The number of hours that it will take 24 people in making the boxed lunches on the task would be = 5 hours
How to calculate the number of hours it will cost?The relationship that exists between the number of boxes lunches and the number of people is an inverse relationship.
That is 200 inversely related 1/number of people
That is;
200 × number of people = k
Therefore, 15 people (N1)= 8 hours(T1)
24 people (N2)= X hours(T2)
using the constant of the inverse relationship above;
N1T1 = N2T2
15×8 = 24 × X
X = 15×8/24
X = 120/24
X = 5 hours.
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Which expression is equivalent to |x| < 11?
Responses
x > –11 or x < 11
x > –11 or x < 11
x < –11 and x > 11
x < –11 and x > 11
x < –11 or x > 11
x < –11 or x > 11
x > –11 and x < 11
Answer:
x > -11 and x < 11
Step-by-step explanation:
Find the absolute value of a number gives you its distance from zero, which is just the numerical parts of it. From this we can reason that the numbers between -11 and 11 have an absolute value less than 11, as they are the numbers that are less than 11 away from zero. This can be represented as -11 < x < 11, and can be separated into x > -11 and x < 11 (the "and" is because x has to fulfill both conditions of being greater than -11 and less than 11).
what is the difference between relative frequency and cumlative relative frequency
The difference between relative frequency and cumulative relative frequency is that relative frequency is the ratio of the frequency of a particular value in a dataset to the total number of values, expressed as a percentage. Cumulative relative frequency is the sum of all relative frequencies up to a certain point in the data set.
For example, if a data set has 8 values and 4 are the same, the relative frequency would be 50%. Cumulative relative frequency would be 50% at this point since it is the sum of all relative frequencies up to this point in the data set. If there were another 4 of the same values after this point, the relative frequency would remain at 50%, but the cumulative relative frequency would increase to 100% since it includes all previous relative frequencies.
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Enter an equation for which the solution is the spreed of the train, in miles per hour where where the train's distance from the departing station is 285 miles and it has traveled for 10 hours.
The speed of the train is 28.5 miles per hour.
According to given condition :
One possible equation to solve for the speed of the train is:
speed = distance / time
In this case, the distance is 285 miles, and the time is 10 hours. Plugging in those values, we get:
speed = 285 / 10
Simplifying this expression, we get:
speed = 28.5
Therefore, the speed of the train is 28.5 miles per hour.
What is equation ?
An equation is a mathematical statement that shows that two expressions are equal. Equations typically use variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.
For example, an equation might be:
2x + 3 = 7
This equation means that if we multiply x by 2 and then add 3, we get 7. The solution to this equation is x = 2, since if we substitute x = 2 into the equation, we get:
2(2) + 3 = 7
4 + 3 = 7
7 = 7
which is true.
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If / (x) = x? -1, g(x) = 2x - 3, and h(x) = 1 - 4x, find the following new functions, as well as any values (f-g)(3)
The new functions are:
(f + g)(x) = 3x - 4
(g - h)(x) = 6x - 4
(f o g)(x) = 2x - 4
(g o h)(x) = -8x - 1
And the value of (f-g)(3) = -2.
To find new functions, we can combine the given functions using arithmetic operations.
(f + g)(x) = f(x) + g(x) = (x - 1) + (2x - 3) = 3x - 4
(g - h)(x) = g(x) - h(x) = (2x - 3) - (1 - 4x) = 6x - 4
(f o g)(x) = f(g(x)) = f(2x - 3) = (2x - 3) - 1 = 2x - 4
(g o h)(x) = g(h(x)) = g(1 - 4x) = 2(1 - 4x) - 3 = -8x - 1
To find (f-g)(3), we need to evaluate the function (f - g) at x = 3:
(f - g)(3) = f(3) - g(3) = (3 - 1) - (2(3) - 3) = 1 - 3 = -2
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The given question is incomplete, the complete question is
If f(x) = x -1, g(x) = 2x - 3, and h(x) = 1 - 4x, find the following new functions, as well as any values (f-g)(3)
(f + g)(x)
(g - h)(x)
(f o g)(x)
(g o h)(x)
what is the definition of a subset and how does it work?
A subset is when all elements of any set A are present in another set B. Its working has been explained below.
