The value of x is 14 and the measure of angle J s 103
How to solve for x and the measure of angle J?The given angles are external angles of parallel lines and a transversal
So, we have:
6x - 7 + 7x + 5 = 180
Evaluate the like terms
13x = 182
Divide both sides by 13
x = 14
Substitute x = 14 in J = 7x + 5
J = 7 x 14 + 5
Evaluate
J = 103
Hence, the value of x is 14 and the measure of angle J s 103
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The values of x and angle J are 14 and 103 degrees respectively.
How to determine the angleIt is important to note that angles on a transversal line are supplementary, that is, they sum up to 180 degrees
Given the angles as;
6x - 77x + 5Equate the angles
6x - 7 + 7x + 5 = 180
collect like terms
6x + 7x = 180 +2
13x = 182
Make 'x' the subject
13x/ 13 = 182/ 13
x = 14
But angle J = 7x + 5 = 7(14) + 5 = 98 + 5 = 103
Thus, the values of x and angle J are 14 and 103 degrees respectively.
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simone wants to babysit this weekend to make some extra money she changes a flat fee then changes per hour of part thereof that she babysits saturday afternoon she will babysit for 6 hours
The offer that will make her more money and how much more will she make is
The first offer$15 dollars moreThis is further explained below.
Which offer will make her more money and how much more will she make?Generally, the equation for the total made is mathematically given as
T= flat rate +(hours worked*hourly pay)
Therefore, for the first family
T= 40 + (6+5)
T=$51
For the 2nd family
T'= 20 + (6+10)
T'=$36
In conclusion, the offer that will make her more money and how much more will she make is
T'=51-36
T'=$15
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CQ
Simone wants to babysit this weekend to make some extra money she changes a flat fee then changes per hour or part thereof that she babysits Saturday afternoon she will babysit for 6 hours she had to choose between two families to babysit for. the first family offers her 40 plus $5 per hour. The second family offers her $20 and $10 per hour. Which offer will make her more money and how much more will she make
Write an expression that represents the maximum number of attendees at Jets, Dolphins, and Patriots home games during the season. Let j be the number of Jets home games, d be the number of Dolphins home games, and p be the number of Patriots home games.
The expression that represents the maximum number of attendees at Jets, Dolphins, and Patriots home games during the season is 82,500 j + 65,326 d + 66829 p.
We are given that:
Team Number of seats
Jets 82,500
Dolphins 65,326
Patriots 66,829
The number of attendees at the jets home games = j
The number of attendees at the Dolphins home games = d
The number of attendees at the Patriots home games = p
So, the maximum number of attendees can be written by the expression:
82,500 j + 65,326 d + 66829 p.
Therefore, we get that, the expression that represents the maximum number of attendees at Jets, Dolphins, and Patriots home games during the season is 82,500 j + 65,326 d + 66829 p.
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Your question was incomplete. Please refer the content below:
We are given the data as:
Team Number of seats
Jets 82,500
Dolphins 65,326
Patriots 66,829
Write an expression that represents the maximum number of attendees at Jets, Dolphins, and Patriots home games during the season. Let j be the number of Jets home games, d be the number of Dolphins home games, and p be the number of Patriots home games.
What is better when buying a $75 shirt?
a) A one time discount of 38%
b) A 14% discount followed by a 24% discount.
Which scenario gives the better buy?
How much will the shirt cost when given scenario (a) that gives a one time discount of 38%?
How much will the Shirt cost when giving scenario (b) that gives a discount of 14% followed by a 24% discount?
Answer: A. A one time discount of 38%.
How much will the shirt cost when given scenario (a) that gives a one time discount of 38%? : $46.50
How much will the Shirt cost when giving scenario (b) that gives a discount of 14% followed by a 24% discount? $49.02
The point (-4, 1) is rotated 180 degrees counterclockwise using center (-3, 0). What are the coordinates of the image?
The coordinates of the image is (4,-1) that is option D) is correct.
According to the question we have been given that
the point to be rotated = (-4,1)
center = (-3,0)
Rotation = 180° counterclockwise.
