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
zzz [600]
2 years ago
8

A swimming pool already contains

Mathematics
1 answer:
xenn [34]2 years ago
6 0

Answer:

Rate of change = <u>3 gallons/minute</u>

Starting volume = 30 gallons

Step-by-step explanation:

A graph of the pool's water level would be useful.  The slope of the line would represent the rate of change for filling the pool.  It will also help us determine the amount of water that was in the pool to start.  Although it is tempting to say the rate of fill is 45gallons/5 minutes, or 9 gallons/minute, it is not correct.  The pool already started with an unknown volume of water.  The rate of change after 5 minutes, however, can be used.  The problem states it is being added at a constant rate.  Let's find an equation for a line, in the format of y=mx+b, where m is the slope (rate of change) and b is the y-intercept.

We'll let y represent the volume of water in the pool, and x will be the time in minutes.  The y-intercept will give us the amount of water in the pool at the start (x = 0).

The slope can be determined between the two given points:

(5,45) and (30,120):

Slope = Rise/Run [The change in y divided by the change in x].

Rise = (120 - 45) = 75

Run = (30-5) = 25

Slope = 75/25 or 3

The line, so far, becomes y=3x + b

The slope of <u>3 has units of gallons/minute.  It is the rate at which the pool is being filled.</u>

We can find b, the starting volume of water, by using one of the two points in the equation and solving for b:

y=3x + b   [I'll use (5,45)]

45 = 3*(5) + b

<u>b = 30 gallons</u>

<u>The pool had 30 gallons to start (at x = 0(minutes))</u>

See the graph of the line, attached.

You might be interested in
In ▵ABC, if m∠A=80 degree, then m∠c cannot be
Aloiza [94]

Answer:

95

Step-by-step explanation:

jdisusyhsyysysyydyydyyddhdhhdhhdhhd random

7 0
3 years ago
Write -1/16, 5/3, and -5/6 in order least to greatest
antoniya [11.8K]
<span>in order least to greatest
</span>-5/6, <span>-1/16, 5/3

hope it helps</span>
7 0
3 years ago
A bag holds 12 red marbles, 11 green
Blizzard [7]

Answer:

62.22%

Step-by-step explanation:

First, find how many total marbles there are:

12 + 11 + 17 + 5

= 45

Then, find how many marbles that are not blue:

12 + 11 + 5

= 28

Then, divide 28 by 45, and multiply by 100

(28/45) x 100

= 62.22% is the probability of not choosing a blue marble

3 0
3 years ago
Read 2 more answers
What the length of a diagonal of a square with perimeter of 16
Vladimir79 [104]
A- the length of the side of a square
P = 16

P = 4a → 4a = 16  |:4 → a = 4

The diagonal of the square: d = a√2

therefore d = 4√2


4 0
3 years ago
Could someone help me with this I promise it’s the last time!
mario62 [17]

Answer: 64 miles

Step-by-step explanation:

Subtract all of Buck's expenses from the total amount that he spent to isolate the amount of miles.

70.23 (Total) - 39.95 (Flat Rate) - 9.80 (Gas) = 20.48

20.48  ÷ 0.32 (Cost Per Mile) = 64 (Total miles)

Hope this helps!

5 0
3 years ago
Read 2 more answers
Other questions:
  • Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed
    13·2 answers
  • What is x ?<br> what is y ?
    13·1 answer
  • The solutions to the inequality y s 2x - 4 are shaded on the
    12·1 answer
  • Using the expansion for the binomial: ( x^3 − y^4 )^9 :The coefficient for the 6th term is
    12·1 answer
  • How fair is 50% of 140 yards? <br><br> 60yards <br> 50yards<br> 70yards<br> 80yards
    7·2 answers
  • Which statement is true???
    9·2 answers
  • Advertisers want to create "awareness," which is whether a consumer even knows about a business. If your business starts with 3%
    5·1 answer
  • Follow these steps to apply what you have learned about the angles of a triangle.
    9·2 answers
  • Need help solving for relative frequency please!
    9·1 answer
  • I don't need this for school i Just want to see if people can help me with my other studies with a test question. I know this is
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!