Mira pours some juice from jug A to an empty jug B. The volume of juice in jug B becomes 5 times of that in jug A. Then Adam pours some juice from jug B into glass C. The volume of juice in glass C is 3 times of that in jug B now. If glass C has 500 ml of juice more than jug B, what is the initial volume of juice in jug A?
Answers
The initial volume of juice in jug A is 50ml.
Allegation allows us to determine the ratio in which the ingredients/items have been mixed and at what price they are sole to generate profit or face loss. A mixture, as the name suggests, is mixing two or more things together.
Given that Mira pours some juice from jug A to an empty jug B. Juice in jug B has a volume that is five times more than juice in jug A. Adam then adds some juice to glass C from jug B. Juice in glass C is now three times as large as juice in jug B.
We have to determine the initial volume of juice in jug A
Let us consider the juice in jar A = x
The volume of juice in jug B becomes 5 times of that in jug A
B = 5A -----(1)
The volume of juice in glass C is 3 times of that in jug B now.
C = 3B ------(2)
If glass C has 500 ml of juice more than jug B.
C = 500 + B
3B = 500 + B
2B = 500
B = 250
The volume of juice in jar B is 250ml
Now substitute B value in (2)
C = 3 x 250
C = 750
The volume of juice in jar is 750 ml
Now substitute B value in (1)
B =5A
250 = 5A
A = 250/5
A =50
The volume of juice in jar A is 50ml
Therefore the initial volume of juice in jug A is 50ml.
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Related Questions
Translate the word phrase into a math expression.
12 meters longer than his throw.
t−12
t ÷ 12
t + 12
12 × t
answer right and get brainliest
Answers
Answer:
t+12
Step-by-step explanation:
brainliest por favor ❤❤
Answer:
t+12
Step-by-step explanation:
12 meters longer means that you're adding meters onto the throw. Hope that helps :)
Translate the following into a verbal expression 3(4-x)+7
Answers
Answer:
3 times 4 minus a number, plus 7
3(4 - x) + 7
A 13 km stretch of road needs repairs. Workers can repair 3 1/2km of road per week.
How many weeks will it take to repair this stretch of road?
Answers
The workers would need 3.71 weeks to repair the road.
A generalization of arithmetic in which letters representing numbers are combined using arithmetic rules
Given that the total length of the road is 13km. Workers can repair 3.50 roads per week.
To determine the number of weeks required to repair the road, divide the total by per week. The equation would be:
13 ÷ 3.5
= (13 x 10)/35
= 130/ 35
= 3.71
Therefore the workers would need 3.71 weeks to repair the road.
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q2: through data collection, you observe over the past 100 days, your web hosting provider has been up and running 99% of the time. the average (mean) time for repair is 12 hours. q2.1: what is the availability of your hosting service for this period of time?
Answers
The availability of the web hosting service over the past 100 days is 99.5%.
What is the availability of web hosting?The term availability means the degree to which a system like web hosting is in specified operable and committable state at the start of a mission.
We will find the downtime first.
Given that:
Hosting provider has been up 99% of the time, the downtime is:
= 100 days x (1 - 0.99)
= 1 day
The total time that the service should have been available is:
= 100 days x 24 hours/day
= 2400 hours
The availability as the ratio of uptime to total time is
= (2400 - 12) / 2400 x 100%
= 0.995 x 100%
= 99.5%.
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what is n in 6/2 = 21/n
Answers
Answer:
n = 7
Step-by-step explanation:
D( n )
n = 0
n = 0
n = 0
n in (-oo:0) U (0:+oo)
6/2 = 21/n // - 21/n
6/2-(21/n) = 0
6/2-21*n^-1 = 0
-21*n^-1 = -3 // : -21
n^-1 = 1/7
-1 < 0
1/(n^1) = 1/7 // * n^1
1 = 1/7*n^1 // : 1/7
7 = n^1
n = 7
n = 7
You can use proportions so 2 x 21 = 42 and divided by 6 = 7
A fruit seller has 3 crates of apples. Each crate has 100 apples. If he packed 6 apples in 1 box. Which of these gives the number of such boxes needed to pack all the apples.
100 x 6
300x6
100 divided by 6
300 divided by 6
Answers
Answer:
300 divided by 6
Step-by-step explanation:
Given that;
Number of crates of apple owned by fruit seller = 3 crates
Number of apples in each crate = 100 apples
He packed 6 apples in 1 box;
Unknown:
Number of boxes needed to pack all the apples = ?
This problem is pretty straight forward;
Number boxes needed to pack all apples = \(\frac{Number of crates owned by fruit seller x number of apples per crate}{Number of apples per box}\)
Input the parameters and solve;
Number of boxes need to pack all apples = \(\frac{100 x 3}{6}\) = \(\frac{300}{6}\)
So the solution is 300 divided by 6
Determine if the following numbers are rational or irrational.
1. √25
2.4.31
3.-2/2
4. √18
5.7
6. Pi
7.√50
8.-5
9. 1/3
10. 0
Answers
Answer:check explanation
Step-by-step explanation:1. √25 is a rational number because it is equal to 5, which is a rational number.
2. 4.31 is a rational number because it can be expressed as the ratio of two integers (431/100).
3. -2/2 is a rational number because it can be simplified to -1, which is a rational number.
4. √18 is an irrational number because it cannot be expressed as the ratio of two integers. It is approximately equal to 4.242640687119285.
5. 7 is a rational number because it can be expressed as the ratio of two integers (7/1).
6. Pi is an irrational number because it cannot be expressed as the ratio of two integers or as a terminating or repeating decimal. It is approximately equal to 3.141592653589793.
7. √50 is an irrational number because it cannot be expressed as the ratio of two integers. It is equal to √(25*2) which simplifies to 5√2.
8. -5 is a rational number because it can be expressed as the ratio of two integers (-5/1).
9. 1/3 is a rational number because it can be expressed as the ratio of two integers (1/3 = 0.33333...).
10. 0 is a rational number because it can be expressed as the ratio of two integers (0/1).
The pressure at sea level is 111 atmosphere and increases at a constant rate as depth increases. when sydney dives to a depth of 232323 meters, the pressure around her is 3.33.33, point, 3 atmospheres. the pressure ppp in atmospheres is a function of xxx, the depth in meters. write the function's formula.
Answers
To the given problem the mathematical function formula determined is f(x) =0.1x+1.
What is a mathematical function?
A mathematical function is a procedure that determines the value of an dependent variable in relation to one or perhaps more independent variables whose values are given. There are several ways to depict a function, including a table, an equation, or a graph.We are informed that the pressure at sea level is 1 atmosphere, and that it rises steadily with depth.Two points are given to us as (0,1) and (23,3.3). We shall identify the line that goes across these places in order to get the function's formula.
First we need to determine the slope represented as “m”:
m= (3.3-1)/(23-0)= 2.3/23
m= 0.1
Converting in slope intercept form:
Y= mX+B
1=0.1(0)+ B
B=1
Equation deduced is : Y=0.1X+1
Writing in as mathematical function :
f(x)= 0.1x+1
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Newton's First Law - Worksheet
Focus Question: Does the speed of a car affect its stopping distance
Background Information Speed mit signs are posted on nearly every road.
Speed limits vary by location and are based on different factors, such as curvature
of the road, school rones, and how heavily populated an area is. Generally,
speed limits are higher on highways and lower in areas where people live.
Speed limits keep people safe because they keep cars from going too fast. The
faster a car is traveling, the longer it will take the car to stop. In areas where a
child might chase a ball into the road or someone may cross the street, it is important that a driver can
Pop very quickly if they are traveling over the speed limit, the driver will be much less likely to be
able to dop the car in an emergency. So, speed limits help limit driver speeds, which in turn helps
limit the time it takes to stop a moving car.
Today, you will be discovering how the speed of a car affects its stopping distance. Stopping distance
is the distance that a car continues to travel after the driver has applied the brakes.
Speed
(mph)
15
Graphing: The speeds listed in the data table below represent how fast an average car is travelling on
a straight, dry road. The Total Stopping Distance is the distance that a car would take to
come to a complete stop after a driver sees something in the road and stops the car. On
the back of this page, graph the data shown.
20
25
30
35
40
45
50
55
Total Stopping
Distance (feet)
26
40
56
74
96
119
145
174
205
SPEED
LIMIT
Speed
(mph)
60
65
70
75
80
85
90
95
100
55
239
275
314
Total Stopping
Distance (feet)
355
398
445
493
544
598
CFlying Colors Science
Answers
It can be seen that the car's stopping distance depends upon the initial speed.
Yes the speed of the car affects its stopping distance when the brakes are applied. Assume the initial velocity to be 'u' and after deaccelerating at 'a' m/s², the car stops after distance 'S'. Now, we can write that -
S = ut + 1/2 at²
We can also write -
v = u + at
t = (v - u)/a
t = - u/a {final velocity is zero}
Then, we can write that -
S = u x (-u/a) + 1/2 a(- u/a)²
S = u x (-u/a) + 1/2 x a x u²/a²
S = - u²/a + u²/2a
S = u²/a(1/2 - u)
So, it can be seen that the car's stopping distance depends upon the initial speed.
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? Question
Using the single taxable income tax brackets for 2018, select the appropriate marginal tax rate for each individual.
Select the correct rates in the table.
Individual
teacher, taxable income $40,259
pediatrician, taxable income $194,680
mathematician, taxable income $93,810
registered nurse, taxable income $55,350
Question 2
Tax Bracket
10% 12%
22%
32%
37%
35%
32% 24% 22%
22%
24% 32%
Answers
The appropriate marginal tax rates for each individual based on their taxable income are: Teacher - 12%, Pediatrician - 35%, Mathematician - 24%, Registered Nurse - 22%.
1: Using the single taxable income tax brackets for 2018, select the appropriate marginal tax rate for each individual. Select the correct rates in the table. Individual Taxable Income Marginal Tax Rate Teacher $40,259 12% Pediatrician $194,680 35% Mathematician $93,810 24% Registered Nurse $55,350 22%
2: Tax Bracket 10% 12% 22% 24% 32% 35% 37% The given table shows the marginal tax rates for single taxable income tax brackets in the year 2018. The marginal tax rate refers to the tax rate that applies to the next additional dollar of income. It is essential to know the marginal tax rate for the calculation of the tax bill. Now, we have to select the appropriate marginal tax rate for each individual.
Teacher -Taxable Income = $40,259. The appropriate marginal tax rate for the teacher is 12%. The income of the teacher falls in the taxable income bracket of $38,701 to $82,500, and the marginal tax rate is 12%.
Pediatrician - Taxable Income = $194,680. The appropriate marginal tax rate for the pediatrician is 35%. The income of the pediatrician falls in the taxable income bracket of $157,501 to $200,000, and the marginal tax rate is 35%.
Mathematician - Taxable Income = $93,810. The appropriate marginal tax rate for the mathematician is 24%. The income of the mathematician falls in the taxable income bracket of $82,501 to $157,500, and the marginal tax rate is 24%.
Registered Nurse - Taxable Income = $55,350. The appropriate marginal tax rate for the registered nurse is 22%. The income of the registered nurse falls in the taxable income bracket of $38,701 to $82,500, and the marginal tax rate is 22%.
Thus, the appropriate marginal tax rate for each individual is as follows: Individual Taxable Income Marginal Tax Rate Teacher $40,259 12% Pediatrician $194,680 35% Mathematician $93,810 24% Registered Nurse $55,350 22%In summary, the marginal tax rate refers to the tax rate that applies to the next additional dollar of income. It is essential to know the marginal tax rate for the calculation of the tax bill. The appropriate marginal tax rate for each individual depends on their taxable income and taxable income bracket. The given table shows the marginal tax rates for single taxable income tax brackets in the year 2018.
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Find ∂x∂f and ∂y∂f for the following function. f(x,y)=x7−8xy−5y2 ∂x∂f=
Answers
Given that the function is f(x,y)=x7−8xy−5y2To find the partial derivative ∂x∂f and ∂y∂f for the function f(x, y), differentiate f(x, y) partially with respect to x and y.
∂x∂f=∂f/∂x=7x⁶-8y
Similarly, we have to find
∂y∂f∂y∂f=∂f/∂y=-8x-10y
Thus, the ∂x∂f is 7x⁶-8y and
∂y∂f is -8x-10y.
Hence, the answer is :
∂x∂f=7x⁶-8y and
∂y∂f= -8x-10y
Partial differentiation of f(x, y) with respect to
x= ∂f/∂x=x^7-8xy-5y^2
Differentiating with respect to
x, we get:
∂f/∂x=7x^6-8y
Hence, ∂x∂f=7x^6-8y
Similarly, partial differentiation of f(x, y) with respect to
y= ∂f/∂y=x^7-8xy-5y^2
Differentiating with respect to y, we get:
∂f/∂y=-8x-10y
Hence, ∂y∂f=-8x-10y
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329,444,000,777,234 in words
Answers
Step-by-step explanation:
Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four
Answer:
Look at the attachment
GIVING 11 POINTS PLEASE HELP ME
Answers
Answer:
6 packets
Step-by-step explanation:
3 x 8 = 24
24 / 4 =
6
24 divided by 4 = 6 packets
Which of the following is one of Pryor's 10 Laws of shaping?
A. Measure behavior using trial by trial data
B. Use food reinforcers to change behavior
C. Always conduct a preference assessment
D. Train one behavior at a time
D. Train one behavior at a time
Answers
One of Pryor's 10 Laws of shaping is D. Train one behavior at a time is one of Pryor's 10 Laws of shaping. This law emphasizes the importance of focusing on one behavior at a time when shaping behavior.
