No, the sides of a right triangle do not include 8, 15, and 17. The sides of a right triangle must follow the Pythagorean theorem, so the sum of the squares of the two shorter sides must equal the square of the longest side. 8² + 15² does not equal 1
8² + 15² = 64 + 225 = 289
17² = 289
Therefore, 8, 15, and 17 are not the sides of a right triangle.
The Pythagorean theorem is an important mathematical concept used to determine if three numbers form the sides of a right triangle. This theorem states that the sum of the squares of the two shorter sides must equal the square of the longest side. In the case of 8, 15, and 17, 8² + 15² does not equal 17², so it is not a right triangle. To test this, we can calculate 8² + 15² = 289, and then 17² = 289. Since the two values are not equal, we can conclude that 8, 15, and 17 are not the sides of a right triangle.
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Can someone answer one of my questions for once 50 pts
x=12
Step-by-step explanation:L||M means L will be parallel to M.
Two lines are parallel if their corresponding angles are the same.
Corresponding angles are shown below.
As the two angles given are corresponding, L||M when x+5 = 2x-7.
x+5 = 2x-7
x = 12
Therefore, the value of x which makes L||M is 12.
Answer:
x = 12
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ x + 5 = 2x - 7
Then the value of x will be,
→ x + 5 = 2x - 7
→ x - 2x = -7 - 5
→ -x = -12
→ [ x = 12 ]
Hence, the value of x is 12.
A car traveling 62 miles per hour is moving at a speed of about how many kilometers per hour? Use a unit multiplier to convert the rate. (1 km≈ 0.62 mi)
Please help if you can!
Answer: ≈ 100km/h
Step-by-step explanation:
62 : 0.62 = 100 km
A parallelogram has three of its vertices at $(-1,0)$, $(2,4)$ and $(2,-4)$. What is the positive difference between the greatest possible perimeter and the least possible perimeter of the parallelogram
The difference in perimeters is 6.
We have 3 possible points for the last vertex.
These are
[ -1 + 2 , 0 + 4 ] - [ 2 , -4 ] = [ [ 1 , 4] - [2 , - 4 ] = ( -1, 8 )
The perimeter of this parallelogram = [tex]2 [ \sqrt{(-1-2)^{2} + (8-4)^2]} + 8][/tex]
= [tex]2 [ \sqrt{9+16}+ 8 ][/tex]
= 2 [ 5 + 8 ]
= 26
Another possible point is
[ 2 + 2, 4 - 4] - [-1,0] = [ 4, 0] - [ -1,0] = (5,0)
The perimeter of this parallelogram
= [tex]2 [ \sqrt{(5-2)^{2} +(0-4)^{2} } + \sqrt{(2+1)^{2}+ (4-0)^{2} } ][/tex]
= [tex]2 [ \sqrt{3^{2}+ 4^{2} } + \sqrt{3^{2}+ 4^{2} }][/tex]
= [tex]2(\sqrt{25} +\sqrt{25})[/tex]
= 2(5 + 5)
= 20
The third feasible point won't change either the largest perimeter of 26 or the smallest perimeter of 20; therefore, we don't need to calculate it.
Difference = 26-20
= 6
Hence, the difference in perimeters is 6.
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Evaluate the expression when x=3
, y=−4
, and z=−6
.
z−2xy=
z
−
2
x
y
=
The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: z − 2xy
Values: x = 3, y = -4 and z = -6
Substitute the known values in the above equation, so, we have the following representation
z − 2xy = -6 - 2 * 3 * -4
Evaluate the products
This gives
z − 2xy = -6 + 24
Evaluate the like terms in the equation
So, we have the following representation
z − 2xy = 18
Using the above as a guide, we have the following:
The solution is 18
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FIND THE VALUE OF EACH EXPONENTIAL NOTATION COLOR THE CORRECT ANSWER THROUGH NAVIGATING THE EXPONENT MAZE. (PA HELP NAMAN GUYS)
The complete maze pattern is shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.An exponent refers to the number of times a number is multiplied by itself.Given is an exponent maze.
We can complete the maze as -
START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.
