The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 7 fl oz per minute. How fast was the pipe leaking in gallons per hour? PLLLLLLLLLLLLZZZZZZZZZZZ
Answer:
It leaks 420 gallons per hour.
Step-by-step explanation:
7g/m
?/h
7/1 = x/60
(Cross Multiplication)
7 × 60 = x × 1
420 = x
It leaks 420 gallons per hour.
Answer:
3.28 gallons per hour
Step-by-step explanation:
Given that the pipe is leaking at a rate of 7 fluid ounce per minute, and that we need to determine the equivalent leaking rate in gallons per hour. It is important to establish the necessary conversion rates of fluid ounces (fl oz) to gallons (gal), and minutes to an hour.
Conversion rate for fluid ounces (fl oz) to 1 gallon (gal): 128 fl oz = 1 galConversion rate of minutes to hour: 60 minutes = 1 hour.Now that we have established the conversion rates, we can set up the following mathematical operations that will allow us to convert the leaking rate from fluid ounces per minute, to gallons per hour. We can express the conversion process in fraction form:
[tex](\frac{7 fl. oz.}{min})[/tex] × [tex](\frac{1 gal}{128 fl. oz.})[/tex] × [tex](\frac{60 min}{1 hr})[/tex]
Start by multiplying the first two fractions together:
[tex](\frac{7 fl. oz.}{min})[/tex] × [tex](\frac{1 gal}{128 fl. oz.})[/tex] = 0.546875 gallons per minute, or 0.546875 gal/min
Next, multiply 0.546875 gal/min by 60 min/hr. This cancels out the "minute" as a unit of measurement, leaving you with gal/hr.
[tex](\frac{0.546875 gal}{min})[/tex] × [tex](\frac{60 min}{1 hr})[/tex] = 3.28125 gallons per hour, or 3.28 gal/hr.
Therefore, the pipe is leaking at a rate of 3.28 gallons per hour.
Calcula el área de un círculo cuyo diámetro mide 4 metros.
Answer:
12.56 m²
Step-by-step explanation:
Circle with diameter 4 has a radius of 2
Area of Circle = πr²
Area of Circle = 3.14(2²)
Area of Circle = 12.56
El círculo de diámetro 4 tiene un radio de 2
Área del círculo = πr²
Área del círculo = 3,14 (2²)
Área del círculo = 12.56
-Chetan K
Can someone help me please
Answer:
52.7%
Step-by-step explanation:
If I am correct it means to round the percentage, so it would be 58% if you are rounding it
the length of a rectangle in (3+√7) and it's with is (1+2√7). what is the area of the rectangle? what is the perimeter of the rectangle
Answer:
Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52
Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87
Mr. Jameson has an apple orchard on his farm. He hires his daughter, Rachel, to pick apples and offers her two payment options:
Option A: $1.50 per bushel of apples picked
Option B: 1 cent for picking one bushel, 3 cents for picking two bushels, 9 cents for picking three bushels, and so on, with the amount of money tripling for each additional bushel picked
HELP ASAP
Answer:
Part A: f(x) = 1.50x/g(x) = 0.01(3)^x-1
Part B: Option A: $9
Part C: Option B: $1,771.47
Part D: The eighth bushel picked is when the exponential function exceeds the linear function.
Step-by-step explanation:
Part A: Write a function to model each option.
Option A: f(x) = 1.50x, where x is the number of bushels of apples picked
Option B: g(x) = 0.01(3)^x-1, where x is the number of bushels of apples picked.
--------------------------------------------------------------------------------------------------------------
Part B: If Rachel picks six bushels of apples, which option should she choose?
Option A: $9 Option B: $2.43
Option A is better since what the number is would be higher.
1.50x6 = 9. If I were to do the same for option b, option a would end up higher.
--------------------------------------------------------------------------------------------------------------
Part C: If Rachel picks twelve bushels of apples, which option should she choose?
