1 is a universal factor. It is a factor of all numbers. The number itself is a factor of the number as it divides itself entirely.
A factor is a number that divides another number and leaves no remainder. In other words, if multiplying two whole numbers gives us a product, the numbers we are multiplying are factors of the product because they are divisible by the product. There are two processes for finding factors: multiplication and division.
For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 absolutely and 12 ÷ 6 = 2 absolutely. The other factors of 12 are - 1, 2, 4, and 12.
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what can multiply to equal 30 but adds to equal 9
Answer:1, 2, 3, 5, 6, 10, 15 and 30.
Step-by-step explanation:
A contruction company take 1/4 hour to remove 1/2 metric ton of dirt from a contruction ite. What i the unit rate in metric ton per hour? Write your anwer in implet form
The answer is 2 metric tons in an hour.
Units refer to a specific measurement or denomination used to express the size or quantity of something. For example, length can be measured in units of inches, feet, or meters. Time can be measured in units of seconds, minutes, or hours.
The best way to do this is to convert all the fractions to decimals. The problem starts out looking like this.
Formula :
Rate = Tons removed / hours
Tons Removed = 1/2 metric ton
Time taken = 1/4 hour
Rather than doing it with fractions, it is much easier to do it with decimals
1/4 = 0.25
1/2 = 0.5
Now what you get is rate = 0.5 / 0.25 = 2
So, 2 metric tons can be removed in an hour.
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jason is driving from his home to his office, which is $20$ miles away. he normally drives at a constant speed of $50$ miles per hour for the whole trip. however today, twelve minutes into his drive, his car breaks down. he calls a taxi, and it arrives fifteen minutes later. the taxi driver then takes him to his office driving at a constant speed of $40$ miles per hour. how much longer was this trip today than his usual drive to work, in minutes?
Jason's trip was 9 minutes longer than his usual drive to work.
Given that,
Distance from Jason's home to office = 20 miles
Speed of driving from home to office = 50 miles/hour
Total time taken to reach from home to office = distance ÷ speed = 20/50 = 0.4 hours = 24 minutes
Thus, on a normal day, Jason takes 0.4 hours to reach his office from home.
Now, Jason drove for 12 minutes when his car broke down,
The taxi arrived 15 minutes later and drove at 40 miles/hour,
Total time spent to reach office from taxi= distance ÷ speed = 20/40 = 0.5 hours= 30 minutes
Although he already spent 12 minutes driving before the taxi arrived so,
30 - 12 = 18 minutes.
But, he waited for the taxi to arrive for 15 minutes so,
18+15 = 33 minutes.
Thus, today Jason took 33 minutes to reach the office from his home.
Therefore, Jason took (33- 24)minutes which is equal to 9 minutes longer than his usual drive to work.
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store a sells four times as many products as store b and one fifth as many as store c. if store c sells 122,420 products, how many products does store b sell?
If store c sells 122,420 products, then store b sells 6121 products.
Let x = number of products store a sells
If store a sells one fifth as many as store c, then we can write this expression as:
x = 1/5(122,420)
Evaluating, we have:
x = 24,484
If store a sells four times as many products as store b, then we can write the expression for the number of products store b sells as:
x = 4(number of products store b sells)
Plug in the value of x, we have:
24,484 = 4(number of products store b sells)
number of products store b sells = 6121
Therefore, store b sells 6121 products.
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Solve for X, Leave in simplest radical form
The value of y is 2. The study of triangular relationships between angles and side lengths is known as trigonometry.
What are trigonometric relations?When the number under the root sign has no square factors, a radical is said to be in its simplest form. For instance, 72 can be divided by 4 to get 218. Radicals - The symbol nx used to denote a root is referred to as a radical and is thus interpreted as "x radical n" or "the nth root of x." The horizontal line, the quantity underneath it, and the quantity n printed to the left are referred to as the vinculum, radicand, and index, respectively, in the radical symbol. The square root symbol, which has the value of 1.414, is used to symbolise the square root of 2, also known as root 2. Mathematicians frequently utilise this number.The study of triangular relationships between angles and side lengths is known as trigonometry.
The six trigonometric functions are cosec, sec, cot, sin, and tan.
