M = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
(9, 0) = ( (x1 + 12) / 2 , (y1 + 3) / 2)
Break up this formula into two equations.
(x1 + 12) / 2 = 9 and (y1 + 3) / 2 = 0
Solve for x1 and y1 from the equations.
another way to explain it
the formula for finding the midpoint of a segment given the coordinates of its endpoints is:
((x1+ x2)/2, (y1 + y2)/2 {Average of the x coordinates, average of the y coordinates}.
For this problem we know the coordinates of the midpoint along with one of the endpoints.
So the x coordinate of the midpoint (9) must equal (12 + x2)/2.
That is: 9 = (12 + x2)/2 Solve for x2. Follow a similar pattern to find the y coordinate of the unknown endpoint.
and another way
The x's are 3 apart and the y's are 3 apart. The other endpoint is (9 - 3, 0 - 3), or (6,-3).
hope this helped you have a good day this was ez
Please help me with this
The volume of rectangular prism is 90 unit³.
We can consider the 1 block = 1 unit.
Length of prism = 5 unit
width of prism = 6 unit
Height of prism = 3 unit
So, Volume of rectangular prism
= l w h
= 5 x 6 x 3
= 90 unit³
Thus, the volume of rectangular prism is 90 unit³.
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Two linear functions are shown below. Compare each fuoction to answer the questions. Function 2: Function 1: -11 8 -7 13 3 Ng -3 18 Part A: What is the rate of change for Function 1? Part B: What is the rate of change for Function 2? Part C: Which function has the greater rate of change?
The rate of change of a linear functions is given by:
\(m=\frac{y_2-y_1}{x_2-x_1}\)where (x1,y1) and (x2,y2) are points through the graph.
Function 1.
From the table we have that the functions passes through the points (-11,8) and (-7,13), pluggin the values in the formula above we have:
\(\begin{gathered} m=\frac{13-8}{-7-(-11)} \\ m=\frac{5}{11-7} \\ m=\frac{5}{4} \end{gathered}\)Therefore the rate of change of functions 1 is 5/4
Function 2.
From the graph we notice that the functions passes through the points (-3,-4) and (1,-1), hence:
\(\begin{gathered} m=\frac{-1-(-4)}{1-(-3)} \\ m=\frac{-1+4}{1+3} \\ m=\frac{3}{4} \end{gathered}\)Therefore the rate of change of function 2 is 3/4.
Comparing both rates of change we conclude that Function 1 has the greater change of rate.
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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the total cost for 5 adult tickets and 18 student tickets at a local theater is $98. The total cost was 98. The total cost for 4 adult tickets and 22 student tickets at the theater is $105. What’s the cost for one adult ticket and one student ticket? PLEASEE BRO
The cost of one adult ticket is 3.6 and cost of one student ticket is 4.3
Tickets for a school talent show cost $2 for students and $3 for adults. If Chris spends at least $11 but no more than 14 on x student tickets and 1 adult ticket, what is one possible value of x?Either 4 or is the appropriate response.
Chris spends a total of 2 x + 3 dollars on x student tickets and a total of x adult tickets because each student ticket costs $ 2 and each adult ticket costs $ 3.
Because Chris spends at least $ 11 but no more than $ 14 on the tickets, the entire inequality 2 x + 3 1 can be written.
x = 4 and x = 5.5 are obtained by subtracting 3 from each side of both inequalities and then dividing each side of both inequalities by 2.
A number higher than or equal to 4 and less than or equal to 5.5 must both be integers in order for x to have a value.
Therefore, either x = 4 or x = 5.
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PLEASE ANSWER ASAP I NEED IT.
Answer:
\(\huge\boxed{\sf 18^{-3}}\)
Step-by-step explanation:
Given expression:\(\displaystyle \frac{18^4}{18^7}\)
According to exponent rule:\(\displaystyle \frac{a^m}{a^n} = a^{m-n}\)So, the expression becomes:
= \(18 ^{4-7}\)
= \(18^{-3}\)
\(\rule[225]{225}{2}\)
Which is a correct name for the angle shown?
Answer:
CBA
Step-by-step explanation:
reduced to lowest terms.
44 nickels to 11 dimes
Answer:
4 nickels to 1 dime
Step-by-step explanation:
the steps are in the pic above I gotta get this to 20 characters bye!
Uniform
shirts:
$12 each
Buy 4 shirts, get
2 free
Answer:
Uniform Shirt:$48
Step-by-step explanation:
12×4=48 for four shirt uniforms other two are free so final answer is $48 of Uniform shirt.
Hope this help you
It took Alfonzo 25 minutes to shop for a shirt. If he left the store at 2:25 P.M. after buying the shirt, what time did he start shopping?
The time he start shopping is 2 : 00 PM
How to determine the time he start shopping?From the question, we have the following parameters that can be used in our computation:
Time spent = 25 minutes
Time he left the store = 2 : 25PM
Using the above as a guide, we have the following:
Time he started = Time he left the store - Time spent
substitute the known values in the above equation, so, we have the following representation
Time he started = 2 : 25PM - 25 minutes
Evaluate
Time he started = 2 : 00 PM
Hence, the time he start shopping is 2 : 00 PM
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Alanis is moving and needs to pack two mirrors the largest mirror fits in a box that is 18 inches wide by 20 inches long her smaller mirror is similar in proportion to the larger mirror Alanis determines that the width of the smaller box needs to be a minimum of 9 inches. what should the minimum length of the box to hold the smaller mirror ?
The minimum length of the box to hold the smaller mirror is 10 inches for largest mirror fits in a box that is 18 inches wide by 20 inches long her smaller mirror.
What is proportion ?
In mathematics, proportion refers to the equality of two ratios. Two ratios are said to be proportional if they have the same relative size, meaning they represent the same relationship between quantities.
For example, if we have two ratios, such as 2/3 and 4/6, they are proportional because they represent the same relationship between two quantities. We can say that 2 is to 3 as 4 is to 6, and we can simplify both ratios by dividing the numerator and denominator of each by their greatest common factor, which in this case is 2.
Since the smaller mirror is similar in proportion to the larger mirror, the ratio of their corresponding sides is the same. Therefore, the width of the smaller box is half of the width of the larger box (9 inches is half of 18 inches).
To find the minimum length of the smaller box, we need to use the same ratio of sides. The length of the larger box is 20 inches, so the length of the smaller box should be half of 20 inches, which is 10 inches.
Therefore, the minimum length of the box to hold the smaller mirror is 10 inches.
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Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
Find the surface area of the composite figure. Round your answer to the nearest whole
number.
6 ft
00
5 ft
12 ft
Hint: how many circles are part of your final surface area?
ft. 2
The surface area of the figure is 549.5 square ft
How to determine the surface area of the figureGiven that
The composite figure comprises of a cone and a cylinder of the following dimensions
Cone: Radius = 5 ft and Height = 12 ft
Cylinder: Radius = 5 ft and Height = 6 ft
The surface area of the figure is calculated as
Surface area = Cone + Cylinder - Circle
So, we have
Surface area = πr(r + √[h² + r²]) + 2πr(r + h) - πr²
Substitute the known values in the above equation, so, we have the following representation
Surface area = 3.14 * 5 * (5 + √[12² + 5²]) + 2 * 3.14 * 5 * (5 + 6) - 3.14 * 5²
Evaluate
Surface area = 549.5
Hence, the surface area is 549.5
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Sandy uses five and one half pounds of clay to make 9 small vases. Use a proportion to find how many pounds of clay she will use to make 27 small vases.
six and one fourth pounds
16 and one half pounds
18 and one fourth pounds
21 and one half pounds
Answer:
16 and one half pounds
9 x 3 = 27
5 x 3 = 15
1/2 x 3 = 1 1/2
15 + 1 1/2 = 16 1/2
17 = 9 + 2r
r = what
Answer:
r = 4
Step-by-step explanation:
17 = 9 + 2r subtract both sides by 9
8 = 2r divide both sides by 2
4 = r
Answer:
r=4
Step-by-step explanation:
You have to get r on one side so you subtract nine on both sides to get rid of it so 8=2r
then you divide 2 m both sides and r=4
Among of the following, which has both length and width A.point B.Line C.Plane D.Set
NO LINKS!! URGENT HELP PLEASE!!!!
Measuring a Pond: A surveyor is measuring the width of a pond. The transit is setup at point C and forms an angle of 37° from point A to point B. The distance from point C to point A is 54 feet and the distance from point C to point B is 72 feet. How wide is the pond from point A to point B?
Answer:
43.47 feet (2 d.p.)
Step-by-step explanation:
Points A, B and C form a triangle.
We have been given sides a and b, and their included angle C.
The distance between points A and B is side c of triangle ABC.
Therefore, we can solve this problem using the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines (for finding sides)} \\\\$c^2=a^2+b^2-2ab \cos (C)$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)
Given values:
a = side CB = 72 ftb = side CA = 54 ftC = angle ACB = 37°Substitute the given values into the Law of Cosines formula and solve for side c:
\(\implies c^2=72^2+54^2-2(72)(54)\cos(37^{\circ})\)
\(\implies c^2=8100-7776\cos(37^{\circ})\)
\(\implies c=\sqrt{8100-7776\cos(37^{\circ})}\)
\(\implies c=43.4719481...\)
\(\implies c=43.47\; \sf ft\;(2\; d.p.)\)
Therefore, the width of the pond from point A to point B is 43.47 feet, to two decimal places.
For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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Jenine and Janine have a combined weight of 120.42 kilograms. If Jenine is heavier by 8.06 kilograms, how much does Jenine weigh
brainliest ko po maka answer
Answer:
Jenine's weighs 64.24 kilograms
Step-by-step explanation:
j + j + 8.06 = 120.42
2j + 8.06 = 120.42
2j = 112.36
j = 56.18
for Jenine,
j + 8.06
56.18 + 8.06
64.24
What is x+x+x+2? Choose 2 answers in khan academy
Answer:
A and d
Step-by-step explanation:
because x has a 1 in front of them so add the 3'x and get 3x+2
What is 80% as a fraction in reduced form? StartFraction 1 Over 8 EndFraction StartFraction 4 Over 5 EndFraction StartFraction 8 Over 10 EndFraction StartFraction 40 Over 50 EndFraction
Answer:
4/5
Step-by-step explanation:
Answer:
its 4 over 5
Step-by-step explanation:
(trust me)
what is 54% of 114?
Answer:
54% of 114 is 61.56
Step-by-step explanation:
Answer:
that would be 1404/25 or 56.16
Step-by-step explanation:
I solved it on paper
What is the volume of the following rectangular prism? 3 1/3 1 2/5
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives.
Which expression represents the probability that a student chooses an art elective and a history elective?
StartFraction 7 C 2 Over 12 C 2 EndFraction
StartFraction 7 P 2 Over 12 P 2 EndFraction
StartFraction (3 C 1) (4 C 1) Over 12 C 2 EndFraction
StartFraction (3 P 1) (4 P 1) Over 12 P 2 EndFraction
The probability that a student chooses an art elective and a history elective is expressed as (3^C_1 x 4^C_1) / 12^C_2
i.e (3 C 1) (4 C 1) Over 12 C 2
OptionC is the correct answer.
Given,
Number of Art electives = 3
Number of history electives = 4
Number of computer electives = 5
Each student can choose two electives.
We have to find the probability of choosing an art elective and a history elective.
What is combination?A combination is a selection of items from a set where the order of selection does not matter.
It is given by :
\(^nC_{r}\) = n! / r! (n-r)!
Where n = total number of items and r = items selected.
Find Probability of choosing an art elective
= 3^C_1
= 3! / 1! 2!
= 3
Find Probability of choosing a history elective
= 4^C_1
= 4! / 1! 3!
= 4
Find the probability of choosing two electives from 12 electives
= 12^C_2
= 12! / 2! 10!
= (12 x 11) / 2
= 66
Find the probability that a student chooses an art elective and a history elective
= (Probability of choosing a history elective x probability of choosing two electives from 12 electives) / probability of choosing two electives from 12 electives
= (3^C_1 x 4^C_1) / 12^C_2
= (3 x 4) / 66
= 12 / 66
Thus the probability that a student chooses an art elective and a history elective is expressed as (3^C_1 x 4^C_1) / 12^C_2
i.e (3 C 1) (4 C 1) Over 12 C 2
OptionC is the correct answer.
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Answer:
c on edge 2023
Step-by-step explanation:
Please help
Of 104 athletes surveyed about what
sport they play, some play basketball.
Of those that play basketball, 32 play
soccer and the remaining 29 do not
play soccer. Write an equation to find
the number of athletes surveyed who
do not play basketball. Let n represent
the number of athletes surveyed who
do not play basketball.
Step-by-step explanation:
n = 104 - (32 + 29)
32 and 29 (playing soccer or not) are the basketball players. that is 61 together.
so, the number of surveyed non-basketball players is then the rest of the 104 :
104 - 61 = 43
What is 30x2? Id love to know
Nicole will attend a 2-year college, and she is planning her budget.
Answer the following.
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college
education.
For each, select whether it is an expense or a source of funding.
Expense
Funding
Books and supplies:
Savings:
Scholarships:
Housing and food:
Tuition and fees:
Transportation:
$1700
$7800
$10,240
$14,020
$11,660
$2040
$11,600
$6200
$2980
Grants:
Student loans:
Personal expenses:
(b) What is the total of her estimated expenses?
$
0000
0000 1000
X
a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,
Scholarships, Grants and Student loans.
b. Total estimated expenses are $29,400
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.
Expense:
Books and supplies: $1700
Housing and food: $14,020
Tuition and fees: $11,660
Transportation: $2040
Personal expenses: $2980
Funding:
Savings: $7800
Scholarships: $10,240
Grants: $11,600
Student loans: $6200
(b) What is the total of her estimated expenses?
To find the total estimated expenses, we need to add up all the expenses mentioned:
$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400
Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.
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Solve by cross multiplying. Check for extraneous solutions.
Answer:
x = 4; x = -4
Step-by-step explanation:
Step 1: Cross multiply and simplify:
x * x = 2(x^2 - 8)
x^2 = 2x^2 - 16
Step 1: Subtract x^2 from both sides to set up the quadratic for solving:
(x^2 = 2x^2 - 16) - x^2
0 = x^2 - 16
Step 2: Add 16 to both sides:
(0 =x^2 - 16) + 16
16 = x^2
Step 3: Take the square root of both sides:
± √16 = √(x)^2
4 = x and -4 = x
Step 4: Check for extrraneous solutions by plugging in 4 and -4 for x in the original equations:
Plugging in 4 for x in x / (x^2 - 8) = 2 / x:
4 / (4^2 - 8) = 2 / 4
4 / (16 - 8) = 1/2
4 / 8 = 1/2
1/2 = 1/2
Plugging in 4 for x in x / (x^2 - 8) = 2 / x:
-4 / ((-4)^2 - 8) = 2 / -4
-4 / (16 - 8) = -1/2
-4 / 8 = -1/2
-1/2 = -1/2
Thus, there are no extraneous solutions so we can use x = 4 and x = -4 as the solutions.
Any help would be greatly appreciated.
There are 300 raffle tickets.
The prizes are as follows:
First prize - voucher for meal at local restaurant
Second prize - food hamper
Third prize - chocolate cake
4x homemade jams
3x homemade pickles
A prize is won after the first raffle ticket is drawn.
What is the probability of winning a prize when the next ticket is drawn?
Answer: 0.007
Step-by-step explanation:
Suppose that you have a ticket.
We have 3 prizes, and 300 tickets.
After the first tiket is drawn, someone win a prize, so now we have 299 tikets left and 2 prizes left.
Then, for the next draw, you have p = 1/299 of wining a prize.
If you did not win there, the probability for the third price is p = 1/298 (because there are 2 less tickets now)
Then the probability of winning at least one prize is:
P = 1/299 + 1/298 = 0.007
Two identical rectangular prisms and two identical cubes are joined.
Answer the questions to find the new solid’s surface area.
The new solid's surface area, which is 490 cm², is created by combining two identical cubes, each of which has a surface area of 294 cm².
What is the Total Surface Area of a Cube?The total area of a cube's faces that cover it is the surface area of the object. The cube's surface area is calculated as six times the square of its side lengths. 6a², where an is the cube's side length, serves as its representation. In essence, it is the overall surface area.
Total surface area of a cube = 6a², where a is the length of each of the sides.
Let the surface area of each identical cube = 294 cm²
The length of each side be
6a² = 294
simplifying the above equation, we get
a² = 294/6
a² = 49
a = √49
a = 7 cm
Surface area of the new solid
= surface area of the two identical cubes - 2(area of the surface where both are joined)
Surface area of the new solid = 2(294) - 2(7²) = 490 cm²
Therefore, the surface area of the new solid be 490 cm².
The complete question is;
Two identical rectangular prisms and two identical cubes are joined. Answer the questions to find the new solid’s surface area. The numbers are 9 and 4.
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