Task #6
How many buckets do we need?
Abinash wants to fill his pool but his hose is busted! His
friends decided to help him fill the pool with water buckets.
The base of the pool has dimensions 4 m by 2 m and the
height is 1 m, but they decided to fill the pool only
two-thirds way.
Each water bucket has radius
0.13 m and height 0.55 m.
a) How many buckets of water would they need to fill the pool two-thirds way?
b) What assumption did you make to arrive at your answer?
Answers
a) How many buckets of water would they need to fill the pool two-thirds way?
178 buckets
b) What assumption did you make to arrive at your answer?
*I assumed the buckets would be full to the top and not spill
*I assumed the pool is a rectangle with square sides and bottom, not rounded
*I assumed the bucket is a cylinder with the same radius top and bottom with straight sides
———
We know
The base of the pool has dimensions 4 m by 2 m and the height is 1 m
they decided to fill the pool only two-thirds way.
Each water bucket has radius 0.13 m and height 0.55 m.
First, we find the volume of the pool
Which is Length x width x height.
4 x 2 x 1 = 8m
They will be filling only 2/3 of the pool
V is 8m x 2/3 = 16/3 m to fill only 2/3
Now to find the volume of the bucket (cylinder)
V = TT x radius^2 x height
V = 3.14 x .13^2 x .55
V = 3.14 x .0169 x .55
V = .03
Now we need to find how many buckets (.03) in the 2/3 volume pool (16/3)
Since we want to divide, let’s turn .03 into a fraction, 3/100.
Now divide volume of pool at 2/3 full by volume of the bucket
16/3 divided by 3/100
When we divide fractions we flip the divisor and multiply
16/3 x 100/3 = 1600/9 = 177.77 repeating
Round to 178 buckets
Related Questions
What equation in the point slope form matches the graph line shown
A• y+6= 4/5 (x+3)
B•y-2=-3/4(x-6)
C•y-6=4/5(x-3)
B•y-5=-2/3(x+9)
Answers
to get the equation of any straight line, we simply need two points off of it, let's use the ones in the picture below.
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-3)}}} \implies \cfrac{-2 +6}{2 +3} \implies \cfrac{ 4 }{ 5 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{4}{5}}(x-\stackrel{x_1}{(-3)}) \implies y +6= \cfrac{4}{5} (x +3)[/tex]
Bill has a paper route. It takes him 50 minutes
to deliver newspapers to his 40 customers. How
long will it take Bill to complete his route if he
adds 20 more customers in his neighborhood?
Answers
Answer:
75 min or 1 hour 15 min
Step-by-step explanation:
20 is 50% of 40 so add 50% of 50 min to the total. Half of 50 is 25 so you add 25 min
Answer:
if bill takes
40 customers =50 minutes
20 customers= 50÷2 =25 minutes
so 50 minutes + 25 minutes= 75 minutes in total.
What is the answer okkkkkkkkkkk
Answers
Step-by-step explanation:
well,
23 < 12 + 0.04×x
11 < 0.04×x
11/0.04 < x
275 < x
x > 275 or x >= 276
so, for more than 275 monthly calls (that means 276 or higher) plan 1 is more economical.
at 275 calls is is plain even between both plans.
for fewer calls than 275 plan 2 is more economical.
Please help me find the answer to this question.
Answers
The lengths 12, 16, 10, 5, and 2 of the sides, AP, DQ, CS, PQ, and QR respectively, using the triangle proportionality theorem, gives the area of trapezoid BRSC as 40 square units.
What is the triangle proportionality theorem?The triangle proportionality theorem states that a line parallel to a side of a triangle and also intersects the other two sides, it divides the two sides proportionally.
Based on the theorem, where the other two sides are perpendicular, the parallel side divides the two sides equally.
The given parameters are;
The figure represented by ABCD = A parallelogram
The lengths of the sides of the figure are;
AP = 12
DQ = 16
CS = 10
PQ = 5
QR = 2
Required: The area of figure BRSC
Solution;
Given that ABCD is a parallelogram, we have;
AD = BC (definition of a parallelogram)
Using the triangle proportionality theorem, we have;
PQ = RS = 5 (segments bounded by equidistant parallel lines)
DQ - CS = AP - BR = 16 - 10 = 6 (Parallel vertical lines intersected by parallel lines at different heights)
AP - BR = 6
BR = 12 - 6 = 6
The area, A, of trapezoid BRSC is therefore;
A = RS × (BR + CS)/2
Which gives;
A = 5 × (6 + 10)/2 = 40
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if there are 72 residents on 12 floors in a hotel, then there are 18 residents on _____ floors of the hotel
A 20
B 18
C 9
D 3
Answers
72/12=6.
