Answers
___________________
"n x 3 +1 " ; you would write:
__________________________
"nine times three plus 1" as:
___________________________
(n*3) + 1 ; (Using the order of operations: BE MD AS; which stands for:
"Be excused, my dear Aunt Sally";
or other variant phrase);
__________________________________________
Using this "order of operations" rules; we know that "multiplication" comes BEFORE "addition"; as such:
_________________
Given: "n * 3 + 1"; we can write:
________________________
(n*3) + 1 ; with the parentheses as an emphasis that this "multiplication" component comes first.
___________________________________________
By convention, when a variable has a coefficient other than "1", we usually write the term with the coefficient coming before the variable.
___________________________________________
So, we can rewrite:
__________________
(n*3) + 1 ; as:
__________________
(3*n) + 1 .
__________________
By convention; if we have a coefficient multiplied by a variable (symbolized with an "alphabet letter"), we simply write that coefficent, followed by the [variable symbolized with an "alphabet letter"]. By convention, the implication is that multiplication is inherent in these circumstances.
So, "(3*n)" can be rewritten as "3n";
__________________________________________________
And the term for the "pattern" (which is not an 'equation'); is:
____________________
3n + 1
Related Questions
a store has 30 boxes of melon each box has 4 bags each bag holde 2 melons what is the total number of melon in the store?
Answers
4 x 2 x 30
The sale tax rate in Brads town is 4.25%. If he buys 3 lamps for 22.49 each and a sofa for 829.99, how much sales tax does he owe?
Answers
To determine the sales tax owed, calculate the total cost of the items purchased and apply the sales tax rate.
Explanation:The sales tax rate in Brads town is 4.25%.
Calculate the total cost of the lamps: 3 lamps at $22.49 each.Calculate the total cost of the sofa.Find the total amount of sales tax owed.Therefore, the student owes a total amount of sales tax as calculated in step 3.
Two candidates ran for class president. The candidate that won received 80% of the 360 total votes. How many votes did the winning candidate receive?
ANSWER ASAP PLEASE
Answers
The winning candidate for the class president's election received 288 votes, as this represents 80% of the total votes (360). We calculated this by converting the percentage to a decimal (0.80) and multiplying it with the total votes.
Explanation:This problem is about finding percentages of a given amount. The winner of the election received 80% of the votes. Given the total number of votes is 360, we need to find 80% of 360 to determine the number of votes the winning candidate received. To calculate this, simply multiply 360 by 0.80 (or 80%).
Here's the step-by-step calculation:
Convert the percentage to a decimal by dividing it by 100. So, 80 / 100 = 0.80. Multiply this decimal by the total votes. So, 0.80 * 360 = 288.
Hence, the winning candidate received 288 votes.
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Which of the following relations is not a function?
A. (-7, 4), (2, 3), (-1, 1), (7, 2)
B. (7, 4), (-1, 2), (2, 1), (-7, 2)
C. (2, 4), (-1, 2), (2, 1), (-7, 2)
D. (-1, 4), (2, 2), (7, 1), (-7, 5)
Answers
Answer:
The answer is c.
Step-by-step explanation:
Ken, a meteorologist, is predicting next year’s temperatures in New York City. He predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September. Use the number line interactive tool to determine Ken’s temperature prediction for September. Ken’s predicted temperature for September is
Answers
Thus in September the low temperature would be 20-4=16 degrees.
Answer:
the answer is 16 c:
Step-by-step explanation:
how do you divide 32 by 3,072 in long division
Answers
64 r 24
32/2072
-192(bring down 2)
___
152 (how many times does 32 go into 152)
-128
____
24
there for ur R=24
Rewrite 12/17 as a decimal number. Round to the nearest thousandth.
Answers
12/17
.7058823529411765...
↑
cut it off here
≈.705
↑
(This symbol means "equals about")
12/17 as a decimal, rounded to the nearest thousandth, is 0.706, obtained by dividing 12 by 17 and rounding up due to the fourth decimal place being greater than 5.
