A water tank holds 486 gallons but leaking at a rate 4 gallons per week. A second water tank holds 648 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the 2 tanks? The amount of water that holds the two tanks will be the same in _ weeks.

Answers

Answer 1

The first tank contains

486 gal - (4 gal/week) t

gal of water after t weeks.

Similarly, the second tank contains

648 gal - (7 gal/week) t

gal of water.

The tanks hold the same amount of water when these two amounts are equal:

486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t

(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal

(3 gal/week) t = 162 gal

t = (162 gal) / (3 gal/week)

t = 54 weeks


Related Questions

2(3-p)=17=41 show answer.

Answers

this is what I found hope its correct!‍♀️

Melissa made a total of 14 baskets during her last basketball game. She made a number of 2-point baskets and a number of 3-point baskets for a total of 33 points. Using matrices to solve, how many 3-point baskets did Melissa make in her last basketball game? 3 5 9 11

Answers

Answer:

The answer should be 5

Step-by-step explanation: cause 3x5=15 which leaves 9 more shots that are equal to 2 2x9= 18 and 18+15= 33 which means the answer is 5

Answer:

B.) 5

Step-by-step explanation:

Edge2021

Point g is on line segment FH. Given FG=5x+2, GH= 3x-1, and FH= 9, determine the numerical length of FG.

Answers

Answer:

Step-by-step explanation: fg + Gh = fh

8x+1=9

8x=8

X=1

The numerical length of the line segment FG is 7 units.

Given that, FG=5x+2, GH= 3x-1, and FH= 9.

We need to find the numerical length of FG.

What is a line segment?

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.

Now, FH=FG+GH

⇒9=5x+2+3x-1

⇒8x+1=9

⇒8x=8

⇒x=1

So, FG=5x+2=7

Therefore, the numerical length of the line segment FG is 7 units.

To learn more about a line segment visit:

https://brainly.com/question/25727583.

#SPJ2

can someone help me with this question? I keep on getting it wrong.

Answers

Answer:

102

Step-by-step explanation:

Let x be the amount of money John spends.

x/2-5=46

x/2=51

x=102

NEED HELP ASAP!!!
TEN POINTS!

Answers

The answer it’s letter D

Explain the steps you would take to find the quotient of 1/3 divided by 4/3

Answers

Sample Response: First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.

here u go:)

First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.

have a great day :)

Karen owns a seafood restaurant. She orders trout from an online retailer.
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order. However, if Karen orders 10 or more pounds, the trout
costs only $24 per pound, but the shipping fee is $6.
Which piecewise function models the cost of x pounds of trout?
A. f(x) =
30x + 2, 0 < x < 10
24x + 6, 2 > 10
O B. f(2)=
24x + 6, 0 << < 10
30% +2, 2 > 10
O c. f() =
{
30x + 2, 0 << < 10
24x + 6, 3 > 10
D. f(x) =
24x + 6, 0 < x < 10
30x + 2, 3 > 10
< PREVIOUS

Answers

Answer: 30x+2, 0<x<10

24x+6, x>10

Step-by-step explanation:

Make sure the x>6 has the line under the >. It would not let me enter it like that.

The piecewise function that models the cost of x pounds of trout is:  [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex],

What is piecewise function?

"It is a function that is defined on a sequence of intervals."

For given question,

'x' represents number of pound of trout.

Each pound of trout costs $30, and the company charges a $2 fee for

shipping the order.

We write this in equation form as,

f(x) = 30x + 2

This is possible if Karen orders less than 10 pounds.

So, the function would be,

f(x) = 30x + 2, 0 < x < 10

If  Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6.

This means, the function would be,

f(x) = 24x + 6, x > 10

Hence, the piecewise function that models the cost of x pounds of trout is:  [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex]

Learn more about piecewise function here:

https://brainly.com/question/12561612

#SPJ2

a ball is thrown straight up from a height of 3 ft with a speed of 32 ft/s.

Answers

It was thrown about the length of 26ft

Are angles 1 and 2 a linear pair? Yes or no.

