Suppose the average yearly salary of an individual whose final degree is a master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $113 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answers
In linear equation 109333.2 dollars is the average yearly salary of an individual with each of these final degrees .
What is a linear equation ?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.let x be the salary of individual with bachelor degree
Then the average salary of individual with Masters degree is:
(2x-40000)
the combined of two salaries is 130000:
x+(2x-40000)=130000
3x-40000=130000
3x=130000+40000
x=170000/3
x = 56,666.66
x= 56,666.6 dollars ( the average salary of bachelor degree)
the average salary of Masters degree = 2x - 40000
2(56666.6)-40000 = 109333.2 dollars
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Related Questions
What is the domain of the function above? I HATE GRAPHS pls help
tyyyy
Answers
Answer:
-1<x<4
BLUE
Step-by-step explanation:
You move right 1 unit and left 7 units. You end at (-5, -1). Where did you start?
Answers
Answer:
you started at (-5, 4)
Step-by-step explanation:
do what the instructions given said but in reverse. so move up 7 units and move back down 1 unit and you will find where you started.
find the slope of the line that gores through the given points (5,1) and (2/3, -5)
Answers
\((\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{\frac{2}{3}}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-5}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{\frac{2}{3}}-\underset{x_1}{5}}} \implies \cfrac{-6}{~~ -\frac{13 }{3 } ~~}\implies \cfrac{\frac{6}{1}}{~~ \frac{13}{3 } ~~}\implies \cfrac{6}{1}\cdot \cfrac{3}{13}\implies \cfrac{18}{13}\)
Find the inequality represented by the graph.
Answers
Answer:
\(\boxed{\bf{\underline{ y\le -\cfrac{3}{2}x-2}}}\)
Step-by-step explanation:
From the given graph,
\(\bf y-intercept :\boxed{\tt -2}\)
\(\bf Slope:\tt \cfrac{\Delta y}{\Delta x} =\cfrac{-3}{2} =\boxed{-\cfrac{3}{2} }\)
Notice that graph is shaded below (not above), so y is less than the other side of the inequality. the graph elso has a solid line (not dashed), so we are dealing with an "or equal to" inequality.
Therefore, we should use the less than or equal to symbol.
\(\boxed{\bf{ y\le -\cfrac{3}{2}x-2}}\)
_____________________
Hope this helps!
Have a great day!
HURRY HELP PLEASE! SERIOUS ANSWERS ONLY!
Living Space?
You have the opportunity to live in a 3 bedroom 3.5 bath on Miami Beach in a Luxury Condo or in Laurel Mississippi in a 5-bedroom 7 bath home. Money for either is not an issue. The only stipulation is that you and your present family situation will remain intact. Given your present situation, which would you choose and why? (Students will receive full credit for their completion of the project; steps 2 and 3)
1. Look up property and amenities
a. Condo on: unaresidencemiami.com/price-list
b. Home on: 2230 Ridgewood Dr, Laurel, MS 39440 (type in address)
2. Look up the community in which EACH is located
3. Solve for the intersection of the two properties (two variable systems of equations using the
cost and the Square Footage as the variables)
a. Condo: $2.2 million / 1946 sq feet
b. House : $.3 million / 4681 sq feet
4. Which would you choose and why?
Answers
Answer:
The Mississippi home
Step-by-step explanation:
I would get the Mississippi home because it has 5 bedrooms with 7 bathrooms, it would be a great home for a family and guest to go to. and it also depends on the condition of the home and the amount of people in you family.
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
Answers
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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45°-45°-90°
Find the missing sides of the triangle.
The number is 8
Answers
Answer:
4\(\sqrt{2}\)
Step-by-step explanation:
the ratio of the side lengths of a 45:45:90 triangle is 1:1:\(\sqrt{2}\).
It gives you the \(\sqrt{2}\) side as 8. divide 8 by sqrt2 to get \(\frac{8}{\sqrt{2}}\) or 4\(\sqrt{2}\)
Answer:
4 and 4
Step-by-step explanation:
The missing numbers are four and four since the ratio of the 3 numbers given were 2:1, you can divide 8 by 2 to get the triangle legs.
Use shifts and scalings to graph the given function. The
p(x)= x² + 2x - 6
What is the original function?
y =
(Type an expression. Simplify your answer.)
Answers
Answer:
x^2+2x
Step-by-step explanation:
This function was shifted down 6 units.
It does not seem like this function was shifted horizontally since the x value is not being subtracted nor added inside the parentheses. Therefore, the original function would just be p(x) + 6, which would give us x^2+2x.
Find the mean, median, mode 1. 40, 38,29,34,37, 22, 15, 38 2. 26, 32, 12, 18, 11, 14, 21, 12,27 3. 3,3,4,7,5,7,6,7,8,8,8. 9,8, 10, 12, 9, 15, 15
NEED THE ANSWER ASAP
NONSENSE, REPORT
i will (brainliest) if it's correct!!!
Answers
Mean: 34.125, Median: 31.5, Mode: 38
Mean: 19.222, Median: 18, No mode
Mean: 8.611, Median: 8, Mode: 8
Let's find the mean, median, and mode for each set of numbers:
Set: 40, 38, 29, 34, 37, 22, 15, 38
Mean: To find the mean, we sum up all the numbers and divide by the total count:
Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125
Median: To find the median, we arrange the numbers in ascending order and find the middle value:
Arranged set: 15, 22, 29, 34, 37, 38, 38, 40
Median = (29 + 34) / 2 = 63 / 2 = 31.5
Mode: The mode is the number(s) that appear(s) most frequently in the set:
Mode = 38 (appears twice)
Set: 26, 32, 12, 18, 11, 14, 21, 12, 27
Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222
Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32
Median = 18
Mode: No mode (all numbers appear only once)
Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15
Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611
Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15
Median = 8
Mode: Mode = 8 (appears 4 times)
Mean: 34.125, Median: 31.5, Mode: 38
Mean: 19.222, Median: 18, No mode
Mean: 8.611, Median: 8, Mode: 8
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Alan Jeff and Lucy all take their pets to the same vet. The pets are a dog a cat and a rabbit. The names of the pets are Blackie bandit and Moe. Read the clues to determine the kind of pet each owner has and the name of the pet. Mark the correct boxes on the grid to show your answers.
Answers
Answer:
i need at least a pick of the problom
Step-by-step explanation:
Answer:
huh?
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow find AE Round the Answer to the nearest tenth. A)9.7 B)13.5 C)16.1 D) 17.3
Answers
Recall the Law of Cosines:
If a triangle has sides with lengths A, B and C and the angle opposite to C has a measure θ, then:
\(C^2=A^2+B^2-2AB\cos \theta\)Since the side AE is opposed to the angle ABE in the triangle ABE, then:
\(AE^2=AB^2+BE^2-2AB\cdot BE\cdot\cos (m\angle ABE)\)Find the values of AB and the measure of the angle ABE, and substitute those values along with the measure of BE into this equation to find AE.
First, notice that the triangle ABC is a right triangle, whose hypotenuse is AB.
The angle ABC is given and has a measure of 31°. Then:
\(\begin{gathered} \sin (m\angle\text{ABE)}=\frac{AC}{AB} \\ \Rightarrow AB=\frac{AC}{\sin (m\angle ABE)} \\ \Rightarrow AB=\frac{6}{\sin (31)} \end{gathered}\)On the other hand, the angles ABC, ABE and EBD form an angle of 180°. Use this fact to find the measure of ABE:
\(\begin{gathered} m\angle ABE+m\angle CBA+m\angle EBD=180 \\ \Rightarrow m\angle ABE+31+13=180 \\ \Rightarrow m\angle ABE+44=180 \\ \Rightarrow m\angle ABE=180-44 \\ \Rightarrow m\angle ABE=136 \end{gathered}\)Substitute AB=6/sin(31), mABE=136° and BE=7 into the equation for AE:
\(\begin{gathered} \Rightarrow AE^2=(\frac{6}{\sin(31)})^2+7^2-2\cdot\frac{6}{\sin(31)}\cdot7\cdot\cos (136) \\ \Rightarrow AE^2=\frac{36}{\sin^2(31)}+49-\frac{84\cdot\cos (136)}{\sin (31)} \end{gathered}\)Use a calculator to find the value of AE^2:
\(\begin{gathered} \Rightarrow AE^2=302.0342\ldots \\ \Rightarrow AE=\sqrt[]{302.0342\ldots} \\ \Rightarrow AE=17.379\ldots \end{gathered}\)
A health club charges a one-time sign-up fee and a monthly membership fee. The
equation y = 28x + 50 represents what the health club charges. Find the rate of
change.
Answers
Answer:
The rate of change is 28.
Step-by-step explanation:
The equation is in slope-intercept form, y = mx + b, where m is the slope, and b is the y-intercept.
D.
A
B.
A sidewalk in the shape of two triangles, a rectangle, and a square
was built around the edge of a building as shown.
108 ft²
T
6 ft
162 ft²
144 ft²
180 ft²
11
6 ft
What is the area of the sidewalk in square feet?
11
18 ft
30 ft
Answers
The area of the sidewalk is 388 square feet.
How to find the area of the sidewalkTo find the area of the sidewalk you can find the area of each individual shape and add them together.
Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.
Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.
Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.
Area of the square = 11 ft x 11 ft = 121 sq. ft.
Therefore, the total area of the sidewalk is:
33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.
So, the area of the sidewalk is 388 square feet.
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Which expression is equivalent to one over three p + 15?
one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)
Answers
Answer:
1/3p + 5
Step-by-step explanation:
1/3 of 15 is 5
If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5
Answer:
a) 1/3 (p+45)
Step-by-step explanation:
that's the answer
Use the discriminant to determine the number of real roots for the equation 5x2 −19x − 4 = 0.
discrminant :
number of real roots:
Answers
Step-by-step explanation:
5x² - 19x - 4
use the discriminant formula
D = b² - 4ac
label the coefficients
5 = a -19 = b -4 = c
D = -19² - 4(5)(-4)
D = -281
since the discriminant is negative this eqaution ahs no real solutions
A "roll" of nickels contains 40 nickels. How much money is a "roll" worth? A 5¢ B. 20¢ c. $1.00 D. $2.00 E. $4.00
Answers
Answer:
D
Step-by-step explanation:
a nickel = 5 and 5 x 40 = 200 so it would be 2.00
Nickel = 5 cents
One roll = $2.00
Find the volume of a right circular cone that has a height of 3.5 ft and a base with a diameter of 11.9 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Step-by-step explanation:
To find the volume of a right circular cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Where:
π is a mathematical constant approximately equal to 3.14159
r is the radius of the cone's base
h is the height of the cone
Given that the diameter of the base is 11.9 ft, we can find the radius by dividing the diameter by 2:
Radius (r) = 11.9 ft / 2 = 5.95 ft
Using the given height of 3.5 ft, we can substitute these values into the volume formula:
Volume = (1/3) * 3.14159 * (5.95 ft)^2 * 3.5 ft
Volume ≈ 62.273 ft^3
Rounded to the nearest tenth, the volume of the right circular cone is approximately 62.3 cubic feet.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/IEnaK9Mnw3ftGn7VoWymvKjzqCukNTp6.png)
Answers
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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What is the domain of f(x)=(1/2)^x
Answers
Answer:
all real numbers
Algebra Examples
The domain of the expression is all real numbers except where the expression is undefined
Hello!
The domain of an exponential function is the crowd of all real numbers, so: x ∈ ℝ.
Good luck! :)
PLEASE HELP ASAP
IT AN EMERGENCY
Answers
Complete the table . On the coordinate plane below , plot the points represented by the pairs of coordinates from table . 3x - y = 1
Answers
EXPLANATION
Given the table, we can see that the appropiate points are:
x y
-2 -2
-1 -1
0 0
1 1
2 2
Now, we can plot this on the coordinate plane as shown as follows:
8 1/3 + 16 1/5 + 1/3 =?
Answers
Answer:
24 8/15
Step-by-step explanation:
8 1/3 + 16 1/5 + 1/3 =?
8 1/3 + 1/3 + 16 1/5 = ?
8 1/3+ 16 1/5 =?
8 5/15 +16 3/15= 24 8/15
Answer 24 8/15
Trapezoid QRST is graphed below. If the trapezoid is rotated 270 clockwise about the origin, what will be the coordinates of R’ ? A. (4,1) B. (1,4) C. (-1,-4) D. (-4,-1)
Answers
Answer
The trapezoid QRST is rotated 270 clockwise about the origin
The origin is (0,0)
So then,
6(3x+4)+2(2x+2)+2=22x+31 solve the equation for the given variable
Answers
The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.
What is the solutuon to the given equation?Given the equation in the question:
6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31
To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.
Apply distributive property:
6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31
18x + 24 + 4x + 4 + 2 = 22x + 31
Collect and combine like terms on both sides:
22x + 30 = 22x + 31
Next, we want to isolate the variable x on one side.
22x - 22x + 30 = 22x - 22x + 31
30 = 31
However, we notice that the x terms cancel out when subtracted:
30 ≠ 31
This means that there is no solution.
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Are the two lines parallel, perpendicular,
or neither?
y = 3x -4 and 3x +9y = 18
Answers
Prerequisites :-
1) The product of slope of two perpendicular lines is-1 .
2) The slope of two parallel lines is same .
Given two lines to us are ,
\( y = 3x - 4 \)This line is in slope intercept form which is \( y = mx + c \) . Comparing to which we get ,
\( m_1 = 3 \)Again , the second line given to us is ,
\( 3x + 9y = 18 \)Convert it into slope intercept form , we have ,
\(\implies 3( x + 3y ) = 18 \)
Divide both sides by 3 ,
\(\implies x + 3y = 6 \)
Solve for y ,
\(\implies y = \dfrac{-x}{3} + 2 \)
On comparing to the slope intercept form ,
\( m_2 = \dfrac{-1}{3}\)And the product both the slopes is ,
\(\implies m_1 \times m_2 = \dfrac{-1}{3}\times 3 =\boxed{\red{-1}}\)
Hence the given two lines are perpendicular .
If a polynomial function, f(x), with rational coefficients has roots 0, 4, and 3 + StartRoot 11 EndRoot, what must also be a root of f(x)?
Answers
The fourth root of the polynomial function is -1 - StartRoot 11 EndRoot.
We know that the roots of a polynomial equation are the values of x for which the function f(x) equals zero.
Therefore, if a polynomial function with rational coefficients has roots 0, 4, and 3 + StartRoot 11 EndRoot, then it can be written as (x - 0)(x - 4)(x - (3 + StartRoot 11 EndRoot))(x - a), where a is the fourth root we are looking for.
To find a, we can expand the equation and equate the coefficients of x^3. We get:
(x - 0)(x - 4)(x - (3 + StartRoot 11 EndRoot))(x - a) = Ax^4 + Bx^3 + Cx^2 + Dx + E
Expanding the left-hand side and equating the coefficients of x^3, we get:
(-7 - 3 StartRoot 11 EndRoot - a) + (4 + 3 StartRoot 11 EndRoot + a) + (3a) = B
Simplifying and solving for a, we get:
a = -1 - StartRoot 11 EndRoot
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Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning
Answers
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:
Step 1: Calculate the monthly interest rate.
The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):
Monthly interest rate = 9.5% / 12 = 0.0079167
Step 2: Determine the monthly payment.
The monthly payment is given as $400.
Step 3: Calculate the interest and principal paid each month.
The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.
Principal paid = Monthly payment - Interest paid
Step 4: Track the remaining balance each month.
Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.
Step 5: Repeat Steps 3 and 4 until the balance reaches zero.
Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.
Step 6: Determine the total number of months and the total amount paid.
Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.
Let's calculate the number of months and the total amount paid, including interest:
Month 1:
Interest paid = 0.0079167 * $1,367.90 = $10.84
Principal paid = $400 - $10.84 = $389.16
New balance = $1,367.90 - $389.16 = $978.74
Month 2:
Interest paid = 0.0079167 * $978.74 = $7.75
Principal paid = $400 - $7.75 = $392.25
New balance = $978.74 - $392.25 = $586.49
Month 3:
Interest paid = 0.0079167 * $586.49 = $4.64
Principal paid = $400 - $4.64 = $395.36
New balance = $586.49 - $395.36 = $191.13
Month 4:
Interest paid = 0.0079167 * $191.13 = $1.51
Principal paid = $400 - $1.51 = $398.49
New balance = $191.13 - $398.49 = -$207.36 (Paid off)
It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:
Total amount paid = 4 * $400 = $1600
Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
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Look at these numbers.
120, 2²,53
In which set are the numbers ordered from greatest to least?
A. 120,2²,53
B. 2, 120,53
C. 2?,53, 120
D. 53,27, 120
Answers
Answer:
120, 53, 2^2
Step-by-step explanation:
120 > 53 > 2^2 = 4
What are the values of x, y, and z in this system of equations?
2x+4y+z=1
x-2y-3z=2
x+y-z=-1
Answers
Answer:
{x,y,z}={5,−3,3}
Step-by-step explanation:
[1] 2x + 4y + z = 1
[2] x - 2y - 3z = 2
[3] x + y - z = -1
// Solve equation [3] for the variable y
[3] y = -x + z - 1
// Plug this in for variable y in equation [1]
[1] 2x + 4•(-x +z -1) + z = 1
[1] -2x + 5z = 5
// Plug this in for variable y in equation [2]
[2] x - 2•(-x +z -1) - 3z = 2
[2] 3x - 5z = 0
// Solve equation [2] for the variable x
[2] 3x = 5z
[2] x = 5z/3
// Plug this in for variable x in equation [1]
[1] -2•(5z/3) + 5z = 5
[1] 5z/3 = 5
[1] 5z = 15
// Solve equation [1] for the variable z
[1] 5z = 15
[1] z = 3
// By now we know this much :
x = 5z/3
y = -x+z-1
z = 3
// Use the z value to solve for x
x = (5/3)(3) = 5
// Use the x and z values to solve for y
y = -(5)+(3)-1 = -3
Solution :
{x,y,z} = {5,-3,3}
what is 5 1/2 + 2 1/7
Answers
Answer:
\(7\frac{9}{14}\)
Step-by-step explanation:
5 1/ 2 +2 1/ 7
= 11/ 2 +2 1/ 7
= 11/ 2 + 15/ 7
= 107/ 14
=7 9/ 14
Answer:
7 9/14
Step-by-step explanation:
Combine the whole numbers and fractions together:
(5 + 2) + ( 1/2 + 1/7)
The whole numbers part is:
5 + 2 = 7
For the fractions part:
The Least Common Multiple (LCM) of 2 and 7 is 14. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
1/2 + 1/7 = 1 × 7 + 1 × 2
--------- ------- = 7 /14 + 2/14 = 7 9/14
2 × 7 + 7 × 2