Answer:
(c):53
Step-by-step explanation:
Let's start with the equation:
3x+5y
Since we already have the values of x and y, we can just solve the equation.
3(11)+5(4)
33+20=53
The answer is (c)53
You can afford a $400 per month car payment. You've found a 5 year loan at 2% interest. How big of a loan can you afford?
The loan's Present Value for which you can afford a $400 monthly payment for a car for 5 years at 2% interest should be as big as $22,820.94.
What is the present value?The present value is the discounted monthly payments at an interest rate for a period.
The present value can be determined using an online finance calculator as follows.
N (# of periods) = 60 months (5 years x 12)
I/Y (Interest per year) = 2%
PMT (Periodic Payment) = $400
FV (Future Value) = $0
Results:
Loan size (Present Value) = $22,820.94
The sum of all periodic payments = $24,000.00
Total Interest = $1,179.06
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Your math teacher owns 3 pairs of pants and 3 pairs of shoes. He owns a pair of gray pants, green pants, and blue pants. He owns black shoes, brown shoes, and tan shoes. If he randomly chooses one pair of pants and one pair of shoes, what is the sample space of possible combinations of pants and shoes that he could wear on a typical school day?
Answer:
The sample space of possible combinations of pants and shoes for the math teacher is 9. These combinations include gray pants with black, brown, or tan shoes, green pants with black, brown, or tan shoes, and blue pants with black, brown, or tan shoes.
Hope its helpful
Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.
A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it turn when it changed direction? Show your work.
In a case whereby A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position the degrees north of west it turned is 72°
How can the degree be calculated?From trigonometry, the law of cosines states the side c of a triangle can be found as
c² = a² + b² - 2abcos(C)
where
C = angle opposite to side c.
a and = lengths of the other sides.
a = 94, b = 119, c = 173.
c² = a² + b² - 2abcos(C)
173² = 94² + 119² - 2 x 94 x 119cos(C)
22327cos(C) = -6932
cos(C) = -6932/22327
C = arccos(-6932/22327)
C = 108º.
Then,
T = 180 - C
= 180 - 108 = 72º.
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help asap!!!
The tables represent hat sizes measured in inches for two baseball teams.
Cougars
21.5 24.5 22
21 22 23
22.5 24 21
22 23.5 22
23.5 22 24
Panthers
22.5 20 23.5
21 24 22
20.5 21.5 23
23 22.5 21
24 22 24.5
Which team has the largest overall size hat for their players? Determine the best measure of center to compare and explain your answer.
Panthers; they have a larger median value of 22.5 inches
Cougars; they have a larger median value of 22 inches
Panthers; they have a larger mean value of about 22 inches
Cougars; they have a larger mean value of about 22.6 inches
The correct answer is, Cougars; they have a larger median value of 22 inches.
Calculating the median and mean for each data set, we get:
Cougars:
Median = 22 inches
Mean = 22.3 inches
Panthers:
Median = 22.5 inches
Mean = 22.2 inches
Since the median of the Cougars data set is larger than the median of the Panthers data set, we can conclude that the Cougars have the largest overall size hat for their players.
Therefore, the correct answer is, Cougars; they have a larger median value of 22 inches.
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Since my uncles farmyeard apperas to be overrun with gos and chickens i asked him hom many of each did he have he responded that his dog and chicked had a total of 148 legs and 60 heads. hime mmay of each does he have
There are 14 dogs and 46 chickens in the farmyard.
The supposition that there are d dogs and c chickens.
Each chicken has two legs, but each dog has four.
Consequently, the total number of legs may be written as follows:
4d + 2c
Since we are aware that there are 148 legs in total, we can construct the following equation:
4d + 2c = 148
We may create another equation since we know that there are a total of 60 heads (dogs and chickens):
d + c = 60
Now that we have two equations with two variables, we may answer them both at the same time.
2d + 2c = 120 is the result of multiplying the second equation by two.
When we deduct this from the first equation, we obtain 2d = 28.
So, d = 14.
Reintroducing this into the second equation, we get:
14 + c = 60
So, c = 46.
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I NEED HELP WITH STATISTICS
The claims are this year some of their clients will have a starting salary of at least $38,500 and last year at least one of their clients had a starting salary of exactly $38,500. Correct options are A and B.
Based on the given information, option A can be true. This is because the average starting salary of the job placement agency's clients was $38,500 last year, which means some clients had a starting salary equal to or greater than that amount.
Option B is also true because the mean includes all values, including the value of $38,500, so it is likely that at least one client had that starting salary.
Option C cannot be determined from the given information as it is unclear what percentage of clients had a starting salary above $38,500. Option D is not necessarily true as there is no information on the starting salary of any client exceeding $42,000.
Option E is also not true as the average salary of $38,500 does not guarantee that all clients had that same starting salary. Therefore, the correct answer is A and B, and the rest cannot be determined from the given information.
Correct options are A and B.
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How do I divide this somebody please help
Answer:
3
Step-by-step explanation:
factorize whats common in the question
division turns to multiplication by Inverwing the fraction
at the end of the day you will be left with 3
I hope you understand
1
The dimensions of a cube and a rectangular prism are shown below.
Cube
B
2x
3x
Rectangular Prism
4x
Which statement is true?
A The surface area of the rectangular prism is 24 times larger than the surface area of
the cube.
26
The surface area of the rectangular prism is times larger than the surface area of
the cube.
C The volume of the rectangular prism is 48 times larger than the volume of the cube.
D
8
The volume of the rectangular prism is 3 times larger than the volume of the cube.
The surface area of the rectangular prism is (26/3) times larger than the surface area of the cube.
Given data ,
Let the surface area of the cube be S₁
Let the surface area of the rectangular prism be S₂
Let the volume of the cube be V₁
Let the volume of the prism be V₂
On simplifying , we get
The side length of cube = x
So , surface area of cube = 6x²
The volume of cube = x³
And , the surface area of prism = 2 ( 12x² + 8x² + 6x² )
S₂ = 52x²
And , volume of prism = l x w x h
V₂ = ( 2x ) ( 3x ) ( 4x ) = 24x²
So , S₂ = ( 26/3 ) S₁
52x² = ( 26/3 ) ( 6x² )
52x² = 52x²
Hence , The rectangular prism's surface area is (26/3) times greater than the cube's surface area.
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The complete question is attached below :
The dimensions of a cube and a rectangular prism are shown below.
Which statement is true?
A The surface area of the rectangular prism is 24 times larger than the surface area of the cube.
The surface area of the rectangular prism is times larger than the surface area of the cube.
C The volume of the rectangular prism is 48 times larger than the volume of the cube.
D The volume of the rectangular prism is 3 times larger than the volume of the cube.
Answer this question please
The correct option is D, the parent quadratic function is:
f(x) = x²
Which one is the parent quadratic function?First, we define the parent functions as the simplest function for each type.
For example, the parent linear function is.
y = x
The parent square root function is:
y = √x
The parent absolute value function is:
y = |x|
And so on.
So the parent quadratic function is a polynomial of degree 2 where we only have the quadratic term (and no coefficient).
Thus, the correct option is D; f(x) = x²
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jasper is picking out his clothes for school he can wear a t shirt polo or sweat shirt as a top for pants khakis jeans sweat pants corduroys and short he can wear boots or tennis shoes or sandals jasper also need a jacket he has a ski and a rain coat and a wool coat how many combinations did jasper pick in total
Jasper has a total of 135 possible combinations for his outfit.
To calculate the total number of combinations that Jasper can pick for his outfit, we need to multiply the number of options for each category: tops, pants, shoes, and jackets.
For tops, Jasper has three options: t-shirt, polo, or sweatshirt.
For pants, he has five options: khakis, jeans, sweatpants, corduroys, or shorts.
For shoes, he has three options: boots, tennis shoes, or sandals.
For jackets, he has three options: ski coat, raincoat, or wool coat.
To calculate the total number of combinations, we multiply the number of options for each category:
3 (tops) × 5 (pants) × 3 (shoes) × 3 (jackets) = 135
Jasper has a total of 135 possible combinations for his outfit.
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7 x 7 87 x 9 999 x 866 what is my out come
Answer:
47703169206
Step-by-step explanation:
7 x 787 x 9999 x 866 = 47703169206 via the process of multiplication
Answer:
8,9740 that is your answer and then I hope you have a good day and hope this helps
Wendy, who is single, worked her way through college earning an annual taxable income of $12,000 in 2022. Her first job after graduation will give her a taxable income of $35,000 per year. Using the tax table, what is her marginal tax bracket in 2022 while she is still in school and what will it be when she graduates?
A. 0 percent now, 10 percent when she graduates.
B. 10 percent now and when she graduates.
C. 0 percent now and 10 percent when she graduates.
D. 12 percent now, 12 percent when she graduates.
Wendy's marginal tax brackets in 2022 while she is still in school is 12 percent and it will be also 12 percent when she graduates.
Hence the correct option is (D).
Given that Wendy is Single.
So the effective taxable income regime will be which is on the second column.
It is given that at her school days she earns a taxable income of $ 12,000.
So $12000 falls in the slab of $ 10276 - $ 41775.
So the tax rate for her in her school days is 12%.
When she will graduates the taxable per year income will be $35,000.
Clearly, $35,000 also falls into the slab of $ 10276 - $ 41775.
So the tax rate for her when she will graduate will be same 12 percent.
Hence the correct option will be (D).
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x-y=-1
x=-9
solution problem i am having trouble trying to solve or figure out
The solution to the System of equations is x = -9 and y = 8
We have the equation x - y = -1 and the equation x = -9. We can use the second equation to substitute the value of x in the first equation and solve for y.
Given x = -9, we substitute this value into the first equation:
(-9) - y = -1
Simplifying, we have:
-9 + y = -1
To isolate y, we can add 9 to both sides of the equation:
-9 + 9 + y = -1 + 9
This gives us:
y = 8
Therefore, the solution to the system of equations is x = -9 and y = 8.
We can check this solution by substituting the values of x and y back into the original equations:
Equation 1: x - y = -1
Substituting x = -9 and y = 8:
-9 - 8 = -1
Simplifying, we have:
-17 = -1
The equation is true, so our solution is valid.It is important to note that the solution provided is derived from the given equations and standard algebraic methods.
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Sean A = < - 7, 5 ] U [10, 18 >, B = [ - 2, 8 > U < 13, 23 ]
C = < 1, 15>.
Hallar: (A ∩ B ) - C
The result of the expression (A ∩ B) - C is [-2, 5] U [13, 18] is [-2,5,13,18].
To find the result of the expression (A ∩ B) - C, where A, B, and C are sets, we need to perform the following steps:
Find the intersection of sets A and B, denoted as (A ∩ B).Subtract set C from the intersection (A ∩ B).Given the sets:
A = < - 7, 5 ] U [10, 18 >
B = [ - 2, 8 > U < 13, 23 >
C = < 1, 15 >
1.Find the intersection of sets A and B (A ∩ B):
To find the intersection, we need to find the overlapping region between the intervals.The intersection of the intervals [-7, 5] and [-2, 8] is [max(-7, -2), min(5, 8)] = [-2, 5].The intersection of the intervals [10, 18] and [13, 23] is [max(10, 13), min(18, 23)] = [13, 18].Therefore, the intersection of sets A and B is [-2, 5] U [13,18].2. Subtract set C from the intersection (A ∩ B):
Subtracting set C = <1, 15> from the intersection [-2, 5] U [13, 18] means removing any elements that are present in set C from the intersection.
Since set C = <1, 15> does not overlap with either [-2, 5] or [13, 18], the subtraction (A ∩ B) - C results in the same set as the intersection:
(A ∩ B) - C = [-2, 5] U [13, 18].
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A survey of 81 randomly selected homeowners finds that they spend a mean of $73 per month on home maintenance. Construct a 98% confidence interval for the mean amount of money spent per month on home maintenance by all homeowners. Assume that the population standard deviation is $10 per month. Round to the nearest cent.
We are 98% confident that the true mean amount of money spent per month on home maintenance by all homeowners is between $70.19 and $75.81.
A confidence interval is a range of values that is likely to contain the true value of the population parameter with a given level of confidence. A confidence interval for the population mean μ can be constructed as follows:
μ = sample mean ± margin of error where the margin of error is given by:margin of error = (critical value) x (standard error)
Here, we want to construct a 98% confidence interval for the mean amount of money spent per month on home maintenance by all homeowners. We are given that a survey of 81 randomly selected homeowners finds that they spend a mean of $73 per month on home maintenance.
The population standard deviation is assumed to be $10 per month.
Therefore, the standard error of the mean is given by:standard error = σ / sqrt(n) = 10 / sqrt(81) = 10 / 9 = 1.11
where σ is the population standard deviation and n is the sample size.To find the critical value, we need to look up the t-distribution table with 80 degrees of freedom and a significance level of 0.01 (since we want a 98% confidence interval).
The corresponding value is 2.527.
Therefore, the margin of error is:margin of error = (critical value) x (standard error) = 2.527 x 1.11 = 2.81
Finally, we can construct the confidence interval as follows:73 ± 2.81 = (70.19, 75.81)The confidence interval is rounded to the nearest cent.
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Which graph shows the solution to the inequality?
The solutions of the given inequality is: x ≥ -1 or x ≤ -5, the correct number line is 2nd.
To solve the inequality |x + 3| ≥ 2, we need to consider two cases:
Case 1: (x + 3) ≥ 2
If x + 3 is greater than or equal to 2, then the absolute value of (x + 3) will also be greater than or equal to 2. Solving this case:
x + 3 ≥ 2
x ≥ 2 - 3
x ≥ -1
So, for this case, the solution is x ≥ -1.
Case 2: -(x + 3) ≥ 2
If -(x + 3) is greater than or equal to 2, then the opposite of (x + 3) will also be greater than or equal to 2. Solving this case:
-(x + 3) ≥ 2
x + 3 ≤ -2
x ≤ -2 - 3
x ≤ -5
So, for this case, the solution is x ≤ -5.
Combining the solutions from both cases, we have the final solution:
x ≥ -1 or x ≤ -5
Hence the number line showing the given inequality is 2nd.
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Ole has a window that has the dimensions and shape like the trapezoid shown below. He also has a large rectangular piece of poster board that measures 25 inches by 60 inches. If Ole cuts out a piece of poster board that is exactly the same size as the window, which equation can be used to calculate the amount of poster board that will be left over?
The amount of poster board left over will be 1275 square inches, the equation used is A = (b₁ + b₂)h/2.
To calculate the amount of poster board that will be left over after Ole cuts out a piece of poster board that is the same size as the window,
we need to find the area of the trapezoid window and subtract it from the area of the poster board.
The formula to find the area of a trapezoid is A = (b₁ + b₂)h/2, where b₁ and b₂ are the lengths of the parallel sides and h is the height.
Let's assume that the length of the top parallel side of the trapezoid is 20 inches, the length of the bottom parallel side is 10 inches, and the height is 15 inches.
Using the formula, we get A = (20 + 10) x 15 / 2 = 225 square inches. This is the area of the window.
To find the area of the poster board, we multiply the length and width, which gives 25 x 60 = 1500 square inches.
Finally, we subtract the area of the window from the area of the poster board using the equation:
1500 - 225 = 1275 square inches.
Therefore, the amount of poster board left over will be 1275 square inches.
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The complete question is
Ole has a window that has the dimensions and shape like the trapezoid shown below. He also has a large rectangular piece of poster board that measures 25 inches by 60 inches. If Ole cuts out a piece of poster board that is exactly the same size as the window, which equation can be used to calculate the amount of poster board that will be left over?
160 students went on a field trip. Five buses were filled and 15 students traveled in cars. How many students were in each bus?
Each bus had ____ students.
What is the first step when factoring polynomials?
Answer:
Step-by-step explanation:
Step 1: Group the first two terms together and then the last two terms together. Step 2: Factor out a GCF from each separate binomial. Step 3: Factor out the common binomial. Note that if we multiply our answer out, we do get the original polynomial.
Answer: To find a 2 numbers that multiply to the value of C and Add to the value of b.
Step-by-step explanation: They Have to multiply to C and add to B and after that you can just continue simplifying the polynomial.
Graph by completing the square x2-2x+y2+6y-6=0
The equation in the standard form of a circle and find the centre and radius:
(x - 1)²/31 + (y + 3)²/31/3 = 1
To graph by completing the square, we need to rearrange the equation so that it has the form:
(x - h)² + (y - k)² = r²
Starting with x² - 2x + y² + 6y - 6 = 0:
First, we can factor out a 2 from the x terms and a 6 from the y terms:
2(x² - 2x) + 6(y² + 6y) - 6 = 0
Next, we need to complete the square for the x and y terms:
2(x² - 2x + 1) + 6(y² + 6y + 9) - 6 = 2(1) + 6(9)
Simplifying, we get:
2(x - 1)² + 6(y + 3)² = 62
Now we can rewrite the equation in the standard form of a circle and find the centre and radius:
(x - 1)²/31 + (y + 3)²/31/3 = 1
The centre of the circle is (1, -3), and the radius is √(31/3).
The graph is attached with the answer below.
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You walk along the outside of a park starting at point P to point Q. You then take a shortcut back to point P, represented by PQ on the graph.
The length of the shortcut is 1 mile
The total length of your walk in the park is 1.4 miles
Given that you walk along the outside of a park starting at point P to point Q
The point P is at (0, 0)
The point Q is located at (0.6, 0.8)
We have to find the length of the shortcut
Distance=√(x₂-x₁)²+(y₂-y₁)²
PQ=√(0.6-0)²+(0.8)²
=√0.36+0.64
=√1 units
=1 mile
The total length of the park is PR+RQ
PR=√(0.6-0)²
=0.6
RQ==√(0.8-0)²
=0.8
The total length is 0.6+0.8
Which is 1.4 miles
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A total of 605 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 more student tickets sold than adult tickets. How many adult tickets were sold?
Fergus and his best friend went to a movie
and bought popcorn. They split the cost
evenly, each paying $17. How much was the
total cost of the movie and popcorn? If x
equals the total cost, choose the equation
that solves the problem.
O x/2 = 17
Ox-17 = 2
Ox+17 = 2
2x = 17
Answer:
x / 2 = 17
Step-by-step explanation:
Since we're told that there are 2 friends, they split the cost evenly, and they each paid $17 individually, we'd have to use the equation x / 2 = 17 to find the total cost.
If you were to solve, you'd find that the total cost was $34 as 2 * 17 = 34 and 34 / 2 = 17
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
1. The proportion is; x/4 = 12/18
2. The height of the mailbox is 2.7 feet
What is proportion?In mathematics, a proportion is an equation that states that two ratios are equal. It expresses the relationship between the quantities in terms of their relative sizes or magnitudes. Proportions are used in various areas of mathematics and real-life applications, such as ratios
We have;
Length of the mail box shadow = 4 feet
Length of the tree shadow = 18 feet
Height of the mail box = x
Height of the tree = 12 feet
Thus;
x/4 = 12/18
x = 4 * 12/18
x = 2.7 feet
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PLEASE HELP
The area of a rectangle in square inches is
shown below. If the length of the rectangle is
x - 4 inches, write an expression to represent
the width of the rectangle.
Your answer
A = 5x² 18x - 8
1 points
Answer:
-4x² + 14x + 8Step-by-step explanation:
It's given that, The area of a rectangle in square inches is 5x² - 18x - 8 and the length of the rectangle is x - 4 inches.
Let the width of the rectangle be x inchez
We know that area of Rectangle is calculated by,
[tex]:\implies[/tex] Length × width = area
Substituting the values we get,
[tex]:\implies[/tex] (x - 4)(x) = 5x² - 18x - 8
[tex]:\implies[/tex] x² - 4x = 5x² - 18x - 8
[tex]:\implies[/tex] x² - 5x² - 4x + 18x = -8
[tex]:\implies[/tex] -4x² + 14x = -8
[tex]:\implies[/tex] -4x² + 14x + 8 = 0
Hence, This is the required expression which represent the width of the rectangle.
the temperatures at midday on march 1st in five cities are shown in the bar chart below. What is the difference in temperature between rome and munich?
The difference in temperature between Rome and Munich is given as follows:
6ºC.
How to obtain the difference in temperatures?The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.
The bar graph in the context of this problem gives the temperature for each town.
From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:
Rome: 11 ºC.Munich: 5 ºC.Hence the difference in temperature between Rome and Munich is given as follows:
11 - 5 = 6ºC.
Missing InformationThe graph is given by the image presented at the end of the answer.
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The following are the populations for the top twelve largest cities in the U. S. New York City, NY: 8,336,817 Los angeles CA: 979.576 Chicago, il:2,693,976 Houston, TX: 2,320,268 Phoenix AZ: 1,680,992 Philadelphia PA: 1,584,064 San Antonio TX: 1, 547,253 San Diego CA: 1,423,851 Dallas TX: 1,343,573 San Jose CA: 1,021,795 Austin TX:978,908 Jacksonville FL: 911,507. What is the mean population?, what is the median population?, what is the mode?, what is range?, what is the standard Deviation?
Mean: Mean = (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12=2688602
Median = 1,643,032
Mode: Determine the value(s) that appear most frequently in the population list. In this case, there is no mode as none of the population values repeat.
Range = 8,336,817 - 911,507 = 7,425,310.
Standard Deviation = √( Σ ( xi - μ )² / N )
To find the mean, median, mode, range, and standard deviation of the given population data for the top twelve largest cities in the U.S., we can perform the following calculations:
Performing these calculations will yield the mean population, median population, mode (if any), range, and standard deviation of the given population data for the top twelve largest cities in U.S .
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Unique ID: 2473
Watch help video
An electrician charges a set fee of $50 for every house call and then charges an
additional hourly rate. One day, the electrician earned a total of $400 for a 5 hour
job. Write an equation for C, in terms of t, representing the total cost of the
electrician's services if the electrician spends t hours at the house working.
Answer: C
I
Submit Answer
POW
attempt 1 out of 2
The equation that represents the total cost is C = $50 + $70t.
What is the equation that represents the total cost?The total amount earned by the electrician is the sum of the fixed cost and the variable cost.
Total amount earned = fixed cost + variable cost
The fixed cost is the set fee he charges . The variable cost is a function of the additional hourly fee and the number of hours
The equation that represents the the total amount earned when he works for 5 hours is:
$400 = $50 + (5 x v)
$400 = $50 + 5v
$400 - $50 = 5v
$350 = 5v
v = $350 / 5
v = $70
C = $50 + $70t
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A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm².
Work out the volume of cylinder B.
Optional working
+
18 cm²
A
Answ cm³
5 cm
B
10 cm
The volume of cylinder B can be calculated using the concept of similarity between the cylinders and the relationship between their areas and volumes. Therefore, the volume of cylinder B is approximately 135.346 cm³.
Given that cylinders A and B are mathematically similar, we can establish a ratio between their corresponding measurements. In this case, we are given the area of the cross-section of cylinder A, which is 18 cm², and the dimensions of cylinder B, which has a height of 10 cm and an unknown radius.
To find the volume of cylinder B, we need to determine the corresponding measurements of its cross-section. Since the cylinders are similar, the ratio of their areas is equal to the square of the ratio of their corresponding linear measurements.
Let's assume that the radius of cylinder B is 'r'. Since the height of cylinder B is given as 10 cm, we can calculate the area of its cross-section using the formula for the area of a circle: A = πr².
The ratio of the areas of the cross-sections of cylinders A and B can be expressed as (Area of A) / (Area of B) = 18 / (πr²).
Since the height of cylinder B is twice that of cylinder A (10 cm compared to 5 cm), the ratio of their corresponding linear measurements is 2:1.
Therefore, the ratio of the areas is (2:1)² = 4:1.
Setting up the equation, we have 18 / (πr²) = 4/1.
By rearranging the equation, we can solve for the radius 'r' of cylinder B:
18 = (4/1) * (πr²)
18 = 4πr²
r² = 18 / (4π)
r² = 4.545
r ≈ 2.132 cm
Now that we have the radius of cylinder B, we can calculate its volume using the formula for the volume of a cylinder: V = πr²h.
V = π * (2.132)² * 10
V ≈ 135.346 cm³
Therefore, the volume of cylinder B is approximately 135.346 cm³.
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workers can finish the job in days. For the first days, only workers worked on the job. Then for the next days more workers joined them. To finish the job, more workers joined them. After how many days was the whole job done?
In 20 days was the whole job done.
Let efficiency of each worker is 1 unit / day .
So, Total work = 10 x 1 x 15 = 150 units .
Now, in first 5 days 6 worker completes
= 5 x 6 x 1 = 30 units .
and, in next 3 days 8 workers completes
= 3 x 8 x 1 = 24 units .
Now, 4 more workers joined then total workers are = 12 workers .
So, amount of work left = 150 - 30 - 24 = 96 unit
Thus, the time taken by 12 workers to complete remaining work
= 96/12
= 8 days .
So, the Whole job was done in = 5 + 3 + 12 = 20 days
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The question attaches here seems to incomplete the complete question is
10 workers can finish the job in 15 days. For the first 5 days, only 6 workers worked on the job. Then for the next 3 days 2 more workers joined them. To finish the job, 4 more workers joined them. After how many days was the whole job done?