In a period of 2 1/4 hours, 5 1/2 gallons of water leaked from a water tank. How much water did the tank lose per hour? What division problem represents the problem? A. 9/4÷11/2 B. 4/9÷2/11 C. 11/2÷9/4 D. -11/2÷9/4
Answers
Answer:
C. 11/2÷9/4
Step-by-step explanation:
This question can be solved using a rule of three.
In \(2 + \frac{1}{4} = \frac{2*4 + 1}{4} = \frac{9}{4}\) hours, the tank loses \(5 + \frac{1}[2} = \frac{5*2 + 1}{2} = \frac{11}{2}\) gallons. How much does it lose in an hour?
1 hour - x gallons
9/4 hours - 11/2 gallons
So
\(\frac{9x}{4} = \frac{11}{2}\)
\(x = \frac{\frac{11}{2}}{\frac{9}{4}}\)
So the correct answer is C.
Answer: D -11/2 / 9/4 because the water is spilling out.
Step-by-step explanation:
Related Questions
please hurry<3 thank youuuu
Answers
Answer:
−
10.5
Step-by-step explanation:
10d - 11 (- 18 +14d)
Please show your work!
Answers
Answer:-1530d+1980
Step-by-step explanation:
What price would you pay for each bond if you purchased one of them today? (remember the face value is $1000. ) a. Abc: $1047. 50 xyz: $1005. 00 b. Abc: $1104. 75 xyz: $1100. 50 c. Abc: $872 xyz: $983 d. Abc: $750 xyz: $840.
Answers
Answer:
Step-by-step explanation:
answer is A
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.
Answers
The stem-and-leaf plot of the given data is attached.
A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:
The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.Learn more about Stem-and-leaf plot:
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What is 820 milliliters equal to in liters?
Answers
Answer:
0.82 L
Step-by-step explanation:
Answer: 0.82 liters
Step-by-step explanation:
After Verifying that the functions 1 2 satisfy the corresponding homogeneous equation of the given equation, find a particular solution of the non-homogeneous equation and then the general solution of the equation .
x²y'' + xy' + (x² - 0.25 ) y = 3x √xsinx
x> 0
y1(x) = sin (x) / √x
y2(x) = cos (x) / √x
Answers
To find a particular solution of the non-homogeneous equation and the general solution of the equation, we can use the method of variation of parameters.
First, let's find the Wronskian of the homogeneous solutions y1(x) and y2(x):
W(y1, y2) = | y1 y2 |
| y1' y2' |
We have y1(x) = sin(x) / √x and y2(x) = cos(x) / √x. Differentiating these functions, we get:
y1'(x) = (cos(x) / √x - sin(x) / (2√x^3))
y2'(x) = (-sin(x) / √x - cos(x) / (2√x^3))
Substituting these values into the Wronskian:
W(y1, y2) = | sin(x) / √x cos(x) / √x |
| (cos(x) / √x - sin(x) / (2√x^3)) (-sin(x) / √x - cos(x) / (2√x^3)) |
Expanding the determinant:
W(y1, y2) = (sin(x) / √x) * (-sin(x) / √x - cos(x) / (2√x^3)) - (cos(x) / √x) * (cos(x) / √x - sin(x) / (2√x^3))
Simplifying:
W(y1, y2) = -1 / (2√x)
Now, we can find the particular solution using the variation of parameters formula:
y_p(x) = -y1(x) * ∫(y2(x) * g(x)) / W(y1, y2) dx + y2(x) * ∫(y1(x) * g(x)) / W(y1, y2) dx
Here, g(x) = 3x√xsin(x). Substituting the values:
y_p(x) = -((sin(x) / √x) * ∫((3x√xsin(x)) * (-1 / (2√x))) dx + (cos(x) / √x) * ∫((3x√xsin(x)) / (2√x)) dx
Simplifying the integrals:
y_p(x) = -(∫(-3sin^2(x)) dx) + (∫(3xcos(x)sin(x)) dx)
Integrating:
y_p(x) = 3/2 (xsin^2(x) - cos^2(x)) - 3/2 (xcos^2(x) + sin^2(x)) + C
Simplifying:
y_p(x) = 3x(sin^2(x) - cos^2(x)) + C
The general solution of the equation is given by the sum of the homogeneous solutions and the particular solution:
y(x) = C1 * (sin(x) / √x) + C2 * (cos(x) / √x) + 3x(sin^2(x) - cos^2(x)) + C
where C1, C2, and C are arbitrary constants.