Explanation:To convert the fraction 12/17 to a decimal, divide 12 by 17. Upon doing this calculation, we get approximately 0.7058823529411765. Now, to round this to the nearest thousandth, we look at the fourth decimal place, which in this case is an '8'. Therefore, we round up the third decimal place from '5' to '6', giving us 0.706 as the final answer, rounded to the nearest thousandth.
6,174,798,604 as an integer
Answers
the actual distance between 2 cities is 135 km. the map scale is 1 cm : 100 km. find the map distance
Answers
Answer:
1.35
Step-by-step explanation:
The Olympic record for mens 50meter freestyle is 21.3 seconds. a. express the speed in meters per second b. At this rate how many meters could be swum in 1 minute
plz help me ill thank you
Answers
v = 50 / 21.3
v = 2.43....
a) the speed in meters per second is 2.43...
2.43.... * 60 = 145.8
b) in 1 minute he would swim about 145.8 meters
V = 50/21.3
V = 2.43
The speed is 2.43 meters per second
b) 2.43 * 60 = 145.8
He would swim at about 145.8 meters in 1 minute
Kathy is baking cakes. Each cake requires 1/12 of a teaspoon of vanilla, and she has 9/12 of a teaspoon, how many cakes can she bake
Answers
Pls hellllloopppppppp
Answers
What is 10 times as much than 0.84
Answers
what is the area of a trapezoid with the base 6cm and 3 cm and a height of 3cm
Answers
Ted is asked to multiply 10^2 times 18.72.How many places and in which direction should he move the decimal point to get the correct product?
Answers
3 friends want to share 4 granola bars evenly. How much would each friend get? Show your answer in 2 different ways.
Answers
4 granola bars divided by 3 friends = 1 3/10
find the area of the large rectangle by multiplying the number of rows by the number of squares in each row.
Answers
The area of a rectangle is calculated by multiplying the number of rows by the number of squares in each row, which represents the length and breadth respectively.
Explanation:The area of a rectangle can be calculated by multiplying the number of rows by the number of squares in each row. This corresponds to the multiplication of the length (number of squares in each row) and the breadth (number of rows). For example, if you have a rectangle made up of 4 rows and each row consists of 5 squares, the area would be 4 rows * 5 squares per row = 20 squares.
In real-life applications, for instance, if calculating the area of a floor that is 12.0 m², and the uncertainty is 3 percent (expressed as an area this is 0.36 m² - rounded to 0.4 m² assuming measured to a tenth of a square meter). Therefore, understanding the concept of calculating area is highly important.
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A recipe for lemonade calls for 1 cup of sugar and 5 cups of water. How much sugar is used per cup of water?
Answers
Answer:
[tex]\frac{1}{5}[/tex] cup of sugar per cup of water
Step-by-step explanation:
Set up a ratio with sugar on top and water on bottom to figure it out.
"If 1 cup sugar is equal to 5 cup water, then [tex]x[/tex] cup sugar equal to 1 cup water"
Translating the above statement into ratios:
[tex]\frac{sugar}{water}=\frac{1}{5}=\frac{x}{1}[/tex]
Cross multiplying and solving for [tex]x[/tex] gives us:
[tex]\frac{1}{5}=\frac{x}{1}\\5x=1*1\\5x=1\\x=\frac{1}{5}[/tex]
So [tex]\frac{1}{5}[/tex] cup of sugar is used per cup of water.
Use any model you choose to solve the story problem.
Robbie distributed of his income in equal amounts among 6 bank accounts.
What fraction of his income is in each of the accounts?
A. 1/6
B. 1/24
C. 3/2
D.24/1
Answers
You buy two picture frames that are similar. The ratio of the corresponding side lengths is 4:5. What is the ratio of the areas?
