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Explanation:
Let's consider the tank's full capacity is 240 gallons. I'm picking this number because 12*20 = 240.
If the tank is 240 gallons, then the inlet pipe can fill it at a rate of 240/12 = 20 gallons per hour. Note after 12 hours, we have 12*20 = 240 gallons filled assuming the outlet pipe is sealed shut.
At the same time, the outlet pipe is draining at a rate of 240/20 = 12 gallons per hour. After 20 hours, the outlet pipe would drain out 12*20 = 240 gallons assuming the inlet pipe is not adding any water.
With the two pipes playing this tug-of-war battle, the inlet pipe ultimately wins because it's adding more gallons of water each hour, compared to the amount drained per hour. The net change is +20-12 = 8 gallons per hour.
This means it will take 240/8 = 30 hours to fill the tank with both pipes open.
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Another approach:
The inlet pipe can fill the tank in 12 hours, so it gets 1/12 of the job done per hour. The outlet pipe drains the tank in 20 hours, so it gets 1/20 of the job done in one hour.
The net change is 1/12 - 1/20 = 5/60 - 3/60 = 2/60 = 1/30
This means that when both pipes are open, 1/30 of the job is done per hour. By "job", I mean "filling the tank".
If x is the number of hours needed to do one full job, then we can multiply that by the unit rate (1/30) and set the result equal to 1
(rate)*(time) = 1 job
(1/30)*x = 1
x = 30*1
x = 30
It takes 30 hours to do the job with both pipes open.
NEED HELP ANSWER CORRECTLY PLS FOR A GRADE GIVING BRAINLIEST
Answer:
im pretty sure is c. but not 100 percent
1. In the expression x2, 2 is what we call
A. Base
B. Exponent
C. Multiple
Answer:
hello! if you're talking about x², then 2 is what we call: B. Exponent.
Las medidas interiores de una piscina portátil cilíndrica son 0.85 m de radio y 0.60 m de altura.
¿Cuántos litros de agua le caben?
Answer:
es ovio
Step-by-step explanation:
investiga xd xd xd
Mr. Simpson feeds his dog 1⁄2 of a cup of dog food each day. How long will 4 cups of dog food
last?
Answer: 8 days
Step-by-step explanation: Get out your calculator. Put in 1/2, did you get .5? You should've gotten .5. Now if you put in 4 / .5, then you'll get 8. Seems pretty simple I guess. Lmk if this helped you.
The dog food last for 8 days.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Mr. Simpson feeds his dog 1⁄2 of a cup of dog food each day.
Total cups of food= 4
So, 4 cups of dog food lasts
= 4/ (1/2)
= 4 x2
= 8
Hence, the dog food last for 8 days.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
Tan(x) *cos(x)*cos(x)= ( the answer should have sin only ) ASAP
This doesn't make any sense because you didn't give a value to cos like you did to sin.
Let me guess the actual question is tan(x)*cos(x) write this in term of sin.
Now from trigonometry identities, we know that tan(x)=sin(x)/cos(x)
So the expression can be written as sin(x)/cos(x)*cos(x)
which results in sin(x) as the answer, if I guessed the question wrong, sorry and please tell me in the comments what the correct question is, because this question doesn't seem complete :)
Simplify 28/184 by reducing to lowest form
A) 1/46
B) 1/7
C) 14/92
D) 7/46
Eric and Kelsey each work after school to earn money. Eric charges $10, plus an additional $4 per hour to babysit. Kelsey charges $15, plus an additional $3 per hour to rake. Eric and Kelsey work the same number of hours. Which system of equations can be used to determine how many hours, x, they need to work to earn the same amount of money, y?
Answer:
the option 3 or c is correct
Having trouble solving this
opt1.
667/1000
=66.7
hope u understand
Answer:
more like dividing the up ones with bottom ones
EX 717/1000=0.717
Condense to a single logarithm : log 12 18+3 log 12 2
Answer:
2 or [tex] \log_{12} 144 [/tex]
Step-by-step explanation:
I assume 12 is the base.
[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]
[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]
[tex] = \log_{12} (18 \times 8) [/tex]
[tex] = \log_{12} 144 [/tex]
[tex] = \log_{12} 12^2 [/tex]
[tex] = 2\log_{12} 12 [/tex]
[tex] = 2 [/tex]
The entire expression simplifies to 2, but if you need the simplest log expression, then you can use
[tex] \log_{12} 144 [/tex]
How much would a house cost today if it cost $100,000 2 years ago before a 4% increase each year in housing prices?
Answer:
100000 × 1.04 × 1.04
Step-by-step explanation:
108160
Mariana gets $15 per hour working at McDonald's and Jayvon gets $15 per hour as well. Jayvon had $50 in the
bank to start. After how many weeks will Jayvon and Mariana have the same amount of money in their bank
accounts?
Answer:
What r the options?
Step-by-step explanation:
Write the equations of the line that passes through the point 4,3) and is perpendicular to the line y=2x−4 . Write the equation in slope-intercept form.
Answer:
y = -¹/₂x + 5Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = 2x − 4 ⇒ m₁ = 2
m₁m₂ = -1
2m₂ = -1
m₂ = -¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = -¹/₂
(4, 3) ⇒ x₁ = 4, y₁ = 3
So the equation in point-slope form:
y - 3 = -¹/₂(x - 4)
Therefore:
y - 3 = -¹/₂x + 2
y = -¹/₂x + 2 + 3
y = -¹/₂x + 5La energía que posee un cuerpo que se encuentra en movimiento se conoce como energía cinética. La Física es la ciencia encargada de estudiar este fenómeno natural y, para calcularla, utiliza la fórmula. La unidad de medida de la energía es el julio (J).
Answer:
Energía cinética = 0,5 x (masa x velocidad^2).
Step-by-step explanation:
"Cinética" significa "movimiento", y por lo tanto, la energía cinética es la energía que hay en algún objeto o cuerpo porque se está moviendo. Así, esta energía puede definirse como el trabajo mecánico necesario para acelerar un objeto de masa particular desde el carril hasta el terreno en movimiento. Al recibir esta energía rápidamente, el cuerpo retiene esta energía cinética dentro de él, a menos que cambie su velocidad.
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
MN/sin72=10/sin18
MN=30.8
Photos fast charges a fee of $2.50 plus $0.05 for each picture developed. Photos quick charges a fee of $3.70 plus $0.03 for each picture developed. for how many will the total cost be the same at each shop?
The total cost will cost be the same at each shop for 60 pictures.
What is word problem?Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement.
Let for x number of picture, the total cost will cost be the same at each shop.
Total cost of x number of picture on Photos fast shop = $ (2.50 + 0.05x)
Total cost of x number of picture on Photos quick shop = $ (3.70 + 0.03x)
according to the question:
(2.50 + 0.05x) = (3.70 + 0.03x)
0.05x - 0.03x = 3.70 - 2.50
0.02x = 1.20
x = 1.20 ÷ 0.02
x = 60
Hence, for 60 number of picture, the total cost will cost be the same at each shop.
Learn more about word problem here:
brainly.com/question/29027588
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Find The Area of the parallelogram...Explain.
Answer:
8x17=136, so the area is 136 inches squared.
Step-by-step explanation:
It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hours per mile 1/8 mile per hour 8 miles per hour 1/8 hours per mile
PLEASE HELP, I DON'T UNDERSTAND THE WORDING
Answer:
C. 8 miles per hour
Step-by-step explanation:
It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour
Distance of the track = 1 mile long
The speed of an object expresses the ratio of distance moved to time taken to cover the distance.
i.e speed = [tex]\frac{distance}{time taken}[/tex]
= [tex]\frac{1}{\frac{1}{8} }[/tex]
= 8
Speed = 8 mile per hour
Therefore, Diego's bike has a speed of 8 miles per hour.
Which pair of angles is congruent?
A hexagonal prism has.............vertices.
Step-by-step explanation:
A hexagonal prism has 12 vertices.
Hope this answer will help you.
Have a great time
HELP URGENT PLEASE !!!!!!!!!!!!!!!!!!
Answer:
y=69*43
Step-by-step explanation:
this is not correct because the words are writen
Rewrite using the
distributive property.
14 + 35?
whats the answer plz
Answer 7+7+35
Step-by-step explanation:
Answer:
I think (10*1)+4+(10*3)+5??
Step-by-step explanation:
the * represents a multiplication sign btw
Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is charged as a full hour. What is the maximum number of hours Karl can rent the bike?
Help would be appreciated thanks .
Answer:
my answer was wrong and cannot help
Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. Write an equation to determine the cost of each bag of dog food
STEP IT OUT:
Answer:
7
Step-by-step explanation:
Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. How much money was each bag of the dog food?
example:
ositive numbers
numbers greater than zero
Negative Numbers
numbers less than zero
Integers
whole numbers and their opposites
Absolute Value
The distance a number is from zero on a number line. ALWAYS POSITIVE
equation
A mathematical sentence that contains an equals sign.
more examples:
9- (-9)=
18
121 / -11
-11
2(n + 5) = −2
-6
9
−9x + 1 = −80
253 + 234=
487
−15 = −4m + 5
5
8n + 7 = 31
3
Hope this helps bsf
PLZ HELP ME I NEED HELP ASAP
Answer:
75 I hope this helped and brainliest please!
Step-by-step explanation:
The equation for surface area for a square pyramid is A=a squared + 2a times the square root of (a squared over 4) + height squared. Since everything is 5 yd, the answer is 75.
an eagle flew 20 m above sea level.A fish was 35 m vertically below the eagle. find the position of the fish
Answer:
15m below sea level
Step-by-step explanation:
Given data
Distance of eagle from sea= 20m
Distance of fish from eagle = 35m
Required
The distance of the fish from below the sea level
= 35-20
= 15m
Hence the fish is 15m below sea level
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of CD player with a selling price of $110
Answer:
Total Cost = 1.05x
CD Player cost = 110*1.05 = $115.50
Step-by-step explanation:
Kimmie solves the follow expression, looking at her steps, explain her mistake.
3x (3+ 12 = 3)-4
3x (15 = 3)-4
3x5-4
15-4
11
Answer:
-6.67
Step-by-step explanation:
3x(3+12=3)-4
3x(15=3)-4
3x(15/-3)-4
3x(-5)-4
3x(20)
x=20/-3
x= -6.67
3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.
Given fg(2) = 9 and gf (1/2) = 2, find the value of a and of b.
hiii this is adddmath can anyone help with this please
Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
the number of magazine subscriptions decreases by 8% each year.If there are 225,000 this year,how many will there be 7 years from now
Answer:
I got 147107
Step-by-step explanation:
If the subscriptions decrease by 8% each year then you would times 225000 by 0.08 then take the number you get from that and subtract it from 225000. And repeat until you get to the seventh year.