Write each equation. "Andre has some toy cars. Cameron has twice as many cars as Andre. Cameron has 28 cars."
Answers
C= cameron,
A=C(2)
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.
Answers
Probability that exactly 10 flights arrive on time is 53.33%.
Given that,
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best rate with 80% of its flights arriving on time.
Total number flights in sample = 15
Probability that exactly 10 flights arrive on time is,
P = 10/15 × 80%
= 0.5333
= 53.33%
Hence the required probability is 53.33%.
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Work out the perimeter of a semicircle with radius 3cm.
give your answer in terms of pi
Answers
Answer:
(6 + 6π) cm
Step-by-step explanation:
2π(3) / 2 + 3x2
= (6 + 6π) cm
Suppose a life insurance company sells a
$280,000
1-year term life insurance policy to a
20-year-old
female for
$270.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.999544.
Compute and interpret the expected value of this policy to the insurance company.
Answers
Answer:
$142.32, profit on sale of the policy
Step-by-step explanation:
You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.
CostThe insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...
0.000456 × $280,000 = $127.68
ProfitThe company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...
$270 -127.68 = $142.32
The expected value of the policy to the company is $142.32.
This represents its profit from sale of the policy.
__
Additional comment
Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."
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Three students attempt to define the geometric object called an angle.
Can you match the teacher's comments to the definitions?
Answers
The explanation of the geometric shape known as an angle is made by three students. The matching answer is 1-1, 2-2,3-3.
Given that,
The explanation of the geometric shape known as an angle is made by three students.
We have to match the definitions to the teacher's comments.
Step1: definition of angle
Step2: teachers comments
1- Ruby's definition: The amount of turn between two straight lines that have a common vertex.
1-Bingo! you got it.
2-Shriya's definition: Two lines that come together.
2- Were you thinking of intersecting lines?
3- Abhishek's definition: A figure composed of two rays sharing a common endpoint. The common endpoint is known as vertex.
3-You seem to be getting at the idea of the measure of an angle,
not the definition of the angle itself.
Therefore, The matching answer is 1-1, 2-2,3-3.
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Espen predicted that he would sell 32 baseball caps, but he actually sold 29 baseball caps. Which expression would find
the percent error? Use the table below to help answer the question.
Percent Error
Item
Approximate value
32
Error
Ratio
Percent error
Exact value
29
Absolute error
3
3
Baseball
caps
O
o (100)
3
o
Mark this and retum
Save and Exit
Next
Submit
Answers
Answer:
its B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A triangular prism has a height of 6 meters and a triangular base with the following dimensions. What is the value of B ? 54 m 2 48 m 2 96 m 2 30 m 2
Answers
Answer:
96m
Step-by-step explanation:
Answer:
The correct answer is 48 m.
Step-by-step explanation:
To find our answer we will first multiply the base times height. 16 is the base and 6 is the height. Therefore, 16 x 6 = 96. Now we are going to multiply 1/2 or 0.5 by 96 and we get 48m.
I also had a quiz on this and I got it correct after I checked my work. Have a good one mate
solve the equation
f(n)=10⋅2n for n = 5
Answers
Answer:
f(5) = 100
Step-by-step explanation:
f(n) = 10•2n for n = 5
for n = 5 means we will plug in 5 for every instance of n.
f(5) = 10•2(5)
Multiply.
f(5) = 10•10
Multiply.
f(5) = 100
Hope this helps!