Therefore, the complete maze pattern is shown above.
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Graph the line that passes through the points (8, -3) and (4, 1) and
determine the equation of the line.
Answer:
y = -x + 5
Step-by-step explanation:
The equation is y= mx + b
m = the slope or rise/run or (y2 - y1) / (x2 - x1)
b = y-intercept
The slope here is -1, and the y-intercept is 5, so our equation is
y = -x + 5
The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?
The digit A stands for 7 when the four-digit number is divisible by 9 and is given by 3AA1.
Characteristics of numbers that divide by 9A number is divisible by 9 if the sum of its digits is also 9-divisible.
Numbers that are 9 - divisible are also called multiples of 9. Multiples in mathematics are the outcomes of multiplying an integer by a certain number.
Using the aforementioned attribute, we can say
3 + A + A +1 = 9, 18, or 27
4 + 2A = 9, OR 18, OR 27
taking 18
2A = 18 - 4
2A = 14
A = 7
Because of this, the whole digits are 3771
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Select ALL the correct answers.
Consider the graph of function g below.
Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.
-reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
- shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3
-reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit
The sequences of transformations could be applied is
reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unitshift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
From the picture we have, g(x) = -3x - 1
Parent function: f(x) = x
1) Reflect over the y-axis gives g(x) = -x
Vertically stretch by a factor of 3 gives g(x) = -3x
Shift down 1 unit gives g(x) = -3x - 1
2) Shift left 2 units: g(x) = x+2
Reflect over x-axis: g(x) = -x-2
Vertically stretch by a factor of 3 gives g(x) = -3x -6
3) Shift right 1 unit: g(x) = x-1
Reflect over the y-axis: g(x) = -x-1
Vertically stretch by a factor of 3: g(x) = -3x -3
4) Shift right 1 unit: g(x) = x-1
Reflect over the x-axis: g(x) = -x+1
Vertically stretch by a factor of 3: g(x) = -3x +3
5) Reflect over the x-axis: g(x) = -x
Vertically stretch by a factor of 3: g(x) = -3x
Shift down 1 unit: g(x) = -3x - 1
6) Shift down 1 unit: g(x) = x - 1
Reflect over the x-axis: g(x) = -x + 1
Vertically stretch by a factor of 3: g(x) = -3x + 3
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Is the triangle formed by points A, B, and C a right triangle?
Answer:Yes
Step-by-step explanation: It is a right triangle as if you imagine it, you can see that is half of a square, holding a right angle within it.
Can you help me with this
Answer: slope=2
Step-by-step explanation:
using y=mx+b, we know the equation of the line is y=2x. The slope is the m term so we know that the slope is 2.
find the real solutions to the equation 3,888=3h^4
Answer:
[tex]h=\pm6[/tex]
Step-by-step explanation:
[tex]3h^4=3888\\h^4=1296\\h=\pm6[/tex]
Mrs. Knight is saving money for a trip. She already has some money saved in 1 point
her savings account and will add the same amount to her account each
week. At the end of 2 weeks, she has $130. At the end of 8 weeks, she has
$280. Write a linear function to represent the amount of money (y)
Mrs. Knight has saved after x weeks
The equation of line is given by y = 25x + 80.
What is an equation of a line?The equation of a line is expressed as y = mx + b where m exists the slope and b exists the y-intercept
y - y₁ = m ( x - x₁ )
Where, y be the y-coordinate of second point
y₁ be y-coordinate of point one
m be the slope
x be the x-coordinate of second point
x₁ be the x-coordinate of point one
Let the equation of slope m be
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Equation of line be represented as A
The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )
The slope of the line between the two points exists given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 280 - 130 ) / ( 8 - 2 )
simplifying the above equation, we get
m = 150 / 6
m = 25
Now , the equation of line is given by
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 130 = 25 ( x - 2 )
On simplifying the equation , we get
y - 130 = 25x - 50
Adding 130 on both sides , we get
y = 25x + 80
The equation is of the form y = mx + b where b is the y intercept.
Therefore, the equation of line is given by y = 25x + 80
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The equation of line is given by y = 25x + 80, this represent the linear function between the amount of money and the saved amount.
