Solve 13/12+4/12 and show on number line
Answers
The Solution:
We are asked to evaluate:
\(\frac{13}{12}+\frac{4}{12}\)There is a common denominator of 12, so, we have
\(\frac{13+4}{12}=\frac{17}{12}=1\frac{5}{12}\)Showing the solution on a number line, we get:
Therefore, the correct answer is
\(\frac{17}{12}=1\frac{5}{12}\)
Related Questions
What is the inverse of the function g(x) = x^3/8 + 16 ?
Answers
Answer:
\( \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ \)
• let f(x) be m:
\({ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ \)
• make x the subject of the function:
\({ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}\)
• therefore:
\({ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ \)
Hannah's suitcase has the following dimensions.
length: 27 inches
width: 21 inches
depth: 14 inches
What is the volume of Hannah's suitcase in cubic inches?
Answers
Answer:7938 inches square
Step-by-step explanation:
multiply everything
Answer:
7938
Step-by-step explanation:
What is the simplest form of each espression
Answers
Answer:
Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. The process entails collecting like terms, which implies adding or subtracting terms in an expression.
Write an equation to find x
Answers
Answer:
180 - 105 = x-2
hope this helped and brainliest please
Of all rectangles with a perimeter of 29, which one has the maximum area? (Give the dimensions.) Let A be the area of the rectangle. What is the objective function in terms of the width of the rectangle, w? Aequals 14.5 w minus w squared (Type an expression.) The interval of interest of the objective function is nothing. (Type your answer in interval notation. Use integers or simplified fractions for any numbers in the expression.) The rectangle that has the maximum area has length nothing and width nothing. (Simplify your answer.)
Answers
Answer:
For maximum area: Its a square of dimensions 7.25 * 7.25.
Step-by-step explanation:
We can use calculus to solve this:
Let the length of the rectangle be L and the width be W then we have
2L + 2W = 29
L + W = 14.5
W = 14.5 - L
Area = WL
A = L(14.5 - L)
A = 14.5L - L^2
We need this to be a maximum.
Finding the derivative:
dA/dW = 14.5 - 2L = 0 for a maximum
2L = 14.5
L = 7.25
Also W = 14.5 - L
= 14.5 - 7.25 = 7.25.
So the dimensions for maximum area are 7.25 * 7.25.
The figure is a SQUARE.
The perimeter of a rectangle, is the sum of its side lengths.
The rectangle that has the maximum area when the length is 7.25 and the width is 7.25
The perimeter is given as:
\(\mathbf{P = 29}\)
Let the dimensions be l and w.
So, we have:
\(\mathbf{2( l + w) = 29}\)
Divide both sides by 2
\(\mathbf{l + w = 14.5}\)
Make l the subject
\(\mathbf{l = 14.5 - w}\)
The area of a rectangle is:
\(\mathbf{A = lw}\)
Substitute \(\mathbf{l = 14.5 - w}\)
\(\mathbf{A = (14.5 - w)w}\)
Open brackets
\(\mathbf{A = 14.5w - w^2}\)
Differentiate
\(\mathbf{A' = 14.5 - 2w}\)
Set to 0
\(\mathbf{14.5 - 2w = 0}\)
Collect like terms
\(\mathbf{2w = 14.5}\)
Divide both sides by 2
\(\mathbf{w = 7.25}\)
Recall that: \(\mathbf{l = 14.5 - w}\)
So, we have:
\(\mathbf{l = 14.5 - 7.25 = 7.25}\)
Hence, the rectangle that has the maximum area when the length is 7.25 and the width is 7.25
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A box contains 13 white cards numbered 1 through 13. List the elements in the sample space of the event choosing one card with a number greater than 6.(1 point) A. {6, 7, 8, 9, 10, 11, 12, 13}
B. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
C. {7, 8, 9, 10, 11, 12, 13, 14}
D. {7, 8, 9, 10, 11, 12, 13}
Answers
Question 2(Multiple Choice Worth 5 points)
(06.03 MC)
What are the solutions of the system of equations y = -(x + 2)² + 1 and y = 3x + 7?
O(-2, 1) and (5,-8)
O(-2, 1) and (-5, -8)
O (2, -3) and (-5, -8)
O(-2, -3) and (-5, -8)
Answers
Step by step solution
Image below
graph y+2=2(x+3). What is the x intercept?
x intercept :
Answers
The given equation is y + 2 = 2(x + 3) and the x-intercept is -2.
To find the x-intercept of the equation y + 2 = 2(x + 3), we need to set y equal to zero and solve for x. The x-intercept occurs when the value of y is zero, meaning the graph crosses the x-axis.
Let's substitute y with 0 in the equation:
0 + 2 = 2(x + 3)
Simplifying the equation:
2 = 2(x + 3)
Dividing both sides by 2:
1 = x + 3
Subtracting 3 from both sides:
-2 = x
The x-intercept is -2. This means that the graph of the equation y + 2 = 2(x + 3) crosses the x-axis at the point (-2, 0).
