A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the ywo fish tanks have the same amount of water?

Answers

Answer 1

Answer:

40! Seconds

Step-by-step explanation:

Calculation for After how many seconds will the two fish tanks have the same amount of water

First step

Based on the information given let the equation be :

150-1/2x=120+1/4x

Second step

Now let solve for x which means that x will be the number of second by multiplying both side by 4

4(150-1/2x)=4(120+1/4x)

=600-2x=480+x

Third step

Let Add 2x on both side

600=480+3x

Third step

Let Subtract 480 on both side

600-480=480-480+3x

120=3x

Last step is to divide both side by 3

120/3=3x/3

40=x

Hence:

x=40 seconds

Therefore After 40 seconds the two fish tanks will have the same amount of water.


Related Questions

Points A,B, and C are collinear. Point B is between A and C. Solve for x.
Find x if AB = 2x-14, BC = x+4 and AC =14

helpp will give brainliest

Answers

Answer:

Ac=14 is you answer i think

Step-by-step explanation:

Hope this helps

On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes. On Saturday she uses 1 1/2 times as much pancake mix as Friday. What fraction of teh box of pancake mix does Merinda use on Saturday

Answers

Answer:

3/8 of the box

Step-by-step explanation:

On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes.

On Saturday she uses 1 1/2 times as much pancake mix as Friday.

On Friday = 1/4 of the box

On Saturday = 1 1/2 × pancake mix as Friday

[tex]\dfrac{3}{2}\times \dfrac{1}{4}\\\\=\dfrac{3}{8}[/tex]

Hence, 3/8 of the box of pancake mix does Merinda use on Saturday.

What is the measure of an exterior angle of a regular 13-gon?

Answers

Step-by-step explanation:

Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.

Hence we have 360°/13 = 27.7° (1d.p.)

The measure of an exterior angle of a regular 13-gon is 27.69°.

What is a regular 13-gon?

A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.

The given polygon is a regular 13-gon.

Therefore, all the exterior angles of this polygon are equal.

We know, each exterior angle of a regular polygon with 'n' sides is

= (360 / n)°

Here, n = 13.

Therefore, the value of each exterior angle

= (360 / 13)°

= 27.69°

Learn more about a polygon here:

https://brainly.com/question/13879119

#SPJ2

[tex]y/8=5[/tex]what is "y' in y/8=5

Answers

Answer:

Y=40

Step-by-step explanation:

Y/8=5

(Y/8)*(8)=(5)*(8)

Y=40

what is the square root of 1225,1764,11025 ​

Answers

35, 42, 105 respectively

Answer:

32, 42, 105

Step-by-step explanation:

(32)^2 = 32×32

= 1225

(42)^2 = 42×42

= 1764

(105)^2 = 105×105

=11025

Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square​ kilometers, what is the population of the​ region?

Answers

Answer:

1250 people

Step-by-step explanation:

Population density = total population / land area

Population density = 50

total population = x

land area 25

50 = x / 25

x = total population = 50 x 25 = 1250 people

Mark goes to buy some food for his friends.He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.Write the eniquality to decribe the possible number of chocolate pies and apple pies that mark can buy

Answers

Answer:

The inequality is given as:

5x + 4y ≤ 50

Step-by-step explanation:

Let the number of

Chocolate pies = x

Apple pies = y

He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.

Hence:

$5 × x + $4 × y ≤ $50

The the inequality to describe the possible number of chocolate pies and apple pies that mark can buy is given as:

5x + 4y ≤ 50

Elliot is promoting a concert and needs to print posters to put up around the city. He gets information from two companies on printing costs. APlus Printing charges a setup fee of $20 and 10 cents for each poster printed. PrintMore, a competing company, charges $55.00 for setup and five cents per poster.

How can Elliot determine which plan will be cheaper?

Answers

is there a picture or is it only text?

Hey I need to survey 2 more people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:

Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?
please do not delete this I need to survey 10 different people for one of my classes thank you <3

Answers

Answer:

do i have to do this ? i can ! or should i ask to someone else

Step-by-step explanation:

Ok....
Why? Easy, It’s fun.
What do I play? I like open world RPG games like mount and blade, assassins creed, and dying light.
How long? Well since I was like... 8ish so about a good 4-5 years
In the future? ldk
All the same console? Yes and I personally think it’ll be a PC.
Hope this helps.

I WILL GIVE BRAINLIEST TO CORRECT ANSWER
-x<-x+7(x-2)

Answers

Answer:

x>2

Step-by-step explanation:

0<7x-14

-7x<-14

x>2

hope that's right

Answer:

x > 2

Step-by-step explanation:

-x < -x+7(x-2)

0 < 7(x-2)

0 < x-2

x > 2

(edited)

An observation tower's shadow is 32 feet long. Not far away, a marble column's shadow is 8 feet long. If the observation tower is 60 feet tall, how tall is the marble column?

