The number, x, is equal to (2a) × (100/k).
Let's denote the number as "x." We are given that k% of x is equal to 2a.
To find the number, we need to translate the given information into an equation. The phrase "k% of x" can be expressed as (k/100) × x.
According to the given information, (k/100) × x is equal to 2a:
(k/100) × x = 2a.
To solve for x, we can isolate it on one side of the equation by dividing both sides by (k/100):
x = (2a) / (k/100).
To simplify further, we can multiply by the reciprocal of (k/100), which is (100/k):
x = (2a) × (100/k).
Therefore, the number, x, is equal to (2a) × (100/k).
In summary, if k% of a number is equal to 2a, the number itself can be calculated as (2a) × (100/k).
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A company's income statement showed the following: net income, $127,000; depreciation expense, $36,500; and gain on sale of plant assets, $10,500. The company's current assets and current liabilities showed the following changes: accounts receivable decreased $10,700; merchandise inventory increased $24,500; prepaid expenses increased $7,500; accounts payable increased $4,700. Calculate the net cash provided or used by operating activities.
Therefore, the net cash provided or used by operating activities is $115,000.
Starting with the net income of $127,000, we add back the depreciation expense of $36,500 since it is a non-cash expense. We also subtract the gain on sale of plant assets of $10,500 since it is a non-operating gain. These adjustments result in an adjusted net income of $153,000 ($127,000 + $36,500 - $10,500).
Next, we consider the changes in current assets and liabilities. Since accounts receivable decreased by $10,700, we add this amount to the adjusted net income. Merchandise inventory increased by $24,500, so we subtract this amount. Prepaid expenses increased by $7,500, so we subtract this amount as well. Lastly, accounts payable increased by $4,700, so we add this amount.
Calculating the net cash provided or used by operating activities:
Adjusted net income + Changes in current assets and liabilities
$153,000 + (-$10,700) + (-$24,500) + (-$7,500) + $4,700 = $115,000
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please help me thanks
Answer:
hg
Step-by-step explanation:
ggh
HELP! MARKING BRAINLIEST
Answer:
12
Step-by-step explanation:
With PEMDAS you could know to do parentheses FIRST
6 x (10 - 2^3)
6 x (2)
12
Answer:
your answer would be 12
Step-by-step explanation:
Incordding to math this dot is mutpcation
but next to it is is a bracket in math a bracket me you need to add or subtrack evrything in it then multpliy the answer with the the number in it
so we just need simplfy what in the bracket
so the equation is actaliy 6x2.Hence the answer is 12
Mason is multiplying 3 x 5 x 0.1 x 0.1 what demical multiplication problem is he solving
Answer:
The answer is 0.15
Step-by-step explanation:
3 × 5 × (0.1) × (0.1)
15 × (0.01) = 0.15
Thus, The answer is 0.15
-TheUnknownScientist 72
Answer: 0.15
Step-by-step explanation:
(3 x 5) x (0.1 x 0.1)
=(15) x (0.01)
Thus, =0.15
In the summer time fruit flies are the worst. One morning I woke up to 5 fruit flies in my kitchen. Three hours later there were 13 fruit flies. If the growth rate is continuous, at what rate are the flies increasing
The fruit flies are increasing at an average rate of approximately 2.67 flies per hour.
To calculate the rate at which the fruit flies are increasing, we can use the concept of average rate of change.
Given:
Initial number of fruit flies: 5
Number of fruit flies after 3 hours: 13
We can calculate the average rate of change by dividing the change in the number of fruit flies by the change in time:
Average rate of change = (Change in number of fruit flies) / (Change in time)
Change in number of fruit flies = 13 - 5 = 8
Change in time = 3 hours
Average rate of change = 8 / 3
Therefore, the fruit flies are increasing at an average rate of approximately 2.67 flies per hour.
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the scores on a standardized test are normally distributed with a mean of 90 and standard deviation of 15. what test score is 0.1 standard deviations above the mean?
The test score is 91.5.
z-score:
A z-score is the number of standard deviations from the mean value of the reference population.
Here we have to find the test score.
Mean(μ) = 90
Standard deviation(б) = 15
z-score = 0.1
Formula for z-score:
z = X - μ / б
Now putting the values in the equation:
0.1 = X - 90 / 15
1.5 = X - 90
X = 91.5
Therefore the test score is 91.5.
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Q.2) A jar contains three balls numbered 1,2, and 3. If two balls are drawn: a) Write the probability space? b) what is the probability that the sum of the numbers is 4 ? c) what is the probability that the sum of the numbers is at least 4 ?
a) The probability space is (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3).
b) The probability that the sum of the numbers drawn is 4 is 2/9.
c) The probability that the sum of the numbers is at least 4 is 2/3.
a) The probability of an event is measured between 0 and 1, and the probability space is a collection of all probable results, hence the probability space is:
P= (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)
Hence, the probability space can be written as a set, S = {1,2,3}.
b) If 2 balls are drawn and sum of the numbers is 4, then there could be only one probable way of drawing the balls, which is ball 1 and 3, so probability that the sum of the numbers is 4 is:
P = 2/9
c) If 2 balls are drawn and sum of the numbers is at least 4, then probable ways of drawing the balls are:
(1,3), (2,2), (2,3), (3, 1), (3, 2), and (3, 3)
Hence, the probability that the sum of the numbers is at least 4 = 6/9 = 2/3
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What is the value of z in the equation 3z + 5 = 4z - 8?
0 1
o-1
13
0-13
Answer: 13
Step-by-step explanation:
2x + y = 2
x – 2y = -4
what is x and y?
Answer:
x = 0
y = 2
Step-by-step explanation:
2x + y = 2 (Multiply by 2)
x – 2y = -4
4x + 2y = 4
x – 2y = -4
5x = 0
x = 0
2x + y = 2
2(0) + y = 2
0 + y = 2
y = 2
Help I need help with this question
Answer:
X = 208
Step-by-step explanation:
What is 429 + (576+ 24) =? Also how do I award brainliest. I will give Brainliest to first who gets the correct answer and tells me how. l m a o
Answer:
1029
Step-by-step explanation:
you can find the constant of proportionality by finding the ratio of
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Step-by-step explanation:
The proportionality constant is the ratio of two directly proportional quantities.
What is a constant of proportionality?The proportionality constant is the ratio of two directly proportional quantities. When two quantities increase and decrease at the same rate, they are directly proportional. The proportionality constant k is given by k=y/x, where y and x are two directly proportional quantities.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Two numerical sequences, often experimental data, are said to be proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.
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A construction site needs to pour concrete for a foundation, requiring a total of 75 tonnes of cement. If each cement bag weighs 0.5 tonnes, how many bags of cement are needed?
To pour 75 tonnes of cement for the foundation, a total of 150 bags of cement, weighing 0.5 tonnes each, are needed.
1. Determine the weight of cement required for the foundation, which is 75 tonnes.
2. Calculate the weight of each cement bag, which is 0.5 tonnes.
3. Divide the total weight of cement required (75 tonnes) by the weight of each bag (0.5 tonnes) to find the number of bags needed.
75 tonnes ÷ 0.5 tonnes = 150 bags
4. Therefore, to pour 75 tonnes of cement for the foundation, a total of 150 bags of cement, weighing 0.5 tonnes each, are needed.
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PLEASE HELP PLEASEEE!!!
Answer:
C to A, C to D, C to B, 3cm and 4 cm
Answer:
C to A, C to D, C to B, 3cm and 4 cm
Step-by-step explanation:
Find the exact surface area of a sphere with a diameter of 17 cm.answer in cm2
Diameter = 17 cm
Radius = r = Diameter /2 = 17/2 =8.5 cm
Surface area of a sphere: 4 π r^2
Replacing with the values given:
SA = 4 π (8.5) ^2 = 907.92 cm^2
What would F^-1(-2) equal
Answer:
I hope this helps:)
Step-by-step explanation:
which of the following statements is true? group of answer choices in general, it is no more difficult to solve an integer programming model than a linear programming one. all of these answers. an integer programming solution is better than the linear programming solution to the same problem rounding does not necessarily provide feasible solutions and feasible solutions from rounding are not necessarily optimal.
The true statement is that An integer programming solution can be better than the linear programming solution to the same problem. So, option(b) is right one.
In integer linear programming is harder than linear programming, because the branch-and–bound method requires many iterations of the simplex method, integer programming problems, So, option(a) is false one.
It usually takes longer than linear programming problems of the same size.Integer programming is a mathematical method that produces numerical solutions to linear programming problems.In integer programming, obtained integer solutions that should be neither feasible nor optimal. So, option(c) is also false.Hence, required answer is option(b).
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Complete question :
which of the following statements is true? group of answer choices
a) in general, it is no more difficult to solve an integer programming model than a linear programming one.
b) an integer programming solution is better than the linear programming solution to the same problem rounding does not necessarily.
c) provide feasible solutions and feasible solutions from rounding are not necessarily optimal.
d) all of these answers
alpha centauri appears as a bright object visible in the milky way galaxy. alpha centauri is actually a system of three objects. each object produces light and rotates on its own axis. the system is an average of 4 light-years from earth. based on this information, the three objects that make up the alpha centauri system are all —A asteroids
B comets
C planets
D stars
The three objects that make up the Alpha centauri system, given their description, are all D. stars.
What is the Alpha Centauri system ?Alpha Centauri is a star system that consists of three stars, not planets, asteroids, or comets. The three stars are named Alpha Centauri A, Alpha Centauri B, and Proxima Centauri.
Alpha Centauri A and B are similar to the Sun, while Proxima Centauri is a smaller and cooler red dwarf star. The three stars in the Alpha Centauri system produce light and rotate on their own axis, and the system is located an average of 4 light-years from Earth.
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What are the solutions of the equation 3x² – 5x + 2 = 0? U C D 1 and 2 1 and Homb -1 and -2 -1 and -2
Answer:
1and 2/3
Step-by-step explanation:
using the factorization method
the product of the equation is positive 6(3×2)
then we find the factors of 6 which give us the product 6 and the sum of-5
the factors are-3 and -2
we then substitute negative 5 with these factors
it then be 3x^2-3x-2x+2=0
then we group factorise
we will have 3x(x-1)-2(x-1)=0
we find the common factors of the 2 groups
we will then have (x-1)(3x-2)=0
then we equate the both brackets to 0
(x-1)=0 and(3x-2)=0
for the first bracket add 1 both sidesand the second add 2 both sides and divide by 3
Write an equation that shows the relationship 64% of y is 40.
PLEASE HELP
Answer:
\(0.64*y = 40\)
Step-by-step explanation:
Answer:
64/100=40/y
Step-by-step explanation:
We use the simple equation of finding percentages, which would be the percentage (64) over 100 percent, as this is our total. If 64 percent of y equals 40, then the equation is 64/100=40/y. To solve for y, multiply 100 x 40= 4000, then divide by 64 to get the answer. Y=62.5
numbers 12321, 50005, and 61016 are called palindromes (a palindrome number is a number that is the same when written forwards or backwards). how many 5- digit even palindromes are there?
The total number of 5- digit even palindromes present is 400 numbers.
Define the term palindrome number?The same number can be read both forward and backward and be considered palindromic.Saippuakivikauppias (19 letters), that is Finnish for a lye trader, is the longest reported palindromic word (caustic soda).For the stated question-
The plindrome must start and end in 2, 4, 6, and 8 different ways (e.g., 22122, 44144) if it is to be even.The five-digit middle number could be 0 to 9 (10 ways), for example, 22522 or 22822The second and fourth numbers must also be the same, i.e., 0-9(10 ways).For example, 23432, 85658,
The number of 5- digit even palindromes are formed as;
4 * 10 * 10 = 400.
Thus, the total number of 5- digit even palindromes present is 400 numbers.
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40 is what % of a
Plz help
Answer:
Step-by-step explanation: To calculate the percentage, multiply this fraction by 100 and add a percent sign. 100 * numerator / denominator = percentage . In our example it's 100 * 2/5 = 100 * 0.4 = 40 .
If sin0= 2/5, find csc0.
Answer: D I think
Step-by-step explanation:
True or False: The domin of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of fand the domain of g. Justify your answer.
The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.
What is a function?A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.
What is a domain?The range refers to all potential values of y, and the domain refers to all conceivable values of x.
The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.
Thus, the given statement is false.
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Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum?.
The given series diverges for all values of the variable since the absolute value of the common ratio (3/2) is greater than 1.
The sum of a finite geometric series is given by the formula:S=ar(r^n -1)/(r -1)where S is the sum, a is the first term, r is the common ratio and n is the number of terms. If we take the limit of this formula as n approaches infinity and as r is between -1 and 1 (inclusive), then we have the sum of an infinite geometric series:S=a/(1-r)The sum of the given infinite series will converge if and only if the absolute value of the common ratio is less than 1. Therefore, to find the values of the variable for which the series converges, we must find the absolute value of the common ratio and ensure that it is less than 1.Sum of series:S = 1 + 3/2 + 9/4 + ...+ [3^(n-1)]/[2^(n-2)] + ...The first term is a = 1.The common ratio is r = 3/2.Therefore, we can write:S = 1 + 3/2 + 9/4 + ...+ [3^(n-1)]/[2^(n-2)] + ...= a/(1-r) = 1/[1 - (3/2)] = 1/(1/2) = 2.For what values of the variable does the series converge to this sum?As the common ratio is 3/2 and the absolute value of this ratio is greater than 1, the given series diverges for all values of the variable.
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A survey of 49 randomly selected iPhone owners showed that the purchase price has a mean of $680 with a sample standard deviation of $21. (Use z Distribution Table.) A) Compute the standard error of the sample mean. (Round your answer to the nearest whole number.) B) Compute the 99% confidence interval for the mean. (Use t Distribution Table.) (Round your answers to 3 decimal places.) C) To be 99% confident, how large a sample is needed to estimate the population mean within $7? (Round up your answer to the next whole number.)
Standard error of the sample mean ≈ $3. The 99% confidence interval for the mean is approximately $671.966 to $688.034. A sample size of 59.669 is needed to estimate the population mean within $7 with 99% confidence.
A) To compute the standard error of the sample mean, we use the formula: standard error = sample standard deviation / √(sample size).
Standard error = $21 / √49 ≈ $3
B) To compute the 99% confidence interval for the mean, we use the t-distribution. The formula for the confidence interval is:
Confidence interval = sample mean ± (t-value * standard error)
First, we need to find the t-value for a 99% confidence level with (n-1) degrees of freedom. Since the sample size is 49, the degrees of freedom is 49-1=48. Using the t Distribution Table, the t-value for a 99% confidence level and 48 degrees of freedom is approximately 2.678.
Confidence interval = $680 ± (2.678 * $3)
Lower limit = $680 - (2.678 * $3)
≈ $680 - $8.034
≈ $671.966
Upper limit = $680 + (2.678 * $3)
≈ $680 + $8.034
≈ $688.034
Therefore, the 99% confidence interval for the mean is approximately $671.966 to $688.034.
C) To determine the sample size needed to estimate the population mean within $7 and be 99% confident, we use the formula: sample size = (z-value * sample standard deviation / margin of error)².
The z-value for a 99% confidence level is approximately 2.576 (obtained from the z Distribution Table).
Margin of error = $7.
Sample size = (2.576 * $21 / $7)²
= (2.576 * 3)²
= 7.728²
≈ 59.669
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What is the value of x when Rq=3x+2 ,QN =2x and SM=3x?
The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
RQ = 3x+2 ,QN = 2x and SM=3x
In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.
The centroid of the triangle divides each median in the ratio 2:1
RQ/QN = 2/1
(3x+2)/2x = 2/1
After solving:
3x + 2 = 4x
x = 2
Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
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which expression is equivalent to 24 - (-6)
A. 24 + (-6)
B. -6 -24
C. 24 + 6
D. 6 - 24
Step-by-step explanation:
add or subtract the groups in order to answer them... or use a calculator for the job
Luke invested a principal amount of $592.00, with 3% that compounds continuously.
It has been accruing interest for 5 years.
What total value does Luke now have?
The total value Luke now have is $686.29
Finding the total value Luke now have?From the question, we have the following parameters that can be used in our computation:
Inital deposit, P = 592
Rate r = 3% annual interest compounded continuously.
Using the above as a guide, we have the following:
The amount after x years is
Amount = P * (1 + r)ˣ
Substitute the known values in the above equation, so, we have the following representation
Amount = 592 * (1 + 3%)⁵
Evaluate
Amount = 686.29
Hence, the amount is $686.29
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The ratio of male to female bats under the Congress Avenue Bridge in Austin, Texas is 5/4. If you were to see 486 bats fly out from under the bridge, how many would you expect to be female?
Answer:
216 bats will be female
Step-by-step explanation:
First, you set it up for a cross multiply
9 = 486
4 x
We use nine because the ratio of male to female is 5/4 so the ratio of total to female is 9/4. Cross multiply.
9x = 1944
x= 216
So 216 bats will be female
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