The x-intercept represents the value of x where the graph intersects or crosses the x-axis. In this case, it occurs when x is equal to -2, and the y-value is zero.
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PLEASE PPL ARE GETTING IT WRONG!!!
Answers
.59 per pound
Answer:
0.59
Step-by-step explanation:
the process is of unitary method
8.50+15.75x=7.50+15.75x
Answers
Answer:
No solution
Step-by-step explanation:
You will get zero
Please help me, I will give brainliest, I am struggling badly.
Answers
Answer:
im pretty sure it is b
Step-by-step explanation:
Matthew is saving money for a pet turtle the data in the table represents the total amount of money in dollars that he saved by the end of each week.
Answers
e) sp Rs. 110, propit percent =10%,cp
=?
Answers
Answer:
the answer of this question is rs99
Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415. How much interest did they pay due to financing?
Answers
The interest due on financing option is $307.50
What is interest on financing?
Interest on financing is the extra amount paid by the couple when their total payments are compared to the cash price of $6,230.
The total payments would be the 25% down payment plus the sum of the twelve monthly payments of $415 each
Down payment=cash price*25%
Down payment=$6230*25%
Down payment=$1,557.50
Total monthly payments=amount of each monthly payment*number of monthly payments
monthly payment=$415
number of monthly payments=12
Total monthly payments=$415*12
Total monthly payments=$4,980
Total payment under financing=Down payment +Total monthly payments
Total payment under financing=$1,557.50+$4,980
Total payment under financing=$6,537.50
Interest=$6,537.50-$6,230
Interest on financing=$307.50
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2. By substitution 2y + 2x =-4y + x =-5
Answers
We have to solve the following system by substitution:
\(\mleft\{\begin{aligned}2y+2x=-4 \\ y+x=-5\end{aligned}\mright.\)When we have to solve a system via substitution, we clear out one variable on one equation and we replace it onto the second equation. In this example, we will clear out the variable y on the second equation (but you can try it with x also), then:
\(\begin{gathered} y+x=-5 \\ y=-5-x \end{gathered}\)This answer will be substituted onto the first equation:
\(2(-5-x)+2x=-4\)And we clear the variable x. We use the distributive property and the rules of an equality, we sum to both sides of the equation a value as shown:
\(\begin{gathered} 2(-5-x)+2x=-4 \\ -10-2x+2x=-4 \\ -10+0=-4 \\ -10=-4 \end{gathered}\)This last equality is false. And as such, it means that the system above doesn't have solutions, the lines they represent are parallel and doesn't meet.
Note: We can also note that if you clear out the variable y, and treated as linear functions, the slope of both equations will be the same, which justifies why those two equations are parallel.
which model shows a sum of 0.5 and 0.32
Answers
Answer: A
Step-by-step explanation:
PLZ HELP WILL MARK BRAINLEST +10 POINTS
Answers
Answer:
It's C
The X and Y coordinates are both negative
Step-by-step explanation:
Quadrant 1- negative and positive
Quadrant 2- positive and positive
Quadrant 3- negative and negative
Quadrant 4-positive and negative
oint Q is plotted on the coordinate grid. Point P is at (40, −20). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q? (5 points) On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 10, negative 20. Group of answer choices Point R is at (−10, −10), a distance of 30 units from point Q Point R is at (−10, −30), a distance of 50 units from point Q Point R is at (−10, 30), a distance of 50 units from point Q Point R is at (−10, 10), a distance of 30 units from point Q
Answers
Answer:
The Awnser Is C
Step-by-step explanation:
Hope This Helps! Have A Great Day
Answer:
I think it Is C 6..??
Step-by-step explanation:
I could me wrong IM srry also srry for late respond
3) If A= x2 – 3x + 5 and B
2x2-3x+1 what is A - 2B?
Answers
Answer:
-3x² + 3x + 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
A = x² - 3x + 5
B = 2x² - 3x + 1
Step 2: Find A - 2B
Substitute: (x² - 3x + 5) - 2(2x² - 3x + 1)Distribute -2: x² - 3x + 5 - 4x² + 6x - 2Combine like terms (x²): -3x² - 3x + 6x + 5 - 2Combine like terms (x): -3x² + 3x + 5 - 2Combine like terms (Z): -3x² + 3x + 3A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?
Answers
Step-by-step explanation:
each department has 3 options for their representative.
and each of these options can be associated with the 3 options of the next department. and so on.
so, we have
3×3×3×3 = 3⁴ = 81
possibilities to firm that committee overall.
PLEASE HELP IF YOU CAN! :)
Adam has $44 in his pocket to shop with at the local supermarket. If he spent $8.25 on snacks, $15.67 on drinks and $11 on vegetables, how much money would he have?
Answers
Answer:
$9.08
Step-by-step explanation:
$8.25+$15.67+$11= $34.92
$44 - $34.92= $9.08
Answer:
$9.08
Step-by-step explanation:
44-8.25 = 35.75
35.75 - 15.67 = 20.08
20.08 - 11 = $9.08
Which degenerate conic is formed when a double cone is sliced at the apex by a plane parallel to the base of the cone?
