Answer:
n = 89
Step-by-step explanation:
Ok so,
n + (n+8) + 2n =364
n+n+8+2n = 364
4n + 8 = 364
4n = 356
n = 89
I checked it...its right
if you have any questions please ask me
hope this helps. have a good day :)!!
How do you find the base value?
The base value of a numeral system can be founded by counting the number of unique digits or symbols used in the system.
FIND THE BASE VALUEThe base value of a numeral system can be determined by counting the number of unique digits or symbols used in the system. For example, in the base 10 numeral system, which is commonly used in everyday life, the base value is 10 because it uses the digits 0 through 9. In the base 2 numeral system, which is also known as binary, the base value is 2 because it only uses the digits 0 and 1.
Another way to find the base value is to look at the exponent of the highest power of the base in the numeral system. For example, in the number 42 in base 10, the highest power of 10 is 10¹, which is 10. Therefore, the base value is 10. Similarly, in the number 1010 in binary, the highest power of 2 is 2³, which is 8. Therefore, the base value is 2.
It's important to note that when working with different numeral systems, it is essential to know the base value in order to understand the value of the number being represented.
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What is the value of the expression?
5 3/5 + 7 1/0 − 2 2/3
Enter your answer as a mixed number in simplest form by filling in the boxes.
The value of the given expression, 5 3/5 + 7 1/10 - 2 2/3, is 10 1/3
Simplifying an expressionFrom the question, we are to simplify the given expression.
The given expression is
5 3/5 + 7 1/10 - 2 2/3
To solve the given expression, we would convert each of the fractions to an improper fraction
Convert the fractions to improper fractions
28/5 + 71/10 - 8/3
Find the LCM of the denominators
LCM of the denominators = 30
Thus,
(168 + 213 - 80) / 30
301/30
10 1/3
Hence, the simplified form of the expression 10 1/3
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Determine the finance charge on a $6,500 loan with an interest rate of 9.5% compounded monthly over 36 months. a. $27.65 b. $208.21 c. $995.56 d. $7,495.56 please select the best answer from the choices provided a b c d
The finance charge on a $6,500 loan with an interest rate of 9.5% compounded monthly over 36 months is $208.21.
The finance charge on a $6,500 loan with an interest rate of 9.5% compounded monthly over 36 months can be calculated using the formula:
Finance Charge = Principal Amount * Interest Rate * Number of Months
Finance Charge = $6,500 * 9.5% * 36
Finance Charge = $208.21
Therefore, the finance charge on a $6,500 loan with an interest rate of 9.5% compounded monthly over 36 months is $208.21.
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I put 100 points into this question.
If m∠X=34° and m∠Z=26° , what is m∠Y ?
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
A. m∠Y=26°
B. m∠Y=34°
C. m∠Y=60°
D. m∠Y=120°
Answer:
m<y=120
Step-by-step explanation:
m<x=34, m<z=26, = 60.
180-60=120.
angle 3 = 120.
Answer:
D. m<y=120
Step-by-step explanation:
have a good day!
A trapezoid was broken into two congruent triangles and a rectangle. What is the base length, b, of one of the triangles? 3 cm 4 cm 6 cm 7 cm.
One of the triangles' base length, b, is 3 cm. Thus, the correct answer is A.
Two congruent triangles and a rectangle were formed from the trapezoid. The two triangles are 12 cm in height. The rectangle is 12 cm in height, 14 cm in width and the base side is 20 cm. It's worth noting that a congruent triangle has the same three sides and three angles.
The triangle's base length may be calculated as follows:
Triangle area : 1/2 × base × heightThe sides of the triangle may be calculated using the area of the trapezoid:
Trapezoid area : 1/2 × (a + b)hWhere:
a : the top sideb : base sideh : heightHence:
Trapezoid area : 1/2 × (a + b)hTrapezoid area : 1/2 × (14 + 20)12Trapezoid area : 1/2 × 34 × 12Trapezoid area : 34 × 6Trapezoid area : 204 cm²We know that the height of the triangles is 12 cm and the area of the trapezoid is 204 cm². The area of the rectangle is also given as 14 cm x 12 cm = 168 cm². This information may be used to construct the equation:
204 = 2(1/2bh) + (14 x 12)Solving for b, we get:
204 = 12b + 16812b = 36b = 36/12 b = 3 cmTherefore, the base length of the triangle is 3 cm, and the correct answer is A.