Allow the angle to be, so that
The opposite or hypotenuse of sin
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be ΔABC
The triangle ABC is a right angled triangle and the angles inside the triangles are 45° , 45° and 90°
Now , from the given figure
From the trigonometric relations
tan θ = x / √2
Now , θ = 45°
So , tan 45° = x / √2
And , tan 45° = 1
So , the value of x = √2
And from trigonometric relations ,
hypotenuse² = base² + length²
y = √ ( √2 )² + ( √2 )²
y = √4
y = 2
Hence , The value of x = √2
The value of y = 2
The complete question is,
Solve for X. Leave your answer in simplest radical form if necessary.
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Sadie is 63.5 inches tall. if 2.54 cm equals 1 inch, what is sadie's height in centimeters?
a. 5.29 cm
b. 25 cm
c. 161.29 cm
o d. 635 cm
plssss help
The centimeter equivalent of Sadie's height is 142.875 cm.
(63.5×2.25) cm.
= 142.875 cm.
11 Mark the givens in the diagram. Then copy the proof on paper, and fill in the blanks to complete the proof. Chapter Reference c Given that AR ∩ DC = M, AD = RC and ∠A ≅ ∠R, prove that △MAD ≅ △MRC. A D M R C 1. AD = ____ 1. Given 2. ∠A ≅ ∠____ 2. Given 3. ∠AMD ≅ ∠____ 3. ________ 4. △MAD≅ △____ 4. ________ Answer: 1. AD = RC 1. Given 2. ∠A≅∠ 2. Given 3. ∠ AM D = ∠ 3. 4. △ MAD ≅△ 4.
Answer:
AD=RC, GIVEN
∠A≅∠R GIVEN
∠AMD=∠RMC VERtical angles
△MAD≅△MRC ASA/SAA
Step-by-step explanation:
How would the dx2−y2 orbital in the n=5 shell compare to the dx2−y2 orbital in the n=3 subshell?
a) The contour of the orbital would extend further out along the x and y axes.
b) The value of ℓ would increase by 2.
c) The radial probability function would include two more nodes.
d)The orientation of the orbital would be rotated 45∘ along the xy plane.
e) The mℓ value would be the same.
**Which statements above are correct?
A. The contour of the orbital would extend further out along the x and y axes and the mℓ value would be the same.
The dx2−y2 orbital in the n=5 shell will have a higher principal quantum number (n=5) than the dx2−y2 orbital in the n=3 subshell (n=3). This means that the contour of the orbital in the n=5 shell will extend further along the x and y axes, as the orbital size increases with increasing n.
However, the mℓ value will remain the same, as the angular momentum quantum number (ℓ) remains constant at two and mℓ can only take values between -ℓ and +ℓ.
The value of ℓ will not increase by two, as stated in option B, and the radial probability function will not include two more nodes, as stated in option C. Furthermore, the orientation of the orbital will not be rotated 45∘ along the xy plane, as stated in option D.
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1. which game are the men playing? chess dominoes poker 2. what kind of cuban food is shown? fried plantains rice and black beans a sandwich with pork, ham, and cheese 3. what is the man in the yellow shirt and white pants doing? dancing eating waving a cuban flag 4. how many stars does the cuban flag have? one
1. The men are playing Dominos in the game.
2. A sandwich with pork ham and cheese is the kind of Cuban food shown.
3. The man in the yellow shirt and white pants is shown Dancing.
4. The Cuban flag has one star.
Dominoes refers to a group of tile-based games with playing pieces that resemble dominoes. A line usually divides the two square ends of each rectangular domino tile. Either a blank space or a series of dots designate each end. Each tile in a set has a back that is either blank or has a similar design, making them all identical.
The playing pieces are what make up a domino set, sometimes referred to as a deck or pack. The typical European domino set consists of 28 tiles with spot counts ranging from zero to six in all possible combinations. Some other names for these tiles are pieces, bones, rocks, stones, men, cards, and simply dominoes.
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The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.75, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
Equally likely and unlikely
Likely
Unlikely
This value is not possible to represent probability of a chance event.
It is likely to randomly select a chocolate chip cookie from the batch.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
The probability of selecting the chocolate chip is given as 0.75.
Which is more than 50%
So, it is likely to randomly select a chocolate chip cookie from the batch.
Thus, It is likely to randomly select a chocolate chip cookie from the batch.
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Answer: B: Likely
Step-by-step explanation:
Geoffrey draws a triangle, one of the angles measure 75 and one of the angles measure 40 what is the measure of the third angle?
As per the measures of given triangle, the measure of the third side is 65°
The term triangle in math is defined as a three-sided polygon, which has three vertices.
Here we have know that the three sides are connected with each other end to end at a point, which forms the angles of the triangle.
Here we have given that Geoffrey draws a triangle, one of the angles measure 75 and one of the angles measure 40
As we all know that the sum of all three angles of the triangle is equal to 180 degrees.
Then let us consider that the third side is x.
Then it can be calculated as,
=> 75 + 40 + x = 180
=> 115 + x = 180
=> x = 180 - 115
=> x = 65°
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A map’s scale of cm to miles is ½ cm equal 10 miles. If the distance from City A to City B is 3.7 cm on the map, what is the actual distance?
Answer: 74 miles
Step-by-step explanation:
3.7 divided by 0.5 = 7.4
7.4 x 10 = 74
74 miles
Adding and subtracting mixed fractions
Answer:
what do yuo mean by adding and subtracting mixed fractions
A regular polygon is such that its interior angle exceeds three times the exterior angle by 20 degree find the number of sides the polygon has
There is no regular polygon that satisfies the given condition.
What is a regular polygon?
A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.
Let n be the number of sides in the polygon.
The interior angle of a regular polygon with n sides is (n-2) * 180/n degrees.
The exterior angle of a regular polygon with n sides is 360/n degrees.
We are given that:
(n-2) * 180/n > 3 * 360/n + 20
Simplifying the equation:
(n-2) * 180 > 3 * 360 + 20 * n
Now we can solve for n.
(n-2) * 180 > 1080 + 20n
180n - 360 > 1080 + 20n
-20n > 720
n < -36
Since n must be a positive integer, no such n exists that satisfies the given condition.
Therefore, there is no regular polygon that satisfies the given condition.
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Convert $2525 US to Argentine peo uing the converion $0. 23364 US per 1 Argentine peo. Round your anwer to the nearet peo
The expression of $2525 US in Argentine peso is 5,788,660 peso, calculated using the conversion rate of $0.23364 US to 1 Argentine peso.
2525 US x 0.23364 Argentine peso = 5,888.85 Argentine peso
Rounded to the nearest peso = 5,788,660 Argentine peso
The conversion rate of US Dollars to Argentine Peso is $0.23364 US per 1 Argentine peso. This means that for every 1 Argentine peso, you would need to spend $0.23364 US. To calculate the equivalent amount of Argentine peso for $2525 US, we need to multiply $2525 US by 0.23364 Argentine peso. This gives us a total of 5,888.85 Argentine peso. However, when making monetary calculations, it is important to round the result to the nearest peso, so the equivalent of $2525 US in Argentine peso is 5,788,660 peso. This means that for every $2525 US, you can purchase 5,788,660 peso in Argentine currency.
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∠A and B∠ are vertical angles. If m∠A = (3x+9) and m∠B=(4x-7) , then find the measure of angle B∠.
Answer:
57 degrees
Step-by-step explanation:
vertical angles are equal. thus, 3x+9 = 4x-7
subtract 3x from both sides to put all x values and their coefficients on one side
9 = x-7
add 7 to both sides to isolate x
x = 16
B = 4x-7 = 4 * 16 - 7 = 57
define a positive integer n to be a factorial tail if there is some positive integer m such that the decimal representation of m! ends with exactly n zeroes. how many positive integers less than 1992 are not factorial tails?
On solving the provided question, we can say that there are 7975/5 - 1595 distinct positive number f(m) less than 1992, 1991-1595 = 396 positive integer.
What is integer?Zero, a positive integer, or a negative integer denoted by a minus sign are all examples of integers. A negative number is the additive reciprocal of a positive number that it corresponds to. A bold Z or a bold "mathbb Z" is frequently used in mathematical notation to denote a group of integers. A positive, negative, or zero integer—not a fraction—is referred to as an integer (pronounced IN-tuh-jer). The numbers -5, 1, 5, 8, 97, and 3,043 are examples of integers. 1.43, 1 3/4, 3.14, and other numbers are non-integer examples. Integers are a collection of integers and their antipodes. Decimals and fractions are not part of the set of integers.
suppose number of zeroes m! be f(m)
f(m) = m/5 + m/25 + m/125 + m/625 + ...
f(m) = f(m+1) = f(m+2) = f(m+3) = f(m+4)
since, f(m)< m/5 + m/25 + m/125 + m/625 + ... = m/4
f(7975) = 1991
there are 7975/5 - 1595 distinct positive number f(m) less than 1992, 1991-1595 = 396 positive integer
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Why is the absolute value of 5 and 5 the same answer?
The absolute value of a number is the distance of that number from 0 on the number line. Since 5 and -5 are both 5 units away from 0, the absolute value of both numbers is 5. Therefore, |5| = |-5| = 5.
The absolute value of a number is a non-negative value that represents the distance of that number from zero on the number line. It is denoted by two vertical bars "||" surrounding the number. For example, the absolute value of 5 is written as |5|.
For positive numbers, the absolute value is simply the number itself. For example, |5| = 5.
For negative numbers, the absolute value is the numerical value of the number but with the opposite sign. For example, |-5| = 5.
In other words, the absolute value of a number removes any negative sign and gives the distance of the number from 0, regardless of its sign. So, the absolute value of 5 is 5 and the absolute value of -5 is also 5. They are the same distance from 0 on the number line.
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Does anyone know how to delete a question?
To delete a question, if you are using a web browser, please click on the dots next to the question to locate the option to eliminate them.
What is deleting something from the web?Deleting something from the web is to mean you are removing that thing due to any reason. When you delete a file, it is removed from the location where it is stored.
If your hard disk is the storage location, the file gets relocated to the Recycle Bin. The file is destroyed if the storage place is a disk, CD, or network location.
Therefore, if you are using a web browser, please click on the dots next to the question to locate the option to delete them.
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andrew is moving to nashville TN. he decides to hire a moving company and gets two quotes. the first quote is $340 which includes 10 hours of packing and 3 hours of loading tje truck. the second quote is for $495 which includes 15 hours of packing and 4 houra of loading the moving truck. determine the hourly rates the moving company charges for packing and loading the truck
Answer: $26.094 an hour
Step-by-step explanation:
First, add up the total hours:
10 + 3 + 15 + 4 = 32
Now, add up the total amount charged:
340 + 495 = 835
Now, divide the amount charged by the number of hours:
835 / 32 = *26.094
* or 26.09375 if it needs to be exact.
Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
Work out how much they each get.
Using the provided condition and values, This is solved using the concept of word problem, The answer is Polly gets £30, Andy gets £60 and Phoebe gets £180.
What is word problem?A word problem in mathematics is a problem that is written in natural language (i.e., words) rather than in mathematical notation. It presents a real-world scenario that requires the use of mathematical concepts and skills to solve. Word problems often involve finding unknown quantities based on given information, and they can be challenging because they require students to understand the problem and translate it into mathematical equations or formulas. They are often used in primary and secondary education to help students apply their math skills to real-world situations and develop critical thinking skills.
What do you mean by mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a mathematical statement or equation. Mathematical expressions can be evaluated to find a numerical value. They can also be simplified by applying the order of operations (PEMDAS) to combine like terms or to remove unnecessary parentheses. Additionally, mathematical expressions can also be used to represent the relationship between different variables.
Let x be the amount that Polly gets.
Andy would get 2x and Phoebe would get 3(2x) = 6x
So the total amount would be x + 2x + 6x = 9x
Therefore, x + 2x + 6x = £270
9x = £270
x = £30
So Polly gets £30, Andy gets £60 and Phoebe gets £180.
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An Isosceles triangle and a square have the same perimeter. Find the side lengths of the triangle.
triangle base: 3x
triangle height: 2x+1
square length: 4
Answer: 5, 5, 6
How you get this answer?
If the perimeters are the same. Then the dimension of the triangle will be 5, 5, and 6.
What is the perimeter of the geometry?The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.
Let 'x' be the isosceles sides and the 'y' be the third side. Then the equation is given as,
x + x + y = 4 × 4
2x + y = 16
2x + y = 2(5) + 6
Then the dimension of the triangle will be 5, 5, and 6.
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The formula for the area of a triangle is A = bh/2.
If the base increases by 10%, and the height increases by 10%,
then the area A increases by X%. Find the exact value of X.
The formula for the area of a triangle is A = bh/2.
If the base increases by 10% from b to b(1+10/100) = b(1.1) and the height increases by 10% from h to h(1+10/100) = h(1.1)
then the new area A' = (b(1.1))(h(1.1))/2
To find the percentage increase in area we can use the formula:
X% = (A'-A)/A * 100%
Plugging in the values we have
X% = (b(1.1)h(1.1))/2 - bh/2 / bh/2 * 100%
Simplifying we get
X% = (bh(1.1)^2 - bh)/(bh/2) * 100% = (1.1)^2 * 100% - 100% = 21%
Therefore, the area A increases by 21%.
I hope this helps :)
From 8.30, bell A rings every 8 minutes and Bell B rings every 32 minutes. after how many minutes will the ring again at the same time for the second time.
Answer:
9:02
Step-by-step explanation:
The least common multiple (LCM) of 8 and 32 is 32.
Therefore, both bells will ring at the same time after 32 minutes, at 9:02.
What type of triangle has side lengths of 8cm 8cm and 10cm?
A triangle with the given measure of side length 8cm, 8cm , and 10cm is an isosceles triangle with two sides of equal measure.
As given in the question,
In the given triangle,
Measure of side length of a triangle is given by :
8cm, 8cm , and 10cm
Longest side = 10cm.
But ( 8)² + (8)² ≠ (10)²
It is not right angled triangle as does not satisfied the Pythagoras theorem.
8cm = 8cm.
Here in the given triangle two side length of the triangle are of same measure.
It represents it is an isosceles triangle.
Therefore, the given triangle side length represents it is an isosceles triangle with two sides of equal measure.
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evaluate [tex]5\sqrt{75} - 3\sqrt{48} +2\sqrt{27\\}[/tex]
Answer:
[tex]19\sqrt{3}[/tex]
Step-by-step explanation:
Simple math. You could extrapolate the square roots and simplify the coefficients to easily subtract numbers with the same roots.
A line passes through the point (4,8) and has a slope of 5. Write and equation in point slope form
Answer:
y - 8 = 5(x -4)
Step-by-step explanation:
(4,8) 4 is the x value and 8 is the y value.
You subtract 8 from y and subtract 4 from x. The slope is after the equal sign.
Answer:
Step-by-step explanation:
The point slope form is y- y₁ = m(x - x₁)
m is the slope or 5 here.
It is given that (x₁ , y₁) = (4, 8)
Just put the values there.
y - 8 = 5(x - 4)
5x - 40 - y + 8 = 0
5x - y - 32 = 0
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monica has a goal to complete a triathlon. the race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run. in training, monica can swim at an average pace of 2.1mph. she rides her bike at an average of 18.8mph and runs at 5.1mph. estimate how long it will take her to complete the triathlon.
3.31 it will take her to complete the triathlon.
To find this, we can apply the equation distance = rate x time.
We are aware of the length and pace of each triathlon leg. Let's name them, respectively, d and r. We must locate the time, which we shall designate as t.
d = r x t or
t = d/r
The distance is 0.93, or 93/100, and the rate is 1.2, or 12/10 when swimming. As a result of our formula, we have:
12/10 divided by 93/100 yields the same result as
93/100 * 10/12
time to swim = 93/120 = 31/40
We have a distance of 24.8 miles, or 248/10, and a speed of 18.8 miles, or 188/10, for biking. Using the same formula, we obtain:
248/10 divided by 188/10 or
248/10 * 10/188 = 248/188 = 62/47 = time to bike
Finally, for the run, the distance is 6.2 = 62/10 and the rate is 5.1 or 51/10. Plugging this into the formula gives:
62/10 divided by 51/10 or
62/10 * 10/51 = 62/51 = time to run
= 31/40 + 62/47 + 62/51
=3.31
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plese hurrrrrrrrrrrrrrrry
A right triangle and two of its side lengths are shown in the diagram.
Which measurement is closest to the value of x in centimeters? Round to the nearest tenth.
100 points
Answer: 14.4
Step-by-step explanation:
Pythagorean theorem states that a² + b² = c²
Using this,
8² + 12² = c²
64 + 144 = c²
208 = c²
c = 14.4 when rounded to the nearest tenth
What are the three methods to solve a 3 variable linear system of equations?
The three methods to solve a 3 variable linear system of equations are substitution, elimination, and matrix inversion.
1. Substitution: This method involves isolating one of the variables in one of the equations, then substituting it into the other equations to solve for the other two variables.
2. Elimination: In this method, the coefficients of two of the variables in one of the equations are multiplied by constant values, so that when the two equations are added together, one of the variables is eliminated. The remaining variable can then be solved for, and the other two variables can be found using substitution.
3. Matrix Inversion: This method involves writing the system of equations in matrix form, then inverting the matrix using matrix algebra to solve for the three variables.
The three methods to solve a 3 variable linear system of equations are substitution, elimination, and matrix inversion. Substitution involves isolating one of the variables and substituting it into the other equations, elimination involves multiplying coefficients of two of the variables and adding the equations together to eliminate one of the variables, and matrix inversion involves writing the system of equations in matrix form and inverting the matrix to solve for the three variables.
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