What is an equation of a line?The equation of a line is expressed as y = mx + b where m is called the slope and b is called the y-intercept
y - y₁ = m ( x - x₁ )
Where, y be the y-coordinate of second point
y₁ be y-coordinate of point one
m be the slope
x be the x-coordinate of second point
x₁ be the x-coordinate of point one
Let the equation of slope m be
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Equation of line be represented as A
The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )
The slope of the line between the two points exists given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 280 - 130 ) / ( 8 - 2 )
simplifying the above equation, we get
m = 150 / 6
m = 25
Now , the equation of line is given by
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 130 = 25 ( x - 2 )
On simplifying the equation , we get
y - 130 = 25x - 50
Adding 130 on both sides , we get
y = 25x + 80
The equation is of the form y = mx + b where b is the y intercept.
Therefore, the equation of line is given by y = 25x + 80
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Can you help me with this
==========================================================
Explanation:
Pick any two points on the line to apply the slope formula.
I'll select (-5,1) and (5,-1)
[tex](x_1,y_1) = (-5,1) \text{ and } (x_2,y_2) = (5,-1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-1 - 1}{5 - (-5)}\\\\m = \frac{-1 - 1}{5 + 5}\\\\m = \frac{-2}{10}\\\\m = -\frac{1}{5}\\\\[/tex]
The slope as a fraction is -1/5
A slope of -1/5 means " go down 1, then to the right 5 units".
An example of this motion is when going from (-5,1) to (0,0)
Another example would be going from (0,0) to (5,-1)
----------
The "down 1, right 5" motion is because
slope = rise/run = -1/5rise = -1 = go down 1run = 5 = go to the right 5What does y 3x 3 look like on a graph?
On a graph, y 3x 3 would be a line that is 3 units below the line y = 3x. It would have the same slope but lower y-intercept.
To graph y 3x 3, we can first graph y = 3x. To do this, we can pick any two points along the line and plot them. For example, if we choose (0,0) and (1,3), the line would look like this:
(0,0) -------------------------- (1,3)
Now, to graph y 3x 3, we want to move the line 3 units down. Therefore, the new points that we plot should be (0,-3) and (1,0). The graph should look like this:
(0,-3) -------------------------- (1,0)
This line is 3 units below the line y = 3x. It has the same slope, but a lower y-intercept.
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Brendan is an hourly worker. During a week's pay period, he worked the following hours and minutes: Day Hours Minutes Monday 8 45 Tuesday 7 52 Wednesday 8 0 Thursday 9 36 Friday 8 24 Using the quarter-hour method, how many total hours did Brendan work that week
The total hours did Brendan work that week is 669.86.
How to calculate how many hours Brendan work that week?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.
The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.
The three different types of algebraic expressions are monomial, binomial, and polynomial.
The total hours did Brendan work that week is 669.86.
The complete question is: Brendan is an hourly worker and earns $15.25/hour. During a week's pay period, he worked the following hours and minutes:
Day Hours Minutes
Monday 8 45
Tuesday 7 52
Wednesday 8 0
Thursday 9 36
Friday 8 24
Using the hundredth-hour method, what is Brendan's gross pay for the week? The employer pays overtime for all time worked in excess of 40 hours per week.
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Select the correct answer. which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x 2y = 21
a. 4x 6y = 64
b. 2x y = 36
c. 4x y = 21
d. -3x 4y = 33
e. 3x 2y = 28
An equation that combines with the given equation x + 2y = 21 to form a system of equations with the solution x = 3 and y = 9 is 4x + y = 21.
The correct answer is an option (c)
As x = 3 and y = 9 are the solution of system of equations, the required equation must be true for x = 3 and y = 9.
Given equation is: x + 2y = 21
For x = 3 and y = 9 given equation is 3.
In order to find the required equation, we substitute the values of x and y in each equation and check whether the equation is true for x = 3 and y = 9.
a. For equation, 4x + 6y = 64
LHS = 4(3) + 6(9)
LHS = 12 + 54
LHS = 66
LHS ≠ RHS
So, this is not a required equation.
b. 2x + y = 36
LHS = 2(3) + 9
LHS = 6 + 9
LHS = 15
LHS ≠ RHS
So, this is not a required equation.
c. 4x + y = 21
LHS = 4(3) + 9
LHS = 12 + 9
LHS = 21
LHS = RHS
this is the required equation.
d. -3x + 4y = 33
LHS = -3(3) + 4(9)
LHS = -9 + 36
LHS = 27
LHS ≠ RHS
So, this is not a required equation.
e. 3x + 2y = 28
LHS = 3(3) + 2(9)
LHS = 9 + 18
LHS = 27
LHS ≠ RHS
So, this is not a required equation.
Therefore, the reuired equation is 4x + y = 21
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Is X² is a variable?
A is the variable and X is the coefficient term in the supplied X2 expression. An algebraic expression is used to solve a particular mathematical problem .
what is variable ?In mathematics, a variable is an alphabet or phrase that denotes an unknowable quantity, unknowable value, or unknowable number. In the case of algebraic expressions or algebra, the variables are employed specifically. The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.
given
The coefficient term is denoted as X2, and the variable is A.
An algebraic expression is used to solve a particular mathematical problem by combining words and numbers.
For instance, the numerical coefficient in the equation 5x is 5, meaning that the variable x has been multiplied by 5 times.
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find the area of a rectangular garden with side length of 4x+11 and 2x+5
find the perimeter of the garden in the problem
Answer:
just ask your teacher for clarification, then you will actually learn...
What is the distance between -6 1/3 and 4 5/12
[tex]10\frac{1}{12}[/tex] is the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
We need to find the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
The given fractions are mixed fractions we have to convert them to improper fractions
[tex]-6\frac{1}{3}[/tex] =-17/3
[tex]4\frac{5}{12}[/tex] =53/12
Now we have to find the difference
53/12-(-17/3)
53/12+17/3
53+68/12
121/12
[tex]10\frac{1}{12}[/tex]
Hence, [tex]10\frac{1}{12}[/tex] is the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
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Lauren throw a ball with an initial velocity of 40 feet per econd. The equation for the of the ball i h =- 16t? 40t 5, where h repreent the height in feet and t repreent the time in econd. When will the ball reach a height of 3 feet?
The ball will reach a height of 3 feet at t = 5/4 seconds.
To find the time (t) when the ball reaches a height of 3 feet, we need to use the equation for the height of the ball: h = -16 [tex]t^2[/tex] + 40t + 5
We are given that the height of the ball is 3 feet, so we can set up the equation:
3 = -16[tex]t^2[/tex] + 40t + 5
Then we can solve for t by isolating t on one side of the equation and then solving for t:
3 = -16[tex]t^2[/tex] + 40t + 5
-5 = -16[tex]t^2[/tex] + 40t
16[tex]t^2[/tex] - 40t - 5 = 0
We can factor the left side of the equation:
(4t - 5)(4t + 1) = 0
So we have two possible solutions:
t = 5/4 or t = -1/4
However, the time cannot be negative, so the only valid solution is t = 5/4.
So the ball will reach a height of 3 feet at t = 5/4 seconds.
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How can you tell if you have a perfect square trinomial or the DIFFERENCE OF SQUARES?
The value of a perfect square is either a positive number or zero. They cannot be neutral.
what is perfect square ?Perfect squares are generated when you square an integer. For instance, the number 81 is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since 12 is squared to produce it. 169 is a perfect square since 13 may be squared to obtain it. Mathematical language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the outcome is referred to as a square number, a perfect square, or simply "a square." Therefore, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.
given
The value of a perfect square is either a positive number or zero. They cannot be neutral.
Square differences can be positive, negative, or zero depending on the order in which the numbers are obtained.
One squared term will be added to the difference of squares, and another squared term will be subtracted.
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If 23 jugs of water fills 184 cups how many cups will fill one jug show your math
Answer:
To find out how many cups a single jug of water fills, you can divide the total number of cups filled by the number of jugs:
184 cups / 23 jugs = <<184/23=8>>8 cups/jug
This means that one jug of water fills 8 cups.