18/3= 3 floors.
Hope this helps! Please like and mark brainliest!
Answer: D. 3
Step-by-step explanation:
Let's make a proportion:
72 residents - 12 floors
18 residents - х floors
Hence,
[tex]\displaystyle\\x=\frac{18*12}{72} \\\\x=\frac{18*4*3}{18*4} \\\\x=3\ floors[/tex]
Ferrera is 3/4 as old as June, and Tomasso is 1. 1/2 times as old as Ferrera. How many times as old as June is Tomasso? Write
your answer as a fraction.
Answers
June is 9 / 8 times as old as Tomasso in the question.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Ferrera is 3/4 as old as June, and Tomasso is 1. 1/2 times as old as Ferrera.
The number of the times will be calculated as below:-
F = ( 3 / 4) J
T = 1 ( 1 / 2 ) F
T = ( 3 / 2 )F
Put the value of F in the second equation.
T = ( 3 / 2) ( 3 / 4 )J
T = ( 9 / 8)J
Therefore, June is 9 / 8 times as old as Tomasso in the question.
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I need this answered for me please
Answers
Answer:
[tex]\frac{w}{2}[/tex] + 9 = 7
Step-by-step explanation:
Answer:
[tex] \frac{w}{7 } + 9 = 7[/tex]
Classify the function
-10
-5
10
5
-5
-10
5
10
Answers
the function is (5)(-10)
volume of a sphere(please hurry im in a test.
and can you also show the prosses of getting the anwser)
Answers
Answer:
The answer is 113.3
Step-by-step explanation:
We get this because he formula for the volume of a sphere is V = 4/3 πr³.
The radius is 7.
7^3 = 243
243*4 = 972.
So, the asnwer is 972 ft^3
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each linear graph to its slope
Answers
Write and solve the inequality that represents negative one fifth is greater than or equal to the product of negative two thirds and a number.
Answers
The solution of the given inequality is given as [tex]x\geq \frac{3}{10}[/tex]
What is an inequality?
Inequality is a declaration of an order connection between two integers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to).
According to the question, the inequality may be written and solved as follows:
[tex]-\frac{1}{5}\geq -\frac{2}{3} x[/tex]
[tex]or, \frac{1}{5}\leq \frac{2}{3} x[/tex]
[tex]or,\frac{1}{5}* \frac{3}{2} \leq x[/tex]
[tex]or, x\geq \frac{3}{10}[/tex]
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Solve each equation or inequality.
|3 x+9|=11
Answers
After solving the equation or inequality, x is equal to 2/3, -20/3 for the equation |3 x+9|=11
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
⇒ |3 x+9| = 11
For positive case
⇒ (3 x+9) = 11
⇒ 3x = 11 - 9
⇒ 3x = 2
⇒ x = 2/3
For negative case
⇒ -(3 x+9) = 11
⇒ -3x -9 = 11
⇒ -3x = 20
⇒ x = -20/3
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Use PEMDAS to solve the following. (17 - 6 divided 2) + 4 x 3
What is the anwser?
A. 54
B. 28.5
C. 21
D. 26
Answers
Answer:I used PEMDAS I Got D.26
Step-by-step explanation:
Is 22/25 a terminating or repeating decimal
Answers
Find the slope of the line through each pair of points. (-4,-3) and (7,1)
Answers
For the given coordinates (-4,-3) and (7,1) , the slope of line is 4/11.
How is slope determined?Determine the coordinates of two locations along the line that you choose.
Find the difference between these two locations' y-coordinates (rise). Find the difference between these two locations' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.
Given, the points are -
(-4,-3) and (7,1)
The formula to calculate slope is -
m = y2 - y1 / x2 - x1
Putting the value in the formula,
m = 1 +3 / 7 + 4
m = 4 / 11
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of the line given the following information. Write the
The slope is 5, and the line passes through the point (9, -9).
Answers
Answer:
y = 5x - 54
Step-by-step explanation:
that is the solution above
Find the value of x2 values that separate the middle 80 % from the rest of the distribution for 20 degrees of freedom.
Answers
The value of x² values that separate the middle 80 % from the rest of the distribution is
With alpha and degrees of freedom χ²= 12.443
And with alpha and degrees of freedom χ²= 28.412
Chi - Square Distribution:
The chi square distribution is the continuous distribution, where the degree of freedom is the sample size minus 1, and it is the parameter of the chi-square probability distribution.
Given,
Here we need to find the value of x² values that separate the middle 80 % from the rest of the distribution for 20 degrees of freedom.
Based on the given details,
Degrees of freedom = 20
Middle separate value = 80%
Which is equal to 0.8 in decimal point.
The significance level
=> ∝ = 1 - 0.8
=> ∝ = 0.2
But we need the area of the middle so we divide this significance level with 2
so that we get exactly the middle area .
Dividing
=> 0.2/2= 0.1
So we will have two values for chi square
One with
=> 0.8 + 0.1 = 0.9 alpha
and
one with
=> 0.1 alpha .
This is because the chi square is right tailed.
Now based on the chi square distribution table,
So with alpha 0.9 and 20 degrees of freedom χ²= 12.443
And with alpha 0.1 and 20 degrees of freedom χ²= 28.412
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If the perimeter of the parallelogram is 62 what is the value of y
Answers
Answer:
can you post the pic? or else nobody can help lol
Step-by-step explanation:
find two consecutives positive integers such that the square of the smaller integer, added to 3 times the larger integer is 24
Answers
Answer:
4 and 5
Step-by-step explanation:
Give Brainliest if I helped!
It's vote counting day for an election held in a country. The 3 TV stations updated the public about the number of votes cast starting at 7:00 in the morning. TV station A announces the vote counts every 2 hours, TV station B announces it every 3 hours, and TV station C announces it every 4 hours. At what time will the three TV stations announce the vote counts at the same time?
Answers
The 3 tv stations will announce the news again after 12 hours at 7 in the evening which is calculated by taking the LCM of the 3 intervals.
LCM or lowest common multiple of 2 or more numbers is defined as the minimum number which is lowest multiple of of the 2 or more numbers which is equal.
In mathematics and number theory. Since the result of dividing an integer by zero is not defined this definition only applies if both x and y are not equal to zero. However, given that 0 is the only common multiple of x and 0, some authors define LCM(x,0) as 0 for all x.
The intervals in which channels announce the news are 2 hours, 3 hours and 4 hours.
So we have to find the LCM of the numbers.
LCM(2,3,4)=12 as 12 is the smallest integer which is divided by all the other 3 numbers.
So the news channels will announce the news after 12 hours.
Since they announced at 7 in the morning so they would all announce the news again at 7 in the evening.
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Use the Hypotenuse Theorem
Answers
Answer:
Image result for Use the Hypotenuse Theorem
The Pythagoras theorem, also known as the Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle. Or, the sum of the squares of the two legs of a right triangle is equal to the square of its hypotenuse.
Step-by-step explanation:
Triangle ABC has vertices A(–1, 0), B(4, 0), and C(2, 6). If ΔABC is translated using the function rule (x, y) → (x – 6, y – 5) and then rotated 180° clockwise, what would be the coordinates of the vertices of ΔA’’B’’C’’?
a. A’’(–5, 7), B’’(–5, 2), C’’(1, 4)
b. A’’(7, 5), B’’(2, 5), C’’(4, –1)
c. A’’(7, 5), B’’(2, 5), C’’(4, 1)
d. A’’(–7, –5), B’’(–2, –5), C’’(–4, 1)
Answers
Answer:
b. A''(7, 5), B''(2, 5), C''(4, –1)
Step-by-step explanation:
Given vertices of ΔABC:
A = (-1, 0)B = (4, 0)C = (2, 6)Translation mapping rule:
(x, y) → (x – 6, y – 5)
Therefore:
A' = (-1 - 6, 0 - 5) = (-7, -5)B' = (4 - 6, 0 - 5) = (-2, -5)C' = (2 - 6, 6 - 5) = (-4, 1)Rotation of 180° clockwise rule:
(x, y) → (-x, -y)
Therefore:
A'' = (-7, -5) = (7, 5)B'' = (-2, -5) = (2, 5)C'' = (-4, 1) = (4, -1)Learn more about transformations here:
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Addie runs a sandwich delivery service. her income can be measured using the function y=12x+5, where y is her income and x is the number of sandwiches she delivers. what is a reasonable domain and range for the function of this situation.
Answers
Addie's income by running a sandwich delivery service is given by the function y = 12x + 5, which has a domain and range of [0 , +∞) and [5 , +∞), respectively.
In mathematics, a function is the representation of the relationship of a set of input(X) and its corresponding output(Y). The set of x is called the domain while the set of the corresponding y is the range.