Two lines
Point
Hyperbola
Ellipse
Answers
When the double cone is sliced at the apex by a plane parallel to the base of the cone, the resulting degenerate conic is a point.
What is degenerate conic?A degenerate conic is a conic that does not have the usual geometric properties of its non-degenerate counterpart.
It is formed by slicing a cone with a plane in a way that produces a special type of conic section.
This is because the plane cuts through both halves of the cone, resulting in the two halves becoming one point at the apex of the cone. The other degenerate conics that can be formed by slicing a double cone with a plane are:
If the plane intersects both halves of the cone, but does not pass through the apex, the resulting degenerate conic is a pair of intersecting lines.
If the plane intersects only one half of the cone, the resulting degenerate conic is a single line.
If the plane intersects both halves of the cone, passing through the apex, the resulting degenerate conic is a single line.
If the plane is parallel to one of the generating lines of the cone, the resulting degenerate conic is a parabola.
If the plane intersects both halves of the cone, but at an angle that is not parallel to the base or perpendicular to a generating line, the resulting degenerate conic is a hyperbola.
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With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
Answers
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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If Fx) = 7x, which of the following is the inverse of (Fx)?
A. F^1(x) = x/7
B. F^1(x) = 7x
C. F^1(x) = x-7
D. F^1(x) = x+7
Answers
Answer:
A. F^1(x) = x/7
Step-by-step explanation:
\(y = 7x \\ x = 7y \\ \frac{x}{7} = \frac{7y}{7} \)
\(y = \frac{x}{7} \)
Therefore the inverse is
\(f {}^{1} = \frac{x}{7} \)
Draw two cards from a standard 52-card deck with replacement. Find the probability of getting at least one black card.
Answers
Answer:
The value is \(P(s) = \frac{3}{4}\)
Step-by-step explanation:
From the question we are told that
The number of cards in a standard deck of cards is n = 52
The number of black card in a standard deck of cards b = 26
The number of non-block cards in a standard deck of cards k = 26
Generally the probability of getting a black card is
\(P(b) = \frac{26}{52}\)
=> \(P(b) = \frac{1}{2}\)
Generally the probability of getting a non- black card is
\(P(k) = \frac{26}{52}\)
=> \(P(k) = \frac{1}{2}\)
Generally the sample space of the outcome of drawing two card from the
standard deck of cards in such a way that at least one of the cards is a black card is
\(s = \{ bb , bk , kb \}\)
Generally the probability of obtaining at least on black card is mathematically represented as
\(P(s) = \frac{1}{2} * \frac{1}{2} + \frac{1}{2} * \frac{1}{2} + \frac{1}{2} * \frac{1}{2}\)
=> \(P(s) = \frac{1}{4} + \frac{1}{4} + \frac{1}{4}\)
=> \(P(s) = \frac{3}{4}\)
6y (2/3x + 6k - 1/2
A- 4xy + 6k - 1/2
B- 4x + 36k - 3
C- 4xy + 36ky - 3y
D- 4xy + 36ky + 3y
Answers
Answer:
C
Step-by-step explanation:
To solve this problem:
Distribute 6y (2/3x + 6k - 1/2)
What is 2/3x times 6y? Answer: +4xy
What is 6k times 6?y Answer: +36ky
What is -1/2 times 6y? Answer: -3y
Write the answers as an equation: \(4xy+36ky-3y\)
The answer is C
Hope this helps :)
Have a great day!
A bakery sold 27 mocha cupcakes in a day, which was 9% of the total number of
cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answers
Answer:
300 cupcakes
Step-by-step explanation:
\(27 = .09c\)
\(c = \frac{27}{.09} = \frac{2700}{9} = 300\)
In total, the bakery sold 300 cupcakes on a certain day.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A bakery sold 27 mocha cupcakes in a day, which was 9% of the total number of cupcakes sold that day.
let, 'x' be the total number of cupcakes sold that day.
Therefore, 9% of 'x' is 27 which is,
(9/100)×x = 27.
0.09x = 27.
x = 27/0.09.
x = 300.
So, The number of cupcakes sold that day is 300.
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ghvhhhhcycycugvuviggggggvvvggfgffgfggyg
Answers
Answer:
fortnite
Step-by-step explanation:
winwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwin
Answer:
Yes
Step-by-step explanation:
Yes
write the first 10 multiplies of 6 and 8 pairs of numbers and find this LCM
Answers
↪\( \huge\rm{answer: } \: \boxed{ \purple{24 }}\)
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
M(6)= {0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 ...}
M(8) = {0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80...}
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
\( \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}\)
Answer:
6=0,6,12,18,24,30,36,42,48,54,60
8=0,8,16,24,32,40,48,56,64,72,80
HCF=24,48
LCM=0,6,12,18,,30,36,42,48,54,60,8,16,24,32,40,,56,64,72,80
Three less than eight times a number is twentyfive
3 - 8n = 25
8n + 3 = 25
Option 1
Option 2
8n - 3 = 25
Answers
Answer:
8n - 3 = 25
Step-by-step explanation: