Answer:
Look below
Step-by-step explanation:
To verify that the solution is (3,4) we can plug the numbers back into the equation.
Remember that the solution to a linear equation is represented in the form (x,y). Therefore we plug 3 in for x and 4 in for y.
4=3+1
4=4 Correct!
Now we need to check the second equation
4=-2(3)+10
4=-6+10
4=4 Correct!
Therefore the solution is (3,4)
which of the following number lies between 5595 and 5610 a=5509 b=5590 c=5605
Answer:
The answer is c which is=5605
Answer:
C.
Step-by-step explanation:
Since there's no sequence of numbers, we assume that the number that lies between 5,595 and 5,610 is the mean of the 2 numbers.
However, if we calculate its mean, we can have 5,602.5 and it doesn't appear on any options. Thus, we will choose the nearest value from those options.
Ana conducts a study using a /-test to see if there is a difference in the mean number of cups of coffee consumed between men and women. The null hypothesis would state that the population mean number of cups of coffee that women drink would _______ the population mean number cups of coffee that men drink.
The null hypothesis would state that the population mean number of cups of coffee that women would drink 32% the population mean number cups of coffee than men drink.
What is meant by percentage?The term "percentage" comes from the Latin phrase "per centum," which means "by the hundred." With 100 as the denominator, percentages are fractions. In other words, it is a relationship where the value of the entire is always assumed to be 100.
Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam received 30% on his math test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.
A certain number or quantity in every hundred is referred to as a percentage. It is a fraction, and the denominator is 100.
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The speed a car travels is 60 kilometers per hour, and the distance it travels is 60t kilometers, where t represents the time, in hours, the car travels.
Problem:
What is the distance the car travels if t = 5 hours?
Answer:
300 kilometers
Step-by-step explanation:
I believe this is the answer since you should replace the variable t with the number which in this case is 5 so it would be
60(5) which equals 300
Answer:
300
Step-by-step explanation:
True or False: If there is a vertical asymptote at x = a for the Function f(x), then f is undefined at the point x = a
Answer:
False.
Step-by-step explanation:
Answer: True
One example would be f(x) = 3/(x-2). Here the 'a' value is a = 2.
Plugging x = 2 into f(x) leads to a division by zero error. Visually the graph will have a vertical asymptote through 2 on the x axis. The vertical asymptote is like an electric fence in which the graph slowly approaches but never touches or crosses.
Jana needs to rent a moving van for one day. Reliable Rentals charges $20 for the day and $0.50
for each mile. Dependable Rentals charges $10 for the day and $0.80 for each mile. Jana wrote
and solved the equation below to find the number of miles for which the costs of renting from the
companies will be the same. She used m to represent the number of miles.
20-0.5m= 10+ 0.8m
20= 10 + 1.3m
10 = 1.3m
= 13 = 100 = 77/3
The costs will be equal if the van is driven about 8 miles.
m=
Answer:
20 + .50M = 10 + .80M subtract .50M, 10 from both sides
10 = .30M divide both sides by .30
10 / .30 = M = about 33 + 1/3 miles driven equalize the cost
[Jana used " -.50M" in the original set up instead of " +.50M" ]
Step-by-step explanation:
The table below represents a quadratic function. Use the data in the table to
determine the domain and range of the function.
x
-1
0
1
4
y
5
3
5
35
The domain is all real numbers and the Range is y ≥ 3.The correct answer is option A.
To determine the domain and range of the quadratic function based on the given table, let's analyze the values.
Domain represents the set of possible input values (x-values) for the function.
Range represents the set of possible output values (y-values) for the function.
From the given data:
x = -1, 0, 1, 4
y = 5, 3, 3, 5, 35
Looking at the x-values, we can see that the function has values for all real numbers. Therefore, the domain of the function is "all real numbers."
Now, let's consider the y-values. The minimum value of y is 3, and there are no y-values less than 3.
Additionally, the maximum value of y is 35. Based on this information, we can conclude that the range of the function is "y ≥ 3" since all y-values are greater than or equal to 3.
Therefore, the correct answer is:A. Domain: all real numbers
Range: y ≥ 3
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The probable question may be:
The table below represents a quadratic function. Use the data in the table to determine the domain and range of the function.
x= -1,0,1,4
y= 5,3,3,5,35
A. Domain: all real numbers Range: y ≥3
B. Domain: all real numbers
Range: x≥0
c. Domain: all real numbers
Range: y ≥0
D. Domain: all real numbers
Range: y ≤3
Can you guys Helpp me
Answer:
it would be 4
Step-by-step explanation:
You are the marketing manager for Coffee Junction. The revenue for the company is given by R(x)=− 32x 3+6x 2+18x+4 where R(x) is revenue in thousands of dollars and x is the amount spent each month on advertisement, in thousands of dollars. 0≤x≤25 a) At what level of advertising spending does diminishing returns start? Explain What this diminishing returns means for this company. b) How much revenue will the company earn at that level of advertising spending? c) What does 0≤x≤25 tell us with respect to this problem?
a) Diminishing returns start at x = 1, where the marginal revenue will be less than the marginal cost
b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
a) At what level of advertising spending does diminishing returns start?
Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.
b) How much revenue will the company earn at that level of advertising spending?
At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) What does 0≤x≤25 tell us with respect to this problem?
In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
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If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have?
The question is incomplete:
The total distance of a race is 18.9 km.
If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have?
Answer:
They will have 27 stations.
Step-by-step explanation:
In order to find the answer with the information provided, you have to divide the total distance of the race by 0.7 that is the distance at which the volunteers will set up the water stations:
18.9/0.7= 27
According to this, the answer is that they will have 27 stations.
Please help I suck at maths Tysm if you do
a) The principal of the account is given as follows: 1238.27 euros.
b) The interest rate of the account is given as follows: 4.3%.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.We can take the ratio between the balances two consecutive years to obtain the interest rate as follows:
r = 1569.4/1504.5 - 1
r = 1.0431 - 1
r = 0.043
r = 4.3%.
After 5 years, the balance was of 1504.50, hence the principal is obtained as follows:
1504.5 = P(1 + 0.043 x 5)
P = 1504.5/(1 + 0.043 x 5)
P = 1238.27 euros.
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with multivariate regression, one variable is used to predict another variable using the formula for a straight line. true false
With bivariate regression, one variable is used to predict another variable using the formula for a straight line. A straight-line relationship underlies regression, but is not a powerful predictive model. So, this statement is False.
In every regression analysis, we employ one or more explanatory variables to assist explain or predict the response variable. These variables may also be referred to as dependent or response variables.
Predictor or independent variables are the many risk factors and confounding factors.
Regression analysis, a method for determining the association between one or more risk variables and a certain outcome variable, includes these definitions.
In order to forecast the value of the single dependent value, multiple regression analysis uses independent variables whose values are known. Each predictor value is given a weight, with the weights indicating how much each predictor contributed to the final forecast.
You can determine the degree to which each independent variable has a linear connection with the dependent variable using a multiple regression model. This is helpful because it enables you to estimate future outcomes by enabling you to understand which elements are likely to impact a specific outcome.
Therefore,
With bivariate regression, one variable is used to predict another variable using the formula for a straight line. A straight-line relationship underlies regression, but is not a powerful predictive model. So, this statement is False.
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Gcf of 5y^2, 10y, 30
Geometry came from two Greek words geo and _____, which means earth measurement.
Answer:
Metric
"Metric" means a unit, or measurement.
Hope this helps, have an awesome day! ♣
Can I have brainliest?
ADE
See your levels
()) Luca has already baked 17 pies, and he can bake 4 pies with each additional cup of
sugar he buys. How many additional cups of sugar does Luca need in order to bake a total
of 45 pies?
additional cups of sugar
Submit
Answer:
7 cups of sugar
Step-by-step explanation:
Find out how many pies Luca need to bake left =
45 - 17 = 28
1 cup of sugar = 4 pies
28 ÷ 4 = 7 cups of sugar
This may be wrong as this was rushed as I have to go for my next class now.
help thank you very much
Answer:
B: 76
Step-by-step explanation:
I have to put an explanation.I don't have an explanation.
why the number3.456456... is irrationnal
The number 3.456456 is a rational number, as the decimal digits of the number follow the 456 pattern.
What are rational numbers?Rational numbers are the whole numbers plus decimals that can be represented by fractions, involving both positive and negative numbers.
Among examples of rational numbers, we have that:
Terminating decimals.Non-terminating decimals in which the decimal digits follow a pattern.The number used in this problem is given as follows:
3.456456...
Which is a rational number, because the decimal pattern is:
456.
Meaning that the sequence 456 repeats infinitely on the decimal digits.
Now, the number would be irrational if a different digit appeared on the pattern, for example:
3.4567456456...
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100 POINTS WILL MARK BRAINLIEST x^2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)^2 = q, where p and q are integers? Subtract 5 from both sides of the equation Add 3 to both sides of the equation Add 5 to both sides of the equation Subtract 3 from both sides of the equation
Answer:
We will add 3 to each side of the equation
Step-by-step explanation:
x^2 − 8x + 13 = 0
We want to complete the square
We will subtract 13 from each side of the equation
x^2 -8x +13 -13 = 0 -13
x^2 -8x = -13
Then take the coefficient of x
-8
Divide by 2
-8/2 = -4
Square it
(-4)^2 = 16
Add this to each side
x^2 -8x +16 = -13+16
( x-4) ^2 = 3
The sum of subtracting 13 and adding 16 is adding 3
Answer:
It is Subtract 3 from both sides of the equation
Step-by-step explanation:
suppose an airport metal detector catches a person with metal 80% of the time. that is, it misses detecting a person with metal 20% of the time. assume the independence of people carrying metal. what is the probability that the first metal-carrying person missed (not detected) is among the first 50 metal-carrying persons scanned?
If the first 50 metal-carrying persons are scanned, there is a very high probability of 0.9998 (approximately) that the first person who is carrying metal will not be missed (not detected).
The probability that the first metal-carrying person missed (not detected) is among the first 50 metal-carrying persons scanned can be calculated by using the concept of Binomial probability distribution.
Suppose p = 0.2 (Probability of not detecting a metal-carrying person) and q = 0.8 (Probability of detecting a metal-carrying person).
The probability that the first metal-carrying person missed (not detected) is among the first 50 metal-carrying persons scanned can be calculated as follows:P (the first metal-carrying person missed (not detected) is among the first 50 metal-carrying persons scanned)P (X ≤ 50) = P (X = 1) + P (X = 2) + .......+ P (X = 50)
Here, X represents the number of metal-carrying persons that are missed (not detected).
Therefore, we need to calculate the cumulative probability for X = 1 to 50, where X follows a binomial distribution with n = 50 and p = 0.2.P (X ≤ 50) = ∑P (X = r), r = 1 to 50P (X = r) = C(50, r) pr q50 - rP (X ≤ 50) = P (X = 1) + P (X = 2) + .......+ P (X = 50)P (X ≤ 50) = ∑P (X = r), r = 1 to 50P (X ≤ 50) = ∑C(50, r) pr q50 - rW
Here C(50, r) = n! / r! (n-r)!
On substituting the values of p and q, we get, P (X ≤ 50) = ∑C(50, r) (0.2) r (0.8)50 - r, r = 1 to 50On solving the above expression, we get the probability that the first metal-carrying person missed (not detected) is among the first 50 metal-carrying persons scanned as 0.9998.
Therefore, the probability that the first metal-carrying person missed (not detected) is among the first 50 metal-carrying persons scanned is 0.9998 (approximately).
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the parabolic antenna gain equation tells us what? g=η(πd/λ)2
The parabolic antenna gain equation, g = η(πd/λ)², relates the gain (g) of a parabolic antenna to the antenna diameter (d), wavelength (λ), and efficiency (η), enabling the quantification and optimization of antenna performance for various applications.
The parabolic antenna gain equation, g = η(πd/λ)², relates the gain (g) of a parabolic antenna to the antenna diameter (d), wavelength (λ), and efficiency (η). Here's a breakdown of the equation:
πd/λ:
This term represents the ratio of the antenna diameter (d) to the wavelength (λ). It determines the angular resolution and directivity of the antenna. A larger diameter or smaller wavelength results in a higher ratio, leading to increased gain.
(πd/λ)²
: Squaring the ratio enhances the directivity and amplification of the antenna. It signifies the concentration of the electromagnetic signal into a narrower beam.
η:
The efficiency factor accounts for losses in the antenna system, including reflection, absorption, and scattering. It represents the fraction of power effectively radiated or received by the antenna.
By multiplying the efficiency by the squared ratio, we obtain the overall gain of the parabolic antenna.
Therefore, the parabolic antenna gain equation provides a quantitative relationship between the gain of the antenna, its diameter, wavelength, and efficiency. Understanding this equation allows engineers and researchers to optimize antenna performance for various applications, such as telecommunications, radio astronomy, and satellite communications.
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Help me plsssssssssss i don't have a lot of time hurry no links or files they are viruses help
Answer:
Flat charge = $8
Per mile charge = $1.75
Let miles covered be x
cost for the distance covered be y
y = 8 + 1.75x
Independent variable xDependent Variable yEquation y = 1.75x + 8Cost Table
x: 4 5 6 7 8 9 10
y: 15 16.75 18.50 20.25 22 23.75 25.50
a student claims that a 180 degree rotation of a vertical angle will always map to the other vertical angle thus proving that they are congruent. the teacher asks how the student knows that 180 degrees will land it exactly on the vertical angle. how should the student respond ?
Given: A 180 degree rotation of a vertical angle will always map to the other vertical angle
To Determine: The prove that the vertical angles are congruent
Draw and label to vertical lines with an angle
The 180 degree rotation of the vertical angle BOC would give:
Note that the other vertical would be AOD
The students should respond that
\(\begin{gathered} m\angle BOC\cong m\angle\text{AOD} \\ \text{This is because vertically opposite angles are equal} \end{gathered}\)Hence, the 180 degree rotation of a vertical angle will always map to the other vertical angle which are congruent to each other because:
The vertical angles are vertically opposite to each other
Help , I don’t know how to solve this
Answers in bold:
S9 = 2
i = 20
R = -2
=====================================================
Explanation:
\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.
Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.
Here is the scratch work for computing terms S1 through S4.
\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)
Then here is S5 though S8
\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)
And finally we arrive at S9.
\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)
--------------------
Because we have an arithmetic sequence, there is a shortcut.
\(a_n\) represents the nth term
S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.
\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)
In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)
let a,b, and c be real numbers where a ≠ b≠c≠0. which of the following functions could represent the graph below?
The function will be f(x) = x²(x - a)²(x - b)(x - c). Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The factor of the function will be
(x - 0), (x - a), (x - b), and (x - c)
Then the function will be
Then the function can be written as
f(x) = x²(x - a)²(x - b)(x - c)
Then the correct option is A.
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Answer:
The answer on Edge is Choice A
Step-by-step explanation:
Which equation represents a line which is parallel to the line
x + 3y = 21?
1. y=-3x+1
2. y=x-3
3. y = 3x - 5
4. y=-x-7
Answer:
4 or y=-1/3x-7
an hyperboloid is a 3d shape whose cross sections are hyperbolas. a nuclear cooling tower is in the shape of a portion of a hyperboloid. a cross section of the cooling tower can be modeled by the hyperbola shown below, centered at the origin and opening left/right. if the smallest diameter of the cooling tower is 180 m and the diameter is 195 m at its highest point, 80 m above, write the equation of the hyperbola.
The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.
We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.
Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).
The left/right opening of the hyperbola indicates that the primary axis is horizontal.
The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.
The primary axis' 195 m length and the diameter at its highest point are matched.
The hyperbola's highest point is 80 metres above the centre.
These characteristics allow us to write the hyperbola's equation in standard form:
(x - h)²/a² - (y - k)²/b² = 1
Where (h, k) represents the center of the hyperbola.
Substituting the given values:
Center: (h, k) = (0, 0)
Minor axis: 2a = 180 m, so a = 90 m
Major axis: 2b = 195 m, so b = 97.5 m
Vertical shift: c = 80 m
Now we can write the equation of the hyperbola:
x²/90² - y²/97.5² = 1
Simplifying, we have:
x²/8100 - y²/9506.25 = 1
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quizlet katrina and david can both produce pizzas and loaves of bread. in one hour, katrina can produce 10 pizzas or 15 loaves of bread. in one hour, david can produce 8 pizzas or 16 loaves of bread. each person has 6 hours to spend baking.
If each has 6 hours to spend baking, Katrina can produce 60 pizzas and 90 loaves of bread, while David can produce 48 pizzas and 96 loaves of bread.
To find out how many pizzas and loaves of bread each person can produce in 6 hours, we can multiply their hourly production rates by 6.
For Katrina:
In one hour, Katrina can produce 10 pizzas. So in 6 hours, she can produce 10 * 6 = 60 pizzas.
In one hour, Katrina can also produce 15 loaves of bread. So in 6 hours, she can produce 15 * 6 = 90 loaves of bread.
For David:
In one hour, David can produce 8 pizzas. So in 6 hours, he can produce 8 * 6 = 48 pizzas.
In one hour, David can also produce 16 loaves of bread. So in 6 hours, he can produce 16 * 6 = 96 loaves of bread.
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You borrow $450 to pay for a laptop. The interest rate is 2.8%. After 18 months, how much interest do you owe?
Answer:
226.8%
Step-by-step explanation:
The principal is $450
Interest is 2.8%
Time is 18 months
Therefore the interest can be calculated as follows
= 450×2.8×18/100
= 22,680/100
= 226.8 %
Hence the interest is 226.8%
Can I get some help on this? I keep on getting it wrong and I don't know what happened.
I know they are congruent figures.
The two figures are not similar and hence will not exactly map to each other
What are similar polygonsIn math, two polygons qualify as similar only under the following condition:
Corresponding angles being congruent: this indicates that one polygon's angles match measurements with objectivity to another.Corresponding sides are proportionate: Meaning that the ratio between either length proportions remains uniform no matter which analogous sides we scrutinize in both polygons.In the polygon the ratio of the sides are not proportional. the sides are
Red: 3 units x 3 units
Blue: 1.5 units x 4 units
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Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.5?
a. 0.1915
b. 0.0000
c. 1.0000
d. 0.3413
Answer:
B
Step-by-step explanation:
To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.
Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).
Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.
Thus, the value of z when the area to the right of z is 0.5 is 0.
Therefore, the correct option is b. 0.0000.
Derek can do 50 pushups. Roger can do
8% fewer than Derek can do. How many
pushups can Roger do?
Answer: 40
Step-by-step explanation: 50x0.8=40
Okay, maybe im wrong? But i dont see how its 4 thats more than half.
Rodger can do 46 pushups.
50 * 0.92 = 46
Edit: To better clarify, 0.92 is from 1.00 - 0.08.
... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92
Keep in mind that:
1.00 = 100%
0.08 = 8%
0.92 = 92%
After finding this you may multiply 50 * 0.92 to get 46.