Answers

no because it doesn’t add up to 180°

Which of the following equations has been vertically stretched by a factor
of 5?
A) Y=|x+5|
B) Y=|x-5|
C) Y=5|x|

Answers

I think c because it’s talking about a factor

Which of the following expressions are equivalent to 3V 2 ? Select all that apply. ​

Answers

Answer:   A  C and D

                               

Step-by-step explanation:

A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are represented by 18 centimeters on the blue print?

Answers

Answer:3.6 m

Given:10cm=2m

Then, 5cm=1m

Therefore, (18/5)= lenght I'm meters on blueprint scale

(18/5)=3.6m

Someone please help me!!!​

Answers

Answer:

thats easy you don't need help

Step-by-step explanation:

which expression is equivalent to 42+90?

Answers

Step-by-step explanation:

42+90 can be written in many ways.

Fore example, it can be written with double negatives, or even commutative property.

42-(-90) or 90+42

(21x2)+(45x2) or (6x7)+(3x30)

Sorry if it's wrong...

Classify the system of equations and identify the number of solutions. 5x + y = 2 2y = 4 − 10x

Answers

infinitive

Step-by-step explanation:

The system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The system of equations are:

5x + y = 2

2y = 4 − 10x

The system of equations can be written as:

5x + y = 2 ..(I)

10x + 2y = 4 ...(II)

In equation (II) divide by 2

5x + y = 2 ..(III)

Equations (I) and (III) represent the same equation:

The system of equations represents the Dependent because the solution to the system of equations has infinitely many solutions.

Thus, the system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

i have a zero in the ones place. i am greater than 20 but less the 39 what am i

Answers

Answer:

30

Step-by-step explanation:

Dominic placed the following pieces of lumber in order from shortest to longest 23 over three 7 and 7/8 7.9 to 68 square root

Answers

Answer:

23/3

7 7/8

7.9

Step-by-step explanation:

What is the value of y in the solution to the following system of equations?
5x – 3y = -11
2x - 5y = -14

Answers

Answer:

{x,y} = {33/19,-2/19}

Step-by-step explanation:

Answer: For 5x-3y=-11, the answer is y=11/3 + 5x/3.

For 2x-5y=-14, the answer is y=14/5 + 2x/5

Step-by-step explanation: Move all terms that do not contain y to the right side and then solve.

I hope this helps you out! :)

What is the unit rate (words per 1 minute) for
this scenario?



Lucy can type 300 words in 5 minutes. How many words can Lucy type in 27 minutes.

Answers

Answer: Lucy can type 1620 words in 27 minutes. She types 60 wpm, so you need to multiply 60x27 = 1620.

What is the value of m?
O 10
O 30
O 70
O 150

Answers

30is the correct answer


Simplify:

6(1 + 6x) <6(1 - 5x)

Answers

Answer:

x < 0

Step-by-step explanation:

A class has 6 boys and 15 girls. What is the ratio of boys to girls?

Answers

Answer:

6/21

Step-by-step explanation:

bc thats the answer

Answer:

Simplified: 6/15 = 2/5

Step by-step explanation:

Evaluate the expression when a = -2 and b=2.
a-2b

Answers

Answer:

-6

Step-by-step explanation:

a-2b

-2-2(2)

-2-4

-6

Each graph shows two polygon's A B C D and A' B' C' D in each case, describe a sequence of transformation that takes A B C D to A 'B 'C' D' So basically l need help describing the sequence of transformation​

Answers

Answer:

1. Reflection across y-axis and translated down 1 unit

2. 270 degree counterclockwise rotation and translated right three units.

Step-by-step explanation:

For number 1, when you reflect across the y-axis, the polygon is one unit above the intended location, so you would move it down one.

For number two, when you rotate it 270 degrees counterclockwise, it is to the left three units, so you would move it to the right three units.

PLEASE HELP!!! I WILL GIVE BRAINLIEST AND 100 POINTS

Answers

Answer:

2x - 2y or x -2y or 0pick one out of the three

Answer:

B

Step-by-step explanation:

So we have the equation:

[tex]4xz-4yz=5[/tex]

And we want to find the value of 5/4x in terms of x and y.

From our original equation, let's factor out a 4z from the left. So:

[tex]4z(x-y)=5[/tex]

Now, divide both sides by 4z:

[tex]x-y=\frac{5}{4z}[/tex]

Therefore, the expression that represents 5/4z is x-y.

The correct answer is B.

Please solve need help!

Answers

Answer:

ST 45

Step-by-step explanation:

9x=4x+25

5x=25

x= 5

plug back in 9(5)

The function f is defined by the following rule.
f(x) = 3x - 3
Complete the function table,
X
- 4
2
5

Answers

X= -4; f(x)= -15
X= 2; f(x)= 3
X=5; f(x)= 12

¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
A 0.15
B 0.16
C 0.1
D 0.2

Answers

Answer:

A0.15

Step-by-step explanation:

f(0) = x - 9
Help if you can?!

Answers

Answer:

Substitute the given value into the function and evaluate is

− 9

find the value of f(3) for the function f(x)=-4(x+3) f(3)=

Answers

Answer:

-24

Step-by-step explanation:

Given function

f(x)= -4(x+3)

To find

f(3)=?

Solution

Substitute x with 3 in the equation to find f(3)

f(3) = -4(3+3) = -4*6 = -24
Other Questions
Find the midpoint of the line segment joining the points (-1,-2) and (-3,13) What's the greatest common factor of 26 and 104 (gcf) 3. According to Montesquieu, what was the main purpose of government? What did hedetermine was the best form of government? Why? Help quick !! Will give brainliest A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of days. Find the total earnings the cupcake shop earns in 5 days. Rochelle knows that the music on her computer is stored in the form of numbers. Which hardware component processes these numbers into a form that her speakers can play as music?control unitrandom access memorymonitorALU how did the trade between barbados and south carolina affect the south carolina colonists Which of the following food items would you be likely to eat at Thanksgivingdinner?A. Los fideosB. El pavoC. Las chuletasD. El pato Rey is considering buying shares of TWA stock. The stock currently sells for $50 per share. The stock changes in value at 9:00 am each day, either increasing in value by $11 or decreasing in value by $13. The stock will increase in value with 40% probability, and decrease in value with 60% probability. The stock follows a random walk. In two days, what is the probability that the TWA stock is greater than $30 a 2-pack of frozen burritos costs 2.32.what is the unit price ? How do you begin typing in a table cell? A. Click within a cell and begin typing.B. Highlight the table and begin typing.C. Click on the Convert to Text button in the Layout ribbon.D. Right-click and select Text Direction. Can someone please help out with this? I have 0 clue what Im doing and it doesnt seem too difficult, thanks! 1. What brought freedom for the slaves besides the Union winning the Civil War? A house uses an average of 1.2 megawatt hours (MWh) of electricity per month. Electricity costs $0.13 per kilowatt hour (KWh). How much $ will the yearly electricity bill be? Hint - there are 1000 KWh in 1 MWh. Use dimensional analysis. JUST ONE PLZ!Which describes a characteristic of quartzite?igneousfoliateddoes not split into layersgrains arranged in parallel layers WILL DO BRAINLIEST IF RIGHT ASAP Evaluate the expression for r = 2. 40(31 16r)2 + r2 = Is 0.45 repeating an integer The ground temperature at Brigham Airport is 17 C. The temperature decreases by 4.9 C for every increase of 1 kilometer above the ground. What is thetemperature outside a plane flying at an altitude of 5 kilometers? What do all of the elements in group 13 have in common? Payton goes shopping. She finds two shirts. One costs $24.97 and the other costs $13.75. She needs toknow if she has enough money to buy both shirts. Using mental math, she rounds $24.97 to $25.00 andadds that to $13.75 to get $38.75. How does Payton need to compensate to find the exact total of the twoshirts?O A. Subtract $0.03.B. Add $0.03.O C. Add $0.25.OD. Subtract $0.28.