If Addie runs a sandwich delivery service. her income can be measured using the function
y = 12x + 5
where x = number of sandwiches she delivers
y = income
The domain of a function is the set of values that we are allowed to plug into our function. The domain of any function of x is always the set of all real numbers but, reasonably speaking, we must consider the situation given. The number of sandwiches she delivers can only range from 0 to positive infinity, not negative.
domain : {x | x ≥ 0} or [0 , +∞)
On the other hand, the range of a function is the set of values of the function after plugging in the value of x.
Substituting our domain [0 , +∞) in the function.
y = 12x + 5
y = 12(0) + 5
y = 5
y = 12(+∞) + 5
y = +∞
range : {y | y ≥ 5} or [5 , +∞)
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In basketball, teams can score by making two-point shots, three-point shots, and one-point free throws. What algebraic expression models the total number of points that a basketball team scores in a game? If a team makes 10 two-point shots, 5 three-point shots, and 7 free throws, how many points does it score in all?
Answers
The algebraic expression models the total number of points that a basketball team scores in a game is 2x+3y+z and If a team makes 10 two-point shots, 5 three-point shots, and 7 free throws then the total points scored by the team is 42 points
Given,
The team can score by making = 2 point ,3 point and one point free throw
Then,
Consider the number of 2 points = x
The number of 3 points =y
The number of one point free throw = z
Then then algebraic expression for the total number of points that a basket ball team scores in a game = 2x+3y+z
Then,
Number of 2 points =10
Number of 3 points = 5
Number of free throws = 7
Substitute the values in the equation
The total points scored by basketball = 2×10+3×5+7
=20+15+7
=42 points
Hence, the algebraic expression models the total number of points that a basketball team scores in a game is 2x+3y+z and If a team makes 10 two-point shots, 5 three-point shots, and 7 free throws then the total points scored by the team is 42 points
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Answer:
ADGJL
Step-by-step explanation:
Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on green)
Answers
The probability of the spinner's point landing on green is 22.23%.
What exactly is a pie chart?A pie is a kind of chart that displays data in the form of a circular graph.
We understand that the total value of the pie is always 100%. It is also understood that a circle does have a circumference of 360°. As an outcome, the total of all data points equals 360°. There appear to be mainly two pie chart formulas based on these:
To determine a percentage of a data set, we use the following format: 100 (Frequency ÷ Total Frequency) × 100To convert the information to degrees, we use the given equations: (Informed Data ÷ Total value of Data) × 360°When a circle is completely rotated, it forms a 360-degree angle in the center.
At the center of the circle, a complete rotation yields 360 degrees.
The total percentage of all colors is 100%.
Divide a value of green by 3.6 since 360 degrees / 100% = 3.6.
The total percentage of green displayed by the spinner's pointer is 80%.
P (probability of the cursor landing on green) = 80/3.6
Probability P (cursor landing on green) = 22.222... = 22.23 (approx.)
As a result, the probability which the pointer will land on the green is 22.23%.
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Add. Write your answer as a fraction or as a whole or mixed number.
10 1/2 + 3 2/3
Answers
3 2/3 = 3 4/6
10 3/6+ 3 4/6 = 13 7/6 = 14 1/6
What is the y - intercept of he line with the equation: y=2x+9
Answers
Answer:
Step-by-step explanation:
The y -intercept Is: b=9 or (0,9)
help...................................................
Answers
5 is the correct scale factor
This is because there are 5 little segments that go from C to the larger point in the top right corner. We need 5 pieces of segment CB to get segment CB' where B' is that top right corner point.
Put another way: If the distance from C to B is 1 unit, then the distance from C to B' is 5 units. This shows the distance has multiplied by 5, and that's the scale factor.
What is the distance between points J and K?
Please, show your work.
Answers
Answer:
the answer would be 12 units.
Step-by-step explanation:
now you may count the number line and find that you find 6 units, BUT you need to check the values. You can simply do an equation 4 - - 8 = 12 or you can do 6 *2 which is 12.
Find the indicated measure. Round to the nearest tenth.
Find the diameter of a circle with an area of 79 square feet.
Answers
The diameter of circle is 10.0 feet.
We are given the area of circle. The formula of area with respect to diameter is as follows -
Area = 1/4πd², where d represents diameter of circle.
Taking the value of π as 3.14.
Rewriting the equation according to diameter -
d² = (area×4)÷π
Now, keep the values in formula to find the diameter of circle.
d² = (79×4)÷3.14
Performing multiplication on the Right hand side of the equation
d² = 316÷3.14
Performing division on the Right hand side of the equation
d² = 100.6
d = √100.6
Taking square root on the Right hand side of the equation
d = 10.03 feet
Rounding to nearest tenth -
d = 10.0 feet
Hence, the diameter of circle is 10.0 feet.
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