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Answer:
A
Step-by-step explanation:
a
Write an equation that represents the line.
Use exact numbers.
If A(0, 3) and B(2,6) be the two points then the equation of the line is y = 1.5x + 3.
What is meant by equation of line?A line is a straight, thickness-free, one-dimensional object in geometry that extends indefinitely in both directions.
An object that extends without end in both directions is referred to as a line. Arrowheads are typically used to depict it to demonstrate how it never ends. A line segment is an area within a line that has two end points. Half of a line with one end point makes up a ray. Angle is formed by two rays that have the same terminal point.
Let A(0, 3) this point is the y-intercept of the line B(2,6)
The equation of the line into slope intercept form is equal to y = mx + b
where, m is the slope
b is the y-coordinate of the y-intercept = 3
Find the slope of the line m
The formula to calculate the slope between two points is equal to [tex]$m=\frac{y_ 2-y_ 1}{x _2-x _1}$[/tex]
substitute the values
m = (6 - 3)/(2 - 0)
simplifying the equation, we get
m = 3/2
m = 1.5
The equation of the line is y = 1.5x + 3.
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Pls help me out with this!
Answer:
s+7
Step-by-step explanation:
2. Which expression is equal to: (az) + (a. e)
2a z e
a 2.e
a(z+e)
a(z.e)
Answer:
a(z+e)
Step-by-step explanation:
(a•z) + (a•e) can be rewritten as:
az + ae
as we can see from the newly created expression, a is the common multiple and we need to add a and z up.
So the answer is
a(z+e)
Mr. Ko buys water bottles for a class trip. He needs 20 water bottles, and he buys them in packs of 8. If Mr. Ko buys 2 packs, how many water bottles will he get? Number of packs Number of water bottles 1 8 2
Answer:
He will get 16 bottles if he buys 2 packs and he will need 4 more to get 20.
Step-by-step explanation:
He buys 2 packs of 8 2x8=16 if he wants all 20 he will need to get 3 packs 3x8=24. 20-16=4 he will need 2.5 packs to get the amount he wants. 2.5x8=20
please help done by 1200 tonight hurry
The solutions to both sets of simultaneous equations by graphical method are; No solution
How to graph simultaneous equations?There are three main ways to solve simultaneous linear equations and they are;
1) Elimination method
2) Substitution method
3) Graphical Method
In this question, we are using the graphical method where the solution will be the coordinate of the point of intersection.
1) The 2 simultaneous linear equations are;
y = ¹/₂x + 1
-2x + 4y = 4
The graph of these 2 equations is as attached.
From the first graph attached, we see that both lines overlap each other and as such don't have any point of intersection which tells us there is no solution to the simultaneous linear equations
2) The 2 simultaneous linear equations are;
y = -x - 3
y + x = 2
The graph of these 2 equations is as attached.
From the second graph attached, we see that both lines don't intersect each other and as such don't have any point of intersection which tells us there is no solution to the simultaneous linear equations
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What is the solution to the following system of equations y X² 10x 11 y X² x 7?
The solution to the equation is x = -2.
A system of linear equations can be solved graphically, by substitution, elimination, and by the use of matrices.
The system of equations is given as:
y = x² + 10x + 11
y = x² + x − 7
Equate both equations and we get,
⇒ x² + 10x + 11 = x² + x - 7
Subtract x² from both sides
⇒ 10x + 11 = x - 7
Collect like terms
⇒ 10x - x = -11 - 7
Evaluate the difference and we get
⇒ 9x = -18
Divide both sides by 9
∴x = -2
Hence, the solution to the equation is x = -2.
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Four more than the quotient of a number and 6 equals 8
When a number is four greater than its quotient and 6 plus 8 is 18, the number is 18.
what is expression ?You can multiply, divide, add, or take something away in mathematics. An expression is put together as follows: Expression, numeric value, and math operator A mathematical expression is composed of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Contrasting phrases and expressions is possible. An algebraic expression is any mathematical statement that has variables, numbers, and an arithmetic operation. As an illustration, the phrase 4m + 5 consists of the terms 4m and 5, as well as the given equation's variable m, all of which are separated by the arithmetic sign +.
given
A number's n/6 quotient and six (n/6) + 5 five greater than the quotient
(n/6) + 5 = 8
(n/6) + 3 (n/6)
= 18
When a number is four greater than its quotient and 6 plus 8 is 18, the number is 18.