By doing so, the trainer can avoid confusing the animal and can more effectively reinforce the desired behavior. This law also helps the trainer to break down complex behaviors into smaller, more manageable parts, which can then be shaped individually.
According to Karen Pryor's 10 Laws of Shaping, one of the key principles is to train one behavior at a time. This is important because it helps the learner to focus on mastering a specific behavior without getting overwhelmed or confused by multiple tasks.
By concentrating on one behavior at a time, the trainer can provide clear, consistent reinforcement and feedback, which increases the likelihood of successfully shaping the desired behavior.
Overall, following this law can lead to more successful shaping and training outcomes.
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Among the provided options, Pryor's 10 Laws of Shaping suggests training one behavior at a time. This technique avoids confusion and ensures reliable behavior is established before moving to the next behavior.
Explanation:According to Pryor's 10 Laws of Shaping, among the given options, the correct answer is: Train one behavior at a time. This rule focuses on the fact that trying to shape multiple behaviors simultaneously can often lead to confusion for the individual or animal being trained. Instead, it's more effective to focus on one behavior at a time, reinforcing each successful approximation towards the target behavior before moving on to the next. The goal is to build a strong, reliable behavior before adding complexity or new behaviors.
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Can anyone explain what the last part is about describing the translation!
Answers
Answer:
the pictures is not clear
Given the following: A B C .
Find the value of 3 – 2
Answers
The value of 3 - 2 is 1.
To find the value of the expression 3 - 2, we can follow the basic principles of arithmetic.
The expression 3 - 2 represents the subtraction of the number 2 from the number 3. Subtraction is an arithmetic operation that involves finding the difference between two numbers.
Starting with the number 3, we subtract 2. When we subtract 2 from 3, we are essentially removing 2 units from the original quantity.
To visualize this, we can imagine having 3 objects and taking away 2 of them. We would be left with only 1 object. Thus, the value of 3 - 2 is 1.
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if y(x)=4x what is x when y(x)=4?
Answers
Answer:
1
Step-by-step explanation:
y(x)=4x
y(x)=4
<=>4x=4
<=>x=1
(q18) Determine c such that f(c) is the average value of the function
on the interval [0, 2].
![(q18) Determine c such that f(c) is the average value of the function on the interval [0, 2].](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/GsCtSOK5cY6dQgFDm1k4lzVNq35fjude.png)
Answers
The correct option is for the value of c, such that f(c) is the average value of the function on the interval [0, 2], is D.
How to find the value of c?The average value of a function on an interval [a, b] is given by:
R = (f(b) - f(a))/(b - a)
Here the interval is [0, 2], then:
f(2) = √(2 + 2) = 2
f(0) = √(0 + 2) = √2
Then here we need to solve the equation:
√(c + 2) = (f(2) - f(0))/(2 - 0)
√(c + 2) = (2 + √2)/2
Solving this for c, we will get:
c = [ (2 + √2)/2]² - 2
c = 0.9
Them tjhe correct option is D.
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two professors at a nearby university want to coauthor a new textbook in either economics or statistics. they feel that if they write an economics book, they have a 50 percent chance of placing it with a major publisher, and it should ultimately sell about 40,000 copies. if they cannot get a major publisher to take it, then they feel they have an 80 percent chance of placing it with a smaller publisher, with ultimate sales of 30,000 copies. on the other hand, if they write a statistics book, they feel they have a 40 percent chance of placing it with a major publisher, and it should result in ultimate sales of about 50,000 copies. if they cannot get a major publisher to take it, they feel they have a 50 percent chance of placing it with a smaller publisher, with ultimate sales of 35,000 copies. what is the probability that the economics book would wind up being placed with a smaller publisher?
Answers
The probability that the economics book would wind up being placed with a smaller publisher is 0.5*0.8=0.4 or 40%.
The problem requires calculating the conditional probability of the economics book being placed with a smaller publisher, given that a major publisher does not take it. The total probability of getting a publisher for the economics book is the sum of the probabilities of it being placed with a major publisher or a smaller publisher, which is 0.5+0.5*0.8=0.9. The probability of not getting a major publisher is 1-0.5=0.5. Therefore, the conditional probability of the economics book being placed with a smaller publisher, given that a major publisher does not take it, is the product of the probability of it being placed with a smaller publisher given no major publisher, which is 0.8, and the probability of not getting a major publisher, which is 0.5. Thus, the answer is 0.8*0.5=0.4 or 40%.
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Please help me with this problem!
