Answers
The domain and range of the of this function C(n) = 120 + 8n, in the context of the situation is 10 ≤ n ≤ 24 and 200 ≤ C ≤ 312 respectively.
What is domain?The set of inputs a function can accept is referred to as the domain of the function in mathematics. DOM (f) or DOM f, where f is the function, may be used to indicate it.
A function f: X to Y has X as its domain, to put it more precisely. The domain of a function is not a property of it, but rather a part of the definition in contemporary mathematical terminology.
The function f can be represented graphically using the Cartesian coordinate system in the unique situation where X and Y are both subsets of R. A projection of the function's graph onto the graph's x-axis in this instance serves as the domain's representation.
We have given the function C(n) = 120 + 8n where n is no. of children going to trip which must be at least 10 and function C is the total cost trip.
If at least 10 children must go to make the trip possible, then n must be greater than 10 and the total no. of children is 24 which gives us
10 ≤ n ≤ 24, n is restricted between 10 and 24
Also, if n is at least 10, the putting the value in the function C(n) = 120 + 8n gives us
C(n) = 120 + 8(10)
= 200
Which means C must be greater or equal to 200 but we also take the condition in consideration that all students are going to the trip meaning 24 children is n, which gives us
C(n) = 120 + 8(24)
= 312
This gives us, 200 ≤ C ≤ 312, that is C is restricted between 200 and 312.
Learn more about domain
https://brainly.com/question/26098895
#SPJ13
Related Questions
A jewelry store offers Chuck a job paying 40 thousand dollars per year plus 2% of every sale that he makes. The equation models the money Chuck makes if he sells x dollars of jewelry. y= 40000 +0.02x Or Chuck can take the job and make 60 thousand dollars per year. How much jewelry does Chuck need to sell so that the first option is more profitable? Construct a viable argument to support your solution.
Answers
Chuck needs to sell more than 1000000 dollars of Jewelry.
In this question, a jewelry store offers Chuck a job paying 40 thousand dollars per year plus 2% of every sale that he makes.
We have been given the equation models the money Chuck makes if he sells x dollars of jewelry y= 40000 +0.02x
Also, he has second option that he can take the job and make 60000 dollars per year.
We need to find the amount of jewelry Chuck needs to sell so that the first option is more profitable.
We need to find the value of x for which y > 60000
so we get an inequality.
i.e., 40000 +0.02x > 60000
0.02 x > 60000 - 40000
0.02x > 20000
x > 1000000
Therefore, Chuck needs to sell more than 1000000 dollars of Jewelry.
Learn more about an inequality here:
https://brainly.com/question/19003099
#SPJ1
In a certain chemical, the ratio of zinc to copper is 4 to 19 . A jar of the chemical contains of copper. How many 741 grams of zinc does it contain?
Answers
Based on the ratio of zinc to copper, and the grams of copper in the jar, the grams of zinc will be 156 grams of Zinc
How to find the grams?The ratio of zinc to copper is 4 to 19 which means that for every 4 grams of Zinc, the chemical will have 19 grams of copper.
The means that if there is 741 grams of copper, the grams of Zinc will be:
= (Grams of Copper x Ratio of Zinc) / Ratio of copper
Solving gives:
= (741 x 4) / 19
= 2,964 / 19
= 156 grams of Zinc
Find out more on ratio at https://brainly.com/question/28745043
#SPJ1
solve 3/5k -5 = 7/10k by eliminating the fraction
Answers
Answer:
follow these steps to find your answer
The value of k after eliminating the fraction in 3/5k -5 = 7/10k is 7.
To get the answer follow the given steps below:
3 / 5 k - 5 = 7 / 10 k
Step 1 => 3 (10 k) = 7 (5 k - 5) by cross multiplying the numerator and denominator of both the sides.
Step 2 => 30 k = 35 k - 35 multiplying 5 inside the brackets with 5k - 5
Step 3 => 35 = 5 k
Step 4 => 5 k = 35
Step 5 => k = 35 / 5 dividing
=> k = 7
Hence the value of k after eliminating the fraction is 7.
To know more about eliminating fractions, follow the link given below:
https://brainly.com/question/1473513
#SPJ4
The recipe for a homemade glass cleaner indicates to use a ratio of 1 part vinegar to 4 parts water. Autumn used 2.25 ounces of vinegar and 9 ounces of water. Is the relationship between vinegar and water in the recipe and vinegar and water in Autumn's cleaning solution a proportional relationship?
Answers
Combine 1 part distilled vinegar and 10 parts warm water in a spray bottle. Wipe the window down with a gentle, clean, lint-free microfiber cloth or paper towel to remove any dust before applying your solution. Spray the entire surface after that.
How does a proportionate relationship work?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.If a table displays a proportional relationship, the ratio of each pair of values can be determined. The table depicts a proportionate relationship if all of those ratios are the same.The equation y = kx represents a proportionate relationship between two quantities y and x that have the same proportionality constant, k.A linear relationship between two amounts or variables is referred to as proportionality in mathematics. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.To know more about proportional relationship refer to:
https://brainly.com/question/23318486
#SPJ9
6. Elena is planning to go camping for the weekend and has already spent$40 on supplies. She goes to the store and buys more supplies. Whichinequality represents d, the total amount in dollars that Elena spends onsupplies? *d > 40Od 240Od<40Od 540
Answers
Given
Elena is planning to go camping for the weekend and has already spent $40 on supplies.
She goes to the store and buys more supplies.
To find which inequality represents d, the total amount in dollars that Elena spends on supplies.
Now,
Let d be the total amount in dollars that Elena spends on supplies.
Since Elena has already spent $40 on supplies and bought more supplies.
Then, the amount spent by Elena on supplies is,
[tex]d>40[/tex]Hence, the answer is a) d>40.
im the figure shown, f || x and k || w and m<3=20°. Choose the list which includes all of the other angles that measure 20°.
Answers
We have that the angles that are congruent with m<3=20° are the ones that we can see in the image in red
m<3=m<1=m<5=m<7=m<9=m<11=m<14=m<16=20°
17+ 20 ÷ 4-5 = [?].
Answers
Answer:
Step-by-step explanation:
17+20/4-5
17+5-5
17-10
17
In the figure below, I || m. Find x.
Answers
Answer:
x=67
Step-by-step explanation:
you have to do 80+x=147 then you subtract 80 on both sides and get 67 as your answer
What is the x-intercept for function f?
f(x) = −23x + 8
Answers
Answer:
-13
Step-by-step explanation:
find the correct area
Answers
The figure consist of triangle, rectangle and semi circle.
Determine the area of figure.
[tex]\begin{gathered} A=\frac{1}{2}\cdot4\cdot8+2\cdot4+\frac{\pi}{8}(4)^2 \\ =16+8+6.28 \\ =30.28 \\ \approx30.3 \end{gathered}[/tex]Thus area of figure is 30.3 meter square.
Let P be a polynomial function, and P(x)=x4−dx3+8x2−14x+16. If (x−2) is a factor of the polynomial, what is the value of d? Explain or show how you know.
Answers
The value of d is x - 2 is a factor of the polynomial function P(x) is 4.5
How to calculate the value of d?The polynomial function is given as
P(x) = x⁴ − dx³ + 8x² −14x + 16
Also, we have the factor of the polynomial to be
x - 2
Set the factor to 0
So, we have
x - 2 = 0
Solve for x
x = 2
If truly, the variable x - 2 is a factor of the polynomial, then the following must be true
P(2) = 0
Start by substituting 2 for x in the equation P(x) = x⁴ − dx³ + 8x² −14x + 16
So, we have
P(2) = (2)⁴ − d(2)³ + 8(2)² −14(2) + 16
Evaluate the exponents
P(2) = (16) − d(8) + 8(4) −14(2) + 16
Evaluate the sum of products
P(2) = −8d + 36
Set to 0
−8d + 36 = 0
So, we have
−8d = - 36
Divide
d = 4.5
Hence, the value of d is 4.5
Read more about polynomial at
https://brainly.com/question/17517586
#SPJ1
Another formula for the volume of a right rectangular prism is V=______ where b is the ________ and h is the _______
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
volume of a rectangular prism
Step 02:
geometry:
1. volume of a rectangular prism
- One formula for the volume of a right rectangular prism is V = l w h , where l represents length , w represents width , and h represents height.
- Another formula for the volume of a right rectangular prism is V = Bh , where B is the base area and h is the height.
That is the solution.
Which function is increasing?
A.f(x)=(0.5)^x
B.f(x)=5*x
C.f(x)=(1/15)^x
D.f(x)=(1/5)^x
Answers
The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
Which function is making f X larger?For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.The order of the numbers is said to be growing if they are written from smallest to largest, but decreasing order is used when the numbers are written from largest to smallest.You must first compute the derivative, then make it equal to 0, and then determine which zero values the function is negative between in order to determine whether a function is decreasing. In order to determine when the function is negative and, consequently, decreasing, test values on all sides of these.Hence, The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
To know more about f(x) refer to:
https://brainly.com/question/2284360
#SPJ9
7 1/5 - 4 3/5 please tell me ASAP i need this rn
Answers
Answer: 4 2/5
Step-by-step explanation:
Answer:2 3/5
Step-by-step explanation:
Change to improper fraction
36/5-23/5
Subtract 36 and 23 since they have same denominator:
36-23=13
Put over 5
13/5
Change over mixed number
2 3/5
I didn't mean to post this.
Answers
Answer:
ok ok ok ok ok ok
PLEASE HELP ASAP WILL GIVE 61 POINTS AND BRAINLEST
write an equation in slope intercept form for the lines through points (-2 6) (7 -1)
Y= (-7/9)x + 40/9
Y= (7/9)x + 9/40
Y= (7/9)x + 40/9
Y= (-7/9)x + 9/40
Answers
Answer:
[tex]y = - \frac{7}{9} x + \frac{40}{9} [/tex]
Step-by-step explanation:
[tex]m = \frac{ - 1 - 6}{7 - ( - 2)} = - \frac{7}{9} [/tex]
[tex] - 1 = - \frac{7}{9} (7) + b[/tex]
[tex] - \frac{9}{9} = - \frac{49}{9} + b[/tex]
[tex]b = \frac{40}{9} [/tex]
[tex]y = - \frac{7}{9} x + \frac{40}{9} [/tex]
Which term describes the set of all possible outcomes for a probabilityevent?A. LikelihoodB. Empirical probabilityC. ElementsD. Sample space
Answers
A sample space is the set of all possible outcomes of a statistical experiment, and it is sometimes referred to as a probability space.
Outcomes are observations of the experiment, and they are sometimes referred to as sample points
Answer = Option D
The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answers
Answer:
40%
Step-by-step explanation:
the fraction is 20/50 which x2 is 40/100 and that times 10 (for percent) is 40, so 40%
Answer:
40% of the jerseys are medium-sized
Step-by-step explanation:
Total = 50 jerseys
20 medium-sized
50 x 2 = 100
20 x 2 = 40
40/100 = 40%
Therefore, 40% of the jerseys are medium-sized.
Hope this helps!
An amusement park charges $32 for admission and $6 to park your car. Write an inequality that represents the possible number of people that could go for $166. Solve the inequality. What is the maximum number of people that could go?
Answers
The maximum number of people that could go will be 5.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
It is given that,
An amusement park charges $32 for admission and $6 to park your car.
To ascertain the maximum or lowest values of a scenario with many restrictions, a system of linear inequalities is frequently utilized. Inequalities reflect a limit of what is permitted or achievable rather than a precise quantity.
Suppose that everyone is going in one car and x is the number of persons in the car. The inequality represents the possible number of people that could go for $166 is,
32x+6≤166
32x≤160
x≤160/32
x≤5
Thus, the maximum number of people that could go will be 5.
Learn more about inequality here:
brainly.com/question/19491153
#SPJ1
80% of a number is equal to two-thirds of a second number.
The whole number ratio of the first number to the second number in its lowest terms is x:y
What is the value of x−y
?
Answers
Answer:
-1
Step-by-step explanation:
Let's assume 100 as the number. 80% of that number is 80. That's A. And since 80 is two-thirds of that number, the second number has to be 120. Simplifying that would give 5/6. 5-6 = -1
Answer: 1:1.2
1-1.2= -0.2
Step-by-step explanation:
x = first number
y = second number
80/100*x (80 percent of one number)
2/3*y (two thirds of the second number)
equating
80/100*x=2/3*y
= 1.2=y
substituting:
80/100*x = 2/3 * 1.2
= x=1
substituting the value of x in the original equation
80/100 * 1 = 2/3 * y
= y=1.2
so, x=1, y=1.2
x:y
=1:1.2
x-y= 1 - 1.2 = -0.2
The product of a positive number x and the number that is 9 more than x is 136. What is the value of x?
Answers
ANSWER :
x = 8
EXPLANATION :
The first number is x
The second number is 9 more than x which is (x + 9)
The product of these numbers is 136
The equation will be :
[tex]\begin{gathered} x(x+9)=136 \\ x^2+9x=136 \\ x^2+9x-136=0 \\ \text{ Factor completely :} \\ (x+17)(x-8)=0 \end{gathered}[/tex]The values of x are :
x + 17 = 0
x = -17
x - 8 = 0
x = 8
Since we are looking for the positive value of x, it will be x = 8
Find the greatest common factor (GCF) of 12x and 6x^3
Answers
Sl, this is the solution:
Factors of 12x:
• 2x (Common)
,• 3x (Common)
,• 4x
,• 6x (Common)
,• 12x
Factors of 6x^3:
• 2x (Common)
,• 3x (Common)
,• 6x (Common)
,• 2x²
,• 3x²
,• 6x²
,• 2x^3
,• 3x^3
,• 6x^3
The GCF is 6x
Please answer this math question below
Answers
The probability that at least 1 American will say that they have been decapitated is (C) 0.15.
What do we mean by probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates that the event is impossible and 1 indicates certainty.The likelihood that something will happen can be summed up as probability.We can talk about the likelihood or likelihood of different outcomes when we don't know how an event will turn out.Events that follow a probability distribution are the subject of statistics.So, the probability that at least 1 person will say yes:
We know that 15% will say yes, then:
20/100 × 15 = 3Probability formula: P(E) = favorable events/ Total events
Now, put values and solve as follows:
P(E) = favorable events/ Total eventsP(E) = 3/20P(E) = 0.15Therefore, the probability that at least 1 American will say that they have been decapitated is (C) 0.15.
Know more about probability here:
brainly.com/question/25870256
#SPJ13
Melissa has two chickens. Chicken A produces 3 eggs every 2 days. Chicken B produces 5 eggs every 3 days. In each case, the number of eggs produced is proportional to the number of days. What is the constant of proportionality for each chicken? Round your answers to the nearest hundredth if necessary.
Answers
Proportionality constant for chicken B is greater. The proportionality constant for chicken A is 1.5 and that of chicken B is 1.67.
Chicken A produces 3 eggs every 2 days.
Chicken B produces 5 eggs every 3 days.
Let k₁ and k₂ be the constant of proportionality for chicken A and chicken B respectively.
According to question,
For chicken A, 3 eggs in 2 days
3 = k₁ 2
k₁ = 1.5
For chicken B, 5 eggs in 3 days
5 = k₂ 3
k₂ = 5/3 = 1.66
Thus, Proportionality constant for chicken B is greater. The proportionality constant for chicken A is 1.5 and that of chicken B is 1.67.
To learn more about Proportionality refer here
https://brainly.com/question/12242745
#SPJ1
Camilla is making fruit punch for a school function. she finds a recipe that calls for 2 parts orange sherbet, 3 parts ginger ale, 4 parts unsweetened pineapple juice, and 4 parts fruit juice. she has 1 1 2 gallons of orange sherbet on hand. how many fluid ounces of the other ingredients will she need to make fruit punch with the same ratio of ingredients as the recipe? (hint: 1 gallon = 128 fluid ounces)
Answers
Answer:
8 3/8 gallons
Step-by-step explanation:
What is the equation of g(x)?
O g(x) = 10x - 3
Og(x) = 10x +3
O g(x) = 10x - 3
Og(x) = 10 + 3
Answers
The function g(x) of graph has the following equation: g(x) = (10)ˣ⁻³
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
Two functions' graphs, f(x) and g, are provided to us (x).
The exponential function f(x) is defined as follows: f(x) = (10)ˣ
Finding the equation for the converted function g is now required of us (x).
The graph of the function g(x) may be shown to travel through the points (3,1), (4,10), (5,100), and so forth.
This indicates that the following is the equation or expression for the function g(x):
g(x) = (10)ˣ⁻³
Given that we have g(x) for x=3 , (10) ³⁻³
When x=4, we obtain g(x) = (10) ⁴⁻³
g(x) = (10)¹
g(x) = 10
To learn more about graphs from given link
https://brainly.com/question/4450883
#SPJ1
HELP i'm being timed
hich expression uses the greatest common factor and the distributive property to rewrite the sum 32 + 80?
Responses
16(2+80)
16 open parenthesis 2 plus 80 close parenthesis
2(16+80)
2 open parenthesis 16 plus 80 close parenthesis
16(2+5)
16 open parenthesis 2 plus 5 close parenthesis
8(4+10)
Answers
The expression rewrites the total 32 + 80 using the largest common factor and the distributive property, and the expression can be expressed as 16(2 + 5).
Option (c) is correct.
The least common multiple of two integers is defined as the lowest number that is a multiple of two or more numbers. The abbreviation LCM stands for least common multiple.
It is assumed that:
The mathematical formula is:
= 32 + 80
To identify the most prevalent factor:
GCF( 32, 80) ( 32, 80) ( 32, 80)
We can use Euclid's division lemma to find the GCF:
GCF(32,80)= 16
The phrase 32 + 80 can be expressed as follows:
= 32 + 80\s= 16(2 + 5)
As a result, the equation rewrites the total 32 + 80 using the largest common component and the distributive condition, and the expression can be expressed as 16(2 + 5).
Learn more about HCF and LCM at
https://brainly.com/question/2557849
#SPJ1
Whats infinity minus infinity?
Answers
Answer:0
Step-by-step explanation: anything minus itself is zero (x-x=0)
Answer: That would be non-answerable
Step-by-step explanation: infinity is a boundless and endless thing. It is not able to be added or subtracted to anything.
Given the volume of storage boxes at 4,800 cubic feet and the cost of storage at 4.5 cents per cubic foot per month, what is the monthly cost of storage?$228$216$206$198None of these choices are correct
Answers
Given:
The volume of storage boxes at 4,800 cubic feet
And the cost of storage = 4.5 cents per cubic feet
so, to find the monthly cost of the storge, we will multiply the cost by the volume as follows:
[tex]4.5\cdot4800=21,600\text{ cents}[/tex]convert to dollars by divide by 100
So, the answer will be the monthly cost = $216
Solve for x.
2(5x+4) = 7(2)
5x + 4 = 14
What is our next step in solving for x?
A. multiply both sides by 4
C. subtract 4 from both sides
B. add 4 to both sides
D. divide both sides by 4
Answers
It's answer option c i.e, subtract 4 from both sides
It's a linear equation 5x + 4 = 7
What is linear equation ?
An equation between two variables that gives a straight line when plotted on a graph or say first degree equation is also known as linear equation.
The equation of first steps is
=> 2(5x+4) = 7(2)
=> 5x + 4 = 14
Now, subtract 4 from 14
=> 5x = 14 - 4
=> 5x = 10
=> x = 10/5
=> x = 5 (Ans.)
It's a final answer for x, but here in question we need to find next step.
Therefore, It's answer option c i.e, subtract 4 from both sides.
To read more about the linear equation.
https://brainly.com/question/25870256
#SPJ13
