a) The linear function that models the amount of water after t minutes is given by:
[tex]V(t) = 200 + 12t[/tex]
b) It takes 92 minutes to completely fill the pond.
Item a:
Initially, the pond contains 200 gal of water, that is, the linear function has a y-intercept of 200.Filled at a rate of 12 gallons per minute, thus the linear function has a slope of 12.Then, the function is:
[tex]V(t) = 200 + 12t[/tex]
Item b:
It takes t minutes to fill the pond, t is found for which:
[tex]V(t) = 1304[/tex]
Then
[tex]200 + 12t = 1304[/tex]
[tex]12t = 1104[/tex]
[tex]t = \frac{1104}{12}[/tex]
[tex]t = 92[/tex]
It takes 92 minutes to completely fill the pond.
A similar problem is given at https://brainly.com/question/16302622
ANSWER THE QUESTION CLEARLY PLZZ !!!
Likened :
8 h 45 min = 0845
0615 + 0845
= 1460
= 1500
It was the afternoon, so the day he leave Mbabane is Friday
#LearnWithEXO
Answer:
2hrs 30 mins on Friday or 2:30 in the afternoon on Friday
Step-by-step explanation:
it took the aero plane 8 h 45 minutes to travel
it reached its destination at 6 : 15 on Friday
to find the time and day it started, we just subtract the time it used to travel from the time and day it landed
which is;
8 45
-6 15
=2 30
that is 2hrs 30mins on Friday
The difference between 5 thousands and 4thousends is
Answer:
5000-4000=1000
Step-by-step explanation:
you subtract to get your answer
Which best describes the graph of the function f(x) = 4(1.5)x?
Answer:
B
Step-by-step explanation:
Since this Equation isn't linear because of the squaring, we can eliminate A and C which imply linear functions. Then it's as easy as pluging in zero for the equation and seeing which one works, and you get an answer of B
Their pet fish knew it wasn't right. He knew the Cat shouldn't do those things. The pet fish just knew there would be trouble. There was fish food all over the floor. They would have to buy more! Fish food costs $0.46. If Conrad gave the clerk $1, how much change would he get?
Answer:
0.54
Step-by-step explanation:
1-0.46 is 0.54
Yes.
100 POINTS Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations to their solutions. 2x + y = 12 x = 9 − 2y x + 2y = 9 2x + 4y = 20 x + 3y = 16 2x − y = 11 y = 11 − 2x 4x − 3y = -13 y = 10 + x -3x + 3y = 30 2x + y = 11 x − 2y = -7 x = 2, y = 7 arrowRight x = 5, y = 2 arrowRight x = 3, y = 5 arrowRight x = 7, y = 3
(1st picture): y=2x+3 and y=x+5
(2nd picture): y=4x+2 and y =3x+2
(3rd picture): y=2x+1 and y =x+2
(4th picture): 3x and x+3
The solutions to the system of equations are (5,2), no solutions, (7,3), (2,7), no solutions and (3,5) respectively.
What is the system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
(1) Systems of equations
2x + y = 12
x = 9 − 2y
See the graph given below the solution is the point (5,2).
(2) Systems of equations
x + 2y = 9
2x + 4y = 20
See the graph given below the solution is the point has no solution the two lines are parallel.
(3) Systems of equations
x + 3y = 16
2x − y = 11
See the graph given below the solution is the point (7,3).
(4) Systems of equations
y = 11 − 2x
4x − 3y = -13
See the graph given below the solution is the point (2,7).
(5) Systems of equations
y = 10 + x
-3x + 3y = 30
See the graph given below the system has no solutions.
(6) systems of equations
2x + y = 11
x − 2y = -7
See the graph given below the solution is the point (3,5).
Therefore, the solutions to the system of equations are given below in the figure.
To learn more about the system of equations visit:
https://brainly.com/question/12895249.
#SPJ5
What is the surafce area of a cube with an edge length of 8 inches...QUICKKKK
Answer:
A=384in²
Step-by-step explanation:
A=6a2=6·82=384in²
Which expression is equivalent to mz4?