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How do the graphs of f(x)=2x+1, and g(x)=2(x+3) + 1 compare?
A. The graph of g is the graph of f translated 3 units left.
B. The graph of g is the graph of f translated 3 u it’s up
C. The graph of g is the graph of f translated 3 units right
D. The graph of g is the graph of f translated 3 units down
(the answer is A I just need an explanation to why in order to show my work)
Based on the graphs of the functions f(x) = 2x + 1, and g(x) = 2(x + 3) + 1, a statement which correctly compares the graphs include the following: A. The graph of g is the graph of f translated 3 units left.
What is a translation?In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function.
On the other hand, a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.
Mathematically, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.Translating the graph of function f, we have:
g(x) = f(x + N)
g(x) = 2(x + 3) + 1
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Evaluate.
12/3+3/4÷(−1/3)−1/2
The fraction is evaluated to give -114/10
What is a fraction?A fraction can be defined as the part of a whole variable, number or element.
There are some number of types of fractions, they include;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsFrom the information, we have that;
12/3+3/4÷(−1/3)−1/2
These are a mixed of proper fractions and improper fractions
Now, expand the bracket, we have
12/3 + 3/4 ÷ -1/3 -1/2
Find the lowest common multiple
48 + 9 /12 ÷ -2 - 3 /6
Add or subtract the values
57/12 ÷ -5/6
Multiply by taking the inverse
57/12 × 6/-5
114/-10
Hence, the value is 114/-10
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What is the end behavior of the graph of f x x5 8x4 16x3 brainly?
The end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 is that it increases without bound as x approaches positive and negative infinity.
The end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 can be determined by examining the degree and leading coefficient of the polynomial. The degree of the polynomial is 5, which indicates that the graph increases without bound as x approaches positive and negative infinity. The leading coefficient of the polynomial is 1, which indicates that the graph increases as x approaches positive and negative infinity.
To illustrate this, let's consider the value of f(x) for increasingly large values of x. For x = 10, f(x) = 10^5 + 8(10^4) + 16(10^3) = 1,000,000 + 80,000 + 160,000 = 1,240,000. As x continues to increase, the value of f(x) continues to increase without bound as the terms of the polynomial become increasingly larger.
Similarly, for x = -10, f(x) = (-10)^5 + 8((-10)^4) + 16((-10)^3) = -1,000,000 + 80,000 - 160,000 = -980,000. As x continues to decrease, the value of f(x) continues to decrease without bound as the terms of the polynomial become increasingly larger.
Thus, the end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 is that it increases without bound as x approaches positive and negative infinity.
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Mrs. Pepin set up chairs for a class play. She had 24 chairs.
First she set up the chairs in eight rows. Then, she tried setting them up in three rows.
Choose two equations that show the two ways Mrs. Pepin arranged the 24 chairs.
Answers:
8×3=248
3×6=183
6×4=246
8×2=168
3×8=24
Answer:
8 × 3 = 24
3 × 8 = 24
Step-by-step explanation:
if she should arrange the chairs in 8 rows that will mean she set 3 chairs per row.
if she then changed the arrangement by arranging the chairs in 3 rows that means she set 8 chairs per row.
in the first paragraph that I wrote, here is how I got it.
24÷8 = 3
8 × 3 = 24
in the second paragraph I wrote, here is how I got it.
24 ÷ 3 = 8
3 × 8 = 24
Therefore your answer will be.
8 × 3 = 24
3 × 8 = 24
a=12b+3 and a=-2b-4 using the equal values method
Answer:
12b+3=-2b-4
14b=-7
b=-1/2
Confirm?
-2(-1/2)-4 =-3
12(-1/2)+3=-3
Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305. Which equation can you use to find f, the cost of each favor? How much did each favor cost? $
The cost of each of the favors is of $5 and the required equation is 8f+265 = 305
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305.
The addition of 8 favors increase the cost of the party by $40
The equation that can be used to find the number of favors =
8f+265 = 305
Solving for f,
8f = 40
f = 5
Hence, the cost of each of the favors is of $5.
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Use a trigonometric ratio to solve for c. Round to two decimal places as necessary!!
HELP, and can someone explain how to get the answer?
Answer:
c=9.20
Step-by-step explanation:
SOH CAH TOA
Use cos because it deals with the adjacent angle and the hypotenuse, which is all that we have here.
cos (61 degrees) = c/19
plug in cos(61) degrees into your calculator to get .484
.484 = c/19
Multiply both sides by 19 to isolate c by itself.
9.20 = c
How do you find the domain and range of a function in Class 11?
a straight line perpendicular to the y-axis, which means that the range is a set of one value {y|y =4}
What is the domain and range?
Domain and Range. The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The domain of x=4 is (−∞,∞) and range is {y|y=4} .
(−∞,∞)
{x|x ∈ R}
y=4
is a straight line perpendicular to the y-axis, which means that the range is a set of one value {y|y =4}
Set-Builder Notation:{y|y =4}.
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At Bobby's Laundromat, the circular opening of a washing machine has a radius of 1 foot. What is the opening's diameter?
the formula for a circular diameter is 2r ( 2 times radius)
so 2*1=2
Dan build furniture. The table how hi minimum production time. Dan build children' table on Tueday. He work 10 hour. Write an olve an inequality to determine how many children' table Dan can build that day
The inequality to determine the number of children's table build by Dan on Tuesday is given by x ≤ 5.
As given in the question,
Let us consider 'x' represents the number of children's table build by Dan.
Minimum production times in hour to build the children table is 2 hours.
Children table build by Dan is on Tuesday
Total number of hours Dan works on Tuesday = 10 hours
The required inequality to represent the given condition is :
2x ≤ 10
⇒ x ≤ 10 /2
⇒ x ≤ 5
Therefore, the required inequality to represents the number of children table build by Dan on Tuesday is equal to x ≤ 5 .
Dan builds furniture. The table shows his minimum production times.
Furniture Minimum Production Times (hour)
Child’s table 2
Bench 1
Dining table 4
China cabinet 7
Dan builds children’s tables on Tuesday. He works 10 hours. Write and solve an inequality to determine how many children’s tables Dan can build that day.
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Aaron's car gets an average of 15 miles to the gallon in the city, and he pays an average of $1.09 per gallon of gas. He drives 10.5 miles round-trip 22 days a month for work. Aaron pays $79 per month to park his car in an underground garage. If you include his monthly gasoline cost, what is his average daily cost (22 days per month) of driving his car to work?
The average daily cost of Aaron of driving his car to work is $5.1169.
What is Average Cost?Average cost is calculated by dividing the total cost by the total output quantity.
Miles for a round trip for 1 day = 10.5 miles
Since it is round trip, total miles for 1 day = 10.5 × 2 = 21 miles
Miles for a round trip for 22 days = 21 × 22 = 462 miles
Gallons for 15 miles = 1 gallon
Gallons for 1 mile = 1/15 gallons
Gallons for 462 miles = 30.8 gallons
Cost per gallon = $1.09
Cost for 30.8 gallons = 30.8 × 1.09 = $33.572
Payment for car parking = $79
Total cost per month = $33.572 + $79 = $112.572
Average daily cost = $112.572 / 22 = $5.1169
Hence the average cost per day is $5.1169.
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3+4(r-6)=3(2+2r)+7r what’s the answer show work pleaseee
Answer:
-27+17r
Step-by-step explanation:
[tex]3 + 4(r - 6) = 3(2 + 2r) + 7r \\ 3 + 4r - 24 = 6 + 6r + 7r \\ 3 - 6 - 24 + 4r + 6r + 7r \\ - 27 + 17r[/tex]
What is the formula of the slope when given two coordinates of two points?
The formula for the slope (also known as the "rise over run" or "gradient") of a line when given the coordinates of two points is:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two points, and m is the slope of the line.
Note that the coordinates must be in a Cartesian coordinate system, and the points must be distinct, otherwise, the denominator (x2 - x1) will be zero and the division by zero is not defined.
For example, if you have two points (2, 4) and (6, 8), you can use the slope formula to find the slope of the line:
m = (8-4) / (6-2) = 4/4 = 1
The slope of the line is 1
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↑
You buy 60 of your favorite songs from a Web site that charges $0.97 for each song. What is the cost of 60 songs? Use mental math.
is
The total cost of 60 songs
(Simplify your answer.)
an example
Get more help.
31
4
Clear all
When 60 of your favorite songs are purchased from a website for $0.97 apiece, the total cost comes to $58.80.
what is unitary method ?The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)
given
This straightforward real-world issue can be resolved by by multiplying the number of tracks by the $0.98 per song price.
60 x 0.98 = $ 58.80
When 60 of your favorite songs are purchased from a website for $0.97 apiece, the total cost comes to $58.80.
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Which of the following is not the solution of the equation 2x 3y=6a) (-3,4) b) (3,-4) c) (0,2) d) (3,0)
The pair in the solution of the equation -2x + 3y = 6 is (0,2).
Solution of equationThe set of all values that, when substituted for unknowns, make an equation true is known as the solution.
Solution of linear equation in two variablesA specific location on the graph is the solution of a linear equation in two variables, where ax+by = c, meaning that when the x-coordinate is multiplied by a and the y-coordinate is multiplied by b, the sum of these two values equals c. There are essentially an endless number of solutions to a linear equation with two variables.
Now in the question,
To find the pair of solutions of the equation -2x + 3y = 6, we satisfy all the pairs one by one in the given equation
1. Putting the value of (x, y) as (-3,4) in the equation we get-
-2*-3 +3*4 = 6 ⇒ 18 = 6
Therefore LHS ≠ RHS
Hence it is not the solution to the equation.
2. Putting the value of (x, y) as (3,-4) in the equation we get-
-2*3 + 3*-4 = 6 ⇒ -18 = 6
Therefore LHS ≠ RHS
Hence it is not the solution to the equation.
3. Putting the value of (x, y) as (0,2) in the equation we get-
-2*0 + 3*2 = 6 ⇒ 6 = 6
Therefore LHS = RHS
Hence it is the solution to the equation.
4. Putting the value of (x, y) as (3,0) in the equation we get-
-2*3 + 3*0 = 6 ⇒ -6 =6
Therefore LHS ≠ RHS
Hence it is not the solution to the equation.
Thus (0,2) is the solution of the equation.
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Is X² and 2x like terms?
Answer: No, x^2 and 2x are not like terms. Like terms are terms that have the same variable raised to the same exponent. In this case, x^2 and 2x have the same variable, but they are raised to different exponents, so they are not like terms.
Terms can be added or subtracted together, but terms that are not like terms cannot be combined.
For example:
5x^2 and 2x^2 are like terms, so they can be added together (5x^2 + 2x^2 = 7x^2)
5x and 2x are like terms, so they can be added together (5x + 2x = 7x)
On the other hand:
5x^2 and 2x are not like terms, so they cannot be added together.
Step-by-step explanation:
17. State the postulate or theorem that can be used to prove the triangles
congruent. If you cannot prove the triangles congruent, write not enough
information.
(6 points)
Tip: These are the list of theorems and postulates to choose from: AAS,
ASA, SAS, SSS and HL. Also, not enough information (NEI) is an option.
Giving 20 points
Two triangles are congruent if and only if they have the same shape and size.
What is triangle ?
A triangle in which it is having three sides , three angles and the sum of three angles is always 180 degrees.
So, there are several ways to find out if two triangles are congruent, so we will study the triangles above to find the answers:
Case a. (AAS - Angle, Angle, Side)
AAS stands for "angle, angle, side" and means that we have two triangles where we know two angles and the non-included side are equal. So, for the figure above it is true that:
∠B = ∠E
∠A = ∠D
Case b. We don't have any information about this case that allows us to get a conclusion about congruence. Recall that for congruent triangles you need to compare three elements two by two.
Case c. (SSS - Side, Side, Side)
SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. So, for the figure:
Case d. We only have two equal elements, but it is necessary to have three elements for comparing them doing the comparison two by two. There is not enough information for getting a conclusion.
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Use a trigonometric ratio to solve for a. Round to two decimal places as necessary!!
HELP, and can someone explain how to get the answer?