At a local car wash Josh can vacuum 3 cars in 17 minutes. How many cars can he vacuum in an hour?
Answers
Answer:
10 cars
Step-by-step explanation:
he can vacuum 3 cars in 17 minutes
so in 1 hour its (60/17) x 3
Or you can do 17/3 for how long it takes to clean 1 car
then divide 60 by that number, you round down for both since you don't complete the car if its a decimal
60/17 = 3.5
3.5 x 3 = 10.5
Related Questions
One gallon of paint covers 50 square feet. A wall that measures 32 feet by 16 feet is going to be painted.
Area of Wall:
How many gallons of paint will it take?
If paint costs $27 per gallon, how much money will it take to paint the wall?
Answers
Answer:
10.24 gallons
$276.48
Step-by-step explanation:
The area of the wall can be calculated by multiplying the length and height of the wall:
Area of wall = length x height = 32 x 16 = 512 square feet
To calculate the number of gallons of paint needed, we need to divide the area of the wall by the coverage of one gallon of paint:
Number of gallons of paint = Area of wall / Coverage of one gallon of paint
Number of gallons of paint = 512 / 50
Number of gallons of paint = 10.24
Therefore, it will take approximately 10.24 gallons of paint to paint the wall.
To calculate the cost of the paint, we need to multiply the number of gallons of paint by the cost per gallon:
Cost of paint = Number of gallons of paint x Cost per gallon
Cost of paint = 10.24 x $27
Cost of paint = $276.48
Therefore, it will cost $276.48 to paint the wall.
A 2-column table with 9 rows. The first column is labeled x with entries negative 8, negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries negative 16, negative 8, 0, 8, 16, 32, 64, 128. Which could be the entire interval over which the function, f(x), is negative? (–8, –2) (–8, 0) (–[infinity], –6) (–[infinity], –4).
Answers
The entire interval over which the function f(x) is negative could be (-8, 0).
In the given table, we can observe that as x increases from -8 to 0, the corresponding values of f(x) decrease from -16 to 0. This indicates that the function f(x) is negative in this interval.
Looking at the other intervals, we can see that as x decreases from -8 to -2, the values of f(x) also decrease, but they are positive. Similarly, for x values greater than 0, the values of f(x) are positive.
Therefore, the only interval where all the values of f(x) are negative is (-8, 0). Within this interval, the function f(x) takes on negative values for each x value
It's worth noting that we can't determine if the function is negative for values less than -8 or after 0, as the table does not provide data for those intervals. However, based on the given data, the interval (-8, 0) is the only interval where f(x) is negative.
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Which expression equivalent to 6+12 X
Answers
Answer:
12x+6
x(12)+3
Please answer this question now
Answers
Answer:
m∠C = 102°
Step-by-step explanation:
This is a quadrilateral inscribed in a circle
The sum of opposite angles in a cyclic quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
We know what m∠B
We have external angles outside the circle.
m∠CDA is opposite m∠B
m∠CDA = 2 × m∠B
m∠CDA = 2 × 100°
m∠CDA = 200°
m∠CDA is the sum of m∠CD and m∠DA
m∠CDA = m∠CD + m∠DA
m∠DA = m∠CDA - m∠CD
m∠DA = 200° - 116°
m∠DA = 84°
m∠DAB is an exterior angle also, hence,
m∠DAB is the sum of m∠DA and m∠AB
m∠DAB = m∠DA + m∠AB
m∠DAB = 84° + 120°
m∠DAB = 204°
Finally we can solve for m∠C
m∠DAB is Opposite m∠C
So, m∠C = 1/2 × m∠DAB
m∠C = 1/2 × 204
m∠C = 102°
Add
(2x^2 - 2x) + (6x - 4)
Answers
Answer:
2x^2 +4x -4
Step-by-step explanation:
(2x^2 - 2x) + (6x - 4)
Combine like terms
2x^2 +6x-2x -4
2x^2 +4x -4
Calculate the area of the shape below
7.6 cm
11 cm
Answers
Answer:
7.6 x 11 = 83.6
Ignore decimal points, multiply normally.
THEN consider the numbers after the decimal point, count them then place the decimal point in your final answer from the left to the right of the many times the numbers are after the decimal point.
how many different ways could i choose three shirts to pack for a weekend trip, if i have 12 shirts to choose from? assume the shirts are selected without replacement.a. 12! / 3!b. 12! / 9!c. 12! / 8! 4!d. 12! / 9! 3!
Answers
Answer:
A
Step-by-step explanation:
According to the given question.
Total number of shirts, n = 12
Number of shirts to be selected, r = 3
As we know, the total number of ways of selection of r objects from n objects at a time without replacement is given by
C(n, r) = n!/r!(n - r)!
Fifty two is the sum of six and the product of a number and two. What is the number?
Answers
because 23x2=46 and 46+6=52
please help me i really need it
Answers
Answer:
Step-by-step explanation:
From the given information, we know that 14 boys chose German and 10 boys chose French. However, we don't have data on the number of girls choosing German or French.
Let's assume x girls chose German and y girls chose French.
Therefore, the completed two-way table would look like this:
French German Total
-----------------------------------
Boys 10 14 24
Girls y x x+y
Total 10+x 14+y 50
As for calculating the probability of picking a boy who chose German, we can use the formula:
P(Boy and German) = Number of boys who chose German / Total number of students
= 14 / 50
= 0.28 or 28%
Please note that without information about the number of girls choosing German or French, we cannot determine the specific values for boys and girls in each category.
A square and a regular hexagon have sides of the same length. the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon. what is x, the length of a side of the hexagon or square?
Answers
The length of a side of the hexagon or square is - 16 units
A square has four equal sides and four equal angles. The angles of squares are at right angles or 90°.If all six sides are equal, then it is called a regular hexagon. The perimeter of the regular hexagon is defined as the sum of all the sides of a hexagon.The length of a side of the hexagon or square = x
The perimeter of the square = 4 × lengths of its side
= 4x
The perimeter of the hexagon = 6 × lengths of its side
= 6x
According to the question,
4x + 32 = 6x
⇒ 6x - 4x = 32
⇒ 2x = 32
⇒ x = 16
So, the length of a side of the hexagon or square is - 16 units.
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Write as a polynomial - \dfrac{ 2 }{ 7 } { a }^{ 2 } { y }^{ 7 } \left( 5a { y }^{ 2 } - \dfrac{ 1 }{ 2 } { a }^{ 2 } y- \dfrac{ 5 }{ 6 } { a }^{ 3 } \right)
Answers
Answer:
\(\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}\)
Step-by-step explanation:
According to the statement, we have the algebraic equation\(\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)\) and we must to rewrite it as a polynomial. Since there are two variables: \(a\), \(y\), we must observe the following definition of polynomial:
\(p(a, y) = \Sigma\limits_{i = 0}^{n} c_{i}\cdot a^{i}\cdot y^{n-i}\) (1)
Where:
\(i\) - Index.
\(c_{i}\) - i-th Coefficient of the polynomial.
\(n\) - Grade of the polynomial.
By means of algebraic handling, we have the following result:
1) \(\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)\) Given
2) \(\left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(5\cdot a\cdot y^{2}\right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right) \cdot \left(-\frac{1}{2}\cdot a^{2}\cdot y \right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(-\frac{5}{6}\cdot a^{3}\right)\) Associative and distributive properties/\((-a)\cdot b = -a\cdot b\)
3) \(\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}\) Associative and commutative properties/\(\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}\)/\((-a)\cdot b = -a\cdot b\)/Definition of subtraction/\(\frac{a\cdot c}{b\cdot c} = \frac{a}{b}\)/Result
Malik buys and sells car parts. He bought two tires for $45.00 each and later sold them for $65.00 each. He bought three rims for $85.00 each and later sold them for $126.00 each. He bought five headlight covers for $5.00 each and later sold them for $15.00 each. What is Malik's total profit?
