A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answers
Answer: The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation [tex]V(t)=5000+1250t[/tex] and its graph is given below.
Explanation:
The total capacity of the pool is 20,000 gallon.
It is given that the pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour. So the initial volume of water is 5000.
Let the time is defined by t. So, the volume of water in the pool after time t is defined as,
[tex]V(t)=5000+1250t[/tex]
The capacity of the pool is 20,000 gallon, therefore the maximum value of V(t) is 20,000.
[tex]20,000=5000+1250t[/tex]
[tex]15000=1250t[/tex]
[tex]12=t[/tex]
The maximum value of t is 12, since the time is always positive, therefore we can say that,
[tex]0\leq t\leq 12[/tex]
The below graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial point is (0,5000) and the other point is (12,20000).
The plot of the graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full is shown below.
The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation [tex]V(t)=5000+1250x[/tex] and its graph is given below.
According to the question, [tex]\rm Volume=20,000\; gallons[/tex]
Let the time be defined by [tex]x[/tex].
So, volume of water is defined as,
[tex]V(t)=5000+1250x[/tex]
[tex]20000=5000+1250x[/tex]
[tex]x=12[/tex]
So, the range is
[tex]0\leq t \leq 12[/tex]
The graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial points is [tex](0,5000)[/tex] and the other point is [tex](12,20000)[/tex]
Learn more about Volume here:
https://brainly.com/question/13338592?referrer=searchResults
Related Questions
A theater has 990 total seats. There are a total of 22 rows in the theater. If each row has an equal amount of seats, how many seats are there in each row? Find the unknown number in the equation 990 ÷ 22 = s.
Answers
There are 45 seats in each row.
Hope this helps!
160% of 35 show work.
Answers
or
35 * 1.60 = 56
You can use percentage multipliers.
100% is 35.
You need to add 60% on
The multiplier for 60% increase is 1.6
35 x 1.6 = 56.
The answer is 56.
Hope This Helps You!
Good Luck :)
- Hannah ❤
F=9/5C+32. Solve for C.
Answers
The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
What is a linear expression?The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
It is given that:
The relationship between F and C is:
F = (9/5)C + 32
To convert temperature from degrees Celsius to degrees Fahrenheit for c:
Make the subject as C:
(9/5)C = F - 32
As we know,
The expression can be defined as the combination of constants and variables with mathematical operators.
9C = 5(F - 32)
C = 5(F - 32)/9
Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
Learn more about the linear expression here:
brainly.com/question/14083225
#SPJ2
Sara pays $11 for 2.75 pounds of cheese.what is the cost per pound
Answers
you just need to divide 11 by 2.75 which would be $4
How many times does 7 go into 5? The remainder is 5.
Answers
You are visiting Washington, D.C. From the American History Museum you walk 5 blocks east and 1 block south to the Air and Space Museum. Then you walk 8 blocks west to the Washington Monument. Where is the Washington Monument in relation to the American History Museum?
Answers
Final answer:
The Washington Monument is 3 blocks west of the American History Museum, after making the described movements starting from the museum.
Explanation:
To determine the relative position of the Washington Monument to the American History Museum, let's track the movements step by step. Starting from the American History Museum, if you walk 5 blocks east and then 1 block south, you arrive at the Air and Space Museum. From there, if you walk 8 blocks west, you will reach the Washington Monument.
Now, since you've walked 5 blocks east initially and then 8 blocks back west from the Air and Space Museum, you've ended up 3 blocks west of your starting position at the American History Museum (because 5 - 8 = -3). The 1 block south movement does not affect the east-west positioning. Therefore, the Washington Monument is 3 blocks west of the American History Museum.
Which of the following is an equivalent form of the mixed number -12 3/4
Answers
Answer: - 51/4
Step-by-step explanation:
simplify and show work please and thank you
4a-13=19
Answers
4a=32
Then divide both sides by 4:
a=8
13+4a-13=19+13
4÷{4a=32}
a=8
Is 95.045 and 95.545 greater or less then
Answers
Sharon is 54 inches tall. A tree in her backyard is 5 times as tall as she is. The floor of her treehouse is at a height that is twice as tall as she is. What is the difference, in inches between the top of the tree and the floor of the treehouse
Answers
20 points
please help
in return brainliest and special thanks
Answers
Use the distributive property to expand the expression. (2x + 4y) − (2z + 4) A) 2x + 4y + 2z + 4 B) 2x + 4y − 2z + 4 C) 2x + 4y + 2z − 4 D) 2x + 4y − 2z − 4
Answers
about 3/4 of the students on the track team are girls. about 3/4 of these girls are in grade 8. what fraction on the track team are grade 8 girls?
Answers
Given that 3/4 of a track team are girls and 3/4 of these girls are in 8th grade, we can multiply the two fractions to find the fraction of the whole track team that are 8th-grade girls, which is 9/16.
Explanation:The question involves two instances of finding 3/4 of a group. Initially, we are given a track team and we are told that 3/4 of the team are girls. If we let the total number of students in the team equal 1 (or 100%), then the fraction representing the girls is 3/4. Further, 3/4 of these girls are in 8th grade. Therefore, to find the fraction of 8th-grade girls out of the whole team, we multiply the two fractions together as follows: 3/4 * 3/4 = 9/16. This means that 9 out of 16 students are 8th-grade girls, assuming that the track team consists of 16 students. If the track team doesn't consist of 16 students, we can interpret the 9 out of 16 as a ratio.
Learn more about Fractions here:https://brainly.com/question/10354322
#SPJ12
The fraction of the track team that are grade 8 girls is [tex]\(\frac{9}{16}\)[/tex].
To find the fraction of the track team that are grade 8 girls, we need to multiply the fraction of the team that are girls by the fraction of those girls who are in grade 8.
Let's denote the total number of students on the track team as [tex]\(T\)[/tex]. According to the information given:
- About[tex]\(\frac{3}{4}\)[/tex] of the students on the track team are girls. So the number of girls on the track team is [tex]\(\frac{3}{4}T\)[/tex].
- About [tex]\(\frac{3}{4}\)[/tex] of these girls are in grade 8. Therefore, the number of grade 8 girls is [tex]\(\frac{3}{4} \times \frac{3}{4}T = \frac{9}{16}T\)[/tex].
Thus, the fraction of the track team that are grade 8 girls is [tex]\(\frac{9}{16}\)[/tex]. This is found by dividing the number of grade 8 girls by the total number of students on the track team:
[tex]\[ \frac{\text{Number of grade 8 girls}}{\text{Total number of students on the track team}} = \frac{\frac{9}{16}T}{T} = \frac{9}{16} \][/tex]
Therefore, the fraction of the track team that consists of grade 8 girls is[tex]\(\frac{9}{16}\)[/tex].
Broccoli cost $1.50 per pound at a store. How much money does 32 ounces of broccoli cost?
Answers
Answer:
32 ounces costs 3 dollars.
Step-by-step explanation:
There are 16 ounces in 1 pound. So 32 ounces is 2 pounds. 1.5*2=3. 32 ounces costs 3 dollars.
I NEED HELP ASAPLouise bought 1 1/4 pounds of roast beef at $2.00 per pound and 2 1/2 pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $
Answers
multiply price by amount bought for each then add them
roast beef: 2.00 * 1.25 = $2.50
turkey: 1.50 * 2.5 = $3.75
3.75 + 2.50 = $6.25 total cost
(3c + 2) + 4(1.3c - 5)
Answers
=7.2c - 18
Can u help me plz plz plz plz
Answers
24/45 is your answer
hope this helps :D
Graph y=47x−2 .
Use the line tool and select two points on the line.
Answers
when x = 0, y = -2
when y = 0, x = 2 / 47
To draw the graph of y = 47x - 2, mark the points (0, -2) and (2/47, 0) and join the points.
The graph is attached.
Jacob tapes down a piece of red tape on a basketball court. The piece of tape is 3/5 yard long. He wants to divide it into sections that are each 1 1/0 yard long.
Answers
There are 6 1/10ths, so the answer is 6 sections
hope this helps :D
Adam has $300 to donate.For the next five weeks he donates $60 each week to a different charity. His remaining donation money can be shown by a sequence.
Answers
At a school, 20% of the sixth-grade students are in the band. There are 22 sixth-grade students in the band. How many sixth-graders are in the school?
Answers
This is a mathematics problem about percentages. It tells us that 20% of the total number of sixth-grade students equals 22 students who are in the band. By setting up and solving a simple equation, we find that there are 110 sixth-grade students in the school.
Explanation:The subject of your question is Mathematics. This problem is about percentages and can be solved by setting up an equation based on the given information.
It says that 20% which is (0.20 in decimal form) of the total number of sixth-grade students equals the 22 students who are in the band. Let's denote the total number of sixth-grade students by X.
