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

On a certain hot​ summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer: 219 children and 72 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children , y= Number of adults.

As per given,  x+y = 291      (i)

1.5x+2y = 472.50         (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582  (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.

nobody answered this so i give up

Answers

Answer: um i answered so yah im bored can u talk???

Step-by-step explanation: ;)

3 pts
Solve the exponential equation. Round your answer
to the hundredths.
3 (2") = 48
Help plz

Answers

Answer:

22.5

Step-by-step explanation:

You subtract 3 from both sides and then divide 2 from both sides which should look like this

3(2x)=48

-3      -3

2x=45

-:- 2

x=22.5

please help and show work if you can I only need 10, 11 and 12​

Answers

Answer:

Step-by-step explanation:

10). AD = BC [If ABCD is a parallelogram]

     3x + 1 = 6x - 4

     6x - 3x = 1 + 4

     3x = 5

     x = [tex]\frac{5}{3}[/tex]

11). If ABCD is a parallelogram,

     AB = CD

     5x - 8 = 2x + 7

     5x - 2x = 7 + 8

     3x = 15

     x = 5

12). If ABCD is a parallelogram,

     AB = CD

     AB║CD and BD is a transversal intersecting these parallel lines.

     ∠ABD ≅ ∠BDC [Alternate interior angles]

     4x - 1 = x + 38

     4x - x = 38 + 1

     3x = 39

     x = 13

A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many chickens does the farmer have?

Answers

Answer:

32 chickens

Step-by-step explanation:

Let

The number of cows = x

The number of chickens = y

A farm raises cows and chickens. The farmer has a total of 46 animals.

x + y= 46..... Equation 1

x = 46 - y

Number of legs of chickens = 2

Number of legs of cows = 4

One day he counts the legs of all his animals and realizes he has a total of 156 legs.

Hence:

2x + 4y = 156.... Equation 2

We substitute 46 - y for x in Equation 2

2(46 - y) + 4y = 156

92 - 2y + 4y = 156

- 2y + 4y = 156 - 92

2y = 64

y = 64/2

y = 32

Solving for x

x = 46 - y

x = 46 - 32

x = 14

The number of cows = x = 14 cows

The number of chickens = y = 32 chickens

Therefore, the number of chickens that the farmer has is 32 chickens

A train at a constant speed and goes 7.5 kilometers in 6 minutes. At the rate:
How far does the train go in 1 minute?
How far does the train go in 100 minutes?

Answers

Answer:

The distance covered by a train in 1 minute = 1.25 kilometers

The distance covered by a train in 100 minutes = 125 kilometers

Step-by-step explanation:

The distance covered = 7.5 kilometers

Time taken = 6 minutes

Calculating unit rate

unit rate = 7.5 kilometers / 6 minutes

              = 1.25 kilometers per minute

Thus,

The distance covered by a train in 1 minute = 1.25 kilometers

and

The distance covered by a train in 100 minutes = 1.25 × 100

                                                                                = 125 kilometers

Evaluate the expressions.

3 + x, when the value of x is 15.

Answers

Answer:

18

3+x (x=15)

so

3+15 =

18

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

The point A(−3,−8) is reflected over the point (2,0) and its image is point BB. What are the coordinates of point B?

Answers

Answer:

(7,8), i'm quite certain

Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.

Answers

Answer:

n=4

Step-by-step explanation:

7n - 4 = 24

24 + 4 = 28

7n = 28

n = 4    

OR  plug in the sets you gave and see if they equal 24

Evaluate the expression below at x = 6.

Answers

Answer:

64

Step-by-step explanation:

[tex](6+1/3x)^2[/tex]

Lets first substitute x into the equation:

[tex](6+1/3[6])^2[/tex]

1/3 times 6 = 2

[tex](6+2)^{2}[/tex]

[tex]8^{2}[/tex]

Which equals 64

Matt decided to go out to eat. He ordered a soda for $2.15, some chicken for $8.77 and a slice of cake for $4.10. What would his entire bill be if he tipped his waiter 18%?

Answers

Answer:  $ 17.72

Step-by-step explanation:

Cost of soda = $2.15 , Cost of chicken = $8.77 , Cost of slice of cake = $4.10.

Total bill amount = (Cost of soda ) + (Cost of chicken) +(Cost of slice of cake)

= $ (2.15 + 8.77 +4.10)

= $ 15.02

Tip amount = 18% of Total bill amount

= 0.18 (15.02)

= $ 2.7036 ≈  $2.70

Entire bill = Total bill amount  + Tip amount

= $ ( 15.02+2.70)

= $ 17.72

Hence, entire bill = $ 17.72

PLEASE PLEASE HELP I AM TIMED! What is the domain and range of the function?

Answers

Answer:

Domain is; d is a set of non - zero integers.

Range will be p(d) for values of; d > 0 or d < 0

Step-by-step explanation:

In Mathematics, the domain is the set of all input values in a given function while range is the set of output values for each given input function.

Thus, looking at the function given;

p(d) = -(28.2/d) + 0.859

It is clear that if d = 0, we will have an undefined solution as any number divided by zero is undefined.