Let us take two sets on random i.e., set A and set B. If we find that all elements of set A can be found in set B as well, we deem it to be a subset of set B. If we were to explain in simpler terms, we can say that set A is a part of set B.
Let us further assume that set A has the elements {1,2,3} and set {1,2,3,4,5,6}. From what we can see is that all elements in set A are also present in set B. This means that set A is a subset of set B.
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what is polar to rectangular calculator equation
A polar to rectangular calculator equation is an online tool that converts polar coordinates (r, θ) to rectangular coordinates (x, y).
A polar to rectangular calculator equation is a math tool used to convert polar coordinates to rectangular coordinates. Polar coordinates are expressed in terms of a radius r and an angle θ, while rectangular coordinates are expressed in terms of x and y.
To use the calculator, users input the radius and angle in degrees or radians, and the calculator uses the formulas x = r cos(θ) and y = r sin(θ) to calculate the corresponding rectangular coordinates. This tool is commonly used in physics, engineering, and other applications that involve two-dimensional coordinates. It is also useful in graphing polar functions, such as polar curves or polar graphs.
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What is mZ1?
44°
mz1 =
O
1
34°
The value of the missing angle of the diagram above would be = 78°
How to calculate the value of the missing angle?The total interior angle of a triangle = 180°
The value of the available angles given = 44° and 34°
The value of the third angle of the triangle = ?
That is ;
180 = 44+34+?
make ? the subject of formula;
? = 180 -78
? = 102°
But angle of a straight line = 180°
Therefore, <1 = 180-102 = 78°
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I need help with this question from Geometry...
Answer: B. 240
Step-by-step explanation: Hi there here is why your answer is this:
Area = b × h
= 12 × 20
= 240 feet2
Hope this helps you!
I need help with this math problem. It should be relatively easy, please show working out. 20 points!
Answer:
35 degrees
Step-by-step explanation:
The direction "North" is parallel to itself, because of the reflexive property of parallel lines. Using the alternate interior angles theorem, the measure of x + 25 must be equal to 60 degrees. 60 - 25 = 35
Answer:
x = 35°
Step-by-step explanation:
The angle made by the directional line from wharf to Shell Cove relative to North is 60° at the point of departure from the wharf
The angle that this same line makes at the point of arrival at Shell Cove must be 60° relative to North since the two North directions are perpendicular and the line connecting the wharf and shell cove is a transversal intersecting these lines
This is because of the property that when two parallel lines are intersected by a transversal, the alternate interior angles must be the same
The angle made by this transversal at Shell Cove = x + 25 degrees
Since (x + 25)° = 60°
x = 60° - 25°
x = 35°
The height of an arch is modeled by the equation y=-x^(2)-6x+16. Which of the following gives the width of the arch at its base?
Answer:
Para encontrar el ancho del arco en su base, necesitamos encontrar las dos raíces de la ecuación cuadrática y = -x^2 - 6x + 16, que corresponden a los puntos donde la altura del arco es igual a cero.
Vaina
y = -x^2 - 6x + 16
0 = -x^2 - 6x + 16
x^2 + 6x - 16 = 0
Podemos resolver esta ecuación usando la fórmula cuadrática:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
donde a = 1, b = 6 y c = -16.
x = (-6 ± sqrt(6^2 - 4(1)(-16))) / 2(1)
x = (-6 ± sqrt(100)) / 2
x = (-6 ± 10) / 2
Esto nos da dos soluciones posibles:
x1 = (-6 + 10) / 2 = 2
x2 = (-6 - 10) / 2 = -8
La base del arco se extiende desde x = -8 hasta x = 2, por lo que el ancho del arco en su base es:
ancho del arco = 2 - (-8) = 10
Por lo tanto, el ancho del arco en su base es 10.
Step-by-step explanation:
espero te sirva, si no puedes español traducelo
What is 20% of 2000?
Answer:
Step-by-step explanation:
of is *
20% is 1/5
1/5 *2000= 2000/5= 400
which of the following statements are equivalent to the statement "the price increased by 1/2 of what it was before"
Answer: The price is now 1.5 of what it was before is the correct answer.
Step-by-step explanation:For the given situation,
The statement is given as price increased by 1/2.
