = c

By cross multiplication :

24 * c = 5 * 36

24c = 180

Divide both sides by 24

c = 180 / 24

c = 7.5 kg

Hence mass of cement required is 7.5 kg

can u explain how to do this question..pls​

Answers

Answer:

use this formula, you will get the answer

Step-by-step explanation:

√(x2-x1)²+(y2-y1)²

Answer:

RS ≈ 5.39

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = R(- 2, 6) and (x₂, y₂ ) = S(- 4, 1)

RS = [tex]\sqrt{(-4+2)^2+(1-6)^2}[/tex]

     = [tex]\sqrt{(- 2)^2+(-5)^2}[/tex]

     = [tex]\sqrt{4+25}[/tex]

      = [tex]\sqrt{29}[/tex]

      ≈ 5.39 ( to 2 dec. places )

how do Translate 4n = x(5 –n) into a sentence.

Answers

Answer:

4b=x3(76)+10

Step-by-step explanation:

Which of the following functions maps 3 to -5?
O f(x) = 4 – x2
O f(x) = x-5
O f(x) = -x + 2
O f(x) = x + 8

Answers

Answer: A

Step-by-step explanation:

Solve the system by substitution

Answers

Answer:

x=-3, y=-24

Step-by-step explanation:

solved by substitution

If is an isosceles triangle, ​with base AC, AB = 3x+2, BC = 7x-6, and AC = 10x – 10, find the value of x and the length of each side of the triangle.

Answers

Answer:

Step-by-step explanation:

If is an isosceles triangle, ​with base AC, AB = 3x+2, BC = 7x-6, and AC = 10x – 10, find the value of x and the length of each side of the triangle.

The sum of angles in a triangle = 180°

AB + BC + AC = 180°

3x + 2 + 7x - 6 + 10x - 10 = 180°

20x -14 = 180°

20x = 180° + 14

20x = 194

In A survey of 2400 people who owned a certain type of car 1680 said they would buy that type of car again. What percentage of the people surveyed were satisfied with the car.

Answers

Answer: 70% i think

70% * 2400 = 1680

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