14
1
2
N
5
3
6
기
O
m22+ m23
+
O
m21+ Mz2
Om 1 m3
//
K
Step-by-step explanation:
m<4 (exterior angle) = m<2+m<3( sum of two opposite interior angle)
hope this helps you.
The expression equivalent to m<4 when the given image is examined is m<2 + m<3.
What are the angles equivalent to m<4?According to mathematical theory, an exterior angle is equal to the sum of the two interior opposite angles. An exterior angle is formed when a line extended from an adjacent side of a regular polygon. An interior angle is the angle that is formed inside the polygon.
To learn more about interior angles, please check: https://brainly.com/question/10638383
help
What is the rate of return when 10 shares of Stock
A, purchased for $15/share, are sold for $210? The
commission on the sale is $6.
Rate of Return = [?] %
Give your answer as a percent rounded to the
nearest tenth
Line k passes through the point (6, -7) and has a slope m=-= 2 Which is the equation of a line that is parallel to line k and passes through the point (-4, 9)?
Answer:
k = -2x + 1
Step-by-step explanation:
Assuming slope is -2 (and not -=2)
9 = -4(-2) + b
9 = 8 + b
b = 1
6. Carla runs 3 miles in 30 minutes.
Find the number of miles Carla runs each minute. Show your work using mathematics.
Find the number of minutes Carla runs for each mile. Show your work using mathematics.
Answer:
Carla ran 0.1 miles per minute.
Step-by-step explanation:
To solve this, we need to use the distance formula.
The formula is d=rt, where d is the distance traveled, r is the rate in which the distance is traveled, and t is the amount of time it took to go that distance. So lets plug it all in.
d=rt
3=(r)(30)
Now, we need to do the inverse of multiplying 30 to both sides, which would be the same as dividing by 30 on both sides.
3/30=(r)(30/30)
0.1=r
The rate is 0.1. Carla ran 0.1 miles per minute.
EEEE
Using the line of random numbers to run one simulation,
what proportion of students tried out for a sport?
O 0.40
A study reported that about 40% of high school students
have tried out for a sport at their school. To find out if this
applies to Jessica's school, she surveyed an SRS of 20
students. Nine of them said that they had tried out for a
sport. To see if this result is surprising, a simulation is to
be conducted to estimate the probability of obtaining a
sample result as high as this one.
Let 0-3 represent students who tried out for a sport and
4-9 represent students who did not try out for a sport.
O 0.45
O 0.50
O 0.60
52644
52348
82462
66233
Answer:
pretty sure its .4
Step-by-step explanation:
52644
52348
82462
66233
2 2 3 2 2 2 3 3 being the # of people trying out so
8/total #of people (20) =.4
Using the line of random numbers to run one simulation, the proportion of students that tried out for a sport is .4
Calculation and Parameters:Given that 40% of students tried out for a sport in a school
The survey is an SRS of 20 students.
Hence, to find the proportion of students that tried out for a sport with the use of a line of random numbers would be:
52644523488246266233Where # is the number of people trying out is 8
2 2 3 2 2 2 3 3
Therefore,
8/total #of people (20)
=.4
Read more about data simulation here:
https://brainly.com/question/9525414
Ill give you brainly if I get it correct.
Answer:
142 degrees.
The angle of a straight line is 180. The angle of EAB is given as 38 degrees. 180 - 38 = 142.
Answer:
[tex]3x - 15 = 2x + 10 \\ 3x - 2x = 10 + 15 = 2 5 \\ x = 25 \\ 3x + 15 =75 - 15 = 60 \\ ebf = 3x - 15 + 38 = 60 + 38 = 98[/tex]
Can someone explain step by step ?
Answer:
e = 128
Step-by-step explanation:
All of the angles equal 180
26 + 26 = 52
180 - 52 = 128
How many solutions does the quadratic equation
x= -150x2 have, and what are they?
How Do You Do Math?