Let us assume, we have an item costs 1$.
Now the price is increased by 1/2, so we need to add the fraction to 1.
what is 3 sided die?
The 3 sided die is a unique type of dice with three sides instead of the usual six, and the probability of rolling any of the sides is equal to 1/3 or 33.3%.
A 3 sided die, also known as a triangular or tetrahedral die, is a unique type of dice that has three sides instead of the usual six. It is often used in games, puzzles, and simulations that require a random number generator.
Mathematically speaking, the probability of rolling any of the three sides on a 3 sided die is equal to 1/3 or 33.3%. This is because each of the sides has an equal chance of landing face up when the die is rolled.
To calculate the probability of rolling a specific number on a 3 sided die, we divide the number of ways that number can appear by the total number of possible outcomes.
For example, if we want to know the probability of rolling a 2, we would divide 1 (since there is only one side with a 2) by 3 (the total number of sides on the die). This gives us a probability of 1/3 or 33.3%.
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how many hours until tomorrow
The time right now and the time zone you are in determine how many hours are left before tomorrow. Assuming you mean the following calendar day, tomorrow's hours would be:
The amount of hours until tomorrow if it is currently before midnight is 24 minus the current hour. For instance, if it is 9:00 PM right now, there are 24 – 21 = 3 hours left until tomorrow.
In this case, the number of hours until tomorrow would be equal to the time difference between now and midnight + 24. If it is 1:00 AM, for instance, there are (24 - 1) + 1 = 24 hours until tomorrow.
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You eat at a restaurant for $22. You calculate the tip by multiplying $22 by 0.20. You calculate the tax by multiplying $22 by 0.05. How much did you pay for the meal, including the tip and the tax?
Answer: $27.50
(correct me if i'm wrong, please)
Step-by-step explanation:
(22) + (22 * 0.20) + (20 * 0.05)
22 + 4.40 + 1.10
22 + 5.50
= $27.50
Select all that apply.
A spinner is divided into 5 equal sections. Which of the following are true?
The theoretical probability is 20% for each section.
Each section of the spinner is equally likely to be spun.
The experimental probability is 5 for each section.
If the spinner is spun 80 times, you would predict it to land on each section 16 times.
Answer:
I'd say the first and third options would be correct.
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
If it is a fair spinner then
First option is true
second option is true
third option cannot be determined from info given
4th option is true
Write an equation that shows the relationship 55% of b is 30
Answer: 4.5
Step-by-step explanation:
Answer:
.55b = 30
Step-by-step explanation:
55% is .55
You have .55 of b = 30
.55b=30
Hello, please I need help with these questions
Answer:
1. y = 4x^2-4x+5 does not cross the x axis
2. C has imaginary roots
Step-by-step explanation:
See attached worksheet.
Lamonte is going to invest $48,000 and leave it in an account for 17 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Lamonte to end up with $120,000?
The interest rate that would be required is 5.39%. The solution has been obtained by using concept of compound interest.
What is compound interest?
Both the principal and the interest that has accumulated over the preceding period are taken into account when interest is calculated. In contrast to simple interest, which does not take the principal into account when calculating the interest for the following month, compound interest does. Compound interest is usually represented in algebra by the letter C.I.
We are given that Lamonte is going to invest $48,000 and leave it in an account for 17 years. She wants to end up with $120,000.
So, from this we get the equation as
120,000 = 48000e¹⁷ⁿ ( n is the interest rate)
Solving this, we get
e¹⁷ⁿ = 2.5
n = 5.39%
Hence, the interest rate that would be required is 5.39%.
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A sales and Asco Motor had a deal to share the profit of every brand new Hiace Van sold in the ratio of 2:3 for salesman and Asco Motor. If the profit of 4 selling 1 van is $34,588 determine the amount of money that the salesman will earn from 10 vans
The amount of money that the salesman will earn from 10 vans is:
$138,352
How much money the seller will make with 10 vans?The profit from selling 1 van is shared between the salesman and Asco Motor in the ratio of 2:3. This means that for every $5 of profit, the salesman gets $2 and Asco Motor gets $3.
To determine the amount of money that the salesman will earn from 10 vans, we first need to calculate the profit from selling 10 vans. Since the profit from selling 1 van is $34,588, the profit from selling 10 vans will be:
$34,588 × 10 = $345,880
Now we need to calculate the salesman's share of this profit. Since the profit is shared in the ratio of 2:3, the salesman's share will be:
$345,880 × (2/5) = $138,352
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To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 50 numbers (1 through 46). The order in which the selection is made does not matter. How many different selections are possible?
The total number of possible selections is 18,643,560. This is calculated using the combination formula nCr.
In nCr, n is the total number of objects (50) and r is the number of objects to be selected (7). This is equal to 50C7, which can be written as
50!/(7!*(50-7)!), or 18,643,560.To explain this further, the combination formula is used to find the total number of combinations when selecting a certain number of objects from a larger set. In this case, we are selecting 7 numbers from a set of 50, so the total number of combinations is 18,643,560.
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Which equation matches the graph? A. f(x) = 2x – 4 B. f(x) = –3x – 4 C. f(x) = 3x – 4 D. f(x) = 4x + 2
y = 3x - 4 is the equation of the line in slope intercept form. Option C is correct
Equation of a line in point slope formThe formula for calculating the equation of a line in point slope form is expressed as:
y - y0 = m(x - x0)
where:
m is the slope
(x0, y0) is the point on the line
Using the coordinate points (2, 2) and (0, -4). The slope is calculated as:
Slope = -4-2/0-(2)
Slope = -6/-2
Slope = 3
The required equation will therefore be expressed as:
y + 4 = 3(x - 0)
y + 4 = 3x
y = 3x - 4
Hence the slope-intercept form of the equation is y = 3x - 4
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Miss Nestor is randomly passing out books to her students for free reading time. In her book basket, she has 10 mysteries, 2 historical fiction novels, and 8 biographies. If there are 10 students in Miss Nestor's class for free reading time today, which of the following is the best prediction of the number of students who will receive historical fiction novels for free reading time?
Answer:
1
Step-by-step explanation:
To predict the number of students who will receive historical fiction novels for free reading time, we need to use the concept of probability. Probability is the likelihood of an event occurring, and is expressed as a number between 0 and 1.
In this case, there are a total of 10 + 2 + 8 = 20 books in Miss Nestor's basket. Of these, 2 are historical fiction novels. Therefore, the probability of a student randomly selecting a historical fiction novel from the basket is:
P(historical fiction) = number of historical fiction novels / total number of books
P(historical fiction) = 2/20 = 0.1
This means that there is a 10% chance that a student will randomly select a historical fiction novel from the basket. To predict the number of students who will receive historical fiction novels, we can multiply the probability by the total number of students:
Number of students receiving historical fiction = Probability of historical fiction * Total number of students
Number of students receiving historical fiction = 0.1 * 10
Number of students receiving historical fiction = 1
Therefore, the best prediction of the number of students who will receive historical fiction novels for free reading time is 1.
꧁༒αηѕωєяє∂ ву gσ∂кєу༒꧂
(7+x) the power 5
The expression is when x= 3
Answer:
When x=3 the answer is 243
Step-by-step explanation:
3 to the power of 5 (3^5) is 243
Answer:
100000
Step-by-step explanation:
7+x⁵ = 250
x⁵ = 250 - 7
x⁵ = 243
⁵√243 = ⁵√x⁵
x = 3
Then:
(7+x)⁵ = (7+3)⁵ = 10⁵
10⁵ = 100000
2 more than 3 lots of a number is equivalent to 8 lots of the number.
If 2 more than 3 lots of a number is equivalent to 8 lots of the number, then the number is 2/5
Let's call the unknown number "x".
According to the problem statement, "2 more than 3 lots of a number" can be written as:
3x + 2
And "8 lots of the number" can be written as:
8x
The problem states that these two expressions are equivalent, so we can set them equal to each other
The equation will be
3x + 2 = 8x
Now we can solve for x:
3x + 2 = 8x
Move 8x to left hand side of the equation
-5x = -2
x = 2/5
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PLEASE HELP ME ASAPPP I NEED THIS NOWWW!!!! do your thing plssss
4) Practice: Summarizing
Write x1, y1, x2, and y2 in the blanks to complete the formula.
