Answer:
The range is 0 - 1 for x
Step-by-step explanation:
Diego's high school soccer team started a fundraiser selling treats at their games. they spent $1000 to start and an additional $0.30 on each candy bar and can of soda. they decide to sell both the candy and the soda for the same price, to make things simple. choose a reasonable price for the team to sell the candy bars and sodas. in your discussion post, share the equations that you used to model this situation and answer the following questions (remember that profit is the revenue minus the costs): how much do they need to sell to break even (where revenue is equal to cost)? how much do they need to sell to make at least $5,000 in profit? do you think it is likely for them to make at least $5,000 in profit? in what situations would it be possible for them to make at least $5,000 in profit?
It is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.
Let's say the team decides to sell the candy bars and sodas for $1 each. In this case, they will make $1 in revenue for each candy bar and can of soda sold.
Now, let's calculate the costs. The team spent $1000 to start the fundraiser, which is a fixed cost that does not depend on the number of treats sold. In addition, they spend $0.30 on each candy bar and can of soda sold.
To break even, the revenue needs to equal the total cost. Let's denote the number of treats they need to sell to break even as "x". The revenue from selling x treats would be $1 multiplied by x. The total cost would be the sum of the fixed cost and the cost per treat multiplied by the number of treats sold.
Equation to break even: Revenue = Cost
1x = $1000 + $0.30x
To solve for x, we can subtract $0.30x from both sides and then divide both sides by 0.70:
0.70x = $1000
x = $1000 / 0.70
x ≈ 1428.57
So, they need to sell approximately 1429 treats to break even.
To make at least $5,000 in profit, we need to calculate the revenue required to cover the costs and generate the desired profit. Let's denote the number of treats they need to sell to make this profit as "y".
Equation to make at least $5,000 in profit: Revenue = Cost + Profit
1y = $1000 + $0.30y + $5000
Simplifying the equation:
0.70y = $6000
y = $6000 / 0.70
y ≈ 8571.43
So, they need to sell approximately 8572 treats to make at least $5,000 in profit.
Whether it is likely for them to make at least $5,000 in profit depends on various factors, such as the demand for treats, the number of people attending the games, and the team's marketing efforts. If they can attract a large number of customers and successfully sell the treats, it is possible for them to make at least $5,000 in profit.
In general, it is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.
Additionally, if they can minimize their costs (such as by negotiating better deals for purchasing treats), they would have a better chance of reaching their profit goal.
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There are 120 wooden roller coasters in operation.This value represents 15% of all the roller coasters.How many roller coasters are there?HELPPPPPP MEEEEEE also PLEASEE include an explanation
Answer:
800 roller coasters
Step-by-step explanation:
120/x = 15/100
120/x=15 x 8/100 x8
120/x = 120/800
x=800
What is the domain of f(x) = 5- 7?
O x | x>-7)
O {x | X <-7}
0 {x|x>0}
O x | x is a real number}
Answer:
c
Step-by-step explanation:
hi
The domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.
What is domain?The domain is the set of all the input values given to a function.
Given is an expression f(x) = 5x - 7, we need to find the domain,
We know that,
The domain of any expression is set to all the real numbers, except where the expression is undefined.
Therefore, the domain is all real numbers.
Also,
The graph of the function will be a straight line without discontinuities.
Hence the domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.
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If n(Ax B) = 72 and n(A) = 24, find n(B).
Solving for Cartesian product n(B), we have n(B) = 72 / 24 = 3.
What is Cartesian product?The Cartesian product is a mathematical operation that takes two sets and produces a set of all possible ordered pairs of elements from both sets.
In other words, if A and B are two sets, their Cartesian product (written as A × B) is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B.
For example, if A = {1, 2} and B = {3, 4}, then A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.
By the question.
We know that n (Ax B) represents the number of elements in the set obtained by taking the Cartesian product of sets A and B.
Using the formula for the size of the Cartesian product, we have:
n (Ax B) = n(A) x n(B)
Substituting the given values, we get: 72 = 24 x n(B)
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What is the measure, in degrees, of Angle 1
Answer:
54
Step-by-step explanation:
126+54=180
Select all the values that are SOLUTIONS to the inequality.
h<-8
A. 2
B. 10
C. -8
D. 0
E. -10
F. -2
Answer:
Your answers are A,B,D, and F
Step-by-step explanation:
When dealing with negatives the answer is always going to be negatives under -8 like -5, or whole numbers like 3
Some important characteristics of the normal distribution are that it is a. skewed to the right b. very "bumpy" and not smooth c. bell-shaped d. symmetrical.
The correct answer is option c. bell-shaped. The normal distribution is a type of continuous probability distribution that is symmetrical and bell-shaped, often referred to as the "bell curve".
In honour of German mathematician Carl Friedrich Gauss, it is often referred to as the Gaussian distribution. A single peak at the centre and a progressive drop in density as one proceeds away from the centre define this distribution.
The normal distribution is a significant probability distribution because it may be used to describe a wide range of natural occurrences, including measurements of people's heights and weights, test scores, and other phenomena.
The likelihood of specific outcomes is also described using it in statistics. In hypothesis testing, the normal distribution is frequently utilised since it is thought that the data will follow a normal distribution.
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Which relationship is an example of a proportional relationship?
helppp?
Answer: “samuel earns $20 for each lawn he mows”
Step-by-step explanation:
The statements that represent proportional relationship are statement [1], [2] and [4].
What is proportional relationship? What is equation modelling? What is a mathematical equation and expression?The proportional relationship between [y] and [x] is given by -y = mx + c
for [c] = 0
m = y/x
where [m] is the constant of proportionality.
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given are some statements depicting proportional relationship.
For the statement [1], we can write the equation as -
y = 0.08x + 59
For the statement [2], we can write the equation as -
y = 25x + 45
For the statement [1], we can write the equation as -
y = 20x
Therefore, the statements that represent proportional relationship are statement [1], [2] and [4].
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If X is a normal random variable with parameters mu=10 and sigma2=36, compute P(X>5); P(416).
In order to compute the probabilities P(X > 5) and P(X < 16) for a normal random variable X with mean (mu) of 10 and variance (sigma squared) of 36, we can use the properties of the normal distribution.
In the first case, we need to calculate the probability of X being greater than 5. This can be done by standardizing the variable X using the z-score formula: z = (X - mu) / sigma. Plugging in the given values, we get z = (5 - 10) / 6 = -5/6 = -0.8333. By looking up the corresponding value in the standard normal distribution table, we find that the area to the left of z = -0.8333 is approximately 0.2033. Since we are interested in the probability of X being greater than 5, we subtract this value from 1: P(X > 5) ≈ 1 - 0.2033 = 0.7967.
In the second case, we want to calculate the probability of X being less than 16. Using the same approach, we standardize the variable X: z = (16 - 10) / 6 = 1. By referencing the standard normal distribution table, we find that the area to the left of z = 1 is approximately 0.8413. Therefore, P(X < 16) ≈ 0.8413.
To summarize, the probability that X is greater than 5 is approximately 0.7967, while the probability that X is less than 16 is approximately 0.8413.
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Question 2 Multiple Choice Worth 4 points)
(Budgeting LC)
An entry-level civil engineer earns an average bi-weekly net pay of $2,175.25. The engineer has created a monthly budget using the following percentages for expenses:
Percent
Housing
35%
Food/Household 10%
Savings
10%
Transportation
Debt
Entertainment
15%
5%
6%
Medical/Personal Care 5%
5%
4%
5%
Giving
Clothing
Miscellaneous
Which balance sheet correctly represents the engineer's income, expenses, and balance?
The balance sheet that correctly represents the engineer's income, expenses and balance is illustrated below.
How to determine percentages of income?We should know that a balance sheet is a summary of assets and liabilities and income and expenses of a legal person. We are told that the balance sheet shows a bi-weekly net pay.
This implies that a month has two bi-weeks, therefore every income and expense is multiplied by 2 to get the following figures.
Income Amount
Bi-weekly income $2,175.25
Total Monthly Income $4,350.50
Expenses Percent Amount
Housing 35% $1,522.68
Food/Household 10% $435.05
Savings 10% $435.05
Transportation 15% $652.58
Debt 5% $217.53
Entertainment 6% $261.03
Medical/Personal Care 5% $217.53
Giving 5% $217.53
Clothing 4% $174.02
Miscellaneous 5% $217.53
$4,350.50
Balance
Income $4,350.50
Expenses $4,350.50
Balance $0
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Which equation represents the circle shown on the graph below.
a. x2 + (y - 3)2 = 4
b. x2 + y + 3)2 = 4
c. x2 + (y - 3)2 = 16
d. x2 + y + 3)2 = 16
Answer:
C
Step-by-step explanation:
Edge2021
Help would be appreciated, thanks
Answer:
-8
Step-by-step explanation:
the pattern is times 4
AM I PLAYING 2048??????
Answer:
-8
Step-by-step explanation:
This is a geometric sequence. Each term is obtained by multiplying 4 with the previous term.
common ratio = -128 ÷ (-32) = 4
-2 *4 = -8
4 consecutive odd integers with a sum of 3048
Answer:
The integers you seek are:
759, 761, 763, 765
since
759 + 761 + 763 + 765 = 3048.
Hope this helps!
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))
Answer:
369
Step-by-step explanation:
g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).
and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).
f(6) = 8×6 + 5 = 48 + 5 = 53
and now
g(53) = 7×53 - 2 = 371 - 2 = 369
to check we do the general functional substitution :
g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33
g(f(6)) = 56×6 + 33 = 336 + 33 = 369
correct
please help me i really need it
Answer:
Step-by-step explanation:
Simplify (−2a2b4)3. Select the correct answer. Question 1 options:
A −2a6b12
B 8a6b12
C 2a5b7
D −8a6b12
Step-by-step explanation:
\( = {( - 2 {a}^{2} {b}^{4} )}^{3} \)
\( = {( - 2)}^{3} {a}^{2 \times 3} {b}^{4 \times 3} \)
\( = - 8 {a}^{6} {b}^{12} \)
Option → D
the figure alongside, In AB !BC and a-b=10° then find the values of a and b.
The values of a and b on the triangle shown are given as follows:
a = 50º.b = 40º.How to obtain the values of a and b?From the image given at the end of the answer, we can find that the two angles are combined to form an angle of 90º.
The angle addition postulate states that if two angles share a common vertex and a common angle, forming a combination, the larger angle will be given by the sum of the smaller angles.
From the postulate, the sum of a and b is given as follows:
a + b = 90.
The subtraction of a and b is given as follows:
a - b = 10.
Adding the two expressions, the expression of the sum and the expression of the subtraction, the value of a is obtained as follows:
2a = 100
a = 100/2
a = 50º.
Replacing in one of the equations, the value of b is obtained as follows:
a + b = 90
50 + b = 90
b = 90 - 50
b = 40º.
Missing InformationThe triangle is given by the image shown at the end of the answer.
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1. Add 4x2y and 6x2y.12z2+10x2y−2z
Simplify 4x2y + 12z2 + 6x2y – 2z.
A. 10x2y + 10z2
B. 10x2y + 12z2 – 2z
C. 10x2y + 14z2
D. 20x2yz2
Answer:
B. 10x2y + 12z2 – 2z
Step-by-step explanation:
Divide all the terms by 2:
2xy + 12z + 3xy - z
10x2y + 12z2 – 2z
combine the like terms
Check
Graph
Click or touch the graph to plot the ordered pairs.
Use the interactive graphing tool to plot the ordered
pairs.
fy
X
y
d
(-2.0), (-1, -3), (0.-4). (1.-3). (2.0)
Using your graph, how many points lie on the x-axis?
0 0
0 1
02
O 3
Reset
Answer:
2.
Step-by-step explanation:
If a point lies on the x-axis, it's y value will be 0.
(-2,0) and (2,0)'s y value is 0.
Characterize the slope of the line in the graph.
A. Zero
B. Undefined
C. Negative
D. Positive
a- alphabetical series problem: look at this series: wfb, tgd, qhg,? and find the right alternative to replace the question mark (?).
The right alternative to replace the question mark (?) is nik.
The given series is wfb, tgd, qhg. To find the right alternative to replace the question mark (?), we need to identify the pattern in the series.
Looking at the series, we can observe that the first letter in each term is moving back two steps in alphabetical order, while the second letter is moving forward one step, and the third letter is moving forward one step and then moving forward two steps which means that it is moving forward with "n+1" steps where n = 0, 1, 2, 3,...
Applying this, we can determine the next term in the series:
w → t → q → n
f → g → h → i
b → d → g → k
So, the next term comes to be "nik"
Therefore, the right alternative to replace the question mark (?) is "nik".
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A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick Let y represent the ice sheet's thickness (in meters) after x weeks. Complete the equation for the relationship between the thickness and number of weeks. y=
Given:
Initial ice sheet's thickness = 2 meter
After 3 weeks, the ice sheet's thickness = 1.25 meters
To find:
The equation for the relationship between the thickness and number of weeks.
Solution:
Let y represent the ice sheet's thickness (in meters) after x weeks.
Initial ice sheet's thickness = 2 meter
It means, the equation of relation must be satisfy by the point (0,2).
After 3 weeks, the ice sheet's thickness = 1.25 meters
It means, the equation of relation must be satisfy by the point (3,1.25).
If a linear function passes through two points, then the equation is
\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)
\(y-2=\dfrac{1.25-2}{3-0}(x-0)\)
\(y-2=\dfrac{-0.75}{3}x\)
\(y-2=-0.25x\)
Add 2 on both sides.
\(y=-0.25x+2\)
Therefore, the required equation for the given relation is \(y=-0.25x+2\).
Solve:
4(2 + a) = 24
A =
Answer:
a=4Step-by-step explanation:
Simplify both sides of the equation:
4 (2 + a) = 24
( 4 )( 2 ) + ( 4 )( a ) = 24 (Distribute)
8 + 4a = 24
4a + 8 = 24
subtract 8 from both sides:
4a + 8 − 8 = 24 − 8
4a = 16
Divide both sides by 4:
4 a/4 = 16/4
a = 4
Multiple bracket out first:
4 x 2 =8
4 x a = 4a
8 +4a = 24
-8
4a. = 16
÷4
a = 4
Hope this helps!
Given 4 and one tenth times negative 4 times 5 over 12, determine the product. negative 16 and 5 over 120 16 and 5 over 60 negative 6 and five sixths 6 and five sixths
The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).
What is a numerical expression?A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.
The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).
= (41/10) × (- 4) × (5/12).
= (41×-4×5)/(10×12).
= (-820/120).
= - 82/12.
= - 41/6.
= \(-6\frac{5}{6}\).
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andre and mai are discussing how to solve for side . andre thinks he can use the equation to solve for . mai thinks she can use the equation to solve for . do you agree with either of them? show or explain your reasoning.
It is important to carefully consider the given information and the specific equation being used in order to determine the appropriate method for solving for a specific side of a shape.
Without knowing the specific equation mentioned in the question, it is difficult to determine whether Andre or Mai's approach is correct. However, in general, the equation used to solve for a specific side of a shape depends on the information given about the other sides and angles of the shape.
If the equation involves the known values of angles and/or sides that are not the one being solved for, then either Andre or Mai's approach may be valid, depending on which side or angle is known.
However, if the equation only involves the unknown side and no other information about the shape is given, then neither approach would be correct. In such a case, additional information or equations would be needed to solve for the unknown side.
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Solve the equation for all values of x.
-x(x – 8)(x² + 25) = 0
From deltamath.com
Answer:
x=0 , x=8 , x = ±5i
Step-by-step explanation:
-x(x – 8)(x² + 25) = 0
Using the zero product property
-x =0 x-8 =0 x^2+25 =0
x =0 x= 8 x^2 = -25
x=0 x= 8 sqrt(x^2) = sqrt(-25)
x = ±5i
Find an equation for the line of best fit for the table below.
xy
10 1
8 1.1
6 1.2
4 1.3
2 1.5
An equation, in slope-intercept form, for the line of best fit for the table above is y = 0.05x + 0.7.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (1.3 - 1.1)/(4 - 8)
Slope (m) = -0.2/4
Slope (m) = 0.05
At data point (8, 1.1) and a slope of 0.05, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 1.1 = 0.05(x - 8)
y = 0.05x - 0.4 + 1.1
y = 0.05x + 0.7
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Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and t represents time, which equation represents this proportional relationship?
dt = 6
d = 6t
how todo thisquestion?
The solution of the expression [-9 1 / 4 - (- 7 3 / 5)] ÷ 2 3 / 4 is - 3 / 5.
How to evaluate an expression?The expression can be evaluated as follows:
[-9 1 / 4 - (- 7 3 / 5)] ÷ 2 3 / 4
Hence, we have to convert the mixed fractions to improper fractions as follows:
\([-9\frac{1}{4} - (-7\frac{3}{5} )] X \frac{4}{11}\)
\([-\frac{37}{4} + \frac{38}{5} ] X \frac{4}{11}\)
\([\frac{-185 + 152}{20} ] X \frac{4}{11}\)
Therefore,
\([\frac{-33}{20} ]X \frac{4}{11}\)
Hence,
\([\frac{-33}{20} ]X \frac{4}{11} = \frac{-12}{20} = -\frac{3}{5}\)
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Sutton takes 48 minutes to walk to work. after getting a new job, sutton takes 30.72 minutes to walk to work. what was the percent decrease in the travel time?
The percent decrease in the travel time after getting a new job is 36%.
Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".
First, determine the decrease in travel time after getting a new job by subtracting the new travel time of 30.72 minutes from the initial travel time of 48 minutes.
decrease in time = 48 - 30.72
decrease in time = 17.28
Then, determine the percent decrease by dividing the decrease in time of 17.28 minutes by the initial travel time of 48 minutes and multiply by 100.
percent decrease = (17.28 / 48) x 100
percent decrease = 36%
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