What is the slope of the line graphed below? (3,3) (0,-6)
Answers
Answer:
m = 3
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
Points (3,3) (0,-6)
We see the y decrease by 9, and the x decrease by 3, so the slope of the line is
m = -9 / - 3 = 3
The equation c = 0.20t +3.50 shows the relationship between the charge, c. in dollars for renting a kayak for t minutes
What is the meaning of the slope?
O Every 0.2 minutes you have to pay $1.
You have to pay $0.20 up front before sing the kayak at all.
For $1.00. you can rent a kayak for 20 minutes,
It costs $0.20 per minute to rent the kayak
Answers
Answer:
O It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
c = 0.20t + 3.50→ $3.50 is the fixed cost→ $0.20 is the rate per minute use of the kayakOption 4Answer:
It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
The equation is a linear equation in the form y = mx + b
x is the independent variabley is the dependent variablem is the slope/gradient and tells us the rate of changeb is the y-intercept and tells us the initial value (when x = 0)Given equation: c = 0.20t + 3.50
Therefore,
t is time (in minutes) and is the dependent variable.c is the total charge (in dollars) and is the independent variable.$0.20 is the slope (rate of change) and tells us that the charge (c) increases by this amount for every increase of 1 unit of the value of t (1 minute).$3.50 is the initial charge and is not dependent on the value of t.Therefore, the meaning of the slope is:
It costs $0.20 per minute to rent the kayak
Customers at the gym pay a membership fee to join and then a fee for
each class they attend. Here is a graph that represents the situation.
1. What is the slope?
F. What is the y-intercept?
Answers
Answer:
Slope = 20
y-intercept = 60
Step-by-step explanation:
Slope formula is given as \( m = \frac{y_2 - y_1}{x_2 - x_1} \)
Pick two points on the line and use their coordinates. Let's pick (1, 80) and (2, 100).
Let,
\( (1, 80) = (x_1, y_1) \)
\( (2, 100) = (x_2, y_2) \)
Plug the values above into the formula for slope:
\( m = \frac{100 - 80}{2 - 1} = \frac{20}{1}} = 20 \)
Slope of the graph is 20.
The y-intercept is the point where the line intercepts the y-axis. Thus, y-intercept = 60.
A right triangle has a leg length of square root of 6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle. 3 36 square root of 39 square root of 43
Answers
Answer:
√43
Step-by-step explanation:
Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.
a = √6 and c = 49
√6^2 + b^2 = 49
6 + b^2 = 49
b^2 = 43
b = √43
Answer:
The square root of 43
Step-by-step explanation:
I did this in class the other day
What is the area of the regular hexagon ABCEF? Explain your reasoning.
Answers
Answer:
1350\(\sqrt{3}\) units²
Step-by-step explanation:
The regular hexagon consists of 6 equiangular triangles
The area (A) of a equilateral triangle is calculated as
A = \(\frac{s^2\sqrt{3} }{4}\) ( s is the side length )
Here s = 30 , then
A = \(\frac{30^2\sqrt{3} }{4}\) = \(\frac{900\sqrt{3} }{4}\) = 225\(\sqrt{3}\) units²
Thus the area of the regular hexagon is
area = 6 × 225\(\sqrt{3}\)
= 1350\(\sqrt{3}\) units² ← exact value
≈ 2338.3 units² ( to 1 dec. place )
ILL GIVE BRAINLY What is the surface area of the cube?
Drag and drop the correct surface area to match the cube.
Answers
Answer:
Below
Step-by-step explanation:
A cube has SIX sides of equal area
each side has area = L x W and L and W are the same = 4.5 m
so: Area = six X ( 4.5 X 4.5) = 6 * 4.5 * 4.5 = 121.5 m^2
Answer:
Hope the picture will help you...
There are 40 students in a class. 4 of them are absent, then find the
percent of present students.
Please help by writing down the steps as well.
Answers
Answer:
90%
Step-by-step explanation:
present students:40-4=36
36/40*100
=90%
Answer:
90% are present
Step-by-step explanation:
40-4=36
36 are present
36/40 = x/100
36x100=3600
3600/40=90
answer: 90/100 = 90%
Amy regularly works 25 hours per week at Pook's Dry Cleaners from Monday through Friday. She earns $15 per hour and receives double time pay for working on Sundays. Next week she will work her regular 25 weekday hours and an additional 8 hours on Sunday. What will her total pay be for the week? (Enter your answer without commas or $)
Answers
15.50 x 20 = $310
31 x 8 = $248
310 + 248 = $558
Her total pay for the week is $558.
So Glad I Could Help!
She works 25 hours a week and earns 15 dollars each hour, so she earns 25 x 15 dollars a week, which is 375 dollars, since her regular hours are weekday hours, which are not on sunday.
If she works an additional 8 hours on Sunday, however, she will make double pay, so she will earn 30 dollars an hour. 30 x 8 = 240.
240 + 375 = 615 dollars.
The answer is 615.
Hope this helps.
3. Penny's family decided to go to the Splash Park.
They purchased two adult tickets and two child
tickets. The adult tickets were 1į times the price
of the child tickets and the total cost for all four
tickets was $85. What was the cost of each type
of ticket?
Answers
Answer:
21.25
Step-by-step explanation:
because 85$ divided by the 4 tickets is 21.25
I got zero, but that’s wrong.
I multiplied-25,000 x 40% and 25,000 x 25% and 40,000 x 35%
They all were zero. Can you help me figure out where I went wrong?
Answers
Answer:
Expected value is 4,000
Step-by-step explanation:
To find expected value ⇒ multiply the value by it's probability
40% × ( -25,000 ) = - 10,000
Breaking means neither add nor subtract a given amount
20% × 0 = 0
35% × 40,000 = 14,000
∴ Expected value = -10,000 + 14,000 = 4,000
LOSS: -10,000
BREAK EVEN: 0
WIN: 14,000
Expected value is 4,000
hope this helps....
This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Answers
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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Colin’s piano lesson is 45 minutes, or Three-fourths of an hour, long. If he practices 6 different songs and spends an equal amount of time on each song, what fraction of an hour does he spend practicing each song?
Answers
Answer:
Colin spends 1/8 of an hour practicing each song
Step-by-step explanation:
Colin's piano lesson is 3/4 of an hour, long.
In that period, he practices 6 different songs, spending an equal amount of time on each one.
This means that each song gets the sixth part of the lesson duration. The fraction that expresses that amount is:
\(\displaystyle \frac{\frac{3}{4}}{6}=\frac{3}{24}=\frac{1}{8}\)
Colin spends 1/8 of an hour practicing each song
Answer:
1/8
Step-by-step explanation:
-7y+10x=140
7y+7x=-21
Solve for y
Answers
Answer:
-10
Step-by-step explanation:
add these two equations together to get rid of y. This gives you
x = 7
then plug x back into either equation and you can solve for y !
Pls answer the question
Answers
Answer:
b
Step-by-step explanation:
each always has a x
Angle addition with relationship between angles
Answers
Answer:
When an angle is divided into smaller angles, the sum of the smaller angles will be equal to the whole angle.
You might need: CalculatorZA=Round your answer to the nearest hundredth.СоMY?ProPro6TeaB4
Answers
∠A = 41.81°
Explanation:To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:
opposite = side opposite the angle = 4
hypotenuse = 6
adjacent = base = AC = ?
Since we have been given the opposite and the hypotenuse, we would use the sine ratio:
Sin A = opposite/hypotenuse
Sin A = 4/6
sin A = 0.6667
\(A=sin^{-1}(0.6667)\)A = 41.8129 degrees
To the nearest hundredth, ∠A = 41.81°