Answers
Let it be x
[tex]\\ \sf\longmapsto \dfrac{3}{5}=\dfrac{x}{x+4}[/tex]
[tex]\\ \sf\longmapsto 3(x+4)=5x[/tex]
[tex]\\ \sf\longmapsto 3x+12=5x[/tex]
[tex]\\ \sf\longmapsto 5x-3x=12[/tex]
[tex]\\ \sf\longmapsto 2x=12[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{12}{2}[/tex]
[tex]\\ \sf\longmapsto x=6[/tex]
Related Questions
Cars arrive at an automatic car wash system every 10 minutes on average. The cars inter-arrival times are exponentially distributed. Washing time for each is 6 minutes per car and is purely deterministic (i.e., the waiting line system is M/D/c). Assuming that the car wash has a single bay to serve the cars, what is the average number of cars waiting in line (L.)?
Answers
Answer:
the average number of cars waiting in line L[tex]q[/tex] is 0.45
Step-by-step explanation:
Given the data in the question;
Cars arrive at an automatic car wash system every 10 minutes on average.
Car arrival rate λ = 1 per 10 min = [ 1/10 × 60 ]per hrs = 6 cars per hour
Washing time for each is 6 minutes per car
Car service rate μ = 6min per car = [ 1/6 × 60 ] per hrs = 10 cars per hour
so
P = λ/μ = 6 / 10 = 0.6
Using the length of queue in M/D/1 system since there is only one service bay;
L[tex]q[/tex] = [tex]\frac{1}{2}[/tex][ P² / ( 1 - P ) ]
so we substitute
L[tex]q[/tex] = [tex]\frac{1}{2}[/tex][ (0.6)² / ( 1 - 0.6 ) ]
L[tex]q[/tex] = [tex]\frac{1}{2}[/tex][ 0.36 / 0.4 ]
L[tex]q[/tex] = [tex]\frac{1}{2}[/tex][ 0.9 ]
L[tex]q[/tex] = 0.45
Therefore, the average number of cars waiting in line L[tex]q[/tex] is 0.45
Diego Company manufactures one product that is sold for $75 per unit in two geographic regions—the East and West regions. The following information pertains to the company’s first year of operations in which it produced 57,000 units and sold 52,000 units. Variable costs per unit: Manufacturing: Direct materials $25 Direct labor $18 Variable manufacturing overhead $3 Variable selling and administrative $5 Fixed costs per year: Fixed manufacturing overhead $627,000 Fixed selling and administrative expenses $645,000 The company sold 36,000 units in the East region and 16,000 units in the West region. It determined that $310,000 of its fixed selling and administrative expense is traceable to the West region, $260,000 is traceable to the East region, and the remaining $75,000 is a common fixed expense. The company will continue to incur the total amount of its fixed manufacturing overhead costs as long as it continues to produce any amount of its only product. Required: What is the company’s net operating income (loss) under absorption costing?
Answers
Answer:
626949
Step-by-step explanation:
it would take 15 men 8 days to dig a trench 240 m long find how many days less it would take 18 men to dig a trench 360m long working at the same rate
Answers
Answer:
24 men will take 3 days to dig a 72 meter trench.
Step-by-step explanation:
If 16 workers dig an 80-meter long trench in five days, how long will it take 24 workers to dig a 72-meter long trench?
If 16 workers take 5 days to dig an 80 meter long trench,
24 workers will definitely take lesser time to dig a 72 meter long trench as both the length of the trench and the number of workers is more
Lets write these values down in order: Number of Workers, Length of Trench, Number of Days:
16 80 5
24 72 ?
Lets represent the ? as x:
We know that Ratio of Trench length to men = 80/16 : 72/24 or 5 : 3
Which means that the first set (16 men) will take 5 days to dig a trench of 80 meters.
And therefore from the above ratio (5: 3), 24 men will take 3 days to dig a 72 meter trench.
HOPE IT WILL DEFINITELY HELP YOU
build and sketch 2x2+7x+6)
Answers
Answer:
Step-by-step explanation:
WILL GIVE BRAINIEST PLEASE WRITE IN ''f(x) = a(b)^x'' ORDERAn industrial copy machine has the ability to reduce image dimensions by a certain percentage each time it copies. A design began with a length of 16 inches, represented by the point (0,16). After going through the copy machine once, the length is 12, represented by the point (1,12).
Answers
Answer:
f(x) = 16*0.75^x
Step-by-step explanation:
first off let's use this coordinate (the one given) :
(0,16)
let's substitute this into the equation with x being 0 and f(x) being 16
16 = a*b^0
*anything to the power of 0 is 1*
so:
a = 16
now use the second coordinate :
(1,12)
and do the same by substituting 1 for x and 12 for f(x), we also know what 'a' is:
12 = 16*b^1
12 = 16 * b
b = 3/4
so :
f(x) = 16*0.75^x
Answer:
f(x) = 16(.75)^x
Step-by-step explanation:
PLEASE HELP ME
An expression is shown below:
6x^2y − 3xy − 24xy^2 + 12y^2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
9514 1404 393
Answer:
(3y)(2x^2 -1x -8xy +4y)(3y)(x -4y)(2x -1)Step-by-step explanation:
Part A: All of the coefficients have a common factor of 3. All of the variable products have a common factor of y, so the greatest common factor of all terms is 3y. The expression can be written as ...
(3y)(2x^2 -1x -8xy +4y)
__
Part B: The remaining factor can be factored pairwise:
3y(x(2x -1) -4y(2x -1)) = 3y(x -4y)(2x -1)
Which of the following behaviors would best describe someone who is listening and paying attention? a) Leaning toward the speaker O b) Interrupting the speaker to share their opinion c) Avoiding eye contact d) Asking questions to make sure they understand what's being said
Answers
The answer is A and D
good luck
in order for the parallelogram to be a rhombus, x=?
Answers
[tex]\\ \large\sf\longmapsto x + 15 = 2x - 40 \\ \\ \large\sf\longmapsto x - 2x = - 40 - 15 \\ \\ \large\sf\longmapsto - x = - 55\\ \large\sf\longmapsto x = 55[/tex]
The value of x is 55 degrees.
What is rhombus?A rhombus is a diamond-shaped quadrilateral that has all four sides equal
What are the properties of a rhombus?The properties of a rhombus are:
Opposite angles are equal.All sides are equal and, opposite sides are parallel to each other.Diagonals bisect each other perpendicularly.Sum of any two adjacent angles is 180°According to the given question.
We have a rhombus.
Since, we know that the diagonals of the rhombus bisect the angles.
Therefore,
[tex](x+15)^{o} = (2x-40)^{o}[/tex]
Solve, the above expression for x.
[tex]\implies x +15 = 2x -40\\\implies 15+40 = 2x -x \\\implies 55 = x \\0r\ x = 55^{o}[/tex]
Hence, the value of x is 55 degrees.
Find out more information about rhombus here:
https://brainly.com/question/12189679
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Homework:Assignment 3 Question 20 Score: 0 of 1 point A vending machine dispenses coffee into -ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of ounce. You can allow the cup to overfill % of the time. What amount should you set as the mean amount of coffee to be dispensed?
Answers
Answer:
19.92
Step-by-step explanation:
To overfill 5% of the time ;
The Zscore (value) to the left of (1 - 0.05) = 0.95 is 1.645
Using this Zscore value with the Zscore formula :
Zscore = (x - μ) / σ
σ = 0.05 ; x = 20 ounce
Substituting into the Zscore formula :
1.645 = (20 - μ) / 0.05
1.645*0.05 = 20 - μ
0.08225 = 20 - μ
μ = 20 - 0.08225
μ = 19.91775
μ = 19.92
Given the mean for six numbers is 24. If three numbers which are x, (x + 2) and (x - 2) are added into the data set, the value of mean changed to 30. Calculate the value of x.
Answers
Answer:
42
Step-by-step explanation:
We know that the mean of 6 numbers is 24. This means that
[tex] \frac{x}{6} = 24[/tex]
Solve for x.
[tex]x = 144[/tex]
If we add, x, (x+2), and (x-2). We will have 9 terms. The value of mean will change to 30. This also means that
[tex] \frac{270}{9} = 30[/tex]
[tex]144 + x + (x + 2) + (x - 2) = 270[/tex]
[tex]3x + 144 = 270[/tex]
[tex]3x = 126[/tex]
[tex]x = 42[/tex]
Can you please help me with this question
Answers
Answer:
Where is the question?
Step-by-step explanation:
Python is an interpreted high-level general-purpose programming language. Python's design philosophy emphasizes code readability with its notable use of significant indentation.
HELP PLEASE!!!!
The median age for a first marriage in the United States for women was 25.9 in 2009 and 26.1 in 2010. Use an exponential model to predict the median age for women in 2019, where x is the number of years since 2009.
A) 23.9
B) 28.3
C) 28.0
D) 24.0
Answers
Answer:
29.1 Is the answer for 2009
Step-by-step explanation:
Days before a presidential election, a nationwide random sample of registered voters was taken. Based on this random sample, it was reported that "52% of registered voters plan on voting for Robert Smith with a margin of error of ±3%." The margin of error was based on a 95% confidence level. Fill in the blanks to obtain a correct interpretation of this confidence interval. We are ___________ confident that the ___________ of registered voters ___________ planning on voting for Robert Smith is between ___________ and ___________.
Answers
Answer:
We are 95% confident that the percentage of registered voters in the nation planning on voting for Robert Smith is between 49% and 55%.
Step-by-step explanation:
Given that :
Margin of Error = ±3%
Sample Proportion = 52%
Confidence level = 95%
The 95% confidence interval is :
Sample proportion ± margin of error
52% ± 3%
Lower boundary = 52% - 3% = 49%
Upper boundary = 52% + 3% = 55%
The interpretation is that at a given confidence level ; the popukation proportion based on the sample proportion and margin of error is in the confidence interval.
Cho hình thang ABCD vuông tại A và D biết AB=AD=3cm, BC=6cm. Tính góc C và D
Answers
Answer:
C=6cm
D=3cm
Step-by-step explanation:
C=6×6cm
36cm
D=3×3cm
=9cm
What are four ways an inequality can be written?
Answers
Answer:
There are four ways to represent an inequality: Equation notation, set notation, interval notation, and solution graph.
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
Answers
Answer:
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Let Clarissa has left $x amount spend for month. Hence,$272 left from her budget spend for month.
HELP !
Find the measure it the given angle.
Answers
Answer:
it's 90
Step-by-step explanation:
inscribed angle intercepts a semicircle is always 90
Because you have to find the radius and x by pi
What is the volume of the cone below? radius is 10 and height is 81
Answers
Answer:
0.0000033cm^3
Step-by-step explanation:
V=1/3hπr²
r=10
h=81
V=1/3×81×(22÷7)×20^2
V=1/305,208
V=0.0000033cm^3
proving lines parallel!!! please help
Answers
Answer:
B.
Step-by-step explanation:
Since C and A are parallel
and B is perpendicular to C
then B is also perpendicular to A
meaning they have the same angle so 90 Degrees.
6. Circle all the expressions that are equivalent to this expression: 6p+ 7.
You will lose a point for every wrong expression that you circle.
1.p+2+52 +5
2. 42p
3. 7p +6
4. 3p + 2p + P +7
5. 13P
6. p+p+p+p+p+p+5+1+1
Answers
Answer:
6
Step-by-step explanation:
because the equation above says p+p+p+p+p+p+5+1+1
so if we add up the p's it will give us 6p and if we add up the nos it will give us 6p+7
I NEED HELP PLEASE!!!!
Answers
9514 1404 393
Answer:
A. 1/2
Step-by-step explanation:
The points on a unit circle are (cos(θ), sin(θ)), where θ is the angle from the +x axis to to the ray from the origin through that point.
If the point is (√3/2, 1/2), then sin(θ) = 1/2.
Find the area AND perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answers
Answer:
a=40+8pi, p=4pi+4(sqrt of 29)
Step-by-step explanation:
rsm geometry class 122?
PLEASE HELP ASAP!!!!!
Answers
Step-by-step explanation:
Area ABC=1/2ab×sin C
=1/2 ×20×10 ×Sin C
Sin C =100
1. MATHEMATICS The sum of ages of Bola, Dada and Ayo is 32 years. After sharing a sum of money in ratio of their ages, if Bola gets N400, Dada get-A400 and Ayo get N800. How old is Bola?
Answers
Bola will be 8 years old.
Let Bola's age be x
Dada's age be y
Ayo's age be z
If the sum of ages of Bola, Dada, and Ayo is 32 years, then;
x + y + z = 32
If they share a sum of money in the ratio of their ages, then the ratio of their ages will be x: y: z
Also if Bola gets N400, Dada get-N400 and Ayo get N800, then the total amount of money shared will be expressed as:
T = 400 + 400 + 800
T = N1600
Next is to get the age of Bola
[tex]\frac{age \ of \ bola}{32}* Total \ amount \ shared = Bola's \ Share[/tex]
Substitute the required variables and values into the formula;
[tex]\frac{x}{32}*1600= 400\\50x=400\\x=\frac{400}{50}\\x=8[/tex]
This shows that Bola is 8 years old
Learn more on ratio here: https://brainly.com/question/19473677
Find the area of Parallelogram ABCD given M< A=30° AB=10in AD=6in A=
Answers
Answer:
30 in²
Step-by-step explanation:
Parallelogram height is,
6/2 (since it's a 30°-60°-90° triangle)
= 3
Area = base × height
= 10×3 in²
= 30 in²
Answered by GAUTHMATH
a-bcosc/c-bcosa=sinc/sina
Answers
=ac-b(cosc-ccosa)
=sinc/sina
(-5/2) divide 13/7 x 9/7
Help :(
Answers
Answer:
-45/26
Step-by-step explanation:
(-5/2)÷(13/7)×(9/7)
(-5/2)×(7/13)×(9/7)
-45/26
Answered by Gauthmath must click thanks and mark brainliest
What is the x-coordinate of the point of intersection for the two lines below?
-6 + 8y = -6
7x -10y = 9
Answer choices
1.) -6
2.) -3
3.) 3
4.) 7
Answers
Answer:
c.
Step-by-step explanation:
Michelle ate a watermelon with 81 seeds. She picked out 1/9 of all the seeds to plant in her backyard. But her mother said there is no room for that many watermelon plants, so her mom only let her plant 1/3 of the seeds she had chosen. How many watermelon seeds was she allowed to plant in her backyard?
Answers
9514 1404 393
Answer:
3
Step-by-step explanation:
1/3 of 1/9 of 81 is ...
81×1/9×1/3 = 9×1/3 = 3
Michelle was allowed to plant 3 seeds.
Find the degree of each polynomial and indicate whether the
polynomial is a monomial, binomial, trinomial, or none of these.
Answers
Answer:
1. Degree = 1, monomial
2. Degree = 2, monomial
3. degree = 2, trinomial
4. Degree = 2, binomial
5. Degree = 2, binomial
Step-by-step explanation:
