Answer:
Step-by-step explanation:
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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:
How do you write a number less than one and one-third in an algebraic expression?
Step-by-step explanation:
x<1
x<(1/3)
yes this is the answer
What does the term "cube root" mean?
[tex]\frac{x+19}{-2} = 5[/tex]
Answer this question <3
Answer:
[tex] \frac{x + 19}{ - 2} = 5 \\ x + 19 = 5 \times ( - 2) \\ x + 19 = - 10 \\ x = - 19 - 10 \\ \boxed{x = - 29 }[/tex]
The value of x is -29.What is the median for the data set? 15, 17, 8, 23, 14
15 38.5 8 15.4
Step-by-step explanation:
Add all the data and divide by 2 to get your median
The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.
What is a median?The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.
The data set is given below.
17, 8, 23, 14, 15, 38.5, 8, 15.4
Arrange the data in ascending order, then we have
8, 8, 14, 15, 15, 15.4, 17, 23, 38.5
The number of the term will be 9, then the median will be
Median = (n + 1) / 2
Median = (9 + 1) / 2
Median = 10 / 2
Median = 5th term
5th term that is 15.
The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.
More about the median link is given below.
https://brainly.com/question/300591
#SPJ2
what happened to the speed of earth rotation from equator towards the poles answer in short
Answer:
Specifically, Earth rotates faster at the Equator than it does at the poles. Earth is wider at the Equator, so to make a rotation in one 24-hour period, equatorial regions race nearly 1,600 kilometers (1,000 miles) per hour. Near the poles, Earth rotates at a sluggish 0.00008 kilometers (0.00005 miles) per hour.
Step-by-step explanation:
I hope this will help you :-)
2(x-8) + 4x = 6(x - 2) - 4
Answer:
They are equal.
Step-by-step explanation:
2(x-8)+4x=6(x-2)-4
Distribute: 2(2•x-2•8)+4x=6(6•x-6•2)-4
2x-16+4x=6x-12-4
Combine Like-Terms: (2x+4x)-16=(-12-4)6x
6x-16=6x-16
Since both sides are equivalent, all numbers are solutions.
The equation 2(x - 8) + 4x = 6(x - 2) - 4 is -16 = -16 which means that
the equation has infinitely many solutions.
We have,
Let's solve the given equation step by step:
2(x - 8) + 4x = 6(x - 2) - 4
Distribute on both sides of the equation:
2x - 16 + 4x = 6x - 12 - 4
Combine like terms on both sides:
6x - 16 = 6x - 16
Subtract 6x from both sides to isolate the constants:
-16 = -16
The equation -16 = -16 is true, which means the given equation is an identity.
This implies that the original equation is true for all values of x; there is no specific value of x that satisfies it.
Therefore,
The equation has infinitely many solutions.
Learn more about equations here:
https://brainly.com/question/17194269
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Sports Co buys soccer balls from their supplier at $20 per bat. They sell these for $40.
What percentage mark-up have they applied to soccer balls?
Answer:
buy for $20 and sell for $40
is 100% mark-up
Step-by-step explanation:
If you graph a function and it is a horizontal line, it will pass the vertical line test.
True or False
1 7/8y = 4 1/2
Seriously, math is going to kill me! Lol!
Answer:
y = 2 2/5
Step-by-step explanation:
1 7/8y = 4 1/2
Change to improper fractions
1 7/8 = (8*1+7)/8 = 15/8
4 1/2 = (2*4+1)/2 = 9/2
15/8 y = 9/2
Multiply each side by 8/15
8/15 * 15/8y = 9/2 * 8/15
y = 9/15 * 8/2
y = 3/5 *4
y = 12/5
Changing back to a mixed number
y = 2 2/5
Pls help with this function
Emergency
Answer:
rational function is the correct answer
Which equation represents a line which is parallel to the line y = -x + 5?
2x – 3y = 21
o
3x + 2y = -2
Submit Answer
2y - 3x = 2
2x + 3y = –21
PLS HELP ASAP
Answer:
2x + 3y = -21
Step-by-step explanation:
Parallel lines have same slope.
