A liquid solution is slowly leaking from a container. The graph shows the milliliters of solution, y, remaining in the container after x minutes.
How many minutes will it take for the container to empty if the solution continues leaking at the same rate? Show your work or explain how you know.
Answers
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
Related Questions
PLEASE HELP
A cleaning spray contains 1/2 cup of vinegar for every 4 teaspoons of lemon oil
how many cups of vinegar are needed for 2 teaspoons of lemon oil?
Answers
Answer:
1/4 cup of vinegar for 2 tsp of lemon oil
Step-by-step explanation:
got it right on I-ready
and the Rate in cups of vinegar per teaspoons of lemon oil is 1/8
Write the equation of a line in point slope form that passes through (-1, 4), and is perpendicular to y = -4x +3
Answers
Answer:
y = 1/4x + 17/4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Perpendicular lines have the negative reciprocal slope.
m = 1/4
y = 1/4x + b
4 = 1/4(-1) + b
4 = -1/4 + b
17/4 = b
y = 1/4x + 17/4
A person going to a party was asked to bring 4 different bags of chips. Going to the store, she finds 13 varieties.
How many different selections can she make?
(this is a probability question)
Answers
Answer:
Step-by-step explanation:
13!/4(13-4)!
13!/4(9)!
Continue simplifying.
The formula for combinations n!/r!(n-r)! pay attention to class next time
"715" are the different selections she can make.
Given:
Number of different begs,
4Total number of varieties,
13So,
Total number of different selection = ¹³C₄
= [tex]\frac{13!}{4!\times (13-4)!}[/tex]
= [tex]\frac{13!}{(4!\times 9!)}[/tex]
= [tex]\frac{13\times 12\times 11\times 10}{4\times 3\times 2}[/tex]
= [tex]\frac{17160}{24}[/tex]
= [tex]715[/tex]
Thus the above answer is correct.
Learn more:
https://brainly.com/question/21125879
Pls help i dont understand :( will give Brainliest + 25 Points
Answers
Answer:
D
Step-by-step explanation:
Find the slope using the formula [ y2-y1/x2-x1 ]
2-2/-5-3
0/-8
0
Find the y-intercept using slope-intercept form [ y = mx + b ] and (3, 2)
y = 0x + b
2 = 0(3) + b
2 = b
Put everything we know into the final form.
y = 0x + 2
y = 2
Best of Luck!
change in y/change in x
y2-y1/x2-x1
2-2/-5-3
0/-8 = 0
The slope is 0 - the answer is d
because when 0x = 0, then you are left with y and only y
when the equation is x=, then the equation is undefined
but, when an equation is y=, that the slope is 0
Help ASAP, easy 15 points and a brainly for the first one to answer .
Answers
Answer:
It slopes downward from left to right. You can see the downward slope of that gender, which starts at the left and moves to the right.
Step-by-step explanation:
Martha drove 281.4 miles in 4.2 hours. How fast was she driving?
Answers
Answer:
I think your answer would be 67 mph
Step-by-step explanation:
281.4 / 4.2 = 67
Formula for speed:
d / t = s
Solve –8y + 3 > –5.
A. {y | y < –1}
A. {y | y < –1}
B. {y | y > 1}
B. {y | y > 1}
C. {y | y > –1}
C. {y | y > –1}
D. {y | y < 1}
Answers
Answer:
.
Step-by-step explanation:
Tanya has 144 chairs that she needs to
arrange in a square. Which expression would tal
Tanya the number of chairs she needs in each
row?
Answers
Answer:
12 by 12
Step-by-step explanation:
12x12=144 which equals a square
please help and answer properly
Answers
Answer:
6. Ethan should shade the region marked B
7. No, point (0, 4) will not be included in the solution set
8. Point (0, -2) will not be included in the solution set
Step-by-step explanation:
Let us explain how to solve the question
The graph represents the equation 2x - 5y = 10
The inequality is 2x - 5y > 10
The sign of inequality is greater than without equal, that means the line represents it must be a dotted line because all the points on the line do not belong to the solution set of the inequality.
