If a number is multiplied by 7, the result is the same as when 25 is added
to twice the number. Find the number.
Answer:
Step-by-step explanation:
"a number is multiplied by 7" can be represented by 7x
"25 is added to twice the number" can be represented by 2x+25
7x = 2x+25
5x = 25
x = 5
The number is 5 if a number is multiplied by 7, the result is the same as when 25 is added to twice the number.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number is x:
From the problem, we can model a linear equation in one variable.
7x = 2x + 25
5x = 25
x = 5
Thus, the number is 5 if a number is multiplied by 7, the result is the same as when 25 is added to twice the number.
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answer, show work, due today
Answer:
60%
Step-by-step explanation:
13.5/22.5
A Redbox movie costs $1.50. Redbox charges $1 per day for late movies. If Henry's movie is 3 weeks late, how much money does he owe for his movie?
Answer:
$22.50
Step-by-step explanation:
3 weeks = 21 days
21 × 1 + 1.50
21 + 1.50
22.50
An entrepreneur faces many bureaucratic and legal hurdles when starting a new business. The World Bank collects information about starting businesses throughout the world. They have determined the time, in days, to complete all of the procedures required to start a business. The data for business start time, in days, for a sample of 24 countries is given. Data Set
13 66 36 12 8 27 6 7 5 7 52 48
15 7 12 94 28 5 13 60 5 5 18 18
The total for the given data is 567 days.
Later, we realize that we had not included the data for the South American country of Suriname in the sample. The start time for Suriname is 694 days.
a) What is the mean of the sample data including the country of Suriname? Give your answer to two decimal place.
b) Find the median time to start a business for 24 countries in our data set:
c) Which measure do you prefer for describing the center of this distribution? Explain your answer.
d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.
e) Compute the standard deviation of time to start a business for 24 countries in the data set:
f) Which measure do you prefer for describing the spread of this distribution? Explain your answer.
g) Make a boxplot for these data and explain & describe the distribution using only the information in the boxplot.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
Rearranged data:
5, 5, 5, 5, 6, 7, 7, 7, 8, 12, 12, 13, 13, 15, 18, 18, 27, 28, 36, 48, 52, 60, 66, 94
Start time for Suriname = 694
Mean = ΣX / n
Mean = (567 + 694) / (24 + 1) = 1261 / 25 = 50.44
B.) median start Time for initial 24 values
0.5(n+1)th term
0.5(25) = 12.5th term
(13 + 13) / 2 = 13
C.) preferred measure of center for the distribution will be the median as it shapes well in the middle of the distribution. The mean is overestimated
d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.
Using calculator :
Lower quartile Q1 --> 7
Median Q2 --> 13
Upper quartile Q3 --> 42
IQR = (Q3 - Q1) = 42 - 7 = 35
OUTLIER:
Lower bound : Q1 - 1.5(IQR) ; 7 - 1.5(35) = - 45.5
Upper bound : Q3 + 1.5(IQR) = 42 + 1.5(35) = 94.5
Outlier : values below - 45.5 and above 94.5
Hence, Surimanes start time is the only Outlier.
e)
Standard deviation for 24 countries :
Standard deviation = sqrt[Σ(X - mean)^2 / (N - 1)]
Usibg calculator :
Standard deviation for the 24 countries is 23.83
f)
Standard deviation
the difference of 44 and the square of n into a expression
Answer:
[tex]44-\sqrt{n}[/tex]
Roberto has $200 in spending moneyHe wants to buy some video games that cost $25.50 eachWrite solve an inequality to find the number games, that Roberto can buy Enter your answer in the box
x>24 or x<24
Answer:
Roberto can buy 7 videogames.
Step-by-step explanation:
Given that Roberto has $ 200 in spending money and he wants to buy some video games that cost $ 25.50 each, to determine the number of games he can buy, the following inequality must be resolved:
25.50X = 200
X = 200 / 25.50
X = 7.84
Thus, since the whole number is 7, with $ 200 you can buy 7 video games, and there will be $ 21.5 (200 - 178.5) left over.
The school play earned $11,271 in ticket sales. If the cost of each ticket was $13, how many tickets were sold?
Answer:
867 tickets were sold because if you divide how much they earned by how much it cost you get 867
Answer:
867 Tickets
Step-by-step explanation:
Divide $11,271 by the number of the ticket cost $13.
11,271/13= 867
Solve this equation 1/4 x 10?
Answer: 2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Have a great day :)
The tickets for the school play are $7.00 for adults and $5.00 for students. There were 100 tickets sold. If the total profit was $550.00, how many of each were sold?
Answer:
25 adult tickets and 75 student tickets were sold.
Step-by-step explanation:
Given that the tickets for the school play are $ 7.00 for adults and $ 5.00 for students, and that there were 100 tickets sold generating a total profit of $ 550.00, to determine how many of each were sold the following calculation must be performed:
100 x 5 = 500
550 - 500 = 50
7 - 5 = 2
50/2 = 25
100 - 25 = 75
(25 x 7) + (75 x 5) = X
175 + 375 = 550
Therefore, 25 adult tickets and 75 student tickets were sold.
please help!!
pic below
Answer:
A !
