Create a pattern with the rule n - 4
Answers
The pattern of rule n-4 can consist of several numbers depending on the value of n (integer, whole number, natural number or prime number)
Further explanationAlgebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
• 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
• 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
• 3. constants
is a fixed value, can be a number
• 4. arithmetic operations
operations [tex]{\displaystyle \boxed {+}, \boxed {-}, \boxed {:}, \boxed {x}}[/tex]
Numbers in mathematics can be divided into several terms
1. integer
numbers consist of positive, negative and 0 numbers
2. natural numbersnumbers consisting of positive numbers, starting with number 1
3. whole numbera number consists of positive numbers and zeros
4. prime numbernumbers that can only be divided by numbers themselves and the number 1
And examples of other numbers such as imaginary numbers, real numbers, rational numbers, etc.
Integers themselves consist of
1. positive integersthe number to the right of the number 0 is 1,2,3 ...
2. negative integersthe numbers to the left of the zeros are -1, -2, -3 ...
3. number 0
n-4 is an algebraic form
the pattern is generated from rule = (n-4)
There are several possible values of n that can be entered to form a pattern
if it's an integer, the value of n = let's say -3, -2, -1,0,1,2,3pattern = -7, -6, -5, -4, -3, -2, -1, ...
if it's a natural number then the value of n = let's say 1,2,3pattern = -3, -2, -1, ...
if it's a whole number then the value of n = let's say 0,1,2,3pattern = -4, -3, -2, -1, ...
if it's prime number then the value of n = let's say 2,3,5,7 ...pattern = -2, -1,1,3, ....
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Express 0.000431 L answer as an integer
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type of number
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Classify the number as a natural, whole, integer, rational, or irrational.
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Keywords: natural, whole, integer, prime, number
The pattern of the rule [tex]\left( {n - 4} \right)[/tex] is [tex]\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.[/tex]
Further explanation:
Given:
The rule is [tex]\left( {n - 4} \right).[/tex]
Explanation:
If n takes the value of natural numbers.
Substitute 1 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]
[tex]\begin{aligned}n - 4&= 1 - 4\\&=- 3\\\end{aligned}[/tex]
Substitute 2 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]
[tex]\begin{aligned}n- 4&= 2 - 4\\&= - 2\\\end{aligned}[/tex]
If [tex]n[/tex] takes the value of whole numbers.
Substitute 0 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]
[tex]\begin{aligned}n - 4&= 0 - 4\\&= - 4\\\end{aligned}[/tex]
The pattern of the rule [tex]\left( {n - 4} \right)[/tex] is [tex]\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.[/tex]
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Number System
Keywords: numbers, rule, n-4, create, pattern, irrational numbers, rational numbers, adding, subtracting, multiplication, division, decimal expansion, natural numbers
Related Questions
Jack has 5 craft sticks. He needs 4 times that number for a project.how many craft sticks does jack need altogether?
Answers
Diego says that the product of 0.51 x 2.427 will have five decimal places. is Diego correct.
Answers
The product of 0.51 x 2.427 is 1.23777 will have five decimal places, therefore, Diego is correct
The product of a number simply means that we should multiply the number, therefore, we have to multiply 0.51 by 2.427 and this will be:= 0.51 x 2.427 = 1.23777
Therefore, it has five decimal places and he's correct.Read related link on:
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Cindy says she found a shortcut for doing multiplication problem. when she multiplies 3x24 she says 3x4is 12 or one ten and 2 ones. then there's just 2 tens left in 24, so add it up and you get. 3 tens and 2 ones. do you think Cindy's shortcut works? explain your thinking in words, and justify your response using model or partial products
Answers
Cindy's shortcut will not work because;
She made a mistake by not multiplying the 2 tens by 3 .
She wants to multiply 3 × 24.Now, for 24; 2 is the tens digit and 4 is the units digit.
