A bathtub filled with 40 gallons of water drains at an average rate of 3 p minute what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining

Answers

Answer 1

Answer:

The rate of change = 3 gallons of water per minute

initial value = 40 gallons of water

Step-by-step explanation:

Initial volume of the bathtub = 40 gallons of water

Average rate of drain = 3 gallons of water per minute

what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining?

The rate of change is 3 gallons of water per minute and initial value is 40 gallons of water


Related Questions

Can anyone help me ?

Answers

Answer:

1

Step-by-step explanation:

The zero of a liner function is where it crosses the x-axis

1 !!

that’s where the line crosses !

4) What type of angle pair are A. vertical angles
B. supplementary angles
C. adjacent angles
D. linear pair

Answers

Answer:

C. adjacent angles

Hope this helps also please mark brainliest :)

can somebody help me

Answers

okay so for the #1 it says that it take 1/2 (half) a day to paint 1/4 of your bedroom and we want to know how many days it would take to paint all of the bedroom, so 4/4 of the bedroom.
We can say that
1/2(number of day) = 1/4(how much you painted)
to paint all of your room you would have to have painted 4/4 of your room
to get to 4/4 i multiplied 1/4 by 4
you do the same thing to 1/2 so 1/2•4=2
So it would take 2 days to paint all (4/4) of your bed room

I dont if im clear but just think about it
If you take half a day to pain 1/4 of your room, in one day you would’ve painted 2/4 of your room, so in one day you paint 2/4 of your room. And in 2 days you paint 4/4 of your room

Write the equation that models the linear relationship

Answers

Answer:

is it degrees

Step-by-step explanation:

?

PLSS HELP AND DON'T DO IT FOR THE POINTS AND THE FIRST PERSON TO HELP GETS BRAINLIEST

Answers

Answer:

okay I will do fast give me free points

The solution to the system of equation below is (−2, −1).

2x − 3y = −1
11x − 9y = −13

When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.

Which system of equations will also have a solution of (−2, −1)?


5x = −10
11x − 9y = −13


2x + 9y = −1
11x − 9y = −13


−6x + 9y = −1
11x − 9y = −13


−6x + 3y = −1
5x = −10



Which system of equations will also have a solution of (−2, −1)?

Answers

Answer:

I'm pretty sure it's 5x= -10

Answer:

5x = −10

11x − 9y = −13

took test edg 2021

A triangular bike path is exactly 9 miles long. If each of the three connecting paths is a whole-number of miles long, which could be the lengths of the paths? ​

Answers

Answer:

2 miles, 3 miles, 4 miles

Step-by-step explanation:

could yu PLZZZZZZ mark brainliest

Answer:

2 miles, 3 miles, 4 miles

x2 + 8x + 4 = 0

please help
Solve the quadratic equation

Answers

Answer:

4

Step-by-step explanation:

Answer:

x= -2/5 or - 0.4

Step-by-step explanation:

Lucy can buy a pair of shoes from 4 different retailers. Which is the best buy?A.Online Shoes for $32, plus a sales tax of 8% and shipping and handling costs of $6B.From the Best Buy Shoes catalog for $35 plus 8% sales tax and free shipping and handling.C.Local shoe store for $38 with 15% discount and 8% sales taxD.Local shoestore for $40 with 25% discount and 8% sales tax

Answers

9514 1404 393

Answer:

  D. $40 with 25% discount

Step-by-step explanation:

All of the options have 8% sales tax, so that is not important to choosing the best deal.

The store with the lowest price after discount is D (local shoe store #2), as the discount brings the price down to $30 before tax.

The price at store C (local shoe store #1) will be 15% less than $38.00, so about $5.70 less. That is not as low a price as at store D.

The best buy is had at store D.

__

In the spreadsheet, we have multiplied the base price by (1+discount) then added shipping. That total is multiplied by (1+tax rate).

Which statement is correctly written as a conditional statement?

A) Any four-sided shape is a quadrilateral.
B) A shape has four sides when it is a quadrilateral.
C) If a shape has four sides, then it is a quadrilateral.
D) A shape has four sides, or it is a quadrilateral.

Answers

Answer:

C

Step-by-step explanation:

If a shape has four sides, then it is a quadrilateral.

If a shape has four sides, then it is a quadrilateral so option (C) will be correct.

What is quadrilatereal?

A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.

In other meaning, a quadrilateral is a kind of polygon in which four sides for example rectangle, square, and parallelogram are quadrilateral.

a quadrilateral is a four-sided polygon, having four edges and four corners

A parallelogram is a basic quadrilateral with two sets of parallel sides.

The confronting or opposing sides and the opposing angles of a parallelogram are of equal length.

A quadrilateral is a quadrilateral because it has four sides not because it is quadrilateral so it has four sides.

For example, 4 sides are equal so the square is not due to the square all lines will same.

Hence If a shape has four sides, then it is a quadrilateral.

To learn more about quadrilateral,

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Ryan wrote a total of 8 pages over 2 hours. How many hours will Ryan have to spend writing
this week in order to have written a total of 48 pages? Assume the relationship is directly
proportional

Answers

Answer:

12 Hours

Step-by-step explanation:

So it says he writes 8 pages in 2 hours. Which would mean he takes an hour to write 4 pages. You divide 48 pages by 4 hours and you get 12.

What is the intermediate step in the form (x + a)? = b as a result of completing the
square for the following equation?
x2 + 18x + 57 = 12

Answers

Answer:

(x + 9)² = 36

Step-by-step explanation:

Given

x² + 18x + 57 = 12 ( subtract 57 from both sides )

x² + 18x = - 45

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(9)x + 81 = - 45 + 81

(x + 9)² = 36

find the difference of each number and 4. Complete the table to support your answers. The first example is provided. Number Subtraction Expression Addition Expression Answers 10 10 - 4 10 + (-4) 6 2 -4 -6 1

Answers

Answer:

A

Step-by-step explanation:

Just took the quiz

5.
2) Which of the following are equivalent to
the ratio, "There are 6 brunettes for every 4
blondes"? CIRCLE ALL THAT APPLY.
A) 4:6
C) 3:2
B) 9:6
D) 2:3

Answers

Answer:

b

Step-by-step explanation:

divide them by 2 so you'll get the same answer

please help me in this question​

Answers

Answer:

30

Step-by-step explanation:

use Pythagoras theorem at first to find the third side of the triangle it will come 5

then use the formula to find the area of triangle

A=(5x12)/2=30cm2

SHOW WORK PLEASE!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

add hen sub ten bom anwwer

.Which is larger? ½ of 280or⅜ of 400

Answers

Answer:

3/8 of 400

Step-by-step explanation:

3/8 of 400 is 150 while 1/2 of 280 is 140

Austin makes $7.75 per hour at his job at the car wash. How many full hours does Austin need
to work to make $100?

Answers

Answer:

13 full hours

Step-by-step explanation:

Divide.

100 / 7.75 ≈ 12.9

He needs to work FULL hours, so round up.

12.9 -> 13

Best of Luck!

Answer:

He would need to work 13 hours.

Explanation:

If you divide 7.75 from 100 you will get a decimal of 12.9032258065 but if we round then it would be 13 meaning that the answer is 13 hours.

According to a survey conducted by the Texas Free Press, 125 out of 500 people do not have internet access at their homes. What percent of the people surveyed do have internet access at their homes?

Answers

75%
500-125 is 375
375/500 gives 3/4 which is .75
move the decimal over to the right twice to get 75%

125 do not                    

375 have

500 is the total

500-125 =375

375/500

500 divided by 375 = 0.75

75%

-8-3x=-8(1-7x) how many solutions will mark barilest

Answers

Answer:

x=0

Step-by-step explanation:

-8-3x=-8(1-7x)

add 8 to both sides =( -3x=56x)

subtract 56x from both sides (-59x=0)

divide both sides by -59 = (x=0)

Question - Which image shows a 90 degree clockwise rotation about the origin?

Can somebody help me with this. Will mark brainliest!

Answers

Answer:

Choice 1!

Step-by-step explanation:

Andrew spent $45.45 on two shirts that were the same price and a pair of pants. If the pants were $16.99, how much was each shirt?

Answers

Answer:

22.72

Step-by-step explanation:

45.45 divided by 2 is 22.725

Answer:

$14.23

Step-by-step explanation:

$45.45 - $16.99 ( pants ) = $28.46

$28.46 / 2 (since 2 shirts)

$14.23 for both shirts!

factor the expression 2.3 + 15 + 30
PLease please help idk how to do this

Answers

Answer: its 47.3

Step-by-step explanation: factor the polynomial

Answer: 47.3

simple addition

30+15=45

45+2.3=47.3

Which is the function represented by the table ?

Answers

Answer:

its b

Step-by-step explanation:

log(x+1)−log(x−8)=log(10)

How do i solve this?

Answers

9514 1404 393

Answer:

  x = 9

Step-by-step explanation:

The applicable rule of logarithms is ...

  log(a) -log(b) = log(a/b)

__

Use the rules of logarithms to simplify the left side to a single log, then take the antilogs and solve the resulting equation.

  log(x+1) -log(x-8) = log(10)

  log((x+1)/(x-8)) = log(10)

  (x +1)/(x -8) = 10 . . . . . . . take antilogs

  x +1 = 10(x -8) . . . . multiply by x-8

  81 = 9x . . . . . . . add 81-x, simplify

  9 = x . . . . . . . . . divide by 9

_____

When the equation is rewritten to the form f(x) = 0, the x-intercept is the solution.

Order these numbers from least to greatest.
NEEDS HELP NOW! BRAINLIEST!

Answers

Answer:

4.47, 121/25, 4 17/20, 4.859

More details: U could just change them into decimals bc it’s easier that way but people have different ways so it’s ok that’s just my opinion.

What operation is being done to the variable in the equation -5m = -40?

It's being multiplied by -5.
It's being divided by -5.
It's being multiplied by -40.
It's being divided by -40.

Answers

It is being multiplied by -5.

Answer:

it is A

Step-by-step explanation:

4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
c.
Ex-3
d.
2x + 3 = 20
4 10
3
- 4x = -24
2(x - 4) = 10
-0.5x + 1.1 = -2.9
e.
f.

Answers

Answer:

a) 36

b) 8.5

c) 5/2

d) 6

e) 9

f) 8

Step-by-step explanation:

a) [tex]x \div 3 =12[/tex]

Multiply both sides by 3

[tex]x \div 3 =12\\3*(x \div 3) = 12*3\\x=36[/tex]

b) [tex]2x+3=20[/tex]

Subtracting 3 from both sides

[tex]2x+3-3=20-3\\2x=20-3\\2x=17\\x=\frac{17}{2}\\x=8.5[/tex]

c) [tex]\frac{4}{3}x=\frac{10}{3}[/tex]

Multiply both sides by 3/4

[tex]\frac{4}{3}x*\frac{3}{4} =\frac{10}{3} *\frac{3}{4}\\x=\frac{5}{2}[/tex]

d) [tex]-4x=-24[/tex]

Divide both sides by -4

[tex]-4x=-24\\\frac{-4x}{-4}=\frac{-24}{-4}\\x=6[/tex]

e) [tex]2(x-4)=10[/tex]

Divide both sides by 2

[tex]2(x-4)=10\\\frac{2(x-4)}{2}=\frac{10}{2}\\x-4=5\\Adding \ 4 \ on \ both \ sides\\x-4+4=5+4\\x=9[/tex]

f) [tex]-0.5x+1.1=-2.9[/tex]

Subtracting 1.1 on both sides

[tex]-0.5x+1.1-1.1=-2.9-1.1\\-0.5x=-4\\Divide \ both \ sides \ by \ -0.5\\\frac{-0.5x}{-0.5}=\frac{-4}{-0.5}\\x=8[/tex]

A tank is filling up with water at a rate of 3 gallons per minute. The tank already had 5 gallons in it before it started being filled. What is the starting amount of the water tank?

Answers

Answer:

5 gallons

Step-by-step explanation:

there were 5 gallons already in the tank before it started to get filled.

x^2-4x+3=0 complete the square

Answers

Answer:

x^2-4x+3=0
Move the constant to the right
x^2-4x=-3
Add (4/2)^2 to both sides
x^2-4x+(4/2)^2=-3+(4/2)^2
Factor
(x-4/2)^2=1
Reduce the fraction
(x-2)^2=1

x=1

x=3

x1=1, x2=3

As per the quadratic equation, the given equation can be modified into    (x - 2)² = 1. The value of x is 3, 1.

What is a quadratic equation?

A quadratic equation is an equation where the variable has the highest degree of 2. A quadratic equation might have more than one variable. However, the highest degree of any variable must be 2.

Given equation: x² - 4x + 3 = 0

⇒ x² - 4x + 3 + 1 = 1          (By adding 1 on either side)

⇒ x² - 4x + 4 = 1

⇒ x² - 2 × x × 2 + 2² = 1

⇒ (x - 2)² = 1

⇒ x - 2 = ±1

⇒ x = 3, 1

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