Answers
Let us call the frames A and B
The two sides of A are Ax and Ay
The two sides of B are Bx and By
Bx 4
---- = ----
Ax 5
Bx = (4*Ax)/5
As they are similar: By = (4*Ay)/5
Area of A = Ax*Bx
Area of B = Ay*By = (16*Ax*Ay)/25
Area of B 16
----------- = -------
Area of A 25
Jessie and Nathan went out to eat. Their lunch cost $17.98. If they give the waitress a 17% tip, how much was their total cost?
Answers
SO, 17.98 + 3.05= 21.03
the answer is- 21.03dollars as thier total
divide. write in smplest form 1 4/9÷1/3
Answers
(13/9) * (3/1) = (39/9) = 4 1/3
bonnie has set of 40 tiles that she bought while traveling in South Africa. What is the largest frame size (on each side) that she can make with these. tiles? Will she use all of her tiles?
Answers
Bonnie can make a frame with sides measuring 20 tiles and 2 tiles, using all of her 40 tiles.
Explanation:To find the largest frame size that Bonnie can make with her 40 tiles, we need to determine the factors of 40. A factor is a number that divides evenly into another number. The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.
To create a frame, Bonnie needs two sides with lengths that multiply to give 40. The largest frame size will have sides of length 20 and 2, which can be achieved by placing the tiles in a rectangular shape.
Therefore, Bonnie can make a frame with sides measuring 20 tiles and 2 tiles, using all of her 40 tiles.
Write a number with the digit 5 in the ones place.
Answers
I really hope it helped :)
The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city's population p (in thousands of people) x years after 2010?
A. p=4x+50
B. p-450=4(x-5)
C. p-15=4(x-450)
D. p=4x+15
Answers
An equation that gives the city's population p (in thousands of people) x years after 2010 will be D. p = 4x + 15.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this situation, the population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people.
p = 450
4x + 15 = 450
4x = 435
Divide.
x = 108.75
Substituting the answer to check will be:
p = 4(108.75) + 15
p = 450
The correct option is D.
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The equation that gives the city's population x years after 2010 is p = 4x + 390.
Explanation:To find an equation for the city's population x years after 2010, we need to determine the initial population in 2010 and the rate at which the population is increasing. Since the population is increasing by 4000 people each year, that means the population will increase by 4 people for every 1 year. We can represent this with the equation p = 4x + p0, where p is the population x years after 2010 and p0 is the population in 2010. Given that the population in 2025 is projected to be 450,000 people, we can substitute x = 15 into the equation and solve for p0:
p = 4(15) + p0
450 = 60 + p0
p0 = 450 - 60
p0 = 390
Therefore, the equation that gives the city's population p (in thousands of people) x years after 2010 is p = 4x + 390. So, the correct answer is option A: p = 4x + 390.
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The correct equation that gives the city's population 'p' (in thousands of people) 'x' years after 2010 is 'p-450 = 4(x - 15)', option B.
Explanation:The problem can be solved by understanding the concept of linear equations. Since the population is growing steadily by 4000 each year, we can say that the rate of change is constant, which implies linear growth. The population in 2010 forms the base value and the annual increase forms the slope.
The year 2025 corresponds to 15 years after 2010 and at that point the population is projected to be 450,000 (or 450 based on the problem's notation of thousands of people). Therefore, for each year after 2010, the population increases by 4 (thousands of people). Consequently, the equation which represents this situation would be:
p = 4x + 450
But, since the question has given options that are in the format of p in terms of (x-15), we subtract 15 from each side to put the equation in the given format:
p-450 = 4(x - 15)
So, the correct answer is B.
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What is the constant of variation for this relationship?
xy = –12
–1.2
–0.12
–12
-1/4
Answers
What is the value of the function at x = 2?
Answers
x= 2 y= -3
What is the answer to this question
Answers
by graph (intrsection ) one solution : (3 , -2)
Write a phrase for each algebraic expression 8y
Answers
The phrase for the algebraic expression 8y is 'eight times the variable y'. It represents a multiplication of the variable y by 8.