This means according to partial products, we can rewrite 24 as; (2 × 10) + (4 × 1)
Now, to multiply 3 by (2 × 10) + (4 × 1) gives the expression;
3[(2 × 10) + (4 × 1)]
Using distributive property to distribute 3 into the bracket, we have;3(2 × 10) + 3(4 × 1)
For her first step, she did; 3 × 4 = 12This corresponds with the solution i got which is 3(4 × 1) = 12.
Now, the second part of the solution is; 3(2 × 10) = 60
But she just used 2 tens which is (2 × 10) = 20.
She now proceeded to add the 2 tens to the 1 ten and 2 ones instead of adding 6 tens to the 1 ten and 2 ones .This means she failed to multiply 2 tens by 3 and that was her mistake.
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Alyssa is designing a garage with a rectangular floor area 240 square feet.
List the length and width in feet of all the possible garages Alyssa can make. Use while number dimensions.
Which rectangles are reasonable for a garage floor? Explain?
Answers
Alyssa can design her garage with dimensions that are factors of 240 square feet. Possible dimensions range from 1 ft x 240 ft to 15 ft x 16 ft, with more practical and reasonable options being dimensions that are narrower but still close to a square, such as 12 ft x 20 ft or 15 ft x 16 ft.
Explanation:The question regarding Alyssa's garage design involves finding all the pairs of whole numbers that multiply to give an area of 240 square feet for a rectangular floor. To determine this, we must find the factors of 240 that can serve as potential lengths and widths of the garage.
Factors of 240 that represent possible lengths and widths (where the first number in each pair is the length and the second is the width) are:
However, choosing the dimensions that are reasonable for a garage floor requires considering practicality. Very long and narrow rectangles, such as 1 ft x 240 ft or 2 ft x 120 ft, are not practical for a garage. Usually, dimensions that are closer to square but still rectangular, like 12 ft x 20 ft or 15 ft x 16 ft, are more suitable and reasonable for a garage.
Name the property shown by each statement.
1. 1 * (a+3) = a+3
2. (ab) c = c (ab)
3. m (nr) = (mn) r
4. 2p + (3q+2) = (2p +3q) + 2
5. 2t * 0 = 0
6. 0+ 2s = 2s
For 46 points...
Answers
1. Identity Property of Multiplication: [tex]\(1 \times (a+3) = a+3\)[/tex]
2. Associative Property of Multiplication: [tex]\((ab) c = c (ab)\)[/tex]
3. Associative Property of Multiplication: [tex]\(m (nr) = (mn) r\)[/tex]
4. Associative Property of Addition: [tex]\(2p + (3q+2) = (2p +3q) + 2\)[/tex]
5. Zero Property of Multiplication: [tex]\(2t \times 0 = 0\)[/tex]
6. Identity Property of Addition: [tex]\(0+ 2s = 2s\)[/tex]
1. Identity Property of Multiplication: [tex]\(1 \times (a+3) = a+3\)[/tex]
- The identity property of multiplication states that any number multiplied by 1 equals the number itself.
2. Associative Property of Multiplication: [tex]\((ab) c = c (ab)\)[/tex]
- The associative property of multiplication states that the grouping of factors does not affect the result of multiplication.
3. Associative Property of Multiplication: [tex]\(m (nr) = (mn) r\)[/tex]
- Similar to statement 2, this demonstrates the associative property of multiplication.
4. Associative Property of Addition: [tex]\(2p + (3q+2) = (2p +3q) + 2\)[/tex]
- The associative property of addition states that the grouping of terms does not affect the result of addition.
5. Zero Property of Multiplication: [tex]\(2t \times 0 = 0\)[/tex]
- The zero property of multiplication states that any number multiplied by 0 equals 0.
6. Identity Property of Addition: [tex]\(0+ 2s = 2s\)[/tex]
- The identity property of addition states that adding 0 to any number does not change the value of the number itself.