Slope = ---------------
Anser 15
Step-by-step explanation:
members of which generational cohort are retiring at a rate of 10,000 every 24 hours and will all be 65 or older by 2030?
Members of Baby Boomers generation are retiring at a rate of 10,000 every 24 hours and will all be 65 or older by 2030.
There are 4 generational cohorts :
Baby Boomers(1946-1964)
Thirteeners/Gen X(1965-1980)
Millenials/Gen Y(1981-1996)
Centennials/Gen Z(1997-Present)
So , by the above stated data one can clearly say that the Baby Boomers are the oldest generational cohorts. They are the generation born after Second World War.
According to the last census which was taken in 2010 , none of them turned 65 but after that about 10,000 a day have attained that threshhold and by 2030 , all of the boomers are going to attain at least the age 65.
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how tall is 155mm to inches
nswer:
Step-by-step explanation:
6102.36 inches
Rember that you multiply the lentclength value by 39.37
Which numbers could represent the lengths of a triangle
A.5,9,14
B.7,7,15
C.1,2,4
D.3,6,8
The lengths of a triangle must satisfy the triangle inequality which states that the sum of any two sides must be greater than the third side.
For option A:
5 + 9 = 14, which satisfies the triangle inequality. However, 5 + 14 = 19, which is not greater than 9. Therefore, this set of numbers does not satisfy the triangle inequality.
For option B:
7 + 7 = 14, which is less than 15. Therefore, this set of numbers does not satisfy the triangle inequality.
For option C:
1 + 2 = 3, which satisfies the triangle inequality. However, 1 + 4 = 5, which is not greater than 2. Therefore, this set of numbers does not satisfy the triangle inequality.
For option D:
3 + 6 = 9, which satisfies the triangle inequality. 3 + 8 = 11 and 6 + 8 = 14, both of which are greater than 8. Therefore, this set of numbers satisfies the triangle inequality.
So, the numbers 3, 6, and 8 could represent the lengths of a triangle. Therefore, the answer is option D.
Answer:
A and D
Step-by-step explanation:
you would have to test each option using the triangle inequality theorem
which is when the sum of any two sides of the triangle are greater than or equal to the third side
A) 5+9 [tex]\geq[/tex] 14 true
5+14 [tex]\geq[/tex] 9 true
14+9 [tex]\geq[/tex] 5 true
B) 7+7 [tex]\geq[/tex] 15 false This answer can be eliminated
C) 1+2 [tex]\geq[/tex] 4 false This answer can be eliminated
D) 3+6 [tex]\geq[/tex] 9 true
3+8 [tex]\geq[/tex] 6 true
6+9 [tex]\geq[/tex] 3 true
what is trig identities calculator?
A trigonometric identities calculator is an online tool that helps you simplify or prove trigonometric identities using various trigonometric formulas and rules.
Describe Equation?In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains one or more variables, which are unknown values that can vary or change. The variables are usually represented by letters such as x, y, or z. The expressions on either side of the equals sign can be constants, variables, or functions of variables.
The simplest form of an equation is a linear equation, which can be represented as ax + b = c, where a, b, and c are constants and x is a variable. To solve a linear equation, we need to find the value of the variable that makes the equation true. This is done by performing arithmetic operations on both sides of the equals sign to isolate the variable.
Equations can also be more complex, involving multiple variables, powers, and functions. In such cases, algebraic techniques such as factoring, substitution, and solving systems of equations may be required to find the solution.
Equations are used to describe relationships between variables in many fields of study, including physics, chemistry, economics, and engineering. They are also used in everyday life, such as in calculating the cost of a purchase after applying a discount, or determining the amount of time it takes to travel a certain distance
Trigonometric identities are equations that involve trigonometric functions and are true for all values of the variables involved. These identities are used to simplify expressions involving trigonometric functions, and can be helpful in solving trigonometric equations and evaluating trigonometric functions.
Trigonometric identities calculators can be helpful for students studying trigonometry, as well as for professionals who use trigonometric functions in their work. These calculators typically allow you to enter the trigonometric expression or equation you want to simplify or prove, and then apply various trigonometric identities and rules to arrive at the final result.
There are many online trigonometric identities calculators available that can be accessed for free, including some that provide step-by-step solutions to help you understand how the identities are being applied.
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