The verbal expression for the algebraic expression can be written as: "two times a number plus five" or "five more than two times a number."
What is an Algebraic Expression?An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations. It can be simplified or evaluated for a specific value of the variable to find its numerical value.
The algebraic expression "2x + 5" represents the verbal expression "two times a number plus five" or can be written as "five more than two times a number."
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Can I please get some help, please?
The equation can be used to find the measure of an angle that is supplementary to EOF is B m ∠EOF + m ∠EOD = 180
What are Supplementary angles ?
Supplementary angles are the ones angles that sum as much as a hundred and eighty degrees. for instance, angle one hundred thirty° and attitude 50° are supplementary angles because sum of a hundred thirty° and 50° is identical to one hundred eighty°. similarly, complementary angles add up to 90 levels. the two supplementary angles, if joined together, form a straight line and a directly attitude.
however it ought to be mentioned that the two angles which can be supplementary to each different, do not need to be next to each other. as a result, any angles can be supplementary angles, if their sum is equal to a hundred and eighty°.
Given ,
To find the measure of an angle that is supplementary to EOF .
So, from given figure
we can say that ,
B m∠EOF + m∠EOD = 180
Hence, The equation can be used to find the measure of an angle that is supplementary to EOF is B m ∠EOF + m ∠EOD = 180
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I need helppppp please.
The number of solutions of each system of equations is given, respectively, as follows:
One solution.No solution.Infinity solutions.No solution.How to obtain the number of solutions of each system of equations?
There are three possible number of solutions for each system of equations, and the cases are presented as follows:
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During study hall, Kenji finished 2 out of 8 problems from his math homework. Bill did 1 out of 3 problems from his math homework. Who did a greater percentage of his math problems?
Kenji or Bill
Bill has a greater percentage of his math problems than kenji.
What is percentage ?
Percentage can be defined as the product of ratio of given value, total value and hundred.
Given ,
During study hall, Kenji finished 2 out of 8 problems from his math homework. Bill did 1 out of 3 problems from his math homework.
SO,
Kenji percentage = 2 / 8 * 100
= 1/4 * 100
= 25
Bill percentage = 1/3 * 100
= 33.33
so, the percentage of bill is more than Kenji.
Therefore, Bill has a greater percentage of his math problems than kenji.
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ALL e 3 3. Team Formation HackerRank is organizing a chess tournament for its employees. There are n employees, having IDs 1, 2,.. n, where the th employee has rating denoted by rating[i]. Two employees can form a team if they have the same rating, and one employee can be in at most one team, There are q queries, each of the form (/, r). For each query, find the number of teams which can be formed considering employees with IDs [1, 1+1,.. r- 1, r]. All queries are independent of each other. Example: [[1,4], [3, 4]] Consider n = 4, rating = [2, 3, 4, 2], q= 2, queries • For the first query, all employees are considered. Employees with IDs 1 and 4 can be teamed as their ratings are the same. There are no other team formations possible. So, the number of teams is 1. • For the second query, employees 3 and 4 are considered, their ratings are [3, 4]. Since they are different, no teams can be formed. So, the number of teams is 0. Hence, the answer is [1, 0]. Function Description: Complete the function count Teams in the editor
The "countTeams" function is an efficient solution for the chess tournament problem for HackerRank employees.
The function "countTeams" is a program designed to solve a chess tournament problem for HackerRank employees. The problem involves finding the number of teams that can be formed from a group of n employees, where each employee has a unique rating.
The program takes in two parameters, n (the number of employees) and an array of ratings.
Additionally, there are q queries, each of which ask for the number of teams that can be formed considering employees with specific IDs.
The function must then calculate and return the number of teams that can be formed in each query.
The function works by first initializing a dictionary to store the frequency of each rating in the given array. Then, for each query, it loops through the ratings of the employees with the given IDs and adds the frequency of the rating to a counter.
Finally, the counter is divided by 2 to give the number of teams that can be formed with employees with the same rating.
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An understanding of which of the following mathematical concepts is most helpful when working with probabilities? A: Place value B: Divisibility rules C: Factors and multiples D: Ratios and proportions
Ratios and proportions are the mathematical idea that proves to be most useful when dealing with probabilities. . Calculating probabilities and making judgments based on them require this understanding.
Working with probability requires the use of ratios and proportions. We can compare two different items using ratios and proportions to determine how they relate to one another in terms of size or value. For instance, if we are aware of the proportions of automobile owners and non-owners within a given age group, we can use this information to determine the likelihood that a randomly chosen member of that age group will be a car owner. Calculating the likelihood of separate events can also be done using ratios and proportions. For instance, if we know that the likelihood of one event happening is x and the likelihood of another.
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ab=2x+22,bc=3, and ac=x+17 find x
Answer: -8
Step-by-step explanation:
Carla i going on a boat tour. The boat will travel a total ditance of 20 kilometer during the 5-hour tour. If the boat travel at a contant peed during the tour, what ditance in kilometer hould the boat travel in 3 hour?
12
15
18
33
The correct answer is option A. The boat should travel 12 kilometers in 3 hours.
Since the boat will travel a total distance of 20 kilometers during the 5-hour tour, and the speed is constant, we can calculate the average speed of the boat by dividing the total distance by the total time: 20 kilometers / 5 hours = 4 kilometers per hour.
To find the distance the boat should travel in 3 hours, we multiply the average speed by the time: 4 kilometers per hour * 3 hours = 12 kilometers.
In summary, the boat should travel 12 kilometers in 3 hours because the average speed is 4 kilometers per hour and the time is 3 hours.
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a couple has two children. what is the probability that both are girls if the older of two is a girl?
Answer: The probability is 50%.
Step-by-step explanation: The probability that both are girls if the older child is a girl can be calculated through probability. First, we know that there are two genders the child can be, male or female. When we have 2 possible outcomes, the probability of each outcome is 50%. We know the first child is a girl, and that the second child has a 50% chance of being a girl, so the probability is 50%.
What is the form of the Difference of Cube identity?
Answer:
B
Step-by-step explanation:
You can search this up
find 45% of 170
give simple working out :0
Answer:
76.5
Step-by-step explanation:
0.45*170 = 76.5
Cool.
2. The histogram shows student's scores from last month's math test how many students scored in the 80-89 range?
13. how mony total students took the math test
14. Eight new students took a make-up test today and received the following scores. 72,75,76,84,88,97,98,99
Using your pencil, add these scores to the histogram to the right by extending the height of the bars as necessary
. help me please thx v: ✌
Answer:
12. 12
13. 31
14. Not doable obviously because it needs to be done on paper.
Step-by-step explanation:
Find the values of X and Y
In a triangle, The value of x is, 40°
And, The value of y is, 50°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The triangle is show in figure.
We know that;
In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.
Now, By figure we can formulate;
⇒ x + x + 100 = 180
Solve for x;
⇒ 2x + 100 = 180
⇒ 2x = 180 - 100
⇒ 2x = 80
⇒ x = 40
Thus, The value of x = 40°
And, We get;
⇒ x° + y° + 90° = 180°
⇒ 40 + y + 90 = 180
⇒ y + 130 = 180
⇒ y = 180 - 130
⇒ y = 50°
Thus, The value of y = 50°
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A company ell it product for $55 per unit. Write an expreion for the amount of money received from ale of x unit of product
The amount of money received from the sale of x units of the product can be represented by the following equation:
Revenue = 55 * x, where 55 is the price per unit and x is the number of units sold.
A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
Ax+By=C is the typical form for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to get both intercepts when an equation is stated in this way (x and y).
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The data set {7, 20, 51, 6, 30, 72, 31, 84, 28, 77, 98} is to be represented by a histogram. Which first interval would most clearly and simply show the distribution of this data?
The first interval which would most clearly and simply show the distribution of this data include the following: B. 0 – 10.
What is a class width?A class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table or histogram.
Mathematically, the class width of a data set can be calculated by using this formula:
Class width = max - min
Where:
max represents the maximum value in a data setmin represents the minimum value in a data set.Based on the data set provided above, the most appropriate class width or interval is given by;
Class width = 0 to 10
In conclusion, 0 to 50 would produce two rectangular bars while 0 to 100 is too big an interval.
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Complete Question:
The data set {7, 20, 51, 6, 30, 72, 31, 84, 28, 77, 98} is to be represented by a histogram. Which first interval would most clearly and simply show the distribution of this data?
0–5
0–10
0–50
0–100
Which of the following types of statements can explain the steps of a proof?
Answer:
Guess and Conjecture is the answers that apply.
Also known as B. and C.
find area for these !!! pls help
the Area of the triangle is 212.3 m².
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The perimeter will be P = sum of all three side.
Side a = 21 meters, b=31 meters, c = 18 meters
s = p/2 = 70/2 = 35
A = √(s)(s-a)(s-b)(s-c)
A = √35*4*14*23
A = 212.3 m²
Hence the Area of the triangle is 212.3 m².
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 10
and BD = 30, what is the length of DC?
B
100
30
Answer: DC=
For given triangle ABC, the measurement DC will be 90m.
What is a triangle?With three sides and three vertices, triangles are a particular type of polygon in geometry. It has three straight sides and is a two-dimensional figure. As a 3-sided polygon, a triangle is included. Three triangle angles added together equal 180 degrees. In one plane, the triangle is contained. The triangle can be categorised into six different types based on its sides and angle measurements.
Triangles can be divided into 3 categories according to their sides, including:
Triangle with scalene dimensions: Each side has a different size.
Triangle with an isosceles shape, in which two of the sides have the same length and the third side is shorter.
All three of a triangle's sides have the same length, or equilateral triangle.
Now for given triangle ABC,
ad² +bd² =ab² by Pythagoras theorem
ab² =10² +30²
ab² =1000
ab=10√10
and
bc² =cd^2+bd² by Pythagoras theorem
and also b² =ac² -ab² by Pythagoras theorem
Therefore,
cd² +bd² =ac² -ab²
cd² +30² =(10+cd)² -1000
cd² +900+1000=100+cd² +20cd
20cd=1800
cd=90m
Hence, For given triangle ABC, DC will be 90m.
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a stick of length 1 into two pieces, with the breakpoint being chosen uniformly at random over the stick. a right triangle t is drawn with the two smaller sticks as its legs. find the expected value of the square of the length of the hypotenuse of t.
The expected value of the square of the length of the hypotenuse of the triangle is 2/3.
The expected value of the square of the length of the hypotenuse of the triangle can be found using the following steps:
Let X be the random variable representing the length of the longer stick and Y be the random variable representing the length of the shorter stick.The breakpoint is chosen uniformly at random over the stick, so X and Y have a uniform distribution over [0, 1].The square of the length of the hypotenuse of the triangle can be found using the Pythagorean theorem: Z = X^2 + Y^2.The expected value of Z can be found by taking the expected value of each term in the equation and adding them: E(Z) = E(X^2) + E(Y^2).The expected value of X^2 and Y^2 can be found by integrating the square of X and Y over their respective ranges:E(X^2) = ∫_0^1 x^2 * (1/1) dx = 1/3
E(Y^2) = ∫_0^1 y^2 * (1/1) dy = 1/3
6. Therefore, E(Z) = 1/3 + 1/3 = 2/3.
So, the expected value of the square of the length of the hypotenuse of the triangle is 2/3.
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Write an expression that when simplified is equivalent to 3y^2 + 2y + 1/2
Answer:
Step-by-step explanation:
4x -3(x-2y) + (1/2)(6x -8y)
Let's distribute...
4x-3x+6y+3x-4y
Let's combine like figures...
(4x-3x+3x)+(6y-4y)
4x+2y
simplify this problem 0.27 / 0.3
Answer:
0.9
Step-by-step explanation:
0.27 / 0.3
Divided by 0.3, and you get the answer of 0.9
If you can, please give me a Brainliest; thank you!
Answer:
the answer is 0.9
Step-by-step explanation:
treat it like a regular math problem, 27 divided by 3. then put the decimal where it should be.
mark me brainliest ! xx
A rectangle has a length of 12 meters and a width of 400centimeters. What is the perimeter, in cm, of the rectangle?
The perimeter of the rectangle is 3200cm.
The perimeter of a rectangle is the sum of the lengths of all four sides of the rectangle. It is calculated by adding the length and the width of the rectangle and then multiplying the sum by 2.
In this case, the rectangle has a length of 12 meters and a width of 400 centimeters. To find the perimeter in centimeters, we first need to convert the length in meters to centimeters.
As 1 meter is equal to 100 centimeters, we multiply 12 meters by 100 to get 1200 centimeters.
Now we add the width of 400 centimeters to this value and get 1200+400 = 1600.
And finally, we multiply this value by 2 to get the perimeter of the rectangle,
1600*2 = 3200.
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(07.02) In JKL, slove for x
The values of {x} would be 38.1 units.
What is Pythagoras theorem?According to the Pythagoras theorem, we can write -
(hypotenuse)² = (base)² + (perpendicular)²
Given is a right angled triangle JKL.
We can solve for {x} using the cosine function as -
cos(27) = 34/x
x = 34/cos(27)
x = 38.1 units
Therefore, the values of {x} would be 38.1 units.
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8. How much money hould a couple place in a time depoit in a bank that pay 10% compounded annually o that they will have ₱500,000. 00 after 5 year?
To find out how much money a couple should place in a time deposit to have ₱500,000 after 5 years, we can use the formula for compound interest: A = P * (1 + r/n)^(nt)
Where A is the amount after t years, P is the initial deposit (the amount being invested), r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the number of years the money is invested.
Given the information, we have:
A = 500,000
r = 0.10 (10% interest rate)
n = 1 (interest is compounded annually)
t = 5
So, substituting into the formula:
500,000 = P * (1 + 0.10/1)^(1 * 5)
Solving for P:
P = 500,000 / (1 + 0.10/1)^(1 * 5)
P = 500,000 / 1.610526
P = ₱309,724.07
Therefore, the couple should place ₱309,724.07 in a time deposit to have ₱500,000 after 5 years at 10% interest compounded interest annually.
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Mrs Tan spent 5 days to make a total of 35 lanterns. Each day, she makes 2 more lanterns than the day before. How many lanterns did she make on the 4th day?
Answer:
9
Step-by-step explanation:
we could use a way of guess
like first our number bases could be
1,2,3
for 1 , 1+3+5+7+9=25
2= 2+4+6+8+10+12=30
3= 3+5+7+9+11=35
so we find answer it is 9
i hope that could help you
someone please help i only got an 1 hour left
Answer:
[tex]\frac{1}{12^{16} }[/tex]
Step-by-step explanation:
[tex](12^{-2}) ^{8}[/tex]
When a power is raise to a power, you multiply the exponents
[tex]12^{-16}[/tex]
To make the power positive, you put the power under 1.
[tex]\frac{1}{12^{16} }[/tex]
The relationhip between dicrete math coure grade x and buine calculu coure grade y i repreented by the catterplot
which tatement i correct
Scatterplot provides a visual representation of the relationship between two variables and can be used to determine the strength and type of relationship between them.
The scatterplot is a useful tool for analyzing the relationship between two variables. In this scatterplot, each point represents a single data point (i.e. a grade for a student). The x-axis represents the discrete math course grade, and the y-axis represents the business calculus course grade.
From the scatterplot, it is possible to determine if there is a positive, negative, or no relationship between the two variables. A positive relationship means that as the value of x increases, the value of y also increases.
A negative relationship means that as the value of x increases, the value of y decreases. And no relationship means that there is no correlation between the two variables.
It is also possible to determine the strength of the relationship between the two variables by looking at the distribution of the points.
A tight cluster of points indicates a strong relationship, while a more dispersed scatter of points indicates a weaker relationship.
Complete Question:
The relationship between discrete math course grade x and business calculus course grade y I represented by the scatterplot
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I NEED HELP ON QUESTION 7 ASAP!!!
Answer:
Formula to find the Area of a triangle is A=1/2* bh
A=area
B=base
H=height
Part C.)
1/2b*12=108
multiply entire equation by the reciprocal of 1/2 (2/1) to clear the fraction, then ...divide 216 by 24, and get b=9
Your base is 9
The state of Kentucky issues regulation plates that consist of 3 digits followed by 3 letters. Assuming all digits and all letters can be used and can be repeated, how may posssible regulation license plates are possible?
Find the Area of the figure
below, composed of a rectangle
with a semicircle removed
from it. Round to the nearest
tenths place.
10
14
Answer: 150 square units
Step-by-step explanation: Hope this helps :)
Answer: 111.5
Step-by-step explanation:
Identify all the solutions to the following-inequality.
3(x - 3) ≤ 27
Answer: [tex]x \leq 12[/tex]
Step-by-step explanation:
[tex]3(x-3) \leq 27\\\\x-3 \leq 9\\\\x \leq 12[/tex]
Step-by-step explanation:
To solve the inequality 3(x - 3) ≤ 27, we can use the following steps:
Distribute the 3 on the left side of the inequality: 3x - 9 ≤ 27
Add 9 to both sides of the inequality: 3x ≤ 36
Divide both sides of the inequality by 3: x ≤ 12
Therefore, the solution to the inequality is x ≤ 12.
This solution is valid for any value of x less than or equal to 12, including 12.
Examples of values that satisfy this inequality are:
x = -6, -4, -2, 0, 2, 4, 6, 8, 10, 11, 12
x = -1, -0.5, 0.1, 4.5, 8.9, 12
Note that the solution set is a set of real numbers, that includes all x that are less or equal than 12.