Complete question:
Name the property shown by each statement
1. 1 * (a+3) = a+3
2. (ab) c = c (ab)
3. m (nr) = (mn) r
4. 2p + (3q+2) = (2p +3q) + 2
5. 2t * 0 = 0
6. 0+ 2s = 2s
If two sides of an isosceles triangle each measure 1/4 inch and the third side measures 3/8 inch what is the perimeter of the triangle
Answers
8+11=96 guys it goes
1+4=5 2+5=12 3+6=21 and then theres 8+11=? now in mathematical form it'd be 96
Answers
2+5 and add 5 = 12
3+6 and add 12 = 21
4+7+21=32
5+8+32=45
6+9+45=60
7+10+60=77
8+11+77=96
What terms are also expressions (none some ore all)?
Answers
Terms that include a number and a letter are expressions.
Hope this helps :)
Answer:
Some
Step-by-step explanation:
Term and expression are two different concepts in mathematics. When numbers, symbols and operators are combined at one place to express or show some value, it is called expression. For example;
4y-3 or 3-1
It is an expression.
Where the term can be stated or defined as a single or smallest identity. Any number or variable or combination of them can be stated as term.
For example, if we take above expression 4y-3
4y-3, we can say that 4y is one term and 3 is second term.
Now the point to be noted here is, if you separately take 4y, it can be expressed as expression as well, because 4y is expressing value of something which is in accordance with the definition of expression.
The product of a number and 4 is at least -12
Answers
if simplifies: x > -3
X is a variable
Final answer:
The question deals with an inequality representing that the product of an unknown number and 4 is at least -12, resulting in a solution where the number must be greater than or equal to -3.
Explanation:
The question 'The product of a number and 4 is at least -12' can be translated into the inequality 4x ≥ -12, where x represents the number. To solve this, divide both sides of the inequality by 4, which follows the multiplication rules for the sign. This gives us x ≥ -3. So, the number must be greater than or equal to -3.
This is consistent with the fact that when two negative numbers multiply, the answer is positive, and when a positive and a negative number multiply, the answer is negative.
Pamela is planning to make a dress. She needs to buy 2 3/4 yards of fabric that cost 8$ per yard 1 2/3 yards of fabric that cost $6 per yard. How much will the fabric cost?? Please help. My mom won't help me and I really don't need my grades to go any lower...
Answers
Jan spent the day at the mall. She came home with $8.25. She spent $6.25 on earrings and 4 times that amountnon a shirt. How much money did she take to the mall originally?
Answers
If she spent $6.25 on earrings and 4 times that amount on a shirt. She take $39.50 to the mall originally.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that, Jan spent the entire day shopping. She brought $8.25 home. She spent $4 times that much on a blouse and $6.25 on earrings.\
We have to find the amount she take to the mall originally.
Suppose the total amount is x,
x=$8.25 + $6.25 + $6.25×4
x=25+14.5
x=39.50
Thus, if she spent $6.25 on earrings and 4 times that amount on a shirt. She take $39.50 to the mall originally.
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PLEASE HELP FAST WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST
Estimate the quotient of 250.311 ÷ 4.65. Round the dividend and divisor to the nearest whole number.
Answers
250.311 → 250
4.65 → 5
So, now we need to divide 250 /5
It would be equal to 50
So, your final answer is 50
Hope this helps!
c − 3.5 ≤ 3.5 plz help me
Answers
After doing so, we have C ≤ 3.5 + 3.5 = 7, so C ≤ 7
A vase can hold 7 flowers. If a florist had 67 flowers she wanted to put equally into vases, how many flowers would be in the last vase that isn't full.
Answers
Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale factor of 8/3. Elias says that will be a reduction because the scale factor is a fraction. Is he correct? Explain.
Answers
Answer:
Elias is not correct. The new rectangle will be an enlargement because the scale factor is greater than 1. To be a reduction, the scale factor must be between 0 and 1.
Scale factor less than 1 gives the expanded form of the figure so Elias is wrong.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
If the dimension of any figure is 2 units by using scale factor 2/1 it will become 2 × scale factor ⇒ 2 × 2/1 = 4
Similarly,
Scale factor 8/3 creates all dimensions by a factor of 8/3 = 2.67 so all dimensions will be going to expand.
Hence "Scale factor less than 1 gives the expanded form of the figure so Elias is wrong".