:O
Answer:
study lol
Step-by-step explanation:
watch math videos and don't be afraid to ask your teacher questions it really does help.
john bought a full basket of mangoes when he got home he realised 12 out of the 20 mangoes he bought are bad what is the probability of the good ones
What is the equation of this line?
A.y=-2x
B.y=1/2x
C.y=1/2x
D.y=2x
Answer:
D. y = 2x
Step-by-step explanation:
The slope of the line is 2, so you get 2x. Therefore, the equation is y = 2x.
Answer:
the equation is answer D
Step-by-step explanation:
the slope is 2 and the y-intercept (b) is zero so it isn't written.
There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many children are in the audience.
Answer:
In the audience, there are 90 adults and 54 children
Step-by-step explanation:
If we have 5 adults for every 3 children, we would continue this pattern by saying we have 10 adults for every 6 children, 15 adults for every 9 children, and so on.
We can express this situation into an equation by saying 5x + 3x = 144
8x = 144
x = 18
So now we know there are 5(18) = 90 adults for every 3(18) = 54 children
In the audience, there are 90 adults and 54 children
Answer:
In the audience, there are 90 adults and 54 children
Step-by-step explanation:
I hope this helps ♡
A company is downsizing its employees by 11%. If the company has 200 employees how many staff members are left?
Answer:
178
Step-by-step explanation:
200*11%
200*.11
22 employees will leave
200-22 = 178 left
Algebraically Speaking Write an equation: Rita has $5 in her purse. This is $12 less than she had before she went shopping. How much did she have when she went to the mall?.
-$12 -$5= x
x = value Rita has left when she went to the mall
help please.., asap thanks
Answer:
4.5
Step-by-step explanation:
1. The slope/unit rate in this equation is 4.5. The constant of proportionality, k, is the same thing as the slope, meaning that's the k = 4.5.
What’s the answer to this geometry problem?
Answer:
x = 3
Step-by-step explanation:
(13x - 2) and (12x + 1) are vertically opposite angles and are congruent , so
13x - 2 = 12x + 1 ( subtract 12x from both sides )
x - 2 = 1 ( add 2 to both sides )
x = 3
Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help) thank you!
Answer:
x > -7
make sure to put the sign with the line under it because I can't type it
6 x 10^5 3 x 10^3
Sovle
Answer:
6
*
1
0
5
3
*
1
0
3
Step-by-step explanation:
help me out i will give brainliest i’m in school help
Answer:
C: (4, -12)
Step-by-step explanation:
graph starts at 48 and keeps going down by 4 making the x intercept stop at 4. y intercept goes down by 4 but stops on the negative side of 12. so (4,-12)
You need nuts and bolts for an art project. You have $20 to spend and you can buy nuts for 45 cents each and bolts for 80 cents each. You need at least 30 pieces total. Write a system of inequalities to represent this situation. Let x = #nuts and y= # bolts.
100x100x100x100x100x100x100+=
Answer:
100,000,000,000,000
Plz help this is the last question
Sarah and Emily ran a 324m race. If Sarah ran it in 61.3 seconds and Emily ran it in 60.4 seconds, how much faster was Emily than Sarah? Round to the nearest hundredth and give your answer in meters per second.
=======================================================
Work Shown:
Distance = rate*time
rate = distance/time
----------------
For Sarah, she runs 324 m in 61.3 seconds. Her speed is:
rate = distance/time
rate = (324 m)/(61.3 sec)
rate = (324/61.3) meters per second
rate = 5.28548 meters per second approximately
----------------
Repeat the same set of steps for Emily
rate = distance/time
rate = (324 m)/(60.4 sec)
rate = (324/60.4) meters per second
rate = 5.36423 meters per second approximately
----------------
The last thing to do is subtract the results we got
5.36423 - 5.28548 = 0.07875
This then rounds to 0.08 meters per second when rounding to two decimal places.
Math experts can you please factor this thank you
Answer:
(x - 2) (x + 5)
Step-by-step explanation:
Hope this helps!