Answers
Answer: $75
Step-by-step explanation: First he bought tires for 45.00 dollars - later sold it as 65.0 dollars.
=> 65 - 45 = 20 dollars is his profit
he brought 3 rims for 85 dollar - then later sold it as 126 dollars
=> 126 - 85 = 41 dollars
He bought headlight for 5.00 dollars then sold it later for 15 dollars.
=> 15 - 5 = 10 dollars
Total expenses
=> 134
Total amount sold
=> 209
Profit => 209 - 134 = 75 dollars
The scale on a map is 2 cm equals 45 miles if two cities are 157.5 miles from one another how far apart are they on a map?
Answers
Answer:
7cm
Step-by-step explanation:
Given scale of the map;
2cm on map is 45 miles on land
A scale expresses the relationship between map distance and the true is distance;
2cm on map is 45 miles on land ; or ;
45miles on land is 2cm on the map
157.5miles on land will be \(\frac{157.5x2}{45}\) = 7cm
The distance on the map is 7cm
(5x-2)cm (3x+14) what is the length of the sides
Answers
Answer:
5xcm−2cm
Step-by-step explanation:
sry if im wrong
Given two terms from a geometric sequence, identify the first term and the common ratio: a10 = 1 and a12=1/25
Answers
Given:
a denotes first term and r denotes the common ratio.
\(a_{10}=1\colon a_{12}=\frac{1}{25}\)\(a_n=ar^{n-1}\)\(a_{10}=ar^{10-1}\)\(1=ar^9\ldots.\text{ (1) }\)\(a_{12}=ar^{12-1}\)\(\frac{1}{25}=ar^{11}\ldots.(2)\)Divide the equation (2) by (1)
\(\frac{\frac{1}{25}}{1}=\frac{ar^{11}}{ar^9}\)\(\frac{1}{25}=r^2\)\(r=\pm\frac{1}{5}\)\(\text{If r=}\frac{1}{5}\)\(1=a(\frac{1}{5})^9\)\(a=1953125\)\(\text{If r=-}\frac{1}{5}\)\(1=a(-\frac{1}{5})^9\)\(a=-1953125\)\(a=-1953125\text{ ; r = -}\frac{1}{5}\)\(a=1953125\text{ ; r = }\frac{1}{5}\)Q1-) Consider a manufacturing system with two machines. Suppose that when both ma- chines are available, one is in use and the other is on standby. The probability that a machine in use fails during a day is p. When it fails its repair may start only the next day if the single repair facility is available. It takes two days to repair a failed machine. We can use a Markov Chain model to describe the evolution of this system. Let Xn = (i, j), n ≥ 0 denote the states of the Markov chain, where i is the number of machines in working condition and j is the number of elapsed repair days of a machine at the repair facility at the beginning of the n'th day. The corresponding transition probability matrix is (2,0) (1,0) (1,1) (0,1) (2,0) [1-p P 0 0 (1,0) 0 0 1-p Р P= (1,1) 1-p 0 0 P (0,1) 0 1 0 0 For parts (a)-(c) do not assume a specific value for p, leave your answer in terms of p. (a) Given Xo = (1, 1), what is the probability that only one machine is in working condition after two days? (b) Find the expected number of days until both machines are down, given that currently both machines are operational. (c) Find the steady state probabilities. (d) Suppose the revenue of the manufacturing system is R TL per day if any one of the machines is in operating condition and currently p = 0.3. What will be the percentage change in the long run average benefit per day if a major technological improvement is achieved that changes p from 0.3 to 0.2?
Answers
(a) To find the probability that only one machine is in working condition after two days, we need to determine the probability of transitioning from state (1, 1) to state (1, 0) after two days.
From the transition probability matrix, we see that to transition from (1, 1) to (1, 0) in one day, both machines need to remain operational, which has a probability of (1 - p) * (1 - p) = (1 - p)^2.
Therefore, the probability of transitioning from (1, 1) to (1, 0) after two days is ((1 - p) * (1 - p))^2 = (1 - p)^4.
(b) To find the expected number of days until both machines are down, given that currently both machines are operational, we need to consider the transition probabilities from state (2, 0) to state (0, 1).
From the transition probability matrix, we see that to transition from (2, 0) to (0, 1) in one day, both machines need to fail, which has a probability of p * p = p^2.
Therefore, the expected number of days until both machines are down, given that both machines are currently operational, is 1 / (p^2).
(c) To find the steady-state probabilities, we need to solve the equation πP = π, where π is the row vector of steady-state probabilities and P is the transition probability matrix.
Solving this equation will give us the steady-state probabilities for each state (i, j). Since the given matrix is not provided, it is not possible to calculate the exact steady-state probabilities without the specific values of the transition probabilities.
(d) To determine the percentage change in the long-run average benefit per day if p changes from 0.3 to 0.2, we would need to know how the revenue R TL is related to the probability p. Without this information, it is not possible to calculate the percentage change.
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Use the Venn diagram to identify the population and the sample.A rectangular box reads, The income of home owners in a certain state, contains a smaller rectangular box that reads, The income of home owners in the state who own a car. The income of home owners in a certain stateThe income of home ownersin the state whoown a car
Answers
The population is represented by the larger rectangular box, which refers to the income of all home owners in a certain state. The sample is represented by the smaller rectangular box within the population, which specifies the income of home owners in the state who also own a car.
In this scenario, the Venn diagram is used to illustrate the relationship between the population and the sample. The larger rectangular box represents the population, which encompasses all home owners in a certain state. This includes individuals who own a car as well as those who do not own a car.
Within the population, there is a smaller rectangular box that represents the sample. This sample is a subset of the population and consists of home owners in the state who also own a car. It focuses on a specific group within the population, namely those who meet the criteria of being home owners and car owners.
The purpose of using a Venn diagram in this context is to visually demonstrate the relationship between the population and the sample. It shows that the sample is a part of the larger population, and it helps to differentiate the specific subset of individuals being considered.
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In a certain lottery, 7 balls are drawn at random from $n$ balls numbered from 1 to $n$. If the probability that no pair of consecutive numbers is drawn is the same as the probability of drawing exactly one pair of consecutive numbers, and both probabilities are nonzero, then determine $n$.
Answers
To determine the value of n, we need to equate the probabilities and solve for n. Let's set up the equation: Therefore, the value of $n$ is 12.
There are n-1 ways to choose the first ball (since it can be any number from 1 to n except n itself). For each of these choices, there are n-3 ways to choose the second ball (again, any number except the first chosen number and its consecutive number). Similarly, for each pair of chosen balls, there are n-5 ways to choose the third ball, and so on.
Therefore, the probability of not drawing any pair of consecutive numbers is given by:
(n-1)(n-3)(n-5)...(3)(1) / n(n-2)(n-4)...(4)(2)
The probability of drawing exactly one pair of consecutive numbers can be calculated as follows:There are n-2 ways to choose the position of the pair of consecutive numbers (since it can start from any position except the first and last position). For each choice, there are (n-1) ways to choose the actual pair of consecutive numbers. For the remaining n-3 balls, there are (n-3)(n-5)...(3)(1)
ways to choose them such that no other pair of consecutive numbers is drawn.
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A camp counselor is trying to determine of the places they have previously camped where his campers favorite camping spots are what is the population of the survey
Answers
Answer:
Uhhh the previous campers?
Step-by-step explanation:
No idea if this is some sort of trick question but I'm just going to go ahead and say the campers.
Answer:
a
Step-by-step explanation:
A jet left the airport eight hours before a passenger plane. The planes flew in opposite directions. The passenger plane flew at 170 mph for four hours. After this time the planes were 4340 mi. apart. What was the jet's speed?
Answers
Answer:
The jet was traveling at 244.5 mph
Step-by-step explanation:
170x4=428
4340-428=3912
3912/4=978
978/4=244.5
use a model for security purposes a jewelry company prints a hidden watermark on the logo of its official documents. the watermark is a chord located 0.7 cm from the center of a circular ring that has a 2.5 cm radius. to the nearest tenth, what is the length of the chord?
Answers
The length of the chord located 0.7 cm from the centre of a circular ring with a 2.5 cm radius is approximately 3.5 cm.
To calculate the length of the chord, we can use the following formula:
Chord Length = 2 x √(r^2 - d^2)
Where r is the radius of the circular ring and d is the distance between the chord and the centre of the circle.
In this case, r = 2.5 cm and d = 0.7 cm. Plugging these values into the formula, we get:
Chord Length = 2 x √(2.5^2 - 0.7^2) ≈ 3.5 cm (rounded to the nearest tenth)
Therefore, the length of the chord is approximately 3.5 cm. This hidden watermark technique is a simple but effective security measure that can help prevent counterfeiting or tampering with important documents. By incorporating a unique and difficult-to-replicate watermark, the jewellery company can protect its brand identity and ensure the authenticity of its official documents.
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Andre is preparing for the school play. He needs to paint a cardboard box to look like a dresser. The box is a rectangular prism that measures 5 feet tall, 4 feet long, and 2.5 feet wide. Andre does not need to paint the bottom of the box. 1. How much cardboard does Andre need to paint?
Answers
Answer:
Step-by-step explanation:
75 is right
4 years is what fraction of a century?
Answers
I got the first part but i dont onow how to get the other ones
Answers
The value of x for this problem is given as follows:
x = 5.
Hence the angle measures are given as follows:
m < CAB = 32º.m < FDE = 32º.How to obtain the value of x?
We have that angles A and D are congruent for this problem, meaning that they have the same measure.
Hence the value of x is obtained as follows:
7x - 3 = 5x + 7
2x = 10
x = 5.
Hence the angle measures are given as follows:
m < CAB = 7(5) - 3 = 35 - 3 = 32º.m < FDE = 5(5) + 7 = 32º.More can be learned about angle measures at https://brainly.com/question/25716982
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Find the radius of a circle that has an area of 19.625
Answers
Answer:
385.3369\(\pi\)
Step-by-step explanation:
385.3369\(\pi\)
4. In a class of students, the following data table
summarizes how many students have a cat or a dog. What
is the probability that a student chosen randomly from the
class has a dog?
Has a dog
Does not have a dog
Has a cat Does not have a cat
16
4
6
3
Answers
The probability that a student who had a dog also had a cat would be = 7/25.
How to calculate the possible outcome of the given event?To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;
Probability = possible outcome/sample space
possible outcome = 7
sample space = 7+2+3+13 = 25
Probability = 7/25
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how to find the minimum value of a quadratic equation
Answers
Answer:
standard form: -b²/(4a) +cvertex form: kfactored form: -a/4(p-q)²see below for the meaning of a, b, c, k, p, q.
Step-by-step explanation:
You want the minimum value of a quadratic function.
ExtremeThe extreme will be a minimum if the sign of the leading term is positive. It will be a maximum if the sign of the leading term is negative.
Standard formThe standard form equation of a parabola is ...
f(x) = ax² +bx +c
The x-coordinate of the extreme value (maximum or minimum) is ...
x = -b/(2a)
The y-coordinate of the extreme value, the maximum or minimum, is ...
y = -b²/(4a) +c
The extreme point is (-b/(2a), -b²/(4a) +c).
Vertex formThe vertex form equation of a parabola is ...
f(x) = a(x -h)² +k
The coordinates of the vertex (extreme point) are (h, k).
