A man buys a egg at 0.55t a score. He finds that 10% of the eggs are unsaleable but sells the rest at 0.60t a dozen. Suppose he buys 440 eggs. Find his percentage profit close to 3 decimal places.
The man's percentage profit based on the sales revenue and close to 3 decimal places is 38.889%.
What is the percentage profit?Profit is the difference between total revenue and total costs.
The total costs include both variable and fixed costs.
The percentage profit is an expression of the profit based on either the costs or the sales revenue.
Data and Calculations:Cost price per score = 0.55t
Cost price per t = 0.55/20
t = 440 eggs
The total cost of eggs bought = $12.10 (0.55/20 x 440)
Unsaleable eggs = 44 eggs (440 x 10%)
Selling price per dozen of 396 eggs = 0.60t
Selling price per egg = $0.05 (0.60/12)
The total sales revenue = $19.80 ($0.05 x 396)
Profit = $7.70 ($19.80 - $12.10)
Profit percentage based on sales revenue = 38.889% ($7.70/$19.80 x 100)
Profit percentage based on costs = 63.636% ($7.70/$12.10 x 100)
Thus, the man's percentage profit close to 3 decimal places is 38.889%.
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Which is equivalent to
Answer:
2·2·2·2 = 16
Step-by-step explanation:
everytime a number is raised by another, that means you are going to multiply the base number times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:
2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:
2² = 2 · 2 = 4
2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:
2³ = 2 · 2 · 2 = 8
In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:
2^4 = 2·2·2·2 = 16
the same format will be used regardless of the base number and the exponent
i hope this helps! :)
PLEASE HELP EASY!!!!!!
Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.
What salary will workers have in each salary?Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.
On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.
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The perimeter and area of a rectangle are 22 cm
and 30 cm² respectively. Find the length and
breadth of the rectangle
The perimeter and area of a rectangle are (5,6) and (6,5).
The perimeter method for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. when you are given the size of a square form, you may simply plug within the values of L and W into the formula that allows you to clear up for the fringe.
A perimeter is a closed course that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional period. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has several practical programs.
The perimeter P of a rectangle is given by means of the method, P=2l+2w, in which l is the period and w is the width of the rectangle. The place A of a rectangle is given with the aid of the components, A=lw, wherein l is the length and w is the width.
The perimeter of the rectangle:
P=2l+2w=22
divide 2 into both sides
l+w=11 -------------> (1)
w=11-l
Area of the rectangle:
l*w=30
l(11-l)=30
11l-l^2-30=0
l^2-11l+30=0
By factor method,
(l-5)(l-6)=0
l=5,6.
Substitute this value in w,
l=5 implies w=6
l=6 implies w=5
There we have two solutions.
The length and breadth of the rectangle is
(5,6) and (6,5).
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I need explanation for example 8.
Thankyou
There is a probability of 94/315 that the problem will be solved.
We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.
The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.
The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.
The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.
The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.
To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:
2/7 + 4/7 + 4/9 = 94/315
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5) If the local professional basketball team, the Sneakers, wins today's game, they have a 2/3 chance of winning their next game. If they lose this game, they have a 1/2 chance of winning their next game.
A) Make a Markov Chain for this problem; give the matrix of transition probabilities and draw the transition diagram.
B) If there is a 50-50 chance of the Sneakers winning today's game, what are the chances that they win their next game?
C) If they won today, what are the chances of winning the game after the next?
Answer:
If they win today's game, the probability to win the next game = 2/3
Therefore the probability that they lose the next game when they win today's game = 1-(2/3) =1/3.
If they lose today's game, the probability to win the next game = 1/2
so, the probability to lose is 1/2.
a) \(\begin{bmatrix} \frac{2}{3}&\frac{1}{2} & \\\\ \frac{1}{3}&\frac{1}{2} & \end{bmatrix}\)
b) \(p=\begin{bmatrix} \frac{1}{2}\\\\ \frac{1}{2} \end{bmatrix}\)
\(p^{'} =\begin{bmatrix} \frac{7}{12}\\\\ \frac{5}{12} \end{bmatrix}\)
c) Let them win today's game
\(p=\begin{bmatrix} 1\\ 0 \end{bmatrix}\\\\\\p^{'} =\begin{bmatrix} \frac{2}{3}\\\\\frac{1}{3} \end{bmatrix}\)
\(p^{''}= \left[\begin{array}{c}\frac{11}{18} \\\\\frac{7}{18} \end{array}\right]\)
The chances that they win their next game are 58.33%, while if they won today, the chances of winning the game after the next are 38.88%.
ProbabilitiesGiven that if the local professional basketball team, the Sneakers, wins today's game, they have a 2/3 chance of winning their next game, while if they lose this game, they have a 1/2 chance of winning their next game, to determine, if there is a 50-50 chance of the Sneakers winning today's game, what are the chances that they win their next game, and determine, if they won today, what are the chances of winning the game after the next, you must perform the following calculations:
(2/3 + 1/2) / 2 = X1,666 / 2 = X0.58333 = X((2/3 + 1/2 / 2) x 2/3 = X0.58333 x 0.666 = X0.3888 = XTherefore, the chances that they win their next game are 58.33%, while if they won today, the chances of winning the game after the next are 38.88%.
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what is 10 (x^2) + (y +1) for x=2, y=3
Answer:
44
Step-by-step explanation:
First you need to plug in your given numbers:
10(2^2)+(3+1)
Now you need to solve in the parenthesis:
2^2=4 3+1=4
10(4)+4
Now distribute:
10*4=40
40+4
Now you can solve:
40+4=44
Answer is 44
Hope this helped!
amelia needs to buy some cat food at the nearest store 2 bags of cat food is 6.50. How much would it be if amelia bought 3 bags?
Answer:
$9.75
Step-by-step explanation:
We have all we need to solve for Bag #3.
2 bags equal $6.50.
We want 3 bags, not 4. So we need to divide the original cost by 1/2.
$6.50 divided by 1/2 is $3.25
Now we add an additional $3.25 to the original $6.50
What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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Does the graph represent a function and if so, why?
A. Yes, no two ordered pairs on this graph have the same first element.
B. No, there is a limited number of ordered pairs on this graph.
C. No, there is no value for x = 0.
D. Yes, no two ordered pairs on this graph have the same second element.
Answer: choice A
Step-by-step explanation:
The graph represents a function because no two ordered pairs on this graph have the same first element(x-value).
No two ordered pairs on this graph have the same first element. is correct.
Option (B) is correct.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The graph shows the different points discreate order.
For a set of ordered pairs to be a function, there must not be any two points that have the same first elements.
This means that, the x-coordinates must not repeat for any two given points.
The graph given represents a function because, no two ordered pairs on this graph have the same first element.
Hence , no two ordered pairs on this graph have the same first element. is correct.
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Kyle buys a bag of cookies that contains 4 chocolate chip cookies, 9 peanut butter cookies, 9 sugar cookies and 7 oatmeal cookies. What is the probability that Kyle randomly selects a sugar cookie from the bag, eats it, then randomly selects a peanut butter cookie
A. Is the relation function? Explain.
The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2
What is the domain of a function?Domain is defined as the set of values of independent variables.
In the question, all x coordinates are domain.
What is the range of a function?In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.
The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.
hence, this graph is plotted from a function.
from the graph we get the domain as {-4, -2, 0, 2, 4}
the ranges are = {-3, -2, -1, 1, 3}
we get, y=3 for the value of x= 2
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If 4x-3=5, what is the value of x
Answer: the answer is two :)
Step-by-step explanation:
4x=5+3
4x=8
x= 8/4
x=2
There are 7 newborn puppies in a litter. These
are their weights in ounces: 8.8, 9.4, 12.7, 13.5,
13.6, and 16.7.
What is the interquartile range of their weights?
Answer:
1
Step-by-step explanation:
which has the greater magnitude 47 dollars or -86 dollars
Answer:
47 dollars.
Step-by-step explanation:
What is the surface area of the rectangular prism?
324 cm 2
288 cm 2
120 cm 2
216 cm 2
Answer:
288 cm²
Step-by-step explanation:
SA(rect prism) = 2(l · w) + 2(w · h) + 2(l · h)
= 2(6 x 12) + 2(6 x 4) + 2(4 x 12)
= 144 + 48 + 96
= 288
Answer:
The answer is 288 im am 100% sure
Step-by-step explanation:
plus iv done this before so i know the answer
1.) Solve the following equation for w: 3w-4(w-3) = 6
Answer: w=6
Step-by-step explanation: 1. Simplify. Distribute the -4 to the w and the -3. -4*w is -4w and -4*-3 is +12, so your left with 3w-4w+12=6.
2. simplify again. 3w-4w is -w.
3. -w+12=6. Subtract w to both sides, so its -w=-6. The negatives cancel out, so w just equals 6.
Which of the following best describes the graph of the logarithmic function
given below?
F(x) = logo.316 %
O A. Translation
O B. Decreasing
C. Reflection
O D. Increasing
Answer:
decreasing
Step-by-step explanation:
The graph gives the curve is decreasing.
Option B is the correct answer.
What are logarithms?The logarithm is the inverse function of exponentiation in mathematics. That is, the exponent to which b must be raised to obtain x is the logarithm of a number x to the base b.