Thus, the domain is; d is a set of non - zero integers.

Range will be p(d) for values of; 0 < d < 0

I'm just struggling a lot with missing angles any help would be great

Answers

the answer to that question would 133 degrees because opposite angles are equal

A t-shirt costs $12. You have a 25% off coupon. How much will the t-shirt cost?

Answers

Answer:

The shirt would be $9 dollars because $3 dollars is 25% of 12.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

25%=/4

12/4=3

3*3to get 75%=9

What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form

Answers

Answer:

slope or m= -5/2

Step-by-step explanation:

What is X?*
7x - 4
5х + 12
8
10
52
64

Answers

Answer:

x = 8

Step-by-step explanation:

You know that 7x - 4 and 5x + 12 are equal, so you can set up an equation and solve it:

[tex]7x - 5 = 5x + 12[/tex]

subtract 5x from both sides

[tex]2x-4=12[/tex]

Add 4 to both sides

[tex]2x = 16[/tex]

divide both sides by 2

[tex]x = 8[/tex]

Answer:

7x - 4......1

5х + 12......2

on multiplying by 3 in eq 1

= 21x-12...3

on substracting eq 2 from 3

21x-12=0

-5x+12=0

=16x=0

x=1/16

sorry but I can't find your answer

but I tried...

A, B & C form a triangle where ∠ BAC = 90°. AB = 4.3 mm and CA = 3.1 mm. Find the length of BC give your ANSWR rounded to 1 DP

Answers

Answer:

4.3^2+3.1^2= square root of 28.1= 5.3

Step-by-step explanation:

What would the temperature be on a hot day?
A.35°C
B.32
C.10°C
D.0°F

Answers

Answer:

A. 35°C.

Step-by-step explanation:

35 C (Celsius), converted to F (Fahrenheit), would be 95. Which would make it a hot day.

So, you answer is 35°c.

jun swims 18 laps and Mara swims 25 laps. How many fewer laps did Jun swim than Mara ?

Answers

Answer:

7

Step-by-step explanation:

All you have to do to solve this is subtract 18 from 25

Answer:

7

Step-by-step explanation:

25-18=7

help me, please
. Which rate is about the same as 45 miles per hour?

A. 95 kilometers per hour

B. 72 kilometers per hour

C. 56 kilometers per hour

D. 32 kilometers per hour

Answers

Answer:

Option B.

Hey there!

According to the question,

45 miles per hour is given.

Then;

1 mile = 1.60 km

45 miles = 1.60*45

= 72 km.

Therefore, 45miles is equal to 72 km.

Hope it helps....

Help me please. I'll give Brainliest.

Answers

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8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?


A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.

B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.

C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.

D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.

Answers

Answer:

I'm sorry but I have no clue. Actually I think it's C.

Step-by-step explanation:

Change 61.5 km into metres.

Answers

Answer:

61500m

Step-by-step explanation:

To convert km into m, multiply by 1000

Answer:

61500metres.

hope it helps.

Derek is selecting a sock from his drawer .He chooses a sock at random and then selects a second sock at random .what is the probability that Derek selected a striped sock both times

Answers

Answer: 1/15

Step-by-step explanation:

The number of striped socks is 2 while the number of total socks are 6. If he chooses a striped socks at first, that will be 2/6.

If he chooses it the second time, the probability will be 1/5 since there'll be 5 socks left and 1 striped.

The probability that Derek selected a striped sock both times will be:

= 2/6 × 1/5.

= 2/30

= 1/15

ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC

Answers

Answer:

BEC°

Step-by-step explanation:

complementary means "to add up to 90°"

90° - 34° = 56°

the Z confused me for a bit, then figured out you tried to type in the angle sign.

Solve the system... I will mark you brainliest!!!!!!

Answers

Answer:

(2,4),(−1,1)

Step-by-step explanation:

Graph 3x + 4y < 24
Please I need it now

Answers

type your equation into the desmos app and you can see the answer

Hope it helps :)

↓Graph Provided Below↓

What is the range of the function graphed below?

A. -2 B. -∞ C. -∞ D. -∞

Answers

I beileve the answer would be -2

PLEASE DUE IN 5 MIN
Charlie is trying to choose between two bike rental companies, Jokes and Spokes and Wheeling. Jokes and Spokes charges $25 initial fee and an additional $5 for each hour rented. Wheeling charges an initial fee of $18 and an additional $6 for each hour rented.

The total cost to rent a bike from Jokes and Spokes can be represented by the equation c = 5h + 25, where h represents the number of hours rented and y represented the cost in dollars.

The total cost to rent a bike from Wheeling can be represented by the equation c = 6h +18, where h represents the number of hours rented and y represented the cost in dollars.

For how many hours of rental is the amount charged by the two companies the same? What is the cost, in dollars, of renting the bike for this many hours?

Answers

7 hours and $60

Step-by-step explanation:

25+5x7=60 and 18+6x7=60

Find the slope of the line

Answers

it is zero *more characters to fulfill answer requirements*

Answer:

10??? sorrybi have no idea

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