To find the area of the solution you must put y on a side and the other term on the other side
∵ 2x - 5y > 10
→ Add 5y to both sides to move y in the other side
∴ 2x - 5y + 5y > 10 + 5y
∴ 2x > 10 + 5y
→ Subtract 10 from both sides to move 10 to the other side
∵ 2x - 10 > 10 - 10 + 5y
∴ 2x - 10 > 5y
→ That means 5y < 2x - 10
∴ 5y < 2x - 10
6.
→ y < that means the area of the solutions is under the line
∴ The solutions of the inequality lie in area B
∴ Ethan should shade the region marked B
7.
∵ Point (0, 4) lies above the line in the region marked A
→ That means it does not lie in the area of the solutions
∴ Point (0, 4) will not be included in the solution set
8.
∵ Point (0, -2) lies on the line
∵ All the point on the line did not belong to the solution set as we
said before
∴ Point (0, -2) will not be included in the solution set
12(8 – 5) idk to anwsher plz hefp
Answers
Answer:
36
Step-by-step explanation:
12(8-5)
12 * 3
36
Answer:
36
Step-by-step explanation:
(8-5) =3 then u do
12x3=36
Use slope formula, m= y2, - y1 over X2-X1 to find the slope of a line that passes through the points (-3, 8) and (4.-6).
m=
use the slope-intercept form, y=mx+b to find the y-intercept (b) of the line
b=
what is the new equation written in slope-intercept form y=mx+b
Answers
Answer:
m= -2
b= 2
y= -2x + 2
Step-by-step explanation:
Just did it
The slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Given that the line that passes through the points (-3, 8) and (4.-6).
Let
x₁ = -3, y₁ = 8
x₂ = 4, y₂ = -6
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in the formula
m = (-6 - 8)/(4 -(-3))
m = (-14)/7
m = -2
y - 8 = m(x - (-3))
y - 8 = -2(x + 3)
y = -2x -6 + 8
y = -2x + 2
Since the slope-intercept form, y = mx+b
So the y-intercept (b) of the line,
b = 2
Thus, the slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
answer this question JUST FOR POINTS this is not a real question (2+2)
Answers
Answer:
4 I think I could be wrong hahaha
Thanks for the points :)
Is the function even, odd, or neither?
Answers
Answer:
The function is neither even or odd
Step-by-step explanation:
A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy(average miles per gallon (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles.
Which of the following most closely describes the method of data collection used?
a. Anecdote
b. Controlled experiment
c. Observational study
Answers
Answer:
Controlled experiment
The method of data collection used by the federal government agency is controlled experiment.
What is Controlled Experiment?
A controlled experiment can be defined as an experiment under which an independent variable is constantly manipulated in order to evaluate its effects on other dependent variables.
The experiment conducted on 750 vehicles by federal government agency to determine the relationship between weight of the vehicle and its fuel economy is a controlled experiment since the effects of weight of vehicles is observed on their fuel economy, other things remaining constant.
The fuel economy changes with the change in weight of the vehicle. The vehicle weight therefore affects the fuel economy or average MPG of the vehicle.
Therefore the method of data collection used is controlled experiment.
Learn more about controlled experiment here:
https://brainly.com/question/4444046
I need help fast
help me please
Answers
Answer:
f(2) = -5
Step-by-step explanation:
f(2) means that x = 2.
We are trying to find the y-value when x = 2.
When x = 2, we see from the graph that our y-values is equal to -5.
Therefore, f(2) = -5
The Gators football team gained 4 yards on its first play, but lost 9 yards on the
second play. Which of the following best represents the result of these two
plays?
Answers
Answer:
-5 yards
Step-by-step explanation:
4 - 9
= -5
in that two plays:
loss 5 yards
Solve using equivalent ratios.
Leila and Joe are two partners in a business. Leila makes $5 in profits for every $9 that
Jo makes. If Jo makes $36 profit on the first item they sell, how much profit does Leila
make?