The given logarithmic function is .
log (base 0.316)x
Graph the logarithm using the vertical asymptote and a few selected points.
Vertical Asymptote: x=0
The coordinate points to plot on graph are (1, 0), (2, -0.6016) and
(3, -0.9536).
If we plot these points on the graph then we can see the curve is decreasing.
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A game of Blackjack or “21” is played with a regular deck of cards. The aim of the game is to have cards that add up to 21. The cards are not replaced to the deck once they have been drawn. If you draw two cards in a row, what is the probability of getting 21, when first card you get is an ace and the second card is a queen?
The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.
The term blackjack means that you get a value of 21 with only two cards.
Number of cards in a deck of cards = 52
There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.
Given that first card is Ace and second one is a Queen.
Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.
P(blackjack)=4×16/(52/2).
where P is used for probability .
Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.
Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.
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write fifty and two hundreds eight thousandths as a mixed decimal
Answer:
Pretty sure it's 0.528
A 5-pack of baseball caps costs $5.18. What is the unit price?
Answer:
5.18÷5=1.036 so round up to 1.04
Step-by-step explanation:
work is shown and pictured.
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Which line is perpendicular to LD
Answer:
C.) YT
Step-by-step explanation:
Parallel lines are horizontal lines
Perpendicular lines mean lines that are vertical
Hope this helps! :)
Answer:
\(\Large \boxed{\sf D}\)
Step-by-step explanation:
Perpendicular lines are lines which make an angle of 90° with each other.
Line QY is perpendicular to line LD
absolute value evaluate problem
|-4| =?
SHOW WORK:
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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An object attached to a coiled spring is pulled down 5 centimeters from its rest position and released. If the motion is simple harmonic in nature, with a period of pi seconds, answer the following questions.
A. what is the maximum displacement form equilibrium of the object?
B. what is the time required for one oscillation?
C. what is the frequency?
D.write an equation to model the motion of the object.
The maximum displacement is 5 centimeters.
The time required for one oscillation is π seconds.
The frequency is 1 / π Hz.
Equation to model the motion of the object is x(t) = 5 × cos(2t)
The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.
In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.
The period of oscillation is given as π seconds.
The period (T) is the time required for one complete oscillation.
The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.
Thus, the frequency is the inverse of the period: f = 1 / T.
To model the motion of the object, we can use the equation for simple harmonic motion:
x(t) = A×cos(ωt + φ)
A = 5 centimeters (maximum displacement),
T = π seconds (period),
f = 1 / π Hz (frequency).
To find ω, we can use the relation ω = 2π / T:
ω = 2π / π = 2 radians/second.
The equation to model the motion of the object is:
x(t) = 5 × cos(2t)
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What number has 6 ten thousands, 2 fewer thousands than ten thousands, the same number of hundreds as ten thousands, 1 fewer ten than ten thousands and 5 more ones than thousands?
Therefore, the number that satisfies all the given conditions is 60,649.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equals sign ("="). The expressions on either side of the equals sign are called the left-hand side and the right-hand side of the equation, respectively. The purpose of an equation is to describe a relationship between two or more variables or quantities, such as x + 3 = 7 or y = 2x - 5. Equations can be used to solve problems and answer questions in various fields of study, such as algebra, geometry, physics, chemistry, and engineering. Solving an equation typically involves finding the value or values of the variable(s) that make the equation true. Some equations may have a unique solution, while others may have multiple solutions or no solutions at all. The study of equations and their properties is a fundamental topic in mathematics.
Here,
Let's break down the clues given in the problem and use them to find the unknown number:
6 ten thousands: The number must start with 6.
2 fewer thousands than ten thousands: The number of thousands is 2 less than the number of ten thousands. Since there are 6 ten thousands, there are 4 thousands.
Same number of hundreds as ten thousands: The number of hundreds is the same as the number of ten thousands, which is 6.
1 fewer ten than ten thousands: The number of tens is 1 less than the number of ten thousands, which is 6-1=5.
5 more ones than thousands: The number of ones is 5 more than the number of thousands, which is 4+5=9.
Putting all of these clues together, we get the number: 60,649
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At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
Which expression is equal to -1? A. cot π/4 B. sin π/2 C. sin 3π/2 D. tan 5π/4
Answer:
C
Step-by-step explanation:
A. 1
B. 1
C. -1
D. 1
c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
What is the value of x in 2.5-0.35x=-3
Answer:
X= 110/7 or 15.7 or rounded to 16
Answer:
x=15.714285
Step-by-step explanation:
-0.35x=-3-2.5
-0.35x=-5.5
-0.35/-0.35= -5.5/0.35
X=-5.5/-0.35
X=15.714285