Answers

Answer:

15 feet

Step-by-step explanation:

This is calculated using the formula

Height of observation tower/Shadow of observation tower = Height of Marble column/Shadow of marble column

From the question

Height of observation tower = 60 ft

Shadow of observation tower = 32 ft

Height of Marble column = ? x

Shadow of marble column = 8 ft

Hence:

60ft/32ft = x/8ft

Cross Multiply

60ft × 8 ft = 32ft × x

x = 60 ft × 8 ft/32 ft

x = 15 ft

Therefore, the marble column is 15 feet tall

Michael has $10 to put in a savings account . He has two options for a saving account : Option 1 will add $ 100 to his account each week . - Option 2 will double the amount in his account at the end of each week . a) Write a function in terms of x to model each option of savings . b) Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. Determine which option (s) will enable him to reach his goal. Justify your answer.

Answers

Answer:

Option 1:

He starts with $10, and for each week, we add $100

Then his balance as a function of weeks will be:

f(w) = $10 + $100*w

option 2.

Again, we start with $10, and for each week that passes this is doubled, then the equation will be:

g(w) = $10*(2)^w

Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.

option 1:

f(7) = $10 + $100*7 = $710

With option 1 he will have enough

option 2:

g(7) = $10*(2)^7 = $1280

Again, he will have more than $700 in week 7, and we can clearly see that this option is better.

According to the graph, what is the value of the constant in the equation below?

Answers

Answer:

36.

Step-by-step explanation:

plug in the numbers. height=constant/width

height=18

width=2

18=×/2

18×2=36 or 36/2=18

1 I am thinking of a 6-digit number. • The sum of the digits is 38. • The number is under 600 000. What could my number be? Find twelve different possibilities.

Answers

Answer:

A 6 digit number can be written as:

abcdef

Where each letter represents a single digit.

We know that this number is smaller than 600,000, and we also know that:

a + b + c + d + e + f = 38

Now, we have a lot of variables, so we can play a little.

I will suppose that:

f = 6

e = 7

d = 3

c  = 9

then we have:

a + b + 9 + 3 + 7 + 6 = 38

a´+ b + 25 = 38

a + b = 38 - 25 = 13

now let's suppose that b = 8

a + 8 = 13

a = 13 - 8 = 5

Then our number is:

589,376

This number is smaller than 600,000, and if we add the sum of the digits is 38.

Now we want to find 11 other numbers like this.

We can simply change the places of some of the digits, like:

598,376  (also meets the condition)

Where i just changed the positions of the 9 and the 8.

589,367  (also meets te condition)

Where i just changed the position of the 6 and 7.

Now just keep doing that, only take care that the number can not be larger than 600,000, so i will leave the first 5 fixed in that position.

589,673 (also meets the condition)

598,736 (also meets the conditions)

536,798  (also meets the conditions)

536,897  (also meets the conditions)

536,978  (also meets the conditions)

563,798  (also meets the conditions)

563,987  (also meets the conditions)

563,879  (also meets the conditions)

573,689  (also meets the conditions)

573,869  (also meets the conditions)

please help me!!!!!​

Answers

Answer:

AB

Step-by-step explanation:

Increasing by 5/1

13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS

Answers

Answer:

9) 30 years

10) line passing through points AB and BC are perpendicular

Step-by-step explanation:

9) p = 5t + 150    

Current pop. (in thousands) is 150

Double pop. (in thousands) is 300

300 = 5t + 150

150 = 5t

t = 30

10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal

slope of AB = 3

slope of BC = -1/3

Simplify
4x - 3(2 + x) +6y

Answers

Answer:

x + 6y - 6

Step-by-step explanation:

Answer:

x+6y-6

Step-by-step explanation:

Can someone please help me on this

Answers

9514 1404 393

Answer:

  y = -5x³

Step-by-step explanation:

The point of inflection of the parent cubic function f(x) = x³ is at the origin, the same place it is shown on the graph. So, there is no translation involved in creating the graph.

We know the parent function gives f(1) = 1, but here, we have (x, y) = (1, -5). This suggests a vertical scale factor of -5. So, the transformed function is ...

  y = -5x³

Janna is buying a cell phone for her business. The regular price of the cell phone is $179. There is a 30% sale on the phone right now. What will be the final price of the phone?

Answers

Answer: $125 rounded or $125.3 not rounded

Step-by-step explanation:

You need to exchange some of your U.S. Dollars for Australian dollars. For every U.S. Dollar, suppose you get $1.468 in Australian dollarys. If you already have $32.45 in Australian dollars, how much in U.S. Dollars do you need to exchange to have $766.45 in Australian dollars?

Answers

Answer: $500

Step-by-step explanation:

You already have $32.45 in Australian dollars. You however want to have a total of $766.45. You therefore need an extra:

= 766.45 - 32.45

= A$734

1 USD gives A$1.468

The USD you will need is:

= 734/1.468

= $500

Sally rides her bike 164.45 miles in two weeks. She averaged 12.65 miles per hour each time she rode. How many hours did it take her to ride 164.45 miles?

Answers

Answer: It took 13 hours by her to ride 164.45 miles.

Step-by-step explanation:

Total distance =  164.45 miles

Average distance traveled = 12.65 miles per hour  (speed)

[tex]Time = \dfrac{Distance}{Speed}[/tex]

[tex]Time = \dfrac{164.45}{12.65}=\dfrac{16445}{1265}\\\\=13\text{ hours}[/tex]

Hence, it took 13 hours by her to ride 164.45 miles.

The line shown in the graph passes through the points (2, 4) and (-1, 6). Which is the
equation of the line?

Answers

y2 -y 1 / x2 - x1
6 - 4 / -1 - 2
2 / - 3
m = -2/3 x (slope)

Q
A rectangular field is 16m broad
and the ratio of the length and
find the length of the field
breadth is 3:2.
Find the length of the field​

Answers

7.3 is your answer my guy

If each letter represents a different nonzero digit,what must Y be?

A. 7
B. 6
C. 9
D. 8​

Answers

Answer:

D

Step-by-step explanation:

With only 4 options, I substituted the possible numbers for Y. When substituting Y for 8, the right hand column wrote:

8 - Z = 4

Another way to think of this is 8 - 4 = 4.

When using 8, Z must equal 4.

Take this information to the left hand column.

8 - Z = Z

We know Z equals 4 so plug this information in. Is it correct?

8 - 4 = 4

This is correct.

Therefore, the answer is 8, or D.

I will give brainliest to the person who solves this

For each graph shown below, select the correct description for slope and y-intercept. In the fourth column, create an equation that can be used to describe the function shown in the graph.​

Answers

Answer: i dont know

Step-by-step explanation:

Answer:

1.

Slope: Positive

Y-intercept: Positive

y=2x+2

2.

Slope: Positive

Y-intercept: Zero

y=4x

3.

Slope: Positive

Y-intercept: Negative

y=1/2x-5

4.

Slope: Negative

Y-intercept: Positive

y=-1/2x+2

What is the slope of,
(-2,1) and (5,4)?

Answers

Answer:

[tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{4-1}{5--2}[/tex] =

[tex]\frac{4-1}{5+2}[/tex] =

[tex]\frac{3}{7}[/tex]

Mia and holly can clean their room in 20 minutes, working together. Working alone, mia can clean the room in 30. How long would it take holly to clean alone?

Answers

Answer:  Holly would take 60 minutes to clean alone.

Step-by-step explanation:

Let t = Time taken by Holly to clean alone.

Given: Time taken by Mia to clean alone = 30 minutes

Time taken by Mia and holly to clean their room = 20 minutes

Then,

[tex]\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60[/tex]

Hence, Holly would take 60 minutes to clean alone.

3x-5y=22 2x+y=6
may you explain how you got the answer

Answers

Answer:x=4 y=-2

Step-by-step explanation:

3x-5y=22

3x+1.5y=9

-6.5y=13

6.5y=-13

0.5y=-1

Y=-2

Replace/substitute

2x-2=6

2x=8

X=4

2x+y=6---------(2)

y=6-2x---------(3)

putting value of y on equation

3x-5y=22

3x-5(6-2x)=22

3x-30+10x=22

13x=22+30

13x=52

x=52/13

x=4

putting value of x on equation (3)

y=6-2x

y=6-2.4

y=6-8

y=-2

Which table represents a nonlinear function?

Answers

Answer: c

Step-by-step explanation:

Cathy is making bows from a ribbon that is 11 1/5 yards long. She needs to cut the ribbon into equal pieces that measure 2/5 yard to make each bow. How many bows can Cathy make? Sam solved the problem below but got it incorrect. Explain Sam's error.

Answers

Answer:

28 bows

Step-by-step explanation:

Each bow is an equal piece.

1 bow = 2/5 yard

Total yard of ribbon = 11 1/5 yards

Hence:

2/5 yard = 1 bow

11 1/5 yards = x

2/5x = 11 1/5

x = 11 1/5 ÷ 2/5

x = 56/5 ÷ 2/5

x = 56/5 × 5/2

x = 28 bows

Therefore, Cathy can make 28 bows

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