Option A: $18 Option B: $1,771.47
After calculating both of them by multiplying by 12 for each, option B ends up to be much better.
--------------------------------------------------------------------------------------------------------------
Part D: How many bushels of apples does Lucy pick to make option B better for her than option A?
The eighth bushel picked is when the exponential function exceeds the linear function.
Knowing that a squence (a of n) is monotonically increasing and it's subsequence is convergent to a value A∈lR (for any n1 How do I prove that (a of n) converges to A aswell.
Suppose {xn} is increasing and has a subsequence {xnk} which converges to L. We will prove that {xn} itself converges to L.
For any ϵ>0, we want to find an integer Nϵ such that |xn−L|≤ϵ for any n≥Nϵ.
Since {xnk} is increasing and converges to L, we can find kϵ such that for any k≥kϵ, −ϵ<xnk−L<0.
Take Nϵ=nkϵ, then for any n≥Nϵ, xnkϵ≤xn≤L, so −ϵ≤xnkϵ−L≤xn−L≤0.
Similarly, we can prove when {xn} is decreasing
A school wants to investigate the amount of exercise students do.
There are 1200 students at the school.
a Suggest a sensible number of students to be sampled.
Answer:
100-200 Step-by-step explanation: yes 600 is half the students most of them are going to be in class
Which statement is true ?
Answer:
d
Step-by-step explanation:
plan 2 grows exponentially so it grows at a faster rate than plan 1, even though plan 1 starts with 100 members
Gerald had scores of 83, 95, 92, and 98 on four exams in his algebra class. What score will he need on his fifth exam to have an overall average of 937 (All exams have a
maximum of 100 points.)
A collection of 77 quarters and dimes is worth $12.50. How many quarters are in the collection? PLS HELP ILL GIVE YOU BRAINLEST ANSWER
Answer:
32
Step-by-step explanation:
77 quarters and dimes
q + d = 77
subtract q from both sides
d = 77 - q
---------------------------
A collection of quarters and dimes is worth $12.50 (1250 cents)
25q + 10d = 1250
substitute for d
25q + 10(77 - q) = 1250
distribute
25q + 770 - 10q = 1250
Combine like terms
15q + 770 = 1250
subtract 770 from both sides
15q = 480
divide both sides by 15
q = 32
If 22 is added to a number and the sum is divided by 2, the result is 6 times a number. Find the number
Answer:
The number is 2
Step-by-step explanation:
(22+2)/2=12
6*2=12
May you please give brainliest?
rlly quick what's the answer to this?
Answer:
4, which is A
Step-by-step explanation:
Answer:
first we divide 256 divided by 16 =
16
then we square root it to get
4(a)
Hope This Helps!!!
Sociologists studying social mobility in the U.S. find that the probability that someone who began their career in the bottom 10% of earnings remains in the bottom 10% fifteen years later is 0.59. What is the probability that such a person moves to one of the higher income classes fifteen years later? (Use decimal notation. Give your answer as an exact number.)
probability:
Using probability of complementary events, it is found that there is a 0.41 probability that such a person moves to one of the higher income classes fifteen years later.
When two events are complementary, the sum of their probabilities are 1.
In this problem, either a person moves to a higher income class or they do not, hence, the events are complementary.
0.59 probability that a person does not move to a higher class.Hence, 1 - 0.59 = 0.41 probability that such a person moves to one of the higher income classes fifteen years later.A similar problem is given at https://brainly.com/question/24084986
What number is 133% of 200
Rewrite 133% as a decimal by dividing by 100:
133% = 1.33
Now multiply:
200 x 1.33 = 266
Answer: 266
133% of 200 = 266
Explanation:133 of 200 can be written as:
133/200
To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100
Multiply both numerator & denominator by 100 Therefore, the answer is 66.5%If you are using a calculator, simply enter 133÷200×100 which will give you 66.5 as the answer and as we know 66.5 is also known as 226.