Step-by-step explanation:
1 +2 = 3
1 x 1 = 1
8 x 3 = 24 !!
3 1/24
i hope this helps !
Answer:
5/8
Step-by-step explanation:
The number of tadpoles in a particular pond on March 1st of any particular year is Pn the population is modelled by the interactive formulae
The population is modelled by the interactive formulae Pn+1 = k(Pn+60)
Answer:
get them googel
Step-by-step explanation:
The value of 2^3 + 3^3 = .
Answer: (2^3) + 3^3
2^3 + 3^3
35
Step-by-step explanation:
you most likely just have to add 8 and 27 together im guessing
Your bill at a restaurant was for $36. You want to leave a 15 % tip. What would the tip amount be?
$5.40
$6.20
$4.17
$2.40
Find the coordinate point for D that would make ABDC a rhombus.
coordinate plane with points A 2 comma 2, B 3 comma 4, and C 4 comma 1
(5, 4)
(5, 2)
(5, 3)
(3, 0)
Answer: The correct answer is (5, 3)
Step-by-step explanation: I got it right on the exam
(5,3) will make a rhombus.
What is Rhombus?A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.
How to solve?Let D have coordinate (x,y)
The length of all the sides of the rhombus is equal.
length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]
Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)
CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)
We know BD = CD gives,
[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]
By squaring both sides and solving we get,
3y - x = 4 ----------------------(3)
Since BCD is a right-angled triangle,
[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]
BC = [tex]\sqrt{10}[/tex]
10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]
8 = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)
solving equation (3) and (4) we get x = 5 and y = 3
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what is the volume and surface area?
Answer:
I think its 10 mi
Step-by-step explanation:
Please let me know if I'm wrong!
Select all the expressions that are greater than 1
1/10 ÷ 3
2 2/3 ÷ 1 2/3
5/7 ÷ 1/2
12 ÷ 1/2
2/7 ÷ 3/7
A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of times.
Step-by-step explanation:
We have these following percentages:
Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.
Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.
What percentage of times is this spyware detected
0.7*0.6 + 0.3*0.8 = 0.66
This spyware is detected 66% of times.
Using your answer from #3, how many hours will
Victoria need to babysit if she raises her hourly
charge to $15 per hour and she still wants to
earn at least $75?
Answer:
5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75
g(x) = -2x + 1
Find g(-7).
Answer:
g(-7) = -2(-7) + 1 = 15
Step-by-step explanation:
Solve for X
2x - 8 = 30
Answer:
x=19
Step-by-step explanation:
2x - 8 = 30
get x by itself by adding 8 to both sides
2x=38
divide by 2
x=19
Determine the domain of the following graph:
Answer:
the domain is
-1 less than or equal to X greater than or equal to 7
I don't have the signs so I just underlined where you would put the sign.
I hope this helps.
Find the LCM Of 12x^5 y^4z,15x^7z^3 and,21yz^9
Answer:
420x^7 y^4 z^9
Step-by-step explanation:
I put spaces between some so that you know that no exponent has a variable as its power and it is 1 whole polynomial.
Please Mark Me Brainliest
rewrite the following equation in slope-intercept form
y-6=-9(x-5)
Answer:
y=-9x+51
Step-by-step explanation:
-9x+45=y-6
add 6 to both sides to get
-9x +51=y
The sum of a numbers is 40. Their difference is 14. What are the 2 numbers?
Answer:
13 and 27
Step-by-step explanation:
27-13=14
13+27=40
Find the total surface area of this cylinder.
Give your answer to 1 decimal place.
24 cm
18 cm
Step-by-step explanation:
2(22/7)12²+2(22/7)(12)(18)
=2021.9
1 The number of guests, g, coming for dinner is not 8
2 the distance of the race d is at least 6 miles
what is the inequality for each of the solutions
Answer:
1. g < 8
2. d ≤ 6
A tomato plant grows 24 inches tall in 10 weeks. If the rate remains the same, how tall would the plant be after 7 weeks?
Answer:
168 inches which is also 14 feet
Use ΔDEF, shown below, to answer the question that follows:
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
HELP PLZZZZ !!!
An international company has 26,500 employees in one country. If this represents 31.9% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer
Step-by-step explanation:
An article reported that a survey of clothing worn by pedestrians killed at night in traffic accidents revealed that about 80 percent of the victims were wearing dark-colored clothing and 20 percent were wearing light-colored clothing. The conclusion drawn in the article was that it is safer to wear light-colored clothing at night.
(a) Is this conclusion justified? Explain.
(b) If your answer to part (a) is no, what other information would be needed before a final conclusion could be drawn?
Answer:
Explained below.
Step-by-step explanation:
A) We are not given a population percentage of people who wear dark or light clothes. For example, the number of people wearing dark cloths were maybe 700 and only 100 were killed.
So using the percentage of those killed to draw a conclusion is not a true representation of the reality. Thus, it is not justified to conclude that it is safer to wear light-colored clothing at night.
B) The additional information needed will be the population percentage of all pedestrians both those killed and those not killed who wore light-colored and dark colored clothing at night.