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
Ghella [55]
3 years ago
10

A hot tub holding 480 gal of water begins to empty at a rate of 5 gal/min. At the same time, an empty hot tub begins to fill at

a rate of 15 gal/min. Let g represent the number of gallons of water and let t represent time in minutes. The system models this situation.
How long will it take for the hot tubs to hold equal amounts of water, and how much water will that be?



g = 480 – 5t

g = 15t
Mathematics
1 answer:
Elena L [17]3 years ago
5 0
<span>solve
 480 - 5t = 15t
 480 = 20t
 t = 24 minutes 
 g= 360</span>
You might be interested in
The table shows a relationship between the number of
Elena L [17]

Answer:

What events or steps are described?

Do these things need to occur in a particular order?

Step-by-step explanation:

4 0
3 years ago
Dr drake is thinking about retirement and decides to sail around the world once he retires. He buys a sailboat for 125000. He bo
Akimi4 [234]

Answer:

$46875.

Step-by-step explanation:

We have been given that Dr. Drake buys a sailboat for 125000. He borrows the money at an APR of 7.5% for five years.

We will find total interest after 5 years by using simple interest formula.

A=P(1+rT), where,

A= Amount after T years.

P= Principal amount.

r= The annual interest rate (in decimal form).

T= Time in years.

First of all we will convert our given interest rate from percent to decimal form.

7.5\text{ Percent}=\frac{7.5}{100} =0.075

Now let us substitute our given values in above formula.

A=125,000(1+(0.075*5))

A=125,000(1+0.375)

A=125,000(1.375)

A=171875

To find the amount of total interest we will subtract principal amount from 171875.

\text{Total amount of interest}=171875-125000

\text{Total amount of interest}=46875  

Therefore, the total interest after 5 years will be $46875.

8 0
4 years ago
IM BEING TIMED, WILL GIVE 25 POINTS (NEEDED WITHIN THE NEXT 20 MINUTES The graph g(x)=x^3-x is shown. (idk how to screenshot, so
saveliy_v [14]

Answer:

The function is

f(x)=0.5x^3-3x^2+5.5x-2

The graph is attached.

Step-by-step explanation:

We have a function g(x) and we need to graph a new function that is function of g(x).

The final function is

f(x)=0.5\cdot g(x-2)+1

We start by calculating g(x-2):

g(x-2)=(x-2)^3-(x-2)\\\\g(x-2)=(x^3-6x^2+12x-8)-(x-2)\\\\g(x-2)=x^3-6x^2+11x-6

Then, we can calculate f(x) as:

f(x)=0.5\cdot g(x-2)+1\\\\g(x-2)=x^3-6x^2+11x-6\\\\\\f(x)=0.5(x^3-6x^2+11x-6)+1\\\\f(x)=0.5x^3-3x^2+5.5x-3+1\\\\\\f(x)=0.5x^3-3x^2+5.5x-2

5 0
3 years ago
Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 orange
MArishka [77]
Answer: $6.60

Hope this helps
4 0
2 years ago
A rental car agency charges $200.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $3
Setler79 [48]
Equation: 0.25x + 200
0.25x + 200 = 345
0.25x = 145
140/0.25 = 580 miles
Answer: 580 miles
3 0
3 years ago
Other questions:
  • Individuals of the same approximate weight running 6 mph or 1 mile every ten minutes have a calorie use factor of 62% of their w
    14·1 answer
  • A rate simplified so that it has a denominator of 1
    6·1 answer
  • The table represents the total miles traveled, y, after a number of hours, x. Hours, x Miles, y 2.5 150 4.0 240 5.5 330 7.0 420
    15·2 answers
  • Mr. James wants to build a walkway around his school garden. The width of his garden is one-third the length. The perimeter of t
    10·1 answer
  • What's the answer please
    7·1 answer
  • The length of a rectangle is 5M more than twice the width and the area of the rectangle is 63M to find the dimension of the rect
    8·1 answer
  • Home (miles) after x amount of hours Distance from home How many total hours does the graph show of Alex's trip?
    11·1 answer
  • Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
    5·1 answer
  • Ty worked 4 hours and earned $28. At this rate, how much would he earn in 9 hours?
    6·2 answers
  • How do you use scientific notation to estimate the hours in a year<br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!