source:
https://answers.everydaycalculation.com/percent-is/133-200
no link fast but righ and if you get the answer right can you help me with other question
Answer:
12 inches
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
113.04 = 1/3*3.14 ( 3)^2 h
113.04 = 9.42 h
Divide each side by 9.42
113.04/9.42 = h
12 = h
12 inches
Answer:
Height = 12 in
Step-by-step explanation:
Volume Cone = 1/3(πr²h)
113.04 = 1/3(3.14)(3²)(h) [tex]\longmapsto[/tex] Note that the 1/3 and 9 simplify
113.04 = 3.14(h)(3)
37.68 = 3.14(h)
h = 12
-Chetan K
6. do Full body scan, Part II. The table below summarizes a data set we first encountered
in Exercise 6.32 regarding views on full-body scans and political affiliation. The differences in
each political group may be due to chance. Complete the following computations under the null
hypothesis of independence between an individual's party affiliation and his support of full-body
scans. It may be useful to first add on an extra column for row totals before proceeding with the
computations.
Party Affiliation
Republican Democrat Independent
Should
264
299
351
Answer Should not
38
55
77
Don't know/No answer 16
15
22
Total
318
369
450
(a) How many Republicans would you expect to not support the use of full-body scans?
(b) How many Democrats would you expect to support the use of full-body scans?
(c) How many Independents would you expect to not know or not answer?
Using the independence between an individual's party affiliation and his support of full-body scans, it is found that:
a) 57 Republicans would be expected to not support the use of full-body scans.
b) 305 Democrats would be expected to support the use of full-body scans.
c) 18 Independents would be expected to not know or not answer.
The independence between an individual's party affiliation and his support of full-body scans means that no matter the political party, the proportions for each option would be the same.
In the sample, there are 318 + 369 + 450 = 1137 people.
Item a:
38 + 55 + 77 = 170 people do not support the use of full-body scans.They should be equally divided between parties, hence:[tex]\frac{170}{3} = 56.67[/tex]
Rounding, 57 Republicans would be expected to not support the use of full-body scans.
Item b:
264 + 299 + 351 = 914 people support the use of full-body scans, hence:
[tex]\frac{914}{3} = 304.67[/tex]
Rounding, 305 Democrats would be expected to support the use of full-body scans.
Item c:
16 + 15 + 22 = 53 people do not know or do not answer, hence:
[tex]\frac{53}{3} = 17.67[/tex]
Rounding, 18 Independents would be expected to not know or not answer.
A similar problem is given at https://brainly.com/question/24372153
Which situation represents a proportional relationship?
A) The cost of purchasing a basket of apples for $2.00 per pound plus $4.00 for the basket
B) The cost of purchasing apples for $2.25 per box of apples with a delivery charge of $5.00.
C)The cost of purchasing apples for $2.75 per pound with a coupon for $2.00 off the total cost.
D) The cost of purchasing apples for $2.50 per pound plus a shipping fee of $0.15 per pound.
PLEASE HELP MEE ILL GIVE OUT BRAINLIEST
Answer:
D
Step-by-step explanation:
The circumference of a circle is 240 meters. What is the approximate
radius of the circle? (Use 3.14 for 7)
A) 9 meters
B) 38 meters
C) 76 meters
D) 153 meters
what is the probability of a person randomly selecting an apple pie, eating it, then selecting another apple pie
Answer:
if its me then i will bye the store. but the answer is 50%
Step-by-step explanation:
What is the common difference in the arithmetic sequence 13, 26, 39, 52, 65?
They all have a difference of 13.
So each time 13 is added to get the next number.
lulah is buying beach balls for her beach party. each package contains 6 beach balls
Answer:
what is the question where is the rest of the equation
Step-by-step explanation:
if you respond I will give you the right answer but hope you have a great rest of your night :)❤
45x7
what is 45x7
cause I dont know anymore
Answer:
315
Step-by-step explanation:
Solve:
8t + 2 = 8 (4) + 2 = 32 + 2 = ?
Whats the question mark?