Answers
Answer:
$20
Step-by-step explanation:
Leila to Jo: $5/$9
Leila to Jo: x/$36
5/9 = x/36
Cross multiply.
9x = 5 * 36
Divide both sides of the equation by 9.
x = 5 * 4
x = 20
Answer: $20
which ordered pairs are solutions to the inequality y-3x<-4
(5,1)
(4,-2)
(-3,0)
(1,-1)
(0,-3)
Answers
Answer:
(5,1) (4,2)
Step-by-step explanation:
Gus has a lunch food budget of $190 per month. He spends an average of $5 per day on lunch. Which of the following equations represents how much money is left in his lunch budget after x days of buying lunch?
A.
y = 5x - 190
B.
y = 190 - 5x
C.
y = 190x - 5
D.
y = 190 + 5x
Answers
Answer:
The answer is C.
Step-by-step explanation:
Each day (x) he loses 5 dollars from his total of 190. And C shows that because 190 - 5 x. 190 is his total, 5 is dollars lost a day, and x is days
Gender plays an important role in the six components of health.
Please select the best answer from the choices provided.
The ANSWER IS
T
I know because I just took the test
Answers
Answer:
sorry I didn't understand the answer t what is the answer t can u elaborated
Answer:
false
Step-by-step explanation:
its right
what is the value of xy/w if x=-3, y=4 and w= -6. A. 2 B. -2 C. 1/2 D. -1/2
Answers
Answer:
A. 2Step-by-step explanation:
Put x = -3, y = 4 and w = -6 to the expression xy/w = (xy) : w
(-3 · 4) : (-6) = -12 : (-6) = 2
find each sum.
1)-9+(-2)
2)3.2+1.4
3)5.1+(0.7)
4)2.2+(-3.8)
Answers
Answer:
1. 18
2. 0.36
3. 3. 57
4. -7. 36
Please help solve one of them
Answers
Answer: im not sure
Step-by-step explanation:
The problem is:Manny drove 45 miles in 0.75 hours.What was the average rate that he drove in miles per hour?
Answers
Answer:
60mph
Step-by-step explanation:
Answer:
Manny drove 45 miles in 0.75 hours.What was the average rate that he drove in miles per hour?
60 mph
Step-by-step explanation:
Y+5<3 inequality solution
Answers
Answer:
y=2
Step-by-step explanation:
y + 5 < 3
- 5 -5
y = 2
.................................
Mary drives for Uber. Uber charges a $3 flat rate plus $0.30 per mile driven.
What is the CONSTANT here? *
(1 Point)
$3
Uber
$0.30
$3.30
Answers
Answer:
$3.00 is the constant
Step-by-step explanation:
let x be the mile driven then
total charge=$3.00+[x($0.30)]
التاريخ / /
اليوم
موضوع الدرس
و(
is 82
room )
what is
ده by
و به
the
area
0
the
room?can I translate in English
Answers
A1 plumbing service charges $35 per hour plus a $25 travel charge for a service call. Good guys plumbing repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?
Answers
Answer: 5 hours
Step-by-step explanation: the equation is
35x + 25 = 40x just solve it to get 5
help plz explain how to use discributive property
Answers
1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.
2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.
3.Multiply every term in the equation by the LCM.
4.Isolate variables adding or subtracting like terms on both sides of the equals sign.
5.Combine like terms.
6.Solve the equation and simplify, if needed.
A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the same number of students from each grade level on each team. If all students participate, what is the largest possible number of teams and how many students will there be on each team?
Answers
Answer:
There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders
Step-by-step explanation:
126 third-graders
180 fourth-graders
198 fifth-graders
Find the highest common factor of 126, 180, 198
Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.
Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.
The highest common factor of 126, 180, 198 is 9
The largest possible number of teams that can be formed is 9
Each team has
third-graders = 126 / 9
= 14
Fourth-graders = 180 / 9
= 20
Fifth-graders = 198 divided by 9
= 22
There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders