Using concept of linear equations, Wesley earns $9 commission for selling a pair of shoes and $16 commission for selling a pair of boots.
What is a linear equation ?
A linear equation is an algebraic equation that describes a straight line in a two-dimensional plane. It involves variables that are raised to the first power, such as x, y, or z. A linear equation can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis). The slope represents the rate of change of the line, and the y-intercept represents the value of y when x is equal to zero.
Now,
Let's assume that Wesley earns a certain amount of commission for selling a pair of shoes and a certain amount for selling a pair of boots. Let's call the commission for selling a pair of shoes "S" and the commission for selling a pair of boots "B".
From the given information, we can set up the following system of equations:
9S + 10B = 241 (Yesterday's sales)
7S + 8B = 191 (Today's sales)
We can solve for S and B by using any method of solving linear equations, such as substitution or elimination. Here, we will use the elimination method:
Multiplying the first equation by 8 and the second equation by -10, we get:
72S + 80B = 1928
-70S - 80B = -1910
Adding the two equations, we get:
2S = 18
Therefore,
S = 9
Substituting this value of S into the first equation, we get:
9(9) + 10B = 241
81 + 10B = 241
10B = 160
B = 16
Therefore, Wesley earns $9 commission for selling a pair of shoes and $16 commission for selling a pair of boots.
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CAN SOMEONE HELP ME WITH THIS PLEASE?
Answer:
Y= 4 and X=2
Step-by-step explanation:
When you are trying to find the X or Y value for an equation, set the opposite value to zero. That means that if you are trying to find Y in 6x+3y=12, you would make the X zero. Since six is being multiplied by X and X now equals zero, your equation for finding the Y value is now 3y=12. Divide them both by three and you get Y=4. In order to find your X value you would do the same thing. Since you are trying to find X, set the Y value to zero. That makes your equation for finding the X value 6x=12. That is because, again, you set Y to zero, and three times zero is zero. 6x=12 equals X=2 because you divide both sides by 6.
Answer:4y 2x i need only one brainlist to upgrade my level pls
Ste-by-step explanation:
tanA - secA =
1. sinA-1/cosA
2. sin^2A-cosA
3. cos^2A-1/cosA
Please explain, don’t bother answering if you’re not going to explain. Ty!
Answer:
The answer is 2. sin2A-cosA. This can be seen by using the trigonometric identities sin2A=2sinAcosA and cos2A=cos2A-sin2A. The expression tanA-secA can then be simplified to sinA/cosA-1/cosA, which can be further simplified to (2sinAcosA-cos2A)/cosA, which can be further simplified to 2sinAcosA-cosA, which can finally be simplified to sin2A-cosA.
Last year, Mr. Smith's biology class averaged 73 on their first test. This year, his new class averaged 87 on the same
test. Based on these results, is it reasonable to conclude that this year's class is more intelligent?
Yes, a grade of 87 is higher than a grade of 73.
Yes, the study was done in an academic setting.
No, the experiment was not double-blind.
No, there was no use of a placebo in the experiment.
No, there may be other differences between the two years besides the grades.
E. No, there may be other differences between the two years besides the grades.
This is because every kid is different and Mr. Smith might have just gotten a better group of kids the second year. This is just one factor of many viable options.
May I have brainliest please? :)
X,Y, and Z have joint distribution as follows: f(x,y,z)= xy^2 z / 180
,x=1,2,3;y=1,2;z=1,2,3 Find P(Y=1∣X=2,Z=3).
The probability that Y=1 given X=2 and Z=3 is 1/3.
Given that X, Y, and Z have joint distribution as shown below:
\(f(x, y, z) = \frac{xy^2z}{180}, x=1,2,3;y=1,2;z=1,2,3\)
We need to find \(P(Y=1|X=2, Z=3)\).
Therefore, we can use the conditional probability formula:
\(P(Y = 1 | X = 2, Z = 3) = \frac{P(Y = 1, X = 2, Z = 3)}{P(X = 2, Z = 3)}\)
Now we find the numerator and denominator individually:
Numerator: \(P(Y = 1, X = 2, Z = 3)\)
Here, we fix X=2, Z=3 in the given probability distribution and find the value of Y=1.
\(P(Y = 1, X = 2, Z = 3) = f(2, 1, 3) = \frac{2(1)^2(3)}{180} \\= \frac{1}{15}\)
Denominator: \(P(X = 2, Z = 3)\)
We fix Z=3 in the given probability distribution and sum over all values of Y to get the probability of X=2 and Z=3.
\(P(X = 2, Z = 3) = \sum_{y=1}^{3} f(2,y,3)P(X = 2, Z = 3) = f(2,1,3) + f(2,2,3) + f(2,3,3)\\P(X = 2, Z = 3) = \frac{2(1)^2(3)}{180} + \frac{2(2)^2(3)}{180} + \frac{2(3)^2(3)}{180}\\P(X = 2, Z = 3) = \frac{1}{5}\)
Substituting these values in the conditional probability formula, we get:
\(P(Y = 1 | X = 2, Z = 3) = \frac{P(Y = 1, X = 2, Z = 3)}{P(X = 2, Z = 3)}\\P(Y = 1 | X = 2, Z = 3) = \frac{\frac{1}{15}}{\frac{1}{5}}\\P(Y = 1 | X = 2, Z = 3) = \frac{1}{3}\)
Therefore, the probability that Y=1 given X=2 and Z=3 is 1/3.
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on ran around a track that was 1/8 of a mile long.He ran around the track 24 times.how mant miles did jon run in all?
Answer:
3 miles
Step-by-step explanation:
1/8*24=3
Answer:
Step-by-step explanation:
He ran 24 times around the track1
Circumfrence of track=1/8 Mile
Total distance he covered=1/8*24
Distance = 3 miles
If h(x) is the inverse of f(x), what is the value of h(f(x))? 0 1 x f(x) a.0 b.1 c.x d.f(x)
Answer:
x
Step-by-step explanation:
The composition of a function and its inverse is x.
Question 12 of 17
Which of the following pairs of functions are inverses of each other?
A. f(x)=3(3)-10 and g(x)=+10
-8
B. f(x)= x=8+9 and g(x) = 4(x+8)-9
C. f(x) = 4(x-12)+2 and g(x)=x+12-2
4
OD. f(x)-3-4 and g(x) = 2(x+4)
3
Answer:
Step-by-step explanation:
To determine if two functions are inverses of each other, we need to check if their compositions result in the identity function.
Let's examine each pair of functions:
A. f(x) = 3(3) - 10 and g(x) = -8
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 3(-8) - 10 = -34
Since f(g(x)) ≠ x, these functions are not inverses of each other.
B. f(x) = x + 8 + 9 and g(x) = 4(x + 8) - 9
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 4(x + 8) - 9 + 8 + 9 = 4x + 32
Since f(g(x)) ≠ x, these functions are not inverses of each other.
C. f(x) = 4(x - 12) + 2 and g(x) = x + 12 - 2
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 4((x + 12) - 2) + 2 = 4x + 44
Since f(g(x)) ≠ x, these functions are not inverses of each other.
D. f(x) = 3 - 4 and g(x) = 2(x + 4)
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 3 - 4 = -1
Since f(g(x)) = x, these functions are inverses of each other.
Therefore, the pair of functions f(x) = 3 - 4 and g(x) = 2(x + 4) are inverses of each other.
A researcher conducted a one-sided hypothesis test for a proportion (Ha:p>po) and obtained a test statistic of 4.318. Which of the following are true? Check all that apply. - The observed sample proportion is 4.318 standard deviations above the claimed value po. - The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. - The researcher should fail to reject the null hypothesis. - When the null hypothesis is true, the test statistic comes from a standard normal distribution. - There is a 4.318% chance that the alternative hypothesis is true.
This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.
- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.
- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.
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Which decimal has the greatest value?
I need help fast
The arrangement of the decimal numbers from the greatest value to the lowest value is below!
0.00419486, D0.00154928, B0.001114216, A0.00098455 CWhat are decimal numbers?A decimal number is a number expressed in the decimal system (base 10), especially fractional numbers.
13¼ is 13.25 as a decimal
0.001114216
0.00154928
0.00098455
0.00419486
Hence, the decimal numbers are arranged in the order 0.00419486, 0.00154928, 0.001114216, 0.00098455
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Supposed the average yearly salary of an individual with a master's degree is $22,000 less than twice that of one who has a bachelor's degree. Combined, the two make $116,000. How much is the yearly salary of the individual of who has a master's degree?
The salary of a bachelor's holder is $46,000 and the salary of a master's holder is $70,000
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.
Let the salary of a bachelor's degree be x
Given that master's degree is $22,000 less than twice that of one who has a bachelor's degree
So a master's holder 2x - 22000,
and the combined salaries are given as $116,000.
Thus the info is expressed as:
⇒ x + (2x - 22000) = 116,000.
⇒ 3x = 138000
⇒ x = 46000
Hence the salary of a bachelor's holder is $46,000 and the salary of a master's holder is $70,000
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Evaluate the expression when x=8 and y=7.
64
— -у
x
Answer:
1
Step-by-step explanation:
64 divided by 8 is 8 and - 7 is 1 so your answer is one
what is the ip rating for the yaesu ft-70dr for the rugged construction of the unit?
The ft-70DR is built to commercial grade standards, including the IP54 score for dirt and Water safety, making this radio suitable for operation within the cruelest of environments.
The ft-70DR gives up to 5W of reliable RF strength, and its huge the front Speaker can provide 700mW of Loud Audio Output. due to the fact C4FM has better BER (Bit mistakes fee) traits than different digital modulations, the person can assume super audio nice. the brand new virtual ft-70DR consists of our precise automatic Mode pick out (AMS) feature. AMS detects the working mode of the acquired signal as C4FM virtual or analog FM, after which routinely and immediately switches the receiver to the appropriate mode. customers do not need to manually exchange among modes. The multi-colored LED Mode-Indicator displayed at the the front permits the operator to effortlessly see what mode the ft-70DR is in at any given second.
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Find the number of turns or bumps in the graph of the function f(x) = 7x3 - 14x2 + 2.
The number of turns or bumps in the graph of the function\(f(x)=7x^3-14x+2\) is 2.
What is function?
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.
f = {(a,b)| for all a ∈ A, b ∈ B}
Given,
\(f(x)=7x^3-14x+2\)
Answer has shown in the attached file.
Hence, The number of turns or bumps in the graph of the function\(f(x)=7x^3-14x+2\) is 2.
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For a sales promotion, the manufacturer places winning symbols under the caps of 31% of all its soda bottles. If you buy a six-pack of soda, what is the probability that you win something? The probabilify of winning something is
The probability of winning something in a six-pack is the probability of winning at least onceThe probability of winning something by buying a six-pack of soda is approximately 97.37%.
The manufacturer of soda places winning symbols under the caps of 31% of all its soda bottles. To determine the probability of winning something by buying a six-pack of soda, we can use the binomial distribution.Binomial distribution refers to the discrete probability distribution of the number of successes in a sequence of independent and identical trials.
In this case, each bottle is an independent trial, and the probability of winning in each trial is constant.The probability of winning something in one bottle of soda is:P(Win) = 0.31P(Lose) = 0.69We can use the binomial probability formula to find the probability of winning x number of times in n number of trials: P(x) = nCx px q(n-x)where:P(x) is the probability of x successesn is the total number of trialsp is the probability of successq is the probability of failure, which is 1 - pFor a six-pack of soda, n = 6.
To win something, we need at least one winning symbol. Therefore, the probability of winning something in a six-pack is the probability of winning at least once: P(Win at least once) = P(1) + P(2) + P(3) + P(4) + P(5) + P(6)where:P(1) = probability of winning in one bottle and losing in five bottles = nC1 p q^(n-1) = 6C1 (0.31) (0.69)^(5)P(2) = probability of winning in two bottles and losing in four bottles = nC2 p^2 q^(n-2) = 6C2 (0.31)^2 (0.69)^(4)P(3) = probability of winning in three bottles and losing in three bottles = nC3 p^3 q^(n-3) = 6C3 (0.31)^3 (0.69)^(3)P(4) = probability of winning in four bottles and losing in two bottles = nC4 p^4 q^(n-4) = 6C4 (0.31)^4 (0.69)^(2)P(5) = probability of winning in five bottles and losing in one bottle = nC5 p^5 q^(n-5) = 6C5 (0.31)^5 (0.69)^(1)P(6) = probability of winning in all six bottles = nC6 p^6 q^(n-6) = 6C6 (0.31)^6 (0.69)^(0)Substitute the values:P(Win at least once) = [6C1 (0.31) (0.69)^(5)] + [6C2 (0.31)^2 (0.69)^(4)] + [6C3 (0.31)^3 (0.69)^(3)] + [6C4 (0.31)^4 (0.69)^(2)] + [6C5 (0.31)^5 (0.69)^(1)] + [6C6 (0.31)^6 (0.69)^(0)]P(Win at least once) ≈ 1 - (0.69)^6 = 0.9737 or 97.37%.
Therefore, the probability of winning something by buying a six-pack of soda is approximately 97.37%.
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Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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Once we have categorized an object, our memory of the object increasingly resembles thecategoryA) algorithm.B) prototype.C) heuristic.D) mental set
Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.
This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.
our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.
A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.
Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.
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what is 2 3/5 x 1 3/7 ?
336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
What is the product?
5
-2
Х
-6 2
-the answer is -3
4
.....
please help me with this :))
Hey love! <3
Answer:
Your answer is 306 units^2!
Step-by-step explanation:
Let's work this out together!
First let's find the top and bottom square's area.
6 x 15 = 90
Since there are not only two of those shapes but THREE, 90 x 3= 270.
So 270 is the surface area of the middle rectangles.
Step 2! Let's find the area of these triangles. We know that both of the triangles are 6 on each side.
Think back to geometry formulas. The formula for finding the area of a triangle is different then a square.
Triangle formula: Base x Height / 2 = A
Rectangle formula: Base x Height = A
So 6 x 6 is 36, now we have to divide it by two; which equals 18.
Since there are TWO triangles, we multiply 18 by two giving us the total surface area of the triangles, 36.
Now let's add our products together!
36 + 270 = 306
Thus the total surface area being 306 units^2
Hope this powers up that very-brainly brain of yours! Be sure to drop Brainliest (Only if you want to! No pressure) ( ಠ◡ಠ ) Sincerely, Kelsey from Brainly.
~ #LearnWithBrainly ~
HELP ASAP
Name the 4 pairs of coordinates of the locus of points that are both 10 units from the origin and 8 units from the x-axis?
The four pairs of coordinates for the locus of points that are both 10 units from the origin and 8 units from the x-axis are (6, 8), (-6, 8), (6, -8), and (-6, -8).
To find the locus of points that are both 10 units from the origin and 8 units from the x-axis, we can use a combination of the distance formula and the Pythagorean theorem. Let's denote the coordinates of a point on the locus as (x, y).
From the distance formula, the distance between the origin (0, 0) and (x, y) is given by \(\sqrt(x^2 + y^2)\). So, for a point to be 10 units from the origin, we have the equation \(\sqrt(x^2 + y^2) = 10.\)
Similarly, the distance between (x, y) and any point on the x-axis is simply the y-coordinate, |y|. Since we want the point to be 8 units from the x-axis, we have |y| = 8.
Now we can solve these two equations simultaneously to find the coordinates. There are four pairs of coordinates that satisfy these conditions: (6, 8), (-6, 8), (6, -8), and (-6, -8).
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A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.
SCREENSHOT OF GRAPH! HELP
Answer:
0.5 cm
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Formula for slope = \( m = \frac{y_2 - y_1}{x_2 - x_1} \)
Let,
\( (3, 5.5) = (x_1, y_1) \)
\( (8, 8) = (x_2, y_2) \)
\( m = \frac{8 - 5.5}{8 - 3} \)
\( m = \frac{2.5}{5} \)
\( m = 0.5 \)
0.5 cm is gained per cup added.
The rise in height per cup will be 0.5 cm.
Given information:
The given graph displays the height of the stack in centimeters for different numbers of cups.
The given points on the graph are (3,5.5) and (8,8).
Now, the slope of the line joining these two-point will give the rise per cup.
So, the slope will be calculated as,
\(m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5\)
So, the slope is 0.5 centimeters per cup.
Therefore, the rise in height per cup will be 0.5 cm.
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The total cost C(g) of producing q goods is given by: C(q) = 0.01q^3 - 0.6q^2+ 12qWhat is the fixed cost?fixed cost = ____dollarsWhat is the maximum profit if each item is sold for 10 dollars? maximum profit = ____dollars
Answer:
Explanations:
се
у
What is the rule for the reflection?
В
4
2
2
Ory=(x, y) — (-y-x)
огу (x, y) — (-у, -х)
Огу (x, y) — (y, x)
(x, y) — (y, x)
о
х
A
--2
|
2
2
4
-2A"
В!
C
Answer:
Below.
Step-by-step explanation:
Reflection in x-axis: (x, y) ----> (x, -y). (x value stays the same)
Reflection in y-axis: (x, y) ----> (-x, y). ( y value stays the same)
the slope of a street is 0.54. if it covers 28m of horizontal distance, what is the rise of the street?
Answer: i believe its 15.12
Step-by-step explanation:
Add.
(6x³ + 3x² − 2) + (x³ - 5x² − 3)
Express the answer in standard form. (Please and thank you)
Answer:
\(\\\sf7x^3 - 2x^2 - 5\)
Step-by-step explanation:
\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)
Remove parenthesis.
6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3
Rearrange:
6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3
Combine like terms to get:
7x^3 - 2x^2 - 5----------------------------------------
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Hope this helps! :)
Answer:
7x³ - 2x² - 5
Step-by-step explanation:
(6x³ + 3x² - 2) + (x³ - 5x² - 3)
Remove the round brackets.
= 6x³ + 3x² - 2 + x³ - 5x² - 3
Put like terms together.
= 6x³ + x³ + 3x² - 5x² - 2 - 3
Do the operations.
= 7x³ - 2x² - 5
____________
hope this helps!
think about your children blue will help take care of that he wont try to "build a wall" so mexicans cant visit there familes
Answer:
Exactly. Under Trump so many families have gone missing and children are without their parents. He is such a horrible person and the fact that people actually like him mean they are ignorant and gullible or just as much of a racist as he is.
Step-by-step explanation:
Vote Biden 2020 #republicansforBiden
Can someone plz correct me plz I beg u
Answer:
mean is when you add all the numbers up and divide by how many numbers there are.
ok just saw your other comment for help, hope this isn't too late but the answer would be 35.2
Rounded: 35
hope it helped :)
In which expression should the following exponents be multiplied?
2^9/2^7
A. all real number
B. x>0
C. x>2
D. y>0
E. y>-1
F. y>2
Answer:
domain = E
range = (-&,&)
Step-by-step explanation: solved by graphing calculator