Answers
Arrange the four numbers shown from least to greatest 5, 3.0, 250%, -15/4
Answers
Answer:
-15/4, 250%, 3.0, 5
Step-by-step explanation:
When you attempt to solve a system of equations What does it mean in regards to the solution if you get a statement like 2 =- 2?
Answers
There is no solution to the system. This means that the equation 2 = -2 in the system is inconsistent.
What is a system of equations?
A system of equations is a collection of two or more equations that are solved simultaneously. Each equation in the system represents a constraint or condition that must be satisfied, and a solution to the system is a set of values that satisfies all of the equations in the system simultaneously.
If you attempt to solve a system of equations and you get a statement like 2 = -2, it means that the equations in the system are inconsistent. An inconsistent system of equations has no solution because there is no set of values that can simultaneously satisfy all of the equations.
Hence, as these equations are contradictory, there is no solution to the system. This means that the equations in the system are inconsistent.
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X/3 = 12
I got the answer 36
But it keeps saying it’s wrong?!??!
Answers
Answer:
but it is correct
Step-by-step explanation:
please mark me as brainliest
What numbers correctly complete each equation?
All squares have the same value
Answers
the first one is 5.25 . you have to divide 10.5 by 2 and you'll get 5.25 and when you add 5.25 twice you'll get 10.5 which is the same as 10.50
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect? y2 + x2 = 100 g(x) graph of the function y squared plus x squared equals 100 x g(x) −1 −22 0 −20 1 −18
Yes, at positive x coordinates
Yes, at negative x coordinates
Yes, at negative and positive x coordinates
No, they will not intersect
Answers
Answer:
Yes, at positive x coordinates
Step-by-step explanation:
Find the equation of g(x)
Given ordered pairs of g(x): (-1, -22) (0, -20) (1, -18)
\(\sf let\:(x_1,y_1)=(0,-20)\)
\(\sf let\:(x_2,y_2)=(1,-18)\)
\(\sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-18-(-20)}{1-0}=2\)
Point-slope form of linear function: \(\sf y-y_1=m(x-x_1)\)
\(\implies \sf y-(-20)=2(x-0)\)
\(\implies \sf y=2x-20\)
Substitute the equation of g(x) into the equation of the circle and solve for x
Given equation: \(y^2+x^2=100\)
\(\implies (2x-20)^2+x^2=100\)
\(\implies 4x^2-80x+400+x^2=100\)
\(\implies 5x^2-80x+300=0\)
\(\implies x^2-16x+60=0\)
\(\implies x^2-10x-6x+60=0\)
\(\implies x(x-10)-6(x-10)=0\)
\(\implies (x-6)(x-10)=0\)
Therefore:
\((x-6)=0 \implies x=6\)
\((x-10)=0 \implies x=10\)
So the linear function g(x) will intersect the equation of the circle at positive x coordinates.
Help me out here? I dunno the answer
Answers
A=1/2 bh
A=1/2 5(6)
Let A and B be events with P(A) 0.3 and P(AUB) 0.7. a. For what value of P(B) will A and B be mutually exclusive? b. For what value of P(B) will A and B be W1 independent?
Answers
The value of P(B) when A and B are mutually exclusive is 0.4 and when A and B are independent is zero.
Mutually exclusive events are those events which do not occur at the same time. For a mutually exclusive event we have the formula,
P(A∪B) = P(A) + P(B) - P(A∩B)
Here P(A∩B) is equal to zero and P(A) = 0.3 and P(A∪B) = 0.7
Now when we substitute the values we get
0.7 = 0.3 + P(B)
=> P(B) = 0.7 - 0.3
=> P(B) = 0.4
Now, if the events are independent then we have the formula
P(A∩B) = P(A)×P(B)
Since we already know that P(A∩B) = 0 then
0 = 0.3×P(B)
=> P(B) = 0 which means that the event will not take place.
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There are 7 days in a week.
Let x represent the number of weeks and y represent the corresponding number of days.
Complete the table using the equation y=7x.
x y
5
6
7 49
8
Answers
Answer:
Step-by-step explanation:
The equation is y=7x
x y Calculation
5 35 y=7x, y=7*5, y=35
6 42 y=7x, y=7*6, y=42
7 49 y=7x, y=7*7, y=49
8 56 y=7x, y=7*8, y=56
bakit ang bababoy ninyo
Answers
From professional translators, enterprises, web pages and freely available translation repositories
Find the measures of the labeled angles.
2x=
(81-x)= 1
Answers
Answer:
x = 27°Step-by-step explanation:
Given,
2x = 81 - x [Vertically opposite angles]
=> 2x + x = 81
=> 3x = 81
=> x = 81 ÷ 3
=> x = 27 (Ans)