Answer:
10980 is the correct answer
Tap A takes 6 minutes to fill a tank and tap b takes 9 minutes to fill the same tank. Pipe C can empty the tank in 15 minutes. How long will it take to fill the tank if the pipe is in use when both taps are turned on
Answer: approximately 4.7368 minutes
This decimal value is the result of computing 90/19
=====================================================
Explanation:
Let's find the LCM of 6, 9 and 15. First, list out the prime factorization of each value.
6 = 2*39 = 3*315 = 3*5The unique prime factors are 2, 3, and 5. We have 2 show up at most once, 3 show up at most twice, and 5 show up at most once. The LCM is 2^1*3^2*5^1 = 2*9*5 = 18*5 = 90.
We'll use this LCM value to set up an example below.
---------------
Consider the tank to be 90 gallons. If we only use tap A, keep tap B closed, and don't open pipe C, then tap A fills the tank at a rate of 90/6 = 15 gallons per minute since it needs 6 minutes to completely fill the tank.
If we have tap B do all the work (keep tap A and pipe C closed), then the rate is 90/9 = 10 gallons per minute for this tap.
Keeping pipe C closed, the two taps A and B work together to have a combined rate of 15+10 = 25 gallons per minute.
Now we consider pipe C being opened. This drains the tank and can do so in 15 minutes (assume the taps A and B aren't open). If we're dealing with a full 90 gallon tank, then its rate is 90/15 = 6 gallons per minute.
The net rate is 25-6 = 19 gallons per minute. We can think of it as a tug of war where the taps A and B ultimately win out despite the fact that pipe C is draining the water. The two taps fill the tank faster than the pipe can drain the tank.
In other words, the tank ultimately gets filled up rather than drained out over the long run. That net speed is at 19 gallons per minute.
The amount of time needed is approximately 90/19 = 4.7368 minutes.
Side note: you can start with any size tank. It doesn't have to be 90 gallons. I picked on this value because it works cleanly with the original given numbers 6, 9 and 15.
Answer:
[tex]x=\frac{90}{19}[/tex] = 4.73 minutes
[tex]\frac{1}{6}x +\frac{1}{9}x - \frac{1}{15} x = 1[/tex]
[tex]\frac{135}{810}x +\frac{90 }{810}x - \frac{54}{810} x = 1[/tex]
[tex]\frac{171}{810}x = 1[/tex]
x = 4.73 minutes
Step-by-step explanation:
can someone please answer this for me -11p + 11p
Answer:
ooouuhhggg
Step-by-step explanation:
iiiiijhhhjjjhhjjjnnnnnnjjj
Answer:
0
Step-by-step explanation:
-11p + 11p
=> 0
Write 4 3/7 as a decimal.
Enter your answer as a decimal rounded to the nearest hundredth, like this: 3.14
Answer:
4.43
Step-by-step explanation:
4 3/7
~Turn into an improper fraction
31/7
~Divide
4.42885714286...
~Round
4.43
Best of Luck!
just need help with math before its due tomarrow
Answer:
(6_4)(6+4)
6(6+4)-4(6+4)
36+24-24-16
36-16
solve the following pair of simultaneous equations. you can use any 3 methods. 2x- y= 5, x+2y=5.
Answer:
2x-y= 5, x + 2y=5
Step-by-step explanation:
x = 3, y = 1
a) When I add 8 the answer is 30.
Answer:
if we add 8 then the answer will be 30"
because
if 22is added 8 then it became 30
22+8= 30
simple
An ant walk about 3 inches per second how many miles per day could an ant travel if it walked without a break?
Answer:
Step-by-step explanation:
45/11 miles per day or ~4.091 miles per day
Step-by-step explanation:
3 inches per second
24 hours in a day
60 minutes in 1 hour
60 seconds in 1 minute
Amount of inches per minute: 3 x 60 = 180 inches
Amount of inches per hour: 180 x 60 = 10,800 inches
Amount of inches per day 10,800 x 24 = 259,200 inches
To find the number of feet that 259,200 inches is, divide by 12.
259,200/12 = 21,600 feet per day
To find the number of miles that 21,600 feet is, divide by 5280.
21,600/5280 = 45/11 = 4.09090909091 = ~ 4.091
So, an ant could walk 45/11 miles per day or ~4.091 miles per day if it walked without taking a break.
John's family drinks
7/9 of milk a day.
How many liters do they drink in 4 days?
[tex]\frac{28}{9}[/tex] liters do they drink in 4 days.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
John's family drinks 7/9 of milk a day.
Liters do they drink in 4 days: X
Using unitary method
X = [tex]\frac{7}{9} \times4[/tex]
X = [tex]\frac{28}{9}[/tex]
[tex]\frac{28}{9}[/tex] liters do they drink in 4 days.
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the basics of geometry
Answer:
go to MME click revise gcse maths and it would say geomatry foundtion Step-by-step explanation:
Answer:
Step-by-step explanation:
point: the basic unit of geometry
line: it extends to 2 directions without any end
line Segment: it is a line but has end points eg the length of you book
(And there are a few types of lines like parallel lines and intersecting lines you can check that on You tube)
Rays: Rays are like line segments but has only 1 end point
curves: do i have to explain its just some squiggles
Polygons: polygons are shapes that are made up of straight line Segments
polygons are named based on the number of sides it has
3 sides: TRIANGLES
4 sides: QUADRILATERALS
5 sides: PENTAGONS
6sides : HEXAGONS and there are many more...
THERE WAY TOO MUCH LIKE ANGLES, INTEROR POINT, EXTEROR POINT, CIRCLES ETC sorry i can't explain that much......
Find the sum of 8a –2b + 3c and –3a +4b –3c
Answer: 5a + 2b
Step-by-step explanation:
Given
(8a - 2b + 3c) + (-3a + 4b - 3c)
Expand parentheses
=8a - 2b + 3c - 3a + 4b - 3c
Put like terms together
=(8a - 3a) + (4b - 2b) + (3c - 3c)
Combine like terms
=5a + 2b + 0
=[tex]\boxed{5a+2b}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Use the graphical representation and algebraic reasoning to identify the key features of the graph of the function
g(x) = -f(x) + 10.
Select all the correct answers.
horizontal asymptote of y = 0
range of {y 0 < y < 00}
range of {y-oo < y < 10}
no x-intercept
y-intercept at (0,9)
horizontal asymptote of y = 10
x-intercept at (1,0)
increasing y-values
Answer:
4 answers to this question
Step-by-step explanation:
4 Answers: (#s 3, 5, 6, 7)
y-intercept at (0,9)
horizontal asymptote of y=10
x-intercept at (1,0)
range of {y|-∞<y<10}
HELP ASAP!!!
The line (y-1)=(2/3)(x+1) contains point (a,-3).
What is the value of a? Show
your work.
Answer:
-7
Step-by-step explanation:
The line (y-1)=(2/3)(x+1) contains point (a,-3)
=> (-3-1) = (⅔)(a+1)
-4 = (⅔)(a+1(
(a+1)= -4 ÷ ⅔
a + 1 = -4 × 3/2
a+ 1 = -6
a = -6-1
a = -7
The value of 'a' will be;
⇒ a = - 7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of line is,
⇒ (y - 1) = (2/3) (x + 1)
And, The point on the line = (a, - 3)
Now,
Since, The point on the line = (a, - 3)
Hence, It satisfy the equation of line.
Substitute x = a and y = - 3, we get;
⇒ (y - 1) = (2/3) (x + 1)
⇒ (- 3 - 1) = (2/3) (a + 1)
⇒ - 4 × 3 = 2a + 2
⇒ - 12 - 2 = 2a
⇒ 2a = - 14
⇒ a = - 7
Thus, The value of a = - 7
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Which expression is equal to (x + 3)2?
A. x2 + 6
B. 2 +9
C. x2 + 6x + 9
D. 12 + 3x + 9
Answer:
C. x^2 + 6x + 9
Step-by-step explanation:
(x+3)^2
using formula (a+b)^2= a^2 + 2ab + b^2,
(x)^2 + 2(x)(3) +(3)^2
=> x^2 + 6x + 9
Answer:
A
Step-by-step explanation:
(x)×2= 2x
(3)×2=6
x2 + 6....
least common multiple of 2 and 3?i forgot how to do this completly over the summer lol
Answer:
6
Step-by-step explanation:
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 3: 3, 6, 9, 12, 15
Brainliest, please!
350 rounded to the nearest hundred is
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{350 rounded to the nearest hundred is...}[/tex]
[tex]\huge\text{Rounding is basically is the}\\\huge\text{approximation of the given number.}[/tex]
[tex]\huge\bullet\huge\text{ So, when you are looking at 350, you are}\\\huge\text{asking yourself is it closer to 300 or 400.}\\\huge\text{If you are looking at the number correctly}\\\huge\text{you would see it is closer to \underline{\underline{400}} when you}\\\huge\text{rounded to NEAREST HUNDRED.}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your ANSWER/RESULT is: \bf 400}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function.
Answer:
-2
Step-by-step explanation:
when x=0 y=-2... it is a decline
Pls help fast, with steps
Answer:
answer is D
Step-by-step explanation:
PAR = 25
RPA= 25
PRA= 130
PRQ = 180- 130 = 50
PRQ =PQR = 50
X= 180 +(50 +50) =80
Change the following fraction to a decimal. 8 4/5 = ?
Answer:
The answer is 8.8
Step-by-step explanation:
4/5 x 20/20 = 80/100
80/100 = .8
Step-by-step explanation:
[tex]8 + \frac{4}{5} = \frac{40 + 4}{5} \\ = \frac{44}{5} = 8.8 \\ thank \: you[/tex]
Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is one half the price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket.
one halfx + 8 = 15
one halfx − 8 = 15
one halfx + 15 = 8
one halfx − 15 = 8
Answer:
Option 1 is the correct equation.
Step-by-step explanation:
x = price of the student ticket.
One half price of x + $8 = adult ticket price ($15)
Answer:
The correct answer is A
Because taking the student ticket to be x
one half of x + 8 =15
it takes 2 hours to bake 8 sheets of cookies. if Brandom and his mother boeing baking at 4:00 pm, when will they finish baking the cookies
Rachel’s free-throw average for basketball is 60%. How many times do you think she will make a free-throw in her next 50 tries?
Answer:
Rachel will make 30 free-throws!
Step-by-step explanation:
Hello!
I came up with this solution with some easy mental math! If you weren't aware, 60% of 50 is a whole number! Meaning that 60% of 50 is 30. You could even double 50 to make it 100, everyone knows that dealing with percentages with the number 100 make them a whole lot easier!
Back to what I was saying, if you used 100, you would also have to take 60% of 100, which is 60. And then have to divide 60 by 2 because you doubled the 50! Giving you 30 free-throws, which is the correct answer!
Hope this helped! Let me know if you have any further questions! :)
The lifeguard on duty gets 10 minutes a break for every two hours how much break time does the lifeguard get during a six hour shift
Answer:
The lifeguard would get a 30 minute break.
Step-by-step explanation:
6 hours ÷ 2 hours = 3
3 x 10 = 30 minutes
A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 7%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
area after 8 years is 2156km²
Step-by-step explanation:
Area of forest=4900 km²
decrease in area in 1 year=4900km² × 7%
decrease in area in 1 year= 343km²
decrease area in 8 years=343km² × 8
=2744km²
Remaining area= (4900-2744)km²
=2156km²
Note:If you have any question about it please ask.
The area of a square is 100 m². What is its perimeter?
Answer:
hope it helps you.........
Answer:
correct me if I'm wrong but 40?
Find the value of the expression when x = 4 and y = 6.
8x + 2y + 3
Answer:
47
Step-by-step explanation:
8(4) + 2(6) + 3 = 47
32 + 12 + 3 = 47
please help ill mark brainliest and add explanation too pleas
Step-by-step explanation:
In A,
length=3units
width=2 units
area=length×width
area=3×2 sq.units
area=6 sq.units
In B,
length=1unit
width=4units
area=length × width
area=1unit × 4units
area= 4 sq.units
Note:if you need to ask any question please let me know.
The letters a and b represent nonzero constants solve
ax-b=12.5 for x
Answer:
x=(12.5+b)/a
Step-by-step explanation:
ax-b=12.5
ax=12.5+b
x=(12.5+b)/a
The solution for the equation ax - b = 12.5 for x is:
x = (12.5 + b) / a
We have,
To solve the equation ax - b = 12.5 for x, follow these steps:
- Add b to both sides of the equation:
ax - b + b = 12.5 + b
This simplifies to:
ax = 12.5 + b
- Divide both sides of the equation by "a":
(ax) / a = (12.5 + b) / a
Simplify:
x = (12.5 + b) / a
Thus,
The solution for the equation ax - b = 12.5 for x is:
x = (12.5 + b) / a
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find the length indicated.
Answer:
none
Step-by-step explanation:
Can someone help me
Answer:
first statement
Step-by-step explanation:
64 < 77 < 81 , then
[tex]\sqrt{64}[/tex] < [tex]\sqrt{77}[/tex] < [tex]\sqrt{81}[/tex] , that is
8 < [tex]\sqrt{77}[/tex] < 9
Thus [tex]\sqrt{77[/tex] is to the left of 9 on the number line
Answer:
OPTION A IS CORRECT.
BRAINLIST PLEASE!!!
Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].
Answer:
2
Step-by-step explanation:
The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.
[tex]\frac{f(8) - f(2)}{8 - 2}[/tex]
[tex]f(8) = 2(8) - 8 = 16 - 8 = 8[/tex]
[tex]f(2) = 2(2) - 8 = 4 - 8 = -4[/tex]
[tex]\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2[/tex]