Note that when the point is rotated 180° counterclockwise then the coordinate of the image point will be
(x , y ) = (-x , - y)
For the coordinates of the image first we translate the center to the origin that is
(-3,0) = (-3+3,0) = (0,0)
Now we will do same for the point that is,
(-4 , 1) = (-4+3 , 1) = (-1,1)
Now the points are (-1,1). Thus the image will be
(-1,1) = (-(-1), -1) = (1,-1)
Now undoing the original translation :
(1,-1) = (1+3,-1) = (4,-1)
Hence the coordinates of the image is (4,-1) that is option D) is correct.
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what is the unit rate for 7 penguins for 188.88$
The unit rate is $26.98
How to calculate the unit rate ?Unit rate can be described as the price of a single item. From the question, we are required to find the unit rate of 1 penguin
The unit rate can be calculated as follows
7 penguins = 188.88
1 Penguin= x
Cross multiply both sides
7x= 188.88
x= 188.88/7
x= 26.98
Hence the unit rate is $26.98
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20-5.6
Multiply 5 and 6.
Subtract 30 from 20.
Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more laps. This weekend, they're swimming the same number of laps at a swim meet. Who will likely finish first? It's Tess
If Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more laps. This weekend, they're swimming the same number of laps at a swim meet. The person that will likely finish first is: Tess.
SpeedSince Tess finished more laps first when she and Alice both swam laps at the same number of time, which in turn means that there is likelihood or tendency that Tess will finish first.
Based on this we can conclude that Tess swab faster that Alice and may likely finish the swam lap before Alice if the both swim the same number of laps.
Therefore if this weekend, they're swimming the same number of laps at a swim meet. The person that will likely finish first is: Tess.
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2y+x/3=-6 linear or non linear?
2y+x/3=-6 is a linear equation.
An equation is written to equate two or more unknown variables and formulating a relation between them.
Equations are of various types such as:
linear equation: A equation where the highest degree of the variable is 1.quadratic equation : An equation where the highest degree of the variable is 2.logarithmic equation : An equation containing logarithmic functiontrigonometric equation : An equation containing trigonometric functionsradical equation: When the power of the variable is in a fraction it is a radical functionexponential equation: when the variable is raised to the power of another variable or constant it is an exponential function.The given equation is 2y+x/3=-6.
Here the power of both the variables is 1. Hence it can be classified as a linear equation in two variables.
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suppose you invested $6,000 and it grew by 8% every year for 5 years. how much would this investment be worth after 5 years?
1. $0.02
2. $8,815.96
3. $48,000
4. $8,864.73
Two quantities,
x
and
y
, are directly proportional. If you take a third of
x
, what happens to
y
?
CLEAR CHECK
It is tripled.
It is cubed.
It depends on the starting value of
x
.
It is multiplied by 13
1
3
.
If x and y are directly proportional and we take a third of x we also have to take a third of y, which means we have to multiply y by 1/3.
What is direct and inverse proportion?Two quantities when they are in direct proportion increase or decrease by the same constant and when they are inversely proportional if one quantity increases the other quantity decreases.
We know when two quantities are directly proportional we can relate them by proportionality as x ∝ y or x = ky.
∴ if we take 1/3 of x to maintain the equality we have to multiply y also by 1/3.
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Which expression below models this real world scenario the best? A company puts the same type of battery in each of its clocks. Machine Alpha uses 3000 batteries a day in the clocks it makes. Machine Delta uses 2500 batteries a day in the clocks it makes. If each battery costs b dollars, what is an expression the company can use to determine how much money they spend on batteries in a given day?
Question 7 options:
3000b+2500b
b+5500
500b
5000b
The expression the company can use to determine the money they spend on batteries in a given day would be 3000b + 2500b.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
We have been given that Machine Alpha uses 3000 batteries a day in the clocks it makes and Machine Delta uses 2500 batteries a day in the clocks it makes.
Machine Alpha = 3000b
Machine Delta = 2500b
Let b dollars represents costs of each battery.
Then the expression the company that can use to determine the money they spend on batteries in a day as;
3000b + 2500b
Hence, the expression the company can use to determine the money they spend on batteries in a given day would be 3000b + 2500b.
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Solve for x: 4 − (x + 2) < −3(x + 4) The graph shows a number line with an open circle at negative nine and shading to the left. The graph shows a number line with an open circle at negative nine and shading to the right. The graph shows a number line with an open circle at negative seven and shading to the left. The graph shows a number line with an open circle at negative seven and shading to the right.
After solving the expression 4 − (x + 2) < −3(x + 4), we get the value of x as x < - 7.
We are given the expression:
4 − (x + 2) < −3(x + 4)
Subtract 4 from both the sides, we get that:
4 - x - 2 - 4 < - 3 x - 12 - 4
- x - 2 < - 3 x - 16
- x + 3 x < - 16 + 2
2 x < - 14
x < - 14 / 2
x < - 7
Therefore, after solving the expression 4 − (x + 2) < −3(x + 4), we get the value of x as x < - 7.
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Fill in the blank question.
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the nearest tenth if necessary.
The percentage of increase in the price of the car is 32%
What is the percentage of increase?Percentage increase means adding the given percentage of value to the original value.
To calculate this percentage increase:
= 100{( final value - initial value )/initial value}
Given that last month online price of powered ride-on car was $250
and this month this cost is $330
Initial value = $250
Final value = $330
Percentage increase = 100{ ( 330 -250 )/250} =100*0.32 = 32%
This the percentage increase in the price of the powered ride-on car is 32%
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Solve for X and Y. Show all work!!
The value of x is 13° and the value of y is 131°
Calculating anglesFrom the question, we are to determine the values of x and y
From the given diagram, we can write that
(3x + 10)° + 90° + (2x + 15)° = 180° (Sum of angles on a line segment)
Solve for x in the equation
(3x + 10)° + 90° + (2x + 15)° = 180°
3x° + 10° + 90° + 2x° + 15° = 180°
Collect like terms
3x° + 2x° = 180° - 10° - 90° - 15°
5x° = 65°
x = 65/5
x = 13°
Also
y + (3x + 10)° = 180° (Sum of angles on a line segment)
Put the value of x into the equation
y + (3(13) + 10)° = 180°
y + (39 + 10)° = 180°
y + 49° = 180°
y = 180° - 49°
y = 131°
Hence,
x = 13° and y = 131°
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Helena has the same number of 1$, $5, and $10 bills. The total value of these bills is $128. How many of each bill does she have
Answer: 8 bills of each.
Step-by-step explanation:
10x 8=80
5x8=40
1x8=8
=128
twenty-three less than 4 times a number is 21. what is the number? equation and answer please!
The number is 11 and the equation is 4M - 23 = 21 where M is the number.
What is an equation?It is a mathematical statement that shows that two mathematical expressions are equal.
Example:
3x – 5 = 16
We have,
Let the number be M.
Twenty-three less than 4 times a number is 21.
Times = multiplication
less than = subtraction
We can write this as:
4M - 23 = 21
4M = 21 + 23
4M = 44
M = 44/4 = 11
Thus the number is 11 and the equation is 4M - 23 = 21 where M is the number.
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The number below is not correctly written in scientific notation.
0.0038 × 105
What is the new exponent for the power of 10 after rewriting the number correctly in scientific notation?
3.8 × 10?
Write the new exponent value in the blank below. PLEAZ HELP HUGE assignment
The new exponent for the power of 10 after rewriting the number correctly in scientific notation is 2
What is the new exponent for the power of 10 after rewriting the number correctly in scientific notation?The number written in scientific notation is given as.
0.0038 × 10^5
A number written in scientific notation is represented as.
a x 10^b
Where a is any real number between 1 and 10
So, we have
0.0038 × 10^5
Express 0.0038 as a real number between 1 and 10
This gives
0.0038 × 10^5 = 3.8 × 10^-3 × 10^5
Evaluate the products
0.0038 × 10^5 = 3.8 × 10^2
Hence, the new exponent for the power of 10 after rewriting the number correctly in scientific notation is 2
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an triangle has a angle of 75 degrees, x and y are the missing angles but x is twice y, what are the possibilities of x and y?
Answer:
x = 70°
y = 35°
Step-by-step explanation:
Given one angle of a triangle is 75° and the other two are 'x' and 'y', you want to find the possible values of 'x' and 'y' when x = 2y.
SetupThe angle sum theorem and the given relation give rise to two equations:
75 +x +y = 180
x = 2y
SolutionUsing the second equation to substitute for x in the first equation, we have ...
75 +(2y) +y = 180
3y = 105 . . . . . . . . . subtract 75 and simplify
y = 105/3 = 35
x = 2y = 2(35) = 70
The measures of angles x and y are 70° and 35°, respectively.
Please help with problem 25, Algebra 1 question, question in the attachments
The maximum and minimum number of people will be 19700 and 17300 respectively.
How to illustrate the information?It should be noted that it was stated that the arena can hold 18500 people.
Therefore, the equation to represent the number of people that can attend the event will be:
= 18500 +/- 1200
The maximum number of people will be:
= 18500 + 1200
= 19700
The minimum number of people will be:
= 18500 - 1200
= 17300
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How much time does it take for an
object moving at 5m/s to move 20 m?
Answer:
4 seconds
Step-by-step explanation:
In all movement problems, the time is given by finding the ratio between the distance the object moved and the speed the object moved at.
Therefore, [tex]t = \frac{20}5 = 4\text{s}[/tex]
Answer:
The answer should be 4 seconds :)
A car's engine provides a forward force of 2000 N while the force of air resistance is 800 N in the opposite direction. With what
(1 point)
force will the car move, and in which direction?
O 16000 N forward
O 2800 N forward
O 1200 N backward
O 1200 N forward
The car will move with a force of 1200 N in forward direction .
The correct option is D .
Data obtained from the question
Forward force = 2000 N
Force of air resistance = 800 N
Net force the car will use to move as illustrated below:
Net force = forward force - force of air resistance
Net force = 2000N - 800N
Net force = 1200 N forward
The net force represents the overall force acting on the car. In this case, the net force is 1200 N forward. This means that the car will experience a force of 1200 N pushing it in the forward direction.
Thus, the car will move with a force of 1200 N in forward direction .
The correct option is D .
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Solve the following by FACTORING and using the ZERO PROduct PROPERTY
3x^2-9x=30
The solution to the equation is x = -2 or x = 5
How to solve by FACTORING and using the ZERO product PROPERTY?The equation is given as
3x^2-9x=30
Rewrite properly as
3x^2 - 9x = 30
Divide through by 3
So, the equation becomes
x^2 - 3x = 10
Rewrite the equation
So, the equation becomes
x^2 - 3x - 10 = 0
Expand the equation
So, the equation becomes
x^2 + 2x - 5x - 10 = 0
Factorize the equation
So, the equation becomes
x(x + 2) - 5(x + 2) = 0
This gives
(x + 2)(x - 5) = 0
Evaluate
x = -2 or x = 5
Hence, the solution to the equation is x = -2 or x = 5
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Create a
number line and plot the decimal
numbers.
0. 75, 0. 279, 1. 008, 0. 44, 0. 705
In mathematical terms, Number Line is defined:
A visual representation of numbers(whole, natural, decimal, integers, fraction) using a horizontal line drawn straight with equal spacing divisions that represent each number.
Numbers are marked at equal intervals ans it is used to illustrate basic numeric operators. There is no limit to a number line, which means that it expands to positive and negative infinity. The middle of the number line is represented by zero, and on the right side are all the positive values up to the positive infinity. The same for the left side where are all the negative values are listed up to the negative infinity.
Now what is given to us in the question statement are a bunch of decimals. We know decimal numbers are considered real numbers and thus can easily be plotted on the number line. In order to plot the decimal numbers, we need to mark the intervals with decimals values.
The image attached below gives a clear representation of how the numbers will be plotted.
Values closer to 0, like 0.75, and 0.705, will be plotted more towards the right, and those away from zero, like 0.44, 0.279 will be plotted more towards the left of zero.
1.008 will be plotted after 0 and 1 on the number line (towards the right of the zero).
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help im too slow for this.
Charlotte can obtain that which website generated more revenue by (A) revenue divided by the number of posts.
What is revenue?Revenue is the total amount generated without the expenses to run a business.
From the given data we can conclude that content is what the website posted.
∴ To obtain which website generated more revenue per amount of content we have to divide revenue by the number of posts.
Website A posted 110 contents and generated $30,000,
∴ Revenue per content is,
= (30000/110) dollars.
= 272.72 dollars.
Website B posted 200 contents and genarated $75,000 dollars.
∴ Revenue per content is,
= (75000/200) dollars.
= 375 dollars.
So, Website B generated more revenue per content.
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Find n-formula if a1=1, an+1=(n+3)an
The n-formula is [tex]a_{n} = (n+2) a_{n-1}[/tex].
What is mean by series?
The cumulative sum of a given sequence of terms is called a series.
Given that;
[tex]a_{1} = 1[/tex]
[tex]a_{n + 1} = (n+3) a_{n}[/tex]
Now,
Find the series of numbers as;
[tex]a_{n + 1} = (n+3) a_{n}\\[/tex]
Put n = 1,
[tex]a_{1+1} = (1 + 3)a_{1} \\\\a_{2} = 4a_{1} \\[/tex]
Put n = 2,
[tex]a_{2 + 1} = (2+3) a_{2}\\\\a_{3} = 5 a_{3}[/tex]
Put n = 3,
[tex]a_{3 + 1} = (3+3) a_{2}\\\\a_{4} = 5 a_{6}[/tex]
Put n = 4,
[tex]a_{4 + 1} = (4+3) a_{4}\\\\a_{5} = 7a_{4}[/tex]
Hence, Proceed this pattern we get;
[tex]a_{n} = (n+2) a_{n-1}[/tex]
So, The n-formula is [tex]a_{n} = (n+2) a_{n-1}[/tex].
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3(x - 2) + 6 = 3x - 6 please show all steps im trying to finish so i can go to bed
I don't see a solution to the given expression.
Expand [tex]3(x-2)+6: 3x[/tex]
[tex]3x=3x-6[/tex]
Subtract 3x from both sides.
[tex]3x-3x=3x-6-3x[/tex]
Simplify.
[tex]0=-6[/tex]
Considering the sides are not equal, there is no solution to the given expression.
A rule was used to make the pattern shown below. 51, 45, 39, 33, 27, 21 .... Which could be the rule used to make the pattern? A Divide by 7. Divide by 6. Subtract 7. Subtract 6. B C Section 2: Quantitative Reasoning PETA
Answer:
subtract 6
Step-by-step explanation:
note there is a common difference between consecutive terms, that is
45 - 51 = - 6
39 - 45 = - 6
33 - 39 = - 6
27 - 33 = - 6
21 - 27 = - 6
the rule being used to make the pattern is subtract 6
this is an arithmetic sequence for which an nth term rule can be found
Answer:
subtract 6
Step-by-step explanation:
the pattern is made by subtracting 6 from the previous number
(2x^(4)y^(-3))
please solve
Answer:
Step-by-step explanation:
(2x^(4)y^(-3))
= 2x^4/ y^3.
6x² (-5x+16) what is the answer
Answer: [tex]-30x^{3} + 96x^{2}[/tex]
Step-by-step explanation:
Answer:
-30x³ + 96x²
Step-by-step explanation:
Algebraic expressions:To simplify the algebraic expression, multiply each term of (-5x + 16) by 6x².
When we multiply 6x² * (-5x), multiply the coefficient 6 & -5 and add the powers of the variables.
6x²*(-5x + 16) = 6x² *(-5x) +6x²*16
= -30x³ + 96x²
What is the simplified form of (a²/¹ b¹/⁴)²?
(A) a⁴/₅ b⁹/₁₆ (B) a⁴/₃ b³/₂ (C) a b (D) (a b)¹⁷/₆
The simplest form of the expression is a⁴ b¹/₂ which is option (B) .
Expressions in science are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by academic degree operator in between.Simplifying expressions mean rewriting an analogous math expression with no like terms and through a compact manner.To change expressions, we have a tendency to tend to combine all type terms and solve all the given brackets, if any, then inside the simplified expression, we have a tendency to are aiming to be exclusively left with not like terms that cannot be reduced any.We have given an expression (a²/¹ b¹/⁴)² .
On simplifying , we get
(a²/¹ b¹/⁴)² = [tex]a^{2\times2} \ \ b^{2/4}[/tex]
= a⁴ b¹/₂
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The complete question is given below :
What is the simplified form of (a²/¹ b¹/⁴)²?
(A) a⁴/₅ b⁹/₁₆ (B) a⁴ b¹/₂ (C) a b (D) (a b)¹⁷/₆