The algebraic expression 8y can be represented by the phrase 'eight times the variable y'. This type of question involves translating algebraic expressions into verbal phrases, which is important in understanding and communicating mathematical concepts clearly. The expression consists of a constant multiplier, 8, and a variable, y, indicating that y is to be multiplied by 8.
which set of numbers is arranged in order from least to greatest?
a. 0.35, 1/5,2/3,-0.7
b. -0.7, 0.35, 1/5, 2/3
c. -0.7, 1/5, 0.35, 2/3
d. 1/5, 0.35, 2/3, -0.7
Answers
________________________________________
Explanation:
_________________________________________
Note that in this correct Answer choice "C" given, we have the following arrangement of numbers:
_____________________________________________________
→ -0.7, ⅕, 0.35, ⅔ ;
______________________________________
We are asked to find the "Answer choice" (or, perhaps, "Answer choices?") given that show a set of numbers arranged in order from "least to greatest"; that is, starting with a value that is the smallest number in the arrangement, and sequentially progressing, in order from least to greatest, with the largest (greatest) number in the arrangement appearing as the last number in the arrangement.
______________________
Note the EACH of the 4 (four) answer choices given consists of an arrangement with ONLY one negative number, "- 0.7". Only TWO of the answer choices—Choices "B" and "C"—have an arrangement beginning with the number, "-0.7 "; So we can "rule out" the "Answer choices: [A] and [D]".
________________________
Let us examine: Answer choice: [B]: -0.7, 0.35, ⅕, ⅔ ;
_________________________
Note: The fraction, "⅕" = "2/10"; or, write as: 0.2 .
________________________________________
The fraction, "⅔" = 0.6666667 (that is 0.6666... repeating; so we often see a "final decimal point" rounded to "7" at some point.
___________________________________________
Through experience, one will be able to automatically look at these 2 (two) fractions and immediately know their "decimal equivalents".
____________________________________________
Otherwise, one can determine the "decimal form" of these values on a calculator by division:
_________________________
→ ⅕ = 1/5 = 1 ÷ 5 = 0.2
_________________________
→ ⅔ = 2/3 = 2 ÷ 3 = 0.6666666666666667
___________________________________
For Answer choice: [B], we have:
______________________________
→ -0.7, 0.35, ⅕, ⅔ ;
_________________________
→ So, we can "rewrite" the arrangement of "Answer choice [B]" as:
___________________________________________
→ -0.7, 0.35, 0.2, 0.666666667 ;
________________________________
→ And we can see that "Answer choice: [B]" is INCORRECT; because
"0.2" (that is, "⅕"), is LESS THAN "0.35". So, "0.35" should not come BEFORE "⅕" in the arrangement that applies correctly to the problem.
_______________________________________
Let us examine: Answer choice: [C]: -0.7, ⅕, 0.35, 0.666666667 .
____________________________________________
→ Remember from our previous— and aforementioned—examination of "Answer Choice: [B]" ; that:
____________________________
→ ⅕ = 0.2 ; and:
→ ⅔ = 0.666666667
_______________________
So, given:
____________
→ Answer choice: [C]: -0.7, ⅕, 0.35, ⅔ ;
______________________
→ We can "rewrite" this given "arrangement", substituting our known "decimal values for the fractions:
______________________________
→ Answer choice: [C]: -0.7, 0.2, 0.35, 0.666666667 ;
_________________________________________
→ As mentioned above, this sequence starts with "-0.7", which is the ONLY negative number in the sequence; as such, the next positive number is correct. Nonetheless, "0.2" (or, "(⅕") is the next number in the sequence, and is greater than "-0.7". The next number is "0.35. "0.35" is greater than "⅕" (or, "0.2"). Then next number is "(⅔)" (or, "0.666666667").
"(⅔)"; (or, "0.666666667") is greater than 0.35.
____________________________
This set of numbers: "-0.7, ⅕, 0.35, ⅔" ; is arranged in order from least to greatest; which is "Answer choice: [C]: -0.7, ⅕, 0.35, ⅔" ; the correct answer.
________________________________________________________