The rider has 141 laps left to finish the race.
If a rider has already cycled 4.75 km, and each lap measures 0.25 km, we can determine how many laps the rider has completed by dividing the distance already cycled by the distance per lap.
To find out how many laps the rider has left to finish the race, we will use the information on the total number of laps to complete the race: 160 laps.
The rider has completed:
4.75 km / 0.25 km = 19 laps
The rider has yet to finish:
160 laps - 19 laps = 141 laps
So the rider has 141 laps left to finish the race.
Therefore, the rider has 141 laps left to finish the race.
To learn more about equations,
Visit; brainly.com/question/29657983
#SPJ4
Given the function f(x) = -5x + 1, what is the value of x if f(x) = 11?
For the value of f (x) = 11, the value of x is
What is Function?A relation between a set of inputs having one output each is called a function.
We have to given that;
The function is,
⇒ f(x) = -5x + 1
And, f (x) = 11
Now, We have;
⇒ f(x) = -5x + 1
Substitute f (x) = 11, we get;
⇒ 11 = - 5x + 1
⇒ 5x = - 11 + 1
⇒ 5x = - 10
⇒ x = - 2
Thus, The value of x = - 2
Learn more about the function visit:
https://brainly.com/question/28793267
#SPJ1
A toaster uses 1,200 watts. It is plugged into a 120-volt outlet. How many amps will the toaster draw?
Answer:
Step-by-step explanation:
10.00 amps
The triangle below is equilateral. Find the length of side x to the nearest tenth.
x
12
Answer:
6.9
Step-by-step explanation:
You want half the side length of an equilateral triangle with an altitude of 12.
Pythagorean theoremThe altitude shown divides the base into equal parts. If one of those parts is x, then the full side length is 2x. The Pythagorean theorem relates the side lengths of the right triangle:
(2x)² = x² +12²
3x² = 144 . . . . . . . . subtract x²
x² = 48 . . . . . . . . divide by 3
x = √48 = 4√3 . . . take the square root
x ≈ 6.9
__
Additional comment
You should be familiar with the fact that a 30°-60°-90° triangle has side lengths in the ratio 1 : √3 : 2. This means the shortest side (x) will have a length of 12/√3 ≈ 6.9, since the middle-length side is shown as having a length of 12.
Given the function g(x) = 6x + 2, find g(0)
To find g(0) we need to substitute x = 0 into the function g(x) = 6x + 2.
g(0) = 6(0) + 2 = 0 + 2 = 2
So, g(0) = 2
Therefore, the value of the function g(x) when x is equal to 0 is 2.
Can you help me with this
Using the function f(x) = 500(0.67)^x :
A).f(0) = 500, f(1) = 335, f(2) = 224.45 and f(3) = 150.3815
B). 33% of bugs are eaten each day
C). 67% of the bugs remain each day
D). After day 7 will there remain fewer than 40 bugs in the farm.
Function of a function ruleThe function of a function rule is defined as the process that changes the input value to output.
day 1 will have 165 bugs eaten with a percentage evaluated as;
(165 × 100)/500 = 33%
day 2 will have 110.55 bugs eaten with a percentage evaluated as;
(110.55 × 100)/335 = 33%
day 3 will have 74.0685 bugs eaten with a percentage evaluated as;
(74.0685 × 100)/224.45 = 33%
day 1 will have 335 bugs remaining with a percentage evaluated as;
(335 × 100)/500 = 67%
day 2 will have 224.45 bugs remaining with a percentage evaluated as;
(224.45 × 100)/335 = 67%
day 3 will have 150.3815 bugs remaining with a percentage evaluated as;
(150.3815 × 100)/224.45 = 67%
At day 7;
f(7) = 500(0.67)⁷
f(7) = 30.30.
Therefore, 500, 335, 224.45 and 150.3815 are the respective population the days:0, 1, 2, and 3. for the function f(x) = 500(0.67)^x
33% of bugs are eaten each day
67% of the bugs remain each day and,
After day 7 will there remain fewer than 40 bugs in the farm.
Know more about function of a function here:https://brainly.com/question/25638609
#SPJ1
Do sides 10 cm 24cm 26cm from a right angled triangle justify?
The sides 10 cm, 24 cm and 26 cm can form a right-angled triangle. The Pythagorean theorem can be used to verify this.
From Pythagorean theorem, it can be said that, the square of hypotenuse side is equal to the sum of other two sides of a right angled triangle.
Let AB, CA and BC be the sides of a right triangle. CA is the hypotenuse side, AB and BC are the base and height sides of the right triangle. The equation can then be expressed as,
CA² = AB² + BC²
Now, let us check this rule for the above given sides of the triangle.