Factored formThe factored form of the equation of a parabola is ...
f(x) = a(x -p)(x -q)
where p and q are the x-intercepts.
The coordinates of the extreme point are ((p+q)/2, -a/4(p-q)²).
__
Additional comment
As you can see, the way you find the minimum (or maximum) value depends on what you're starting with. In general that value is the y-value of the vertex. We have also shown the x-value of the vertex, because you may be asked for the coordinates of the minimum (or maximum) point.
You may see the quadratic function in other forms. Generally, those forms can be rearranged to one of these forms. Obviously, if you're looking for the vertex, the "vertex form" is the easiest place to start.
The value of 'a' is the leading coefficient in every case.
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To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method. The minimum value occurs at the vertex of the parabola.
To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method.
Vertex Formula:
Identify the values of 'a', 'b', and 'c' in the quadratic equation of the form ax^2 + bx + c = 0.Use the vertex formula x = -b/2a to find the x-coordinate of the vertex.Substitute the x-coordinate into the quadratic equation to find the y-coordinate of the vertex, which represents the minimum value of the quadratic equation.Completing the Square:
Rewrite the quadratic equation in the form a(x-h)^2 + k by completing the square.Identify the values of 'h' and 'k', which represent the coordinates of the vertex.The value of 'k' represents the minimum value of the quadratic equation.By using either of these methods, you can find the minimum value of a quadratic equation.
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simplify each radical expression pleaseeee help i haven’t done algebra in 2 years
Answers
Answer:
4. 12√3
5. -35√2
6. 5√2/2
Step-by-step explanation:
4. 3√12+2√27
= 3√(4×3) + 2√(9×3)
= 6√3+6√3
= 12√3
5. 5√8-9√50
= 5×2√2-9×5√2
= 10√2-45√2
= -35√2
6. 5/√2
= 5×√2/(√2×√2)
= 5√2/2
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With the aid of a suitable supporting diagram, outline the purpose and key components of a Decision Support System (DSS).
With reference to the diagram you provided in your answer to (a), compare the support provided within Individual DSS to that provided in Group DSS.
Explain the evolutionary approach to MIS development, and when it would be most suitable for the development of an Individual DSS.
Answers
A Decision Support System (DSS) is a computer-based information system that assists decision-makers in making informed and effective decisions. It provides analytical tools, models, and data to support decision-making processes. The key components of a DSS include a database, model base, user interface, and decision-making tools.
A suitable diagram illustrating the purpose and key components of a Decision Support System (DSS) would typically show the interrelationship between these components. The diagram would highlight the flow of information from the database to the user interface, where decision-makers interact with the system using decision-making tools. The model base represents various analytical models and algorithms used to analyze data and generate insights for decision-making.
Individual DSS and Group DSS differ in terms of the support they provide. Individual DSS focuses on assisting individual decision-makers in their decision-making processes. It provides personalized support tailored to the specific needs and preferences of the individual user. On the other hand, Group DSS facilitates collaborative decision-making among a group of individuals. It supports communication, information sharing, and consensus-building among group members.
The evolutionary approach to Management Information System (MIS) development involves incremental and iterative development of the system. It starts with a basic version of the system and gradually adds new features and functionalities based on feedback and evolving requirements. This approach is most suitable for the development of an Individual DSS when the user's decision-making needs are not fully understood or when the requirements are likely to change over time.
By adopting an evolutionary approach, the system can be refined and enhanced iteratively, ensuring it remains aligned with the user's evolving needs and provides effective decision support.
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Is y= -2/x nonlinear or linear
Answers
Answer:
nonlinear
Step-by-step explanation:
If that's a fraction with an x on the bottom, it is non-linear.
Linear (graph is a line) has y = mx + b format or similar, with x having only a power of 1 (just plain x)
You get curves and other graphs when x is squared or higher exponent, or x inside a squareroot is also not a line. And, like your problem if x is on the bottom of a fraction it is nonlinear.