Step-by-step explanation:
(x - 13)
155 solve for x
It equals 180 but I don’t know how to solve it
The solution of x in the given linear equation (x - 13 + 155 = 180) is equal to 38.
To solve the equation (x - 13 + 155 = 180), we need to pursue the following steps.
Step 1. Move all terms to the left:
⇒(x - 13 + 155 - (180)) = 0
Step 2. Add all the numbers jointly, and all the variables
⇒(x - 38) = 0
Step 3. Get rid of parentheses
⇒x - 38 = 0
Step 4. Transfer all terms including x to the left, and all other terms to the right
⇒x = 38
Hence, the required solution of x in the given linear equation (x - 13 + 155 = 180) is 38.
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How to list the sides of a triangle in order from shortest to longest?
To list the sides of a triangle in order from shortest to longest, you can follow these steps - Measure the length of each side of the triangle using a ruler or measuring tape. Then, write down the lengths of each side in a list. Sort the list in ascending order. The shortest side will be at the top of the list, and the longest side will be at the bottom.
A triangle is a polygon with three sides. By the property of a triangle which is the sum of any two sides of a triangle is greater than the third side. This property is known as the "Triangle Inequality Theorem".
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I need the answer to this question please!
The equivalent expression of 5[tex]x^{3/2}[/tex] is 5√(x³). The correct option is last one.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression,
5[tex]x^{3/2}[/tex]
To find the equivalent expression:
We have to simplify the expression,
5[tex]x^{3.1/2}[/tex]
= 5(x³)[tex]){1/2}[/tex]
= 5√(x³)
The above expression is an equivalent expression.
Therefore, 5√(x³) is an equivalent expression.
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someone help me
Plsss
Answer:
Step-by-step explanation:
oh thats easy its 2
Caculate the total amount from a simple interest account
Principal $300
interest rate 7%
Time 2
Answer:
$42.00
Step-by-step explanation:
Interest = principle x rate x time
Interest = 300 x .07 x 2
Interest = 42
Does there seem to be a relationship between which type of book her friends like best and the number of books they read this month?
Based on the two-way table, there seems to be a relationship between the type of books Julia's friends like best and the number of books they have read this month, A. Yes, because those who like fiction read one book at a rate four times that of those who read non-fiction books.
What is a two-way table?A two-way table, also called a contingency table, is a statistical table that shows the observed frequency for two variables.
The rows of a two-way table indicate one category and the columns indicate the other category.
For instance, based on the two-way table, one can observe that 80% of Julia's friends prefer fiction while 20% prefer non-fiction.
Among those who read 1 book this month, 80% read fiction against 20% who read non-fiction. Similarly, among those who read 2 books this month, the same 80% read fiction against 20% who read non-fiction.
The number of students who prefer fiction = 60
The number of students who prefer non-fiction = 15
The number of fiction-preferring students who read 1 book this month = 40, which is 80% of the total (40/50 x 100).
The number of fiction-preferring students who read 2 books this month = 20, which is 80% of the total (20/25 x 100).
Thus, we can conclude that Option A is correct.
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Question Completion:The Two-way Table:
Read 1 book Read 2 books Total
Prefer fiction books 40 20 60
Prefer non-fiction books 10 5 15
Total 50 25 75
If 7 is an element in the domain of f(x)= 6x-18/2, what is the corresponding element in the range?
The corresponding element in the range when 7 is an element in the domain is f(7)=33
Step-by-step explanation:
Given that the 7 is an element in the domain of f(x)
The function f is defined by f(x)=6x-18/2
To find the corresponding element in the range:
That is put x=7 in the given function f(x)
Therefore f(x) becomes
f(7) = 6(7)-18/2
=42-18/2
=42-9
=33
Therefore corresponding element in the range when 7 is an element in the domain is f(7)=33
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HELP MEEEEEEEE PLEASEEEEEEEE
Answer: 75p
Step-by-step explanation:
So, if one kilogram of bacon is £1.50, then half a kilogram would cost half of that, so 75p