Your equation will look like this: 0.20 × X = 22
To solve for X, divide both sides of the equation by 0.20:
X = 22 / 0.20
Therefore, X = 110.
So, there are 110 sixth-grade students in the school.
Learn more about Percentages here:https://brainly.com/question/29306119
#SPJ12
Simplify the expression. 57 – 12 ÷ 4 • 3
Answers
57 - (12/4) x 3 which equals
57 - 3 x 3 which equals
57 -9 = 48
Make sense?
So, 48 is your answer. ☺♥
A gallon of gasoline costs $2.96 your car has a 25- gallon gas tank and can travel 28.8 miles one each gallon of gasoline find the cost of filling your gas tank if it’s already 3/8 full
Answers
To find the cost of filling the gas tank, calculate the empty part of the tank, which is 5/8 of 25 gallons. Then multiply that by the cost of a gallon of gasoline, which gives you $46.25.
Explanation:To solve this problem, we need to calculate how much gasoline is needed to fill up the car's tank considering that it's already 3/8 full and then multiply that by the cost of gasoline per gallon.
Firstly, we need to find out how much of the tank's capacity is empty. The tank has a total capacity of 25 gallons and 3/8 of it is already full. This means 5/8 of the tank is empty. The empty capacity is 5/8 * 25 = 15.625 gallons.
Given that a gallon of gasoline costs $2.96, we need to multiply the cost per gallon by the number of gallons needed. Therefore, the cost to fill the tank equals to 2.96 * 15.625 = $46.25.
Learn more about Cost Calculation here:https://brainly.com/question/33521342
#SPJ12
(03.03 MC) Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points)
The x-intercept is (0, 6); the y-intercept is (−9, 0).
The x-intercept is (6, 0); the y-intercept is (0, −9).
The x-intercept is (3, 0); the y-intercept is (0, −2).
The x-intercept is (0, 3); the y-intercept is (−2, 0).
Answers
Select Equal or Not Equal to correctly classify each statement.
Statement:
1. 14⋅34=?34⋅14 Equal or not equal
2. 34÷25=?25÷34 Equal or not equal
WILL MARK BRAINLIEST
Answers
2. Not Equal
2. 34 / 25 = 1.36. 25 / 34 = 0.73 | 34 / 24 doesn't equal 25 / 34
Hope this helped! ☺♥
a wise man once said 300 reduced by 3 times my age is 114
Answers
To solve the equation, assume the person's age is 'x', then translate the sentence into an equation: 300 - 3x = 114. Isolate the variable by subtracting 300 from both sides, then divide both sides by -3 to find 'x'. The person's age is 62.
Explanation:The subject of this question is Mathematics. Specifically, it involves solving an equation to determine the age of the person mentioned in the quote.
To solve the equation, let's assume the person's age is 'x'. Then, we can translate the sentence '300 reduced by 3 times my age is 114' into the equation: 300 - 3x = 114.
To solve for 'x', we can isolate the variable by subtracting 300 from both sides of the equation, giving us -3x = -186. Finally, dividing both sides by -3, we find that x = 62. Therefore, the person's age is 62.
What is the product?
Enter your answer as a fraction, in simplified form, in the box.
38⋅(−36)
Thank you have a Nice day
Answers
The answer is -1368/10000= -171/1250
Answer:
the product of 38 and (-36) is -1368
Step-by-step explanation:
To find out the product of two numbers, we need to multiply the numbers
positive times negative is negative
38⋅(−36)
38
36
-------------------
228
114
-----------------
1368
the product of 38 and (-36) is -1368
Luis bought stock at $75.40. The next day, the price increased $19.25. The new price changed by -5 3/4% the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable?
Answers
+19.25=
94.65*-5 3/4%
or
94.65*-5.75%=-5.448125
94.65-5.45= $89.30
Which number is the largest? 7.2 ⋅ 10−6, 3.09 ⋅ 103, 2.04 ⋅ 104, 5 ⋅ 103
Answers
5 * 103 = 515
3.09* 103 = 318.27
2.04 * 104 = 212.16
7.2 * 10 - 6 = 66
:)
i hoped this helped :)
Answer:
2.04 × 10^4
Step-by-step explanation:
7.2 × 10^-6 = 0.0000072
3.09 × 10^3 = 3090
2.04 × 10^4 = 20400
5 × 10^3 = 5000
Can I get some help with 1) plz