Answer:
1:6
Step-by-step explanation:
=> 1500/9000
=> 1/6 [ the hcf is 1500]
=> 1:6
a theater sells adult and child tickets to its plays. 2 adult tickets and 3 child tickets cost $30.75. 3 adult tickets and 2 child tickets cost $33.00. let represent the cost of 1 adult ticket, and represent the cost of 1 child ticket. which system of equations can be used to determine the cost of each type of ticket? a. b. c. d.
The system of equations that can be used to represent the cost of each type of ticket is 2a + 3c = 30.75 and 3a + 2c = 33 .
In the question ,
it is given that ,
a theater sells adult and child tickets for its play .
the cost for 2 adult ticket and 3 child ticket is = $30.75
and the cost for 3 adult tickets and 2 child tickets = $33.00
let the cost of 1 adult ticket = "a" and
let the cost of 1 child ticket = "c"
So, According to the question ,
the equation to represent both the situation is
2a + 3c = 30.75 and
3a + 2c = 33
Therefore , The system of equations that can be used to represent the cost of each type of ticket is 2a + 3c = 30.75 and 3a + 2c = 33 .
The given question is incomplete , the complete question is
A theater sells adult and child tickets to its plays. 2 adult tickets and 3 child tickets cost $30.75. 3 adult tickets and 2 child tickets cost $33.00. let "a' represent the cost of 1 adult ticket, and "c" represent the cost of 1 child ticket . Write a system of equations can be used to determine the cost of each type of ticket ?
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Your company wants to upgrade the current production process and is evaluating all avenues available, before deciding which direction to take. One of the avenues is to introduce a conveyor into the system. a) You have been asked to calculate the following: Conveyor speed for the assembly line Plant Rate Cycle time Additional information. Each component is 0.4m in width Production requires 3000 units per day Two eight hour shifts per day 30 minutes personal time 85% anticipated performance
The conveyor speed for the assembly line is 2.67 meters per minute.
To calculate the conveyor speed for the assembly line, we need to consider the width of each component and the production requirements.
Given:
Width of each component = 0.4m
Production requirement = 3000 units per day
Number of shifts per day = 2
Shift duration = 8 hours
Personal time per shift = 30 minutes
Anticipated performance = 85%
First, let's calculate the effective production time per shift after accounting for personal time:
Shift duration = 8 hours = 8 * 60 minutes = 480 minutes
Personal time per shift = 30 minutes
Effective production time per shift = Shift duration - Personal time per shift
= 480 minutes - 30 minutes
= 450 minutes
Next, we need to determine the cycle time, which is the time required to produce one unit. To find the cycle time, we divide the effective production time per shift by the number of units required per day:
Cycle time = Effective production time per shift / Production requirement per day
= 450 minutes / 3000 units
= 0.15 minutes per unit
Finally, to calculate the conveyor speed, we need to consider the width of each component and the cycle time:
Conveyor speed = Width of each component / Cycle time
= 0.4m / 0.15 minutes per unit
= 2.67 m/minute
Therefore, the conveyor speed for the assembly line is 2.67 meters per minute.
It's important to note that this calculation assumes uniform production throughout the shift and does not account for any additional factors or constraints specific to your production process.
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a spherical balloon is being filled with helium at a rate of 2cubic inches per second. At what rate is the surface areaincreasing when there are 288pi cubic inches of helium in theballoon?
The rate at which the surface area is increasing when there are 288pi cubic inches of helium in the balloon is 4 * pi inches^2/second.
We are required to determine the rate at which the surface area of a spherical balloon is increasing when there are 288pi cubic inches of helium in the balloon.
In order to determine the rate of change for the surface area, we need to follow these steps:1. First, we need to find the radius (r) of the balloon when the volume is 288pi cubic inches. The formula for the volume (V) of a sphere is:
V = (4/3) * pi * r^3
2. Plug in the given volume and solve for r:
288pi = (4/3) * pi * r^3
(3/4) * (288) = r^3
r = 6 inches
3. Next, we need to find the formula for the surface area (A) of a sphere:
A = 4 * pi * r^2
4. Now, let's differentiate the volume formula and the surface area formula with respect to time (t) to find dV/dt and dA/dt:
dV/dt = 4 * pi * r^2 * dr/dt
dA/dt = 8 * pi * r * dr/dt
5. We are given that the balloon is being filled at a rate of 2 cubic inches per second (dV/dt = 2). We can plug this into the dV/dt formula and solve for dr/dt:
2 = 4 * pi * (6)^2 * dr/dt
dr/dt = 1/36 inches per second
6. Finally, plug in the radius (r = 6) and dr/dt into the dA/dt formula:
dA/dt = 8 * pi * 6 * (1/36)
dA/dt = 4 * pi inches^2/second
So, the rate at which the surface area is increasing is 4 * pi inches^2/second.