Longest side² = Sum of squares of other two sides
26² = 24² + 10²
676 = 576 + 100
Thus, the sides 10 cm, 24 cm and 26 cm can form a right-angled triangle.
To know more about Pythagoras theorem:
brainly.com/question/343682
#SPJ4
Find the coordinates of the vertices of the figure after the given transformation.
Dilation of 1.5
Answer:
[tex]D'(-3,-1.5), E'(0,4.5), F'(3,-3)[/tex]
Step-by-step explanation:
Assuming the dilation is centered at the origin, it is known that for a dilation of scale factor [tex]k[/tex] centered at the origin, [tex](x,y) \to (kx,ky)[/tex].
Geometric mean of 2 and 22
Answer:
4,6,8,12
Hope it helps because im not sure if its right
#carryonlearning
A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in squares from each corner and folding up the sides. The box is to hold 7623 in How big a piece of cardboard is needed?
The size of the cardboard piece required is 7627.0 in.
The formula for finding the size of a box is
2(L + W) + 8L + 8W = Perimeter of the cardboard piece
Where L = Length, W = Width
We need to find L and W to find the size of the cardboard piece.
7623 = 2(L + W) + 8L + 8W
7623 = 2L + 2W + 8L + 8W
7623 = 10L + 10W
7623/10 = L + W
762.3 = L + W
Let's take L = 500 and W = 262.3 (762.3 - 500 = 262.3)
Now we plug in the values of L and W in the original formula
2(500 + 262.3) + 8(500) + 8(262.3) = 7623
2(762.3) + 4000 + 2102.4 = 7623
1524.6 + 4000 + 2102.4 = 7623
7627.0 = 7623
Therefore, the size of the cardboard piece required is 7627.0 in.
Learn more about size here:
https://brainly.com/question/3555319
#SPJ4
At a new Italian restaurant, you order a salad for $3.50 and baked ziti for $9.25. If you want to leave a 15% tip, how much money should you leave for the waiter as tip?
Answer:
The total cost of the salad and baked ziti is $3.50 + $9.25 = $12.75
To calculate the tip, you need to multiply the total cost by the tip percentage (expressed as a decimal)
Tip = $12.75 x 0.15 = $1.91
So you should leave $1.91 as a tip for the waiter.
Step-by-step explanation:
What is a 2 3 ratio file?
A 2:3 ratio file refers to a digital image file with a width-to-height aspect ratio of 2:3.
This means that for every 2 units of width, the file has 3 units of height. This ratio is commonly used in photography and results in images that are similar in shape to standard prints.
This ratio is commonly used in digital photography, and it is a standard aspect ratio for many camera sensors, which results in a proportion that is similar to standard prints.
This ratio is also used in other fields such as video and graphic design. The 2:3 ratio is a common aspect ratio for digital cameras and is also used for printing photographs in standard sizes, such as 4x6, 5x7, and 8x10 inches. This ratio can also be represented as 1.5:1 in decimal form.
To learn more about the ratio file at
https://brainly.com/question/17981483?referrer=searchResults
#SPJ4
What is the coefficient of X in 8 x/y *?
The polynomial 8X/Y has a coefficient of X of 8.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is often a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.
In the above polynomial 8X/Y, the coefficient of X is 8.
To know more about coefficients, visit,
https://brainly.com/question/1038771
#SPJ4
What is the measure of x?
4
9
X=[?]vL
Give your answer in simplest form.
4 2 add y 2 root that
it's pretty easy and thanks for the high points ur welcome ur in the matrix kid
Can somebody help me?
An picture is warped to fit a target brain by applying a coordinate transformation on the source image. The degree of coordinate transformation difficulty depends on the spatial normalization's regional scope.
Why do we need coordinate transformation?An essential method for converting data between reference systems uses a set of control points that are measured in both systems, which is known as a coordinate transformation. To pinpoint the location of robots, sensors, and other items in robotics applications, a variety of different coordinate systems can be used. Position and orientation data can typically be used to specify where an object is located in 3-D space.
The rotation matrix is used to transform coordinate systems with various orientations. This changes the components of any vector with regard to a coordinate frame into the components of a frame that has been rotated with respect to the original frame. The geographic coordinate system of the layers is calculated to be converted to match the geographic coordinate system in the transformation.
To learn more about coordinate transformation refer to :
https://brainly.com/question/2689696
#SPJ1
What triangles are similar to ABC
A. FED only
B. HIG only
C. Both
D. Neither
Maggie Ryan is pricing materials for a deck project. She notes that deck
boards are sold in standard lengths by the foot as follows: 6 feet for
$5.88, 8 feet for $8.79, 10 feet for $10.68, 12 feet for $13.43, 14 feet for
$15.65, 16 feet for $17.88, 18 feet for $20.99, and 20 feet for $24.99. What
is the price per foot for each length?