2x + 3y = -21
3y = - 2x - 21
y = [tex]y = \dfrac{-2}{3}x-\dfrac{21}{3}\\\\y=\dfrac{-2}{3}x-7[/tex]
the sum of three consecutive even integers is less than or equal to 42. find the largest set of these numbers
Answer:
13, 14, 15
Step-by-step explanation:
13 + 14 + 15 = 42
Better explanation:
n + (n+1) + (n+2) = 42
42 - 2 - 1 = 39
n + n + n = 39
3n = 39 divide by 3 to isolate n
n = 13
So it starts with 13 and goes up from there.
yeah i suck at math
Find the area of this circle please.Use 3 for pi…Thank you
Answer:
27 ft^2
Step-by-step explanation:
r = 3 ft (that's the radius)
and pi = 3
A = pi r^2
or
3 * r^2
plug in r = 3
so 3 * 3^2 = 3 * 9 = 27 ft^2
(note: 3^2 = 3 * 3. Squaring means we multiply the number by itself)
Please help
Which of the following is in the solution set of the inequality -3 > -3t+ 6?
A. -1/3
B. 1/3
1مرايا C. 4
D. -4
Answer: C) 4
==========================================================
Explanation:
Let's isolate t
-3 > -3t + 6
-3+3t > 6
3t > 6+3
3t > 9
t > 9/3
t > 3
This means any value can replace t such that it's larger than 3.
Something like t = 1/3 = 0.33 won't work since it's not larger than 3.
But something like t = 4 would work because it makes t > 3 true.
That's why choice C is the final answer.
if 2x+1 is a factor of 2x³ +x²-kx-1, find the value of k
Answer:
k=2
Step-by-step explanation:
Find the zeros of the factor
2x+1=0
x=-½
Plug x=-½ into the function and equate to 0
2(-½)³+(-½)²-k(-½)-1=0
2(-1/8)+¼+½k-1=0
-¼-1+¼+½k=0
-1+½k=0
½k=1
k=2
Step-by-step explanation:
2x+1=0
x=-1/2
Now p(x)= 2x^3 + x^2 -kx-1
subtitute value of x:
p(-1/2)= 2(-1/2)^3 + (-1/2)^2 -k(-1/2)-1
p(-1/2)=2*-1/8+1/4+k/2-1
p(-1/2)=-1/4+1/4+k/2-1
p(-1/2)=k/2-1
2x+1 is the factor of p(x) so
k/2-1=0
k/2=1
k= 2
Guided Practice
The value of a car depreciates every year. Suppose you buy a new car for $17,000, and each year its value is only 90% of what it was the previous year. Write an equation that represents the value of the car, y, after x years.
A.
y=0.90 · 17,000xy equals 0.90 times 17,000 superscript x baseline
B.
y=17,000 · 0.90xy equals 17,000 times 0.90 superscript x baseline
C.
y=17,000 · 0.10xy equals 17,000 times 0.10 superscript x baseline
B.
y=17,000 · 0.90xy equals 17,000 times 0.90 superscript x baseline
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Since the car’s initial value was $17,000, a = 17,000. Since the car retains 90% of its value each year, b = 0.90.
for the math experts again!
Answer:
985
Step-by-step explanation:
The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.
In a shooting match , the probability that Sheila hits the target is 3/7 for every shoot . If she takes 21 shots , how many times would you expect Sheila to hit the target?
Answer:
9
Step-by-step explanation:
Probability is 3/7
that 7 represent all shots and 3 represents successful ones
so,
sarah shots 21 times that means 9 of them would hit the target.
Type the correct answer in the box. Write your answer as a whole number.The radius of the base of a cylinder is 10 cm, and its height is 20 cm. Colon is used to fill the cylinder with water. The radius of the cone base is 5 cm, and its height is 10 cm. The number of times one needs to use the completely filled colon to completely fill the cylinder with water is *blank*
Answer: 24 times
Step-by-step explanation:
volume of cone: (1/3)×5^2×π×10=250π/3 cm^3
volume of cylinder: 10^2×π×20=2000π cm^3
2000π/(250π/3 )=2000π×(3/250π)=24
A company that makes barber scissors has found that the sales volume for barber scissors is directly proportional to the size of the sales force and inversely proportional to the price of the scissors. If 19440 pairs were sold in 2003, when there were 54 salespeople and the price was $20 a pair, what is the sales forecast for the upcoming year with 50 salespeople and a price of $18 a pair?
Answer:
20,000 pairs of barber scissors.
Step-by-step explanation:
The sales volume V for barber scissors is directly proportional to the size S of the sales force and inversely proportional to the price P of the scissors.
In other words, we can write that:
[tex]\displaystyle V = \frac{kS}{P}[/tex]
Where k is the constant of proportionality.
19,440 pairs were sold in 2013, when there was 54 salespeople and the price was $20 a pair. Hence, V = 19440 when S = 54 and P = 20. Substitute and determine the value of k:
[tex]\displaystyle \begin{aligned} (19440) &= \frac{k(54)}{(20)} \\ \\ 19440 &= \frac{27}{10}k \\ \\ k &=\frac{10}{27}(19440) = 7200 \end{aligned}[/tex]
Hence, our equation is:
[tex]\displaystyle V = \frac{7200S}{P}[/tex]
We want to determine the sales forecast with 50 salespeople and a price of $18 a pair. Hence, S = 50 and P = 18:
[tex]\displaystyle \begin{aligned} V&= \frac{7200(50)}{(18)} \\ \\ &= 20000\end{aligned}[/tex]
In conclusion, 20,000 pairs of barber scissors can be expected to be sold.
or x ² + y ²+ 85-104 +57.0 +25=0
d) Equation of two diameters are xty=1 and doch lyss
and mdurc- Sunit
Answer: use cymath it helps you alot when you need it for math problems
Step-by-step explanation:
4. After tennis training, Andy collects twice as many balls as Roger and five more than Maria. If Roger collected r balls, in terms of r, how many balls did:
a) Andy collect?
b) Maria collect?
c) The total number of balls collected?
Answer:
It's b I'm pretty sure.
Step-by-step explanation:
-2z² + 4z + 2z² = ?
Can someone please explain how to do this?
Answer:
4z
Step-by-step explanation:
-2z² + 4z + 2z²
Combine like terms
-2z^2 + 2z^2 +4z
0z^2 +4z
4z
[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]
Combine like. variables[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]
[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]
[tex]\\ \sf\longmapsto 0z^2+4z[/tex]
[tex]\\ \sf\longmapsto 4z[/tex]
A butterfly can fly mile in a minute. How long would it take the butterfly to
fly ſ mile?
O A + = 10 minute
O B. = minute
O c. x = minute
OD3 = minutes
SUBMIT
[tex]2 \times 3 + 45 \div 2 - 6 + 9[/tex]
Answer according to BODMAS
Answer: 31.5
Step-by-step explanation:
Answer: 31.5
Concept:
When encounter questions that ask for operation on algebraic expressions, using BODMAS or PEMDAS method would be easier. Since this question asked for using BODMAS, then it is:
BracketOrderDivisionMultiplicationAdditionSubtractionSolve:
Given
2 × 3 + 45 ÷ 2 - 6 + 9
Simplify by division
=2 × 3 + 22.5 - 6 + 9
Simplify by multiplication
=6 + 22.5 - 6 + 9
Simplify by addition
=28.5 + 9 - 6
=37.5 - 6
Simplify by subtraction
=31.5
Hope this helps!! :)
Please let me know if you have any questions
(s-4)8=8(s-4) does this demonstrate Distributive property?
Answer:
no...
8s -32 is the distributive property
Step-by-step explanation:
For the equation: – 36 – 4r = -2(-6 + 6r), what is the value of r?
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
+36 +36
----------------------------------
-4r = -12r + 48
+12r +12r
----------------------------------
8r = 48
/8 /8
----------------------------------
r = 6
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
-36 - 4r = 12 - 12r
-48 - 4r = -12r
-48 = -8r
r = 6
What is the solution of the equation?
10 points!!! plus brainlest to correct answer
3.1x + 3.3 = 12.6
a.) 3.4
b.) 5.1
c.) 3
d.) 4
Answer:
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