1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scilla [17]
3 years ago
12

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallons each second. A second fish tank has 120 gallo

ns of each second. After how many seconds will the 2 fish tanks have the same amount of water?
Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Answer: after 40 seconds, the two tanks will have the same amount of water.

Step-by-step explanation:

Let x represent the number of seconds after which both tanks will have the same amount of water.

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is

150 - 0.5t

A second fish tank has 120 gallons and it is being filled at a rate of 1/4 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is

120 + 0.25t

For the volume of both tanks to he the same, then

120 + 0.25t = 150 - 0.5t

0.25t + 0.5t = 150 - 120

0.75t = 30

t = 40 seconds

You might be interested in
2/3 - 4x + 7/2 = -9x + 5/6 apply the properties.. step by step
Nutka1998 [239]

Answer:

x=5/13

Step-by-step explanation:

2/3+7/2=9x+5/6+4x

2/3+7/2-5/6=9x+4x

lcm of 2,3,6=6

2/3=4/6      7/2=21/6       5/6=5/6

4/6+21/6-5/6=9x+4x

30/6=13x

5=13x

x=5/13

8 0
3 years ago
Read 2 more answers
Water pressure increases 0.44 pounds per square inch (0.44 psi) with each increase of one foot in depth below sea level. Identif
prohojiy [21]

Answer:

Depth below sea level is the independent quantity,

Water pressure is the dependent quantity

Step-by-step explanation:

An independent quantity is a variable that can be changed in an experiment. While, dependent quantity results from the independent quantity or we can say, that depends upon the independent quantity.

Here,

The water pressure increases 0.44 pounds per square inch (0.44 psi) with each increase of one foot in depth below sea level,

So, for measuring the water pressure we took depth below sea level as a variable,

⇒ Depth below sea level is the independent quantity,

While, with increasing depth by 1 foot the pressure is also increase by 0.44 pounds per square inches ⇒ pressure depends upon the depth

⇒ Water pressure is the dependent quantity.

3 0
3 years ago
Read 2 more answers
In need help with the answer
gayaneshka [121]

Answer:

2

Step-by-step explanation:

there is 2:   3<u>  1  </u>

                      4

3 0
3 years ago
Tyler works in retail where she earns $10.50 per hour. She also earns $15 for every new credit account she gets customers to ope
Hitman42 [59]
A 
coefficient = 10.50 or 15, both real numbers that qualify variables 
variable = c and h 
constant = 50 

B 
10.50h + 15c + 50 
10.5 x 37 + 15 x 12 + 50 
388.50 + 180 + 50 = 618.50 

C 
Coefficient would change from 10.50 to 11.25 
<span>It is fixed until the next raise.

I hope my answer has come to your help. God bless and have a nice day ahead!</span>
4 0
4 years ago
Read 2 more answers
In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each poin
Korolek [52]

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

r  {}^{2} =  {x}^{2}  +  {y}^{2}

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

\tan(x)  =  \frac{y}{x}

Remeber since we are trying to find the angle measure, use inverse tan function

\tan {}^{ - 1} ( \frac{y}{x} )  =

Answers For 2,5

{2}^{2}  +  {5}^{2}  =  \sqrt{29}  = 5.4

So r=sqr root of 29

\tan {}^{ - 1} ( \frac{5}{2} )  = 68

So the answer is (sqr root of 29,68).

For -3,3

{ -3 }^{2}  +  {3}^{2}  =  \sqrt{18}  = 3 \sqrt{2}

\tan {}^{ - 1} ( \frac{3}{ - 3} )  =  - 45

Use the identity

\tan(x)  =  \tan(x + \pi)

So that means

\tan(x)  = 135

So our points are

(3 times sqr root of 2, 135)

For 5,-3.5

{5}^{2}  +  {3.5}^{2}  =  \sqrt{37.25}

\tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} )  = 35

So our points are (sqr root of 37.25, 35)

For (0,-5.4)

{0}^{2}  +  { - 5.4}^{2}  = \sqrt{}  29.16 = 5.4

So r=5.4

\tan {}^{ - 1}  (0)  = undefined

So our points are (5.4, undefined)

4 0
3 years ago
Other questions:
  • Lines c and d are parallel lines cut by transversal p. Which much be true by the corresponding angles theorem?
    10·2 answers
  • Two types of barrel units were in use in the 1920s in the united states. the apple barrel had a legally set volume of 7056 cubic
    12·1 answer
  • Urgent!
    8·1 answer
  • Given a mean of 61.2 and a standard deviation of 21.4, within how many standard deviations of the mean do the values 45,78,62,90
    14·2 answers
  • Solve the system of linea<br> 1. y=x<br> y=2x - 11
    6·1 answer
  • Simplify (√2+1)² + (√2-1)²​
    14·1 answer
  • Who has that copy and paste thing where it covers peoples messages
    5·2 answers
  • 3. What is the length of side a rounded to the<br> nearest tenth of a centimeter?
    14·1 answer
  • I really need help pls someone help
    9·1 answer
  • What is 1+1-1 plssssssssssssssssssssssssssssssss its a test and its impossible to solve
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!