Answer:34
Step-by-step explanation:
32+2=34
Answer:
= 34
Step-by-step explanation:
8t + 2 = (4) + 2 = 32 + 2 = 34
that's my answer , i wish my answer helps you
Q5). If A={3,4} B= {2,3,4} C={3,4,5} then find (BxB) ∩ (CxC)
Step-by-step explanation:
Given that
A = {3,4}
B = { 2,3,4}
C ={3,4,5}
BXB = {2,3,4}×{2,3,4}
⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)}
and
CXC = {3,4,5}X{3,4,5}
⇛ {(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}
Now
(BxB) n(CxC)
⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)} n
{(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}
⇛ {(3,3),(3,4),(4,3),(4,4,)}
Additional comment:
AxB is the Cartesian product of the two sets A and B on which (a,b) form a belongs to A and b belongs to BAnB is the set of Common elements in both A and BThe perimeter of the figure below is 32.6 m. Find the length of the missing side.
Answer: 4.6
Step-by-step explanation: let the missing length be x
2+2+4.8+4.8+4.8+4.8+.4.8+x=32.6
28+x=32.6
x=32.6-28
x=4.6
Which is a graph of y= 3x-1?
Answer:
y=3x-1 = x=1/3
Step-by-step explanation:
y=3x-1
to find the 0-intercept at x, underline y = 0
0=3x-1
move the variable to the left side and change its sign
-3x=-1
divide both sides of the equation by -3
x=1/3
Answer: its bottom left, because look at the axis, y axis is the vertical line, check that closely :)
can someone heelp me
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Guide}\downarrow\\\large\text{10's = X}\\\large\text{20's = XX}\\\large\text{30's = XXX}\\\large\text{40's = XL}\\\large\text{50's = L}\\\large\text{60's = LX }\\\large\text{70's = LXX}\\\large\text{80's = LXXX}\\\large\text{90's = IX}\\\large\text{100's = C}\\\large\text{200's = }CC \\\large\text{300's = CCC}\\\large\text{400's = CD}\\\large\text{500's = D}\\\large\text{600's = DC}\\\large\text{700's = DCC}\\\large\text{800's = DCCC}\\\large\text{900's = CM}\\\large\text{1,000's = M}[/tex]
[tex]\large\textsf{NOW THAT WE HAVE THAT GUIDE/INFORMATION OUT OF}\\\large\textsf{THE WAY, WE CAN ANSWER YOUR GIVEN QUESTION.}[/tex]
[tex]\huge\text{1,052 = \boxed{\rm{\bold{M}LII}}}\huge\checkmark\\\\\\\\\huge\text{450 = \boxed{\rm{\bold{CD}L}}}\huge\checkmark\\\\\\\huge\text{952 = \boxed{\rm{\bold{CM}LII}}}\huge\checkmark\\\\\\\huge\text{942 = \boxed{\rm{\bold{\bold{CM}}XLII}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
answer this question fast
At the beginning of spring, Caroline planted a small sunflower in her
backyard. When it was first planted, the sunflower was 15 inches tall.
The sunflower then began to grow at a rate of 2.5 inches per week.
How tall would the sunflower be after 10 weeks? How tall would the
sunflower be after w weeks?
Height after 10 weeks:
Answer:
After 10 weeks: 40 inches
Step-by-step explanation:
Equation
15 + 2.5w = h
15 = beginning height
2.5 = rate per week
w = weeks passed
h = total height
Two or more expressions with an Equal sign is called as Equation.15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that, At the beginning of spring, Caroline planted a small sunflower in her backyard
The initial height of the sunflower was 15 inches tall.
The sunflower then began to grow at a rate of 2.5 inches per week.
We need to find the height of the tree after 10 weeks.
15+2.5(10)
15+25
40 inches tall after 10 weeks.
the sunflower height after w weeks
15+2.5W
Hence 15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
plz help me find this answer
Answer:
C
You have to check which of numbers is the lowest.
Cheers :D