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5x - (x + 2) >-5(1 + x) + 3Name one particular solution to the question
The solution is x > 0
1 is a particular solution
Explanation:Given the inequality:
5x - (x + 2) > -5(1 + x) + 3
This becomes
5x - x - 2 > -5 - 5x + 3
4x - 2 > -5x - 2
4x + 5x > -2 + 2
9x > 0
x > 0
All numbers greater than 0 are solutions
1, for instance, is a solution because it satisfies the inequality
Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges cost $0.75 more than one pound of bananas let b represent the price per pound of bananas. Which equation represents the situation, and what is the price per pound of each fruit?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Let banana = b
Oranges = a
3b + 2a = 4.50 - - - (1)
a = 0.75 + b - - - (2)
Substitute (2) into (1)
3b + 2(0.75 + b) = 4.50
3b + 1.5 + 2b = 4.50
5b = 4.50 - 1.50
5b = 3
b = 3/5
b = $0.6
a = 0.75 + 0.6
a = $1.35
Michael Phelps has been working on improving his time in the 500 yard freestyle competition.His first time was 4 minutes and 25 seconds. He improved his time by 13 seconds. The next timehe swam, he improved his time by 16 seconds. At the competition, he got his best time when heimproved by 8 more seconds. What was Michael's best swimming time?
Initial time = 4 minutes and 25 seconds
first improve = 13 seconds
second improve = 16 seconds
third improve = 8 seconds
First, we have to add all the improvements:
13+16+8 = 37 seconds
Then we have to subtract the result to the initial time:
4m 25 sec -37 sec =
Since 1 minute = 60 seconds
4 minutes x 60 = 240 seconds
240 + 25 sec = 265 seconds
4m 25 sec = 265 seconds
Back with the subtraction:
265 sec-37 sec = 228 seconds
Michaels best swimming time was 228 seconds.
To convert it into minutes:
228 /60 = 3.8 minutes
In an obtuse scalene triangle, one angle is 70 degrees larger than another angle and the third angle is 60 degrees. What is the measure, in degrees, of each of the three angles of the triangle?
Step-by-step explanation:
one angle=70 degress+×
third=60 degrees
70+×+60=130
180_130=50 degrees
The table shows the admission fees to one conservatory at Gardens by the Bay. Mr Tan and his friends planned a group visit for three adults and nine children. Find the amount of money they had to pay for their tickets.
per adult $2.
Per child $8.
Answer:
78$
Step-by-step explanation:
3 adults, 2 dollars per adult. Multiply. 3(2) = 6
9 children, 8 dollars per child. Multiply. 9(8) = 72
Add to get total sum of money they needed to pay. 72+6 = 78
Find the period and the amplitude of the periodic function. I'm awful with graphs :(
A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.
Amplitude:
The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values of a variable. In the previous text, the phase of a periodic function is called the amplitude.
X = A sin (ω[ t - K]) + b
A is the amplitude (or peak amplitude),
x is the oscillating variable,
ω is angular frequency,
t is time,
K and b are arbitrary constants representing time and displacement respectively.
According to the Question:
An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:
X= A/5* sin(1000.t + 120)
These oscillations have a certain amplitude. X values can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.
For theses cases X= A/5 respectively -A/5.
Therefore,
The amplitude is A/5.
For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.
Complete question:
Can I find the amplitude of this equation? A/5 *
If the entries of both A and A^-1 are integers, is it possible that det A=3?
Hint: what is det(A)det(A^-1)?
it is not possible for det A to equal 3 if the entries of both A and A^-1 are integers.
The determinant of a matrix and its inverse are multiplicative inverses of each other, meaning that det(A)det(A^-1) = 1. If det A = 3, then det(A^-1) = 1/3. However, since the entries of both A and A^-1 are integers, this is a contradiction, as the determinant of a matrix with integer entries must also be an integer. Therefore, it is impossible for det A to equal 3 in this scenario.
it explains the reasoning behind the solution and provides a deeper understanding of the concept of determinants.
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Fine the slope of this line
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I don't know what grade u are buddy but the slope actually equals (( ∞ ))
But for u it's undefined.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
PLEASE ANSWER THIS!!
Answer:
161ft^2 is answer
Step-by-step explanation:
area of rectangle = l ×b
=7ft ×23ft
=161ft^2
3.275x20.5
Step bye step
Answer: 67.1375
Step-by-step explanation:
I just used a calculator:)
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with a standard deviation of 0.5.
a. What is the mean (±0.1)(±0.1) of the average number of moths ¯x�¯ in 30 traps?
b. What is the standard deviation? (±0.001)(±0.001)
c. Use the central limit theorem to find the probability (±0.01)(±0.01) that the average number of moths in 30 traps is greater than 0.4.
The following values are as follows: a) Mean = 0.6, b) standard deviation = 0.073 and c) Probability is 0.0855
a) As the number of samples is large enough which is up to 30 then the mean of the average number of moths in 30 traps is given as 0.6, given from the central limit theorem.
b) The population deviation divided by the square root of the sample size gives the standard deviation value.
standard derivation = σ/ \(\sqrt{n}\) = 0.4 / \(\sqrt{30}\) = 0.4/ 5.477 = 0.073
c) The probability that an approximately normally distributed data with the standard deviation, σ, with a sample size of n is greater than a number, x, and a mean, μ, is given by
1 - P (X < x)= P (X > x)
= 1 - P(z< x- µ/ σ/\(\sqrt{n}\))
Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that the average number of moths in 30 traps is greater than 0.7 is given by:
1 -P (X - 0.7) = P (X > 0.7)
= 1 - P(z < \(\frac{0.7-0.6}{0.073}\)) = 1 - P(z < 1.369)
= 1 - 0.91455 = 0.0855
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Need help plsss give you brainliest plssss help me it’s rounding money cents, dime and dollar
Answer:
how do you want me to help you?
;)
how can I help you help tell me
What is muscular endurance
Muscular Endurance - The ability of a skeletal muscle or group of muscles to continue contracting over a long period.
Step-by-step explanation:
I hope it'll help you...
Answer:
Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time.
Step-by-step explanation:
:)
The tax rate is 8.5%. What is the tax on $95 round to the nearest hundredth
Answer:
8.075 original, rounded 8.01
Step-by-step explanation:
8.5%=0.085 x 95 = 8.075 or 8.01 rounded
A man rows downstream for 30 miles then turns around and returns to his original location, the total trip took 8 hours. If the current flows at 2 miles per hour, how fast would the man row in still water?
The man's rowing speed in still water is 8 miles per hour.
Let's assume the speed of the man in still water is represented by "x" miles per hour. Since the man is rowing downstream, his effective speed is increased by the speed of the current (2 miles per hour), resulting in a speed of (x + 2) miles per hour.
The distance traveled downstream is 30 miles, and the time taken to travel this distance can be calculated using the formula:
time = distance / speed
So, the time taken downstream is 30 / (x + 2) hours.
When the man turns around and rows upstream, his effective speed is reduced by the speed of the current (2 miles per hour), resulting in a speed of (x - 2) miles per hour.
The distance traveled upstream is also 30 miles, and the time taken to travel this distance can be calculated in the same way:
time = distance / speed
So, the time taken upstream is 30 / (x - 2) hours.
According to the problem, the total trip took 8 hours, so we can write the equation:
time downstream + time upstream = total time
30 / (x + 2) + 30 / (x - 2) = 8
To solve this equation and find the value of "x," we can multiply both sides of the equation by (x + 2)(x - 2) to eliminate the denominators:
30(x - 2) + 30(x + 2) = 8(x + 2)(x - 2)
Simplifying the equation:
\(30x - 60 + 30x + 60 = 8(x^2 - 4)\)
Combining like terms:
\(60x = 8x^2 - 32\)
Rearranging the equation:
\(8x^2 - 60x - 32 = 0\)
Now, we can solve this quadratic equation. However, since the equation is not easily factorable, we can use the quadratic formula:
x = (-b ± \(\sqrt{(b^2 - 4ac)}\)) / (2a)
For this equation, a = 8, b = -60, and c = -32. Plugging these values into the quadratic formula:
x = (-(-60) ± \(\sqrt{(-60)^2 - 4 * 8 * -32)}\)) / (2 * 8)
x = (60 ± \(\sqrt{(3600 + 1024)}\)) / 16
x = (60 ± \(\sqrt{4624}\)) / 16
x = (60 ± 68) / 16
Simplifying further:
x = (60 + 68) / 16 or x = (60 - 68) / 16
x = 128 / 16 or x = -8 / 16
x = 8 or x = -0.5
The negative value, x = -0.5, doesn't make sense in the context of rowing speed, so the man's rowing speed in still water is 8 miles per hour.
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Someone that knows how to do math correctly please I really need help
Answer:
1208.9
Step-by-step explanation:
To figure out the answer we have to separate it two parts
So the surface area of the piñata is
=The surface area of first cone + the area of the second second cone
=π×r×(r+s)+π×r×(r+s)
=3.14×7×(7+24)+3.14×7×(7+17)
=3.14×7×31+3.14×7×24
=681.38+527.52
=1208.9
Note:I am not sure so if you have any doubts. You can go with others
how many permutations can be formed from n objects of type 1 and n^2 objects of type 2
The number of permutations grows very quickly as n increases as the equation formed is n² (n² - 1) (n² - 2) ... (n² - n + 1).
The number of permutations that can be formed from n objects of type 1 and n² objects of type 2 can be calculated using the concept of permutations with repetition.
First, we can consider the objects of type 1 as identical, so there is only one way to arrange them.
Next, we can consider the objects of type 2 as distinct. We have n² objects of type 2 to choose from and we need to choose n objects from them, with order mattering.
This can be done in n²Pn ways, where P denotes the permutation function.
Therefore, the total number of permutations is:
1 x n²Pn = n²Pn = n²! / (n² - n)!
where the exclamation mark denotes the factorial function.
This can also be written as n² (n² - 1) (n² - 2) ... (n² - n + 1), which shows that the number of permutations grows very quickly as n increases.
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PLEASE HELP!! THIS IS DUE IN 20 MINUTES AND I CANT FIGURE IT OUT!!
Given the following proportion, solve for the length of the triangle "n".
n/4 = 12/(n-2)
Answer:
n = 8, -6
Step-by-step explanation:
If this does not help, let me know and I can edit my answer
Select all of the expressions that are less than 10 2/3.
A.10 2/3 ×9/10
B.1 × 10 2/3
C. 10 2/3 × 2 1/3
D. 1/8 × 10 2/3
E.10 2/3 × 3/5
Answer:
A D E
Step-by-step explanation:
i did the test
If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true
Answer:d
Step-by-step explanation:
The answer is d. None of the above is true.
To calculate velocity, we need to use the equation:
Velocity = M * P / Y
Given:
M = 1,000
P = 2.25
Y = 2,000
Plugging in the values:
Velocity = 1,000 * 2.25 / 2,000
Simplifying:
Velocity = 2.25 / 2
The result is:
Velocity = 1.125
Therefore, the correct answer is: d. None of the above is true.
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Using the method of undetermined coefficients find the general solution of the differential equation
y^iv-2y"'+2y"=3e^-x+3e^-x+e^-xsinx
The general solution is;y = C₁e^(x) cos x + C₂e^(x) sin x + C₃e^(-x) cos x + C₄e^(-x) sin x + (3/2)e^(-x)
Using the method of undetermined coefficients find the general solution of the differential equation yⁱᵛ-2y''+2y''=3e⁻ˣ+3e⁻ˣ+e⁻ˣsinx.Method of undetermined coefficients:Undetermined coefficients method is a technique that is used to find the particular solution of non-homogeneous equations. We assume the solution to be the same as the non-homogeneous terms by multiplying it by an unknown constant or a function, and then differentiate this product until the left-hand side becomes zero.In the given equation yⁱᵛ-2y''+2y''=3e⁻ˣ+3e⁻ˣ+e⁻ˣsinx
Let's solve the differential equation as follows;yⁱᵛ-2y''+2y''=3e⁻ˣ+3e⁻ˣ+e⁻ˣsinxThe characteristic equation is r⁴-2r²+2=0We obtain roots as, r = ± 1 ± iThen, general solution to the homogeneous equation isy_h = C₁e^(x) cos x + C₂e^(x) sin x + C₃e^(-x) cos x + C₄e^(-x) sin xTo find the particular solution; we must consider the different terms separately.3e⁻ˣThe function 3e⁻ˣ is not affected by differentiation. The equation for this term is:y_p = Ae^(-x)We take the derivative of this term, which is; (-Ae^(-x)). Substituting these values in the given equation, we get;-2Ae^(-x) + 2Ae^(-x) = 3e⁻ˣThe terms on the left-hand side cancel out, and we get:A = -3/(-2) = 3/2Therefore, the particular solution is:y_p = (3/2)e^(-x)
Now, the third term in the given equation is:e^-xsinx The function is sin(x) when differentiated twice, yields -sin(x)Therefore, we assume the solution to be;yₚ = A⁻ᵢⁿᵢt cos x + B⁻ᵢⁿᵢt sin x Differentiating the function;y'_p = (-Ae^(-x) + Be^(-x)) sin x + A⁻ᵢⁿᵢt cos x + B⁻ᵢⁿᵢt sin x Differentiating the function again;y''ₚ = (-2Ae^(-x) + 2 Be^(-x) - A⁻ᵢⁿᵢt sin x + B⁻ᵢⁿᵢt cos x)Therefore, substituting the values in the given equation;y''ₚ - 2y''ₚ + 2yₚ = e^(-x)sinx2 (-2Ae^(-x) + 2 Be^(-x) - A⁻ᵢⁿᵢt sin x + B⁻ᵢⁿᵢt cos x) - 2(-Ae^(-x) + Be^(-x)) + 2(A⁻ᵢⁿᵢt cos x + B⁻ᵢⁿᵢt sin x) = e^(-x) sinx The terms in the equation simplify to give;-6Ae^(-x) + 6 Be^(-x) + 2A⁻ᵢⁿᵢt cos x + 2B⁻ᵢⁿᵢt sin x = e^(-x) sinx Comparing the coefficients, we have 2 A⁻ᵢⁿᵢt cos x + 2B⁻ᵢⁿᵢt sin x = 0-6 Ae^(-x) + 6Be^(-x) = 0 Therefore,A = 0, B = 0 General solution to the non-homogeneous differential equation;y = y_h + y_ py = C₁e^(x) cos x + C₂e^(x) sin x + C₃e^(-x) cos x + C₄e^(-x) sin x + (3/2)e^(-x)
Therefore, the general solution is;y = C₁e^(x) cos x + C₂e^(x) sin x + C₃e^(-x) cos x + C₄e^(-x) sin x + (3/2)e^(-x).
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Please help me I need to finish this :)
Detirme the value of x
The total value of a triangle's angles is 180*
so x=180-y-z
x=180-76-41
x=63*
hope it helps
Solve for x
2x^2=5x+3
Answer:
Step-by-step explanation:
ur mom
Which number line represents the inequality? 34>x
Answer:
op 2
Step-by-step explanation:
the Answer is b
hope this helps
In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph miles per hour. Kirk was fined for traveling at what speed, in miles per hour?
Answer:13 miles over the speed limit
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
The fine for speeding is $17 mile per hour. Thus, for speeding for a total of x miles per hour above the posted speed limit of 30 mile per hour, there will be a fine of: 17(x - 30)
X in the equation is the speed of the driver and the negative sign in the equation shows that the driver was traveling at a total speed greater than the posted speed limit (thus, x - 30 is the speed above the posted speed limit in which the driver will be fined for).
Since the driver was fined $221, the equation becomes:
17(x - 30) = 221
divide both sides by 17
x - 30 = 221/17
x - 30 = 13
x = 13 + 30
x = 43
The driver was fined for travelling at a speed of 43 miles per hour which is 13 greater than the posted speed limit.
What is the value of x in the equation -6 + x = -1?
-5
-7
7
5
Answer:
x = 5
Step-by-step explanation:
... -6+5 = 1
..... you can draw a number line and move ( -6) 5 units to the right and you'll get (-1).