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if a fish swims 7/8 of the depth of 32 foot deep lake, how many feet down did the fish swim?
Answers
The fish swam 28 feet down in the 32-foot deep lake.
To find out how many feet down the fish swam, we can multiply the depth of the lake by the fraction representing the proportion it swam.
The depth of the lake is given as 32 feet, and the fish swam 7/8 of this depth.
Multiplying 32 by 7/8:
32 * (7/8) = 224/8 = 28
Therefore, the fish swam 28 feet down in the 32-foot deep lake.
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350% as a decimal and as a mixed fraction
Answers
So we divide 350 by 100 to get decimal form: [tex]\frac{350}{100}=3.5[/tex]
As for mixed fractions, you will need to find a multiple of the denominator that is as close as possible to the fraction form of the percentage.
So here we have [tex]\frac{350}{100}[/tex]; to convert this from an improper number to a mixed number, we need to find the closest multiple of 100 to the numerator, 350.
That would be 3, since [tex]3\times100=300[/tex].
Therefore you will now have a fractional sum of [tex]\frac{300+50}{100}[/tex]. As 300 divided by 100 is 3, that's the whole number part... the remaining 50 will go into the fractional part, giving you [tex]3\frac{50}{100}[/tex] or [tex]3\frac{1}{2}[/tex]
Therefore, the answer is 3.5 as a decimal.
To convert a percent into a mixed fraction, you first write down the percent divided by 100 like this: percent 100.
Then, if the percent is not a whole number, multiply both top and bottom by 10 for every number after the decimal point.
Finally, simplify (or reduce) the faction.
Therefore, the answer is 3[tex] \frac{1}{2}[/tex] as a mixed faction.
the ratio of shoes sold to sandals was 8:5. If there were 72 sandals sold how many shoes were sold?
I WANT AM ASWER FAST NO TIME TO WAIT
Answers
_________________
Explanation:
_________________
The ratio of:
__________________
shoes : sandals = 8:5
_____________________
We want to know how many SHOES were sold; if 72 sandals were sold.
__________________________
→ 8:5 = x:72 ; in which "x" = number of shoes were sold;
____________________
We can write this as:
___________________
→ 8 / 5 = x / 72;
___________________
→ Cancel the "8" to a "1"; and change the "72" to a "9"; since "8 * 9 = 72" ;
______________________
→ and rewrite as: 1 / 5 = x / 9 ;
____________________________
→ SInce "1/5" = 0.2 ; write as: 0.2 = x / 9 ↔ (0.2) x = 9 ;
__________________________
→ Now, divide EACH side of the equation by "(0.2)" ; to isolate "x" on one side of the equation; and to solve for "x' ;
___________________________________
→ (0.2) x / (0.2) = 9 / (0.2) ; → to get: 45.
_____________
The answer is: 45 sandals.
________________________
(Note: Ratio of 45 shoes to 72 sandals)
Answer:
45
Step-by-step explanation:
The population of a town doubled in 5 years. Then doubled again in the next 10 years. What is the percent increase?
Answers
4x-x=3x
300%
Write an expression for the calculation double 2 then add 5
Answers
2x + 5 is the expression for the calculation double 2 then add 5.
The given statement is double 2 then add 5.
We have to make an expression using this statement.
We will separate the statement into two parts.
- Double 2
- Add 5
We need to assume a number and let that number be x.
So first we need to double that number as 2x and add 5.
We have,
2x + 5
Thus 2x + 5 is our expression.
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A bowl contains 15 granola bars and 10 fruit bars.
What is the ratio of granola bars to fruit bars?
Enter your answer in simplest fractional form in the box
Answers
So in it's simplest form the answer would be 3:2 because you would divide each side by 5
Hope this helps :)
Answer
Find out the what is the ratio of granola bars to fruit bars .
To prove
As given
A bowl contains 15 granola bars and 10 fruit bars.
The ratio of the granola bars to fruit bars is written as .
