Answer:
x=2yW+y-1
Step-by-step explanation:
2x+2/y=4w+2
2x+2=4yw+2y
2x=4yw+2y-2
x=2yw+y-1
Option B is correct, if the equation is (2x+2)/y = 4w+2 then the value of x is 2wy+y-1
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is (2x+2)/y = 4w+2
We have to find the value of x
Which means we have to isolate the x term
2x+2=4wy+2y
Subtract 2 from both sides
2x=4wy+2y-2
Divide both sides by 2
x=2wy+y-1
Hence, option B is correct, if the equation is (2x+2)/y = 4w+2 then the value of x is 2wy+y-1
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Four friends are going to the movies. The cost of one ticket is $9.50, and the cost of one large popcorn is $4.50. The expression 4(9.5)+4(4.5) shows the total cost for the four friends. Which of these is equivalent to the given expression? 4[4.5+9.5) 4.5(4+9.5) (4+4)(9.5+4.5) (4x4) (9.5+4.5)
Answer:
im doing the same test
Step-by-step explanation:
The questions are in the picture. please answer showing work
Answer:
what class is this?
Step-by-step explanation:
1. Reasoning The dimensions of the
nation's smallest post office are 8 feet
4 inches by 7 feet 3 inches. Why would
you use the measurement 8 feet 4 inches
instead of 7 feet 16 inches?
Answer:
The measurement 8 feet 4 inches is used because it is the most accurate way to represent the dimensions of the post office. 7 feet 16 inches would round the measurements to the nearest foot, which is not a precise way to measure the dimensions.
EXAMPLE: Empirical Rule
Suppose that 280 sociology students take an exam and that the distribution of their scores can be treated as normal. Find the number of scores falling within 2 standard deviations of the mean.
Approximately 188 values fall within 2 standard deviations of the mean when 280 sociology students take an exam and the distribution of their scores can be treated as normal.
It states that the grade distribution of 280 sociology students can be considered normal. Let μ be the average score of the students and σ be the standard deviation.
A run appear of thumb is that nearly 68% of the comes almost are interior 1 standard deviation of the pitiless, nearly 95% of the comes around are interior 2 standard deviations of the brutal, and nearly 99.7% of the comes approximately are interior 3 standard deviations of the cruel.
Since we are interested in finding the number of values within 2 standard deviations of the mean, we can estimate this using a rule of thumb.
We know that about 95% of the results are within 2 standard deviations of the mean. So you can write:
P(μ - 2σ < X < μ + 2σ) = 0.95
where X is the student's score.
We can simplify this expression by subtracting μ from both sides.
P(-2σ < X - μ < 2σ) = 0.95
Now we can find the probability that the standard normal variable Z falls between -2 and 2 using the standard normal distribution. we have:
P(-2 < Z < 2) = 0.95
Using a standard normal distribution table or a calculator capable of calculating the normal probability, we can find that the probability that Z is between -2 and 2 is approximately 0.9545.
So it looks like this:
P(-2 < Z < 2) = P((X - μ)/σ < 2) - P((X - μ)/σ < -2) = 0.9545
Using a standard normal distribution table or a calculator capable of calculating the inverse normal probability, we find that a value of 2 in the standard normal distribution corresponds to a z-score of approximately 1.96.
So it looks like this:
P((X - μ)/σ < 1.96) - P((X - μ)/σ < -1.96) = 0.9545
Since the distribution of values is normal, we know that the standard normal variable (X - μ)/σ follows the standard normal distribution. Therefore, you can find the z-score corresponding to 1.96 using a standard normal distribution table or a calculator capable of calculating the inverse normal probability.
A z-score equal to 1.96 is found to be approximately 0.975.
So it looks like this:
P(Z < 0.975) - P(Z < -0.975) = 0.9545
Using a standard normal distribution table or a calculator capable of calculating normal probabilities, we find:
P(Z < 0.975) = 0.8365 and P(Z < -0.975) = 0.1635
So it looks like this:
0.8365 - 0.1635 = 0.673
Subsequently, roughly 67.3% of the comes about are inside 2 standard deviations of the mean.
To discover the number of comes about that are inside two standard deviations of the cruel, we have to increase that rate by the entire number of understudies.
Number of outcomes within 2 standard deviations of the mean = 0.673 × 280 ≈ 188
Therefore, approximately 188 values fall within 2 standard deviations of the mean.
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What is the final amount if 672 is decreased by 12% followed by a further 5% decrease?
Give your answer rounded to 2 DP.
Answer:
561.79
Step-by-step explanation:
672 * (100-12)/100 = 591.36
591.36 * (100-5)/100 = 561.792
Help please helpppppppppp
Answer:
2 1/2 inches
Step-by-step explanation:
(See attachment below)
a pizza parlor offers a choice of 1010 different toppings. how many different 33-topping pizzas are there?
The permutation combination is 120 for 3 different topping pizzas are available.
Permutation Combination:
A variety of ways to select objects from a set, usually forming a subset without replacement. The selection of this subset is called a permutation if the order of selection is a factor, and a combination if the order is not a factor. The French mathematicians Blaise Pascal and Pierre de Fermat, in the 17th century, used many chances in his game of combinatorics and probability by considering the ratio of the number of required subsets to the number of all possible subsets stimulated the development of the theory.
The concepts of permutations and combinations and their differences can be illustrated by examining all the different ways of selecting pairs of objects from five identifiable objects such as the letters A, B, C, D and E.
According to the Question:
Given that :
Number of different toppings = 10
Number of Pizzas = 03
therefore,
The permutation combination are :
= 10!/7! 3!
= 15 × 8
= 120.
Therefore, there are 120 different combinations of toppings.
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Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6
Answer:
x = 6
Step-by-step explanation:
4 − 2(2x − 7) = −6.
Distribute
4 -4x +14 = -6
Combine like terms
18-4x = -6
Subtract 18 from each side
18 -4x-18 = -6-18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x = 6
A ribbon surrouds the edge of a circular hat that has a radius of 8 inches. Find the length of the ribbon tot he nearest tenth.
The length of the ribbon to the nearest tenth is 50.3 inches.
To find the length of the ribbon that surrounds the edge of a circular hat that has a radius of 8 inches, we can use the formula for the circumference of a circle.
The formula for the circumference of a circle is given by the following:
C = 2πr
Where C represents the circumference of the circle, π represents the constant value of pi which is approximately equal to 3.14, and r represents the radius of the circle.
Given that the circular hat has a radius of 8 inches, we can use this value to find the circumference of the circle.
Hence, we have: r = 8 inches
C = 2πr
C = 2π(8)C = 16π
The length of the ribbon that surrounds the edge of the circular hat is equal to the circumference of the circle. Therefore, the length of the ribbon is:16π ≈ 50.3 inches (to the nearest tenth)
Therefore, the length of the ribbon to the nearest tenth is 50.3 inches.
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The question is in the photo. Please answer with the correct answer.
Answer:
18ft
Step-by-step explanation:
just add all the sides. since it’s a rectangle, you there is 2 sides that’s 3ft long and that are 6ft long. so you would do 3+3+6+6
Approximately _________ of Americans are in the working class and ________ of the people in the U.S. are lower middle class.
A. 50% and 30%
B. 30% and 34%
C. 40% and 20%
D. 60% and 10%
According to the question Approximately 60% of Americans are in the working class and 80% of the people in the U.S. are lower middle class. The correct answer is D. \(\(60\%\)\) and \(\(10\%\)\).
The working class typically comprises individuals involved in manual labor, skilled trades, or service-oriented jobs. They often earn wages and may have lower income levels compared to other classes.
The percentage of Americans in the working class can vary based on factors such as economic conditions, industry trends, and societal changes. The lower middle class generally includes individuals who have achieved some level of education beyond high school and hold white-collar or technical jobs.
They often have moderate incomes and may have attained some level of financial stability. The percentage of people in the U.S. who fall into the lower middle class can also fluctuate based on economic factors and social dynamics.
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Identify the local maximum and local minimum of the function shown in the graph below. You can assume that the maximum and minimum values lie on whole numbers
Given:
The graph of the function is given.
To find:
The local maximum and a local minimum of the function.
Explanation:
We know that,
The local minimum is a point within an interval at which the function has a minimum value.
So, the local minimum point is,
\((0,1)\)The local maximum is a point within an interval at which the function has a maximum value.
So, the local maximum point is,
\((-3,4)\)Final answer:
The local minimum point is,
\((0,1)\)The local maximum point is,
\((-3,4)\)What is the growth rate for the linear function y=mx+b?
Answer:
m
Step-by-step explanation:
the slope or growth rate of the function is the coefficient of the variable x, which is m in this case
Add.
Negative thirty plus fifteen
Answer: -30 + 15 = -15
Answer:
-30 + 15 = -15
Sue has 18 sweets
Tony also has 18 sweets
Sue gives Tony × sweets
Sue then eats 5 of her sweets
Tony then eats half of his sweets
Write expressions for the amount of sweets Tony and Sue now have
The expressions for the number of sweets that Tony and Sue now have are:
Given:
Sue has 18 sweets
Sue = 18
Tony also has 18 sweets, that is:
Toney = 18
Sue gives Tony × sweets; that is
Sue = 18 - x; and
Tony = 18 + x
Sue then eats 5 of her sweets, Tony then eats half of his ⇒ Sweets:
that is ⇒
Sue = 18 - x - 5
Tony = (18 + x) / 2
Thus, simplifying the above, we have:
Sue = 13 - x
Tony = (18 + x) / 2
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PLEASE HELP!! RIGHT ANDWER GETS BRAINLIST
Answer:
(2,3)
Step-by-step explanation:
y = x/2 + 2 = 0.5x + 2.
also y = x +1.
so 0.5x + 2 = x + 1.
2 -1 = x - 0.5x
1 = 0.5x
x = 2.
y?
y = x + 1 = 2 + 1 = 3.
so (2, 3) is the coordinate solution
A printer is sold for 642$ inclusive of 7% gst.Find the marked price of the printer.
Answer:
the market price of the sprinter is 597.06
Consider the expression 8-6x+x^2, Is the expression equivalent to (x-4)(x-2)?
Answer:
Yes
Step-by-step explanation:
Factoring is the process of breaking a polynomial into its factors.
Standard Form
It is easiest to factor when in standard form. Standard form is when the terms are listed from highest power to lowest.
Standard form is \(x^2-6x+8\)Factoring
To find if two expressions are equal we can either factor the quadratic or multiply out the binomials. I find factoring to be faster and easier, so I will show that.
There are multiple techniques to factor; I will be explaining one of them. One way to factor quadratics is to find 2 numbers that multiply to c (the constant) and sum to b (the second term). In this case, the numbers -4 and -2 fit these requirements.
-4 * -2 = 8-4 + -2 = -6This means that \(x^2-6x+8\) factored is \((x-4)(x-2)\). Thus, they are equivalent.
I will give you 30 points
1. Three examples of situations where consistency is important:
HealthcareFinancial transactionsSports RulesHow do these portray consistency?Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.
Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.
Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.
2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.
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Which of the following statements is true for a function with equation f(x) = 5(3)x?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
What is the function?A function in mathematics is a connection between a set of inputs (sometimes referred to as the domain) and a set of outputs (also referred to as the range). Each input value is given a different output value.
The y-intercept lies at (0, 5) because the value of the function at x=0 is 530 = 5. The 'constant ratio' is 3, meaning that any increment of 1 in x causes the function value to grow by a factor of 3. (That serves as the exponential term's foundation.)
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Missing parts;
Which of the following statements is true for a function with equation f(x) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.
There are 140 pages in a book, 25% of them have pictures. How many pages have pictures?
Answer:
140 x
25%=35 or 140/4 = 35
I think-
Step-by-step explanation:
find the area of the region that lies inside the first curve and outside the second curve. r=1 cos(theta), r=2-cos(theta)
The area of the region that lies inside the first curve and outside the second curve is 2π/3 - 2.
The first step is to find the intersection points of the two curves. The intersection points are at θ = 0, π/2, and 2π.
The next step is to use the polar coordinate formula for area to find the area of each curve. The area of a polar curve is given by the formula A = 1/2 ∫ θ1 θ2 r(θ)^2 dθ.
The area of the first curve is A1 = 1/2 ∫ 0 π/2 (1 cos(θ))^2 dθ = π/3.
The area of the second curve is A2 = 1/2 ∫ 0 π/2 (2 - cos(θ))^2 dθ = 2 - π/3.
The area of the region that lies inside the first curve and outside the second curve is A = A1 - A2 = 2π/3 - 2.
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The western starts at 6:35 pm and ends at 9:10 how long is the movie
Answer: 2 hours and 35 minutes. Aka 2:35
Step-by-step explanation: to find when it starts and ends, subtract 6:35pm by 9:10pm
So 9-6 is 3 and there is a problem when you do 10-35. 35 is bigger which means you have to take away an hour so the 3 becomes a 2 and then you add 60 onto the 10 even though the limit is 60 minutes because it equals an hour. So you now have 2 hours and 70 minutes - 35. Well that is 35 because 35+35 = 70 meaning the movie is 2 hours, 35minutes
Find the distance from the origin to the graph of 7x + 9y + 11 = 0
a.0.96
b.0.98
c.0.97
d.0.99
Answer:
the distancev from 7±9y±11=0 is 0.97
A company has a machine that makes "acceptable" products 98% of the time. If 600 random products are tested, what is the varlance for acceptable products in the sample?
The variance for acceptable products in the sample is 11.76.
How to find the variance for acceptable products in the sample?The variance for a random variable X representing the number of acceptable products in the sample can be determined using the formula:
Var(X) = n * p * (1 - p)
Where:
n is the number of products in the sample
p is the probability of a product being acceptable
In this case, n = 600 and p = 98% = 0.98
Substituting the values into the formula:
Var(X) = 600 * 0.98 * (1 - 0.98)
Var(X) = 600 * 0.98 * 0.02
Var(X) = 11.76
Therefore, the variance for acceptable products in the sample is 11.76.
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When a problem is said to be decidable or undecidable give an example of an undecidable problem?
Example of an undecidable problem is given by the problems in the system created by computer viruses.
What is decidable and undecidable problems?According to the computability theory, the problems that needs either yes or no answer, but it is not possible by any computer programming languages to create exact answer then this computational problem is termed as undecidable problems.
A decidable problem is a decision problem in the computer system that can be solved by an algorithm correctly.
When is a problem said to be decidable or undecidable?
whenever we find a problem for which there is no algorithm available for solve and we are also unable to create any program that can solve the problem exactly in finite time are declared as undecidable problems.
If we find a problem that ask yes or no question about some input and there is programming language available for responding correctly then this particular problem is declared as decidable.
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BEDMAS QUESTIONS
Solve the following.
Show your work.
Round you asnwers to the nearest hundredth
Using BODMAS, the solutions of the expressions are: (1) 9, (2)-12, (3) 0.27, and (4) 0.24
What is BODMAS?We should know that BODMAS is a mathematical approach which means
B=BracketO=OffD=DivisionM=MultiplicationA=Addition S=SubtractionIn each of the expressions, we must follow the approach
1) \(\frac{(6+3)^{2} }{3*9}\)
Simplifying this we have 9²/9=81/9
=9
2) \(\frac{3^{2} -6*2}{(12-8)/2^{2} *10}\)
Using BODMAS we have
(9-12)/4/40
-3÷1/9
⇒-3*4
=-12
(3) \(\frac{4.5+2*2.5^{2}-6 }{8*4+9}\)
Using BODMAS we have
(4.5+2*6.25-6)/32+9
⇒(4.5+12.5-6)/41
=11/41=0.27
4 (\(\frac{3.5+16-2.5^{2} }{10.5-6*11}\))
Using BODMAS we have
(3.5+16-6.25)/10.5-66
Simplifying
(13.25)/-55.5
=0.24
Therefore, the values when simplified are (1) 9, (2)-12, (3) 0.27, and (4) 0.24
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need help asap… plssss
Answer: \(\sqrt{0.15}\) and \(\frac{11}{28}\)
Step-by-step explanation:
First, we will turn the percent into a decimal. A percent divided by 100 becomes a decimal.
42% / 0.42
Next, we will divide \(\frac{3}{8}\) and turn it into 0.375 because it makes them easier to compare.
Lastly, we will compare all the given answer options and see which are greater than 0.375 and less than 0.42.
✗ \(\frac{4}{9}\) = 0.444444
✓ \(\sqrt{0.15}\) = 0.387
✗ 0.3
✗ 3.9
✓ = 0.39
What is 64 divisible by?
Answer:
1, 2, 4, 8, 16, 32, and 64.
Step-by-step explanation:
64/1 = 64
64/2 = 32
64/4 = 16
64/8 = 8
64/16 = 4
64/32 = 2
64/64 = 1
"6 more than 7 times the amount of 10"
Answer: 76
Step-by-step explanation:
Based on the given conditions, formulate: 6+10*7
Calculate the product or quotient: 6+70
Calculate the sum or difference: 76