According to the notes of Maggie the price for per foot length of deck division board is -6 feet for $5.88 = $0.98,8 feet for $8.79 = $1.09 ,10 feet for $10.68 = $1.06 ,12 feet for $13.43 = $1.11 .
What is division?One of the four fundamental mathematical operations—the others being addition, subtraction, and multiplication—is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Here,
The first record for deck board noted by Maggie is -
The length of the deck board = 6 feet
Price for 6 feet of deck board = $5.88
Use the division method -
Price for 1 feet of deck board = 5.88/6
Price per feet of deck board = $0.98
The second record for deck board noted by Maggie is -
The length of the deck board = 8 feet
Price for 6 feet of deck board = $8.79
Use the division method -
Price for 1 feet of deck board = 8.79/8
Price per feet of deck board = $1.09
The third record for deck board noted by Maggie is -
The length of the deck board = 10 feet
Price for 6 feet of deck board = $10.68
Use the division method -
Price for 1 feet of deck board = 10.68/10
Price per feet of deck board = $1.06
The fourth record for deck board noted by Maggie is -
The length of the deck board = 12 feet
Price for 6 feet of deck board = $13.43
Use the division method -
Price for 1 feet of deck board = 13.43/12
Price per feet of deck board = $1.11
The fifth record for deck board noted by Maggie is -
The length of the deck board = 14 feet
Price for 6 feet of deck board = $15.65
Use the division method -
Price for 1 feet of deck board = 15.65/14
Price per feet of deck board = $1.11
The sixth record for deck board noted by Maggie is -
The length of the deck board = 16 feet
Price for 6 feet of deck board = $17.88
Use the division method -
Price for 1 feet of deck board = 17.88/16
Price per feet of deck board = $1.11
The seventh record for deck board noted by Maggie is -
The length of the deck board = 18 feet
Price for 6 feet of deck board = $20.99
Use the division method -
Price for 1 feet of deck board = 20.99/18
Price per feet of deck board = $1.16
The eighth record for deck board noted by Maggie is -
The length of the deck board = 20 feet
Price for 6 feet of deck board = $24.99
Use the division method -
Price for 1 feet of deck board = 24.99/20
Price per feet of deck board = $1.24
Therefore, the value for deck board per foot length is $0.98, $1.09, $1.06, $1.11, $1.11, $1.11, $1.16, $1.24.
To learn more about division from the given link
brainly.com/question/25289437
#SPJ1
4 square miles of land is separated into sections that each have an area of 1/2 square mile
The number of sections that each have an area of 1/2 square mile will be 8.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
4 square miles of land are separated into sections that each have an area of 1/2 square mile.
Then the number of the equal section is given as,
⇒ 4 / (1/2)
⇒ 8 section
The number of sections that each have an area of 1/2 square mile will be 8.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
How does a graph show a functional relationship?
A graph can demonstrate a functional relationship by showing a line or curve that changes with the independent variable, indicating a direct relationship between the two variables.
A graph can show a functional relationship by showing a line or curve that consistently increases or decreases when the independent variable is changed. This will show a direct relationship between the two variables, and the pattern of the line or curve will show the functional relationship that exists.
A graph can demonstrate a functional relationship by showing a line or curve that changes with the independent variable, indicating a direct relationship between the two variables.
Learn more about graph here
https://brainly.com/question/17267403
#SPJ4
Brianna had a garden box In her back
yard that is 8 feet by 12 feet. This
summer she decides that it is too big
and wants to reduce it by a scale
factor of ½. Find the area of her new
garden.
Brianna wants to reduce it by a scale factor of 1/2, the area of the new garden is 48 ft².
What is meant by area of a rectangle?The territory a rectangle occupies inside its four sides or limits is known as its area. A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.
The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. Draw a square on a piece of paper using a pencil. A 2-D figure, that is. The term "Area" refers to the area that a shape occupies on paper.
The formula for calculate the area of a rectangle is:
area of a rectangle = length × width
Where "I" is the length and " w " is the width.
The dimensions of the garden box are:
l = 12 ft
w = 8 ft
Therefore, its area is:
A = (12 ft)(8 ft)
A = 96 ft²
Since Brianna wants to reduce it by a scale factor of 1/2, the area of the new garden is:
Area of new garden = 1/2(96 ft²)
Area of new garden = 48 ft²
To learn more about the area of a rectangle refer to:
https://brainly.com/question/25292087
#SPJ1
The function f(