[tex]\frac{Number\ of\ granola\ bars}{Number\ of\ fruits\ bars} = \frac{15}{10}[/tex]
Simplify the above
[tex]\frac{Number\ of\ granola\ bars}{Number\ of\ fruits\ bars} = \frac{3}{2}[/tex]
Therefore
[tex]the\ ratio\ of\ the\ granola\ bars\ to\ fruit\ bars\ be\ \frac{3}{2} .[/tex]
cynthia's favorite clothing store is having a 30% off sale.what fraction represents 30%
Answers
A paddle boat rents for $10 plus $8 per hour. How much does it cost to rent a paddle boat for h hours?
Answers
Hope this helps :)
A bottle rocket experiences a 500 N force to the right and 300 N of air resistance to the left. Will it accelerate to the left, right, or not accelerate at all?
Answers
A
I got my information from .yahoo
Write 5 5/9 as a improper fraction
Answers
5 * 5/9
25/9
The correct answer is 25/9, as shown above.
A theater company charges $4.50 per ticket for people of all ages. If c represents the total number of children who bought tickets and represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answers
hope that helps
2/3 of ___=6
Can you help me?
Answers
the charges for an international call made using the calling card for two phone companies are shown in the table. what is the length of a phone call that would cost the same no matter witch company is used?
Answers
10 minutes would be your answer. I just solved for 35 + 3x=45+2x
Answer:
10 minutes.Step-by-step explanation:
We can express the charge made by the companies as equations.
The charge made by the Company A starts at 35 cents, and cost 3 additional cents per minute. We can write this as:
[tex]charge_A(t)= 35 \ c + 3 \ \frac{c}{min} * t[/tex]
where t is the length of the call in minutes. For the company B the charge starts at 45 cents, and cost 2 additional cents per minute. This is:
[tex]charge_B(t)= 45 \ c + 2 \ \frac{c}{min} * t[/tex].
Now. At what length t' the cost of the phone call is the same? We can write the condition as:
[tex]charge_A(t')= charge_B(t')[/tex]
this means:
[tex]35 \ c + 3 \ \frac{c}{min} * t'= 45 \ c + 2 \ \frac{c}{min} * t'[/tex]
doing a little work...
[tex]35 \ c + 3 \ \frac{c}{min} * t' - 35 \ c = 45 \ c + 2 \ \frac{c}{min} * t' - 35 \ c[/tex]
[tex]3 \ \frac{c}{min} * t'= 10 \ c + 2 \ \frac{c}{min} * t'[/tex]
[tex]3 \ \frac{c}{min} * t' - 2 \ \frac{c}{min} * t'= 10 \ c[/tex]
[tex] 1 \ \frac{c}{min} * t'= 10 \ c[/tex]
[tex] \frac{1 \ \frac{c}{min} * t'}{1 \ \frac{c}{min}}= \frac{10 \ c}{1 \ \frac{c}{min}}[/tex]
[tex] t'= 10 min [/tex]
And this is the length of time we are looking for.
Pablo is dividing a dish of brownies for a party. The brownie mix cost $2.89. He cuts the brownies into squares that measure 3 inches by 3 inches. If the pan is 18 inches long and 12 inches wide, how many brownies did he cut?
Answers
You can check my answer by drawing a box on a piece of paper, and drawing little boxes inside. Keep in mind that each brownie is 1 unit, or 3 inches.
Area of a square = side²
Area of a rectangle = Length x Wide
The number of square brownies cut from the pan is 24 brownies.
What is a square?A Square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
Brownie dimensions:
Length = 18 inches
Wide = 12 inches
Area of a rectangle = Length x Wide
Area of the Brownie
= 18 x 12
= 216 square inches
The brownies are cut into squares:
Side = 3 inches
Area of the square brownies.
= 3 x 3
= 9 square inches
Now,
The number of squares with sides of 3 inches cut from the Brownie.
= Area of the brownies / Area of the square brownies
= 216 / 9
= 24
Thus,
The number of square brownies cut from the pan is 24 brownies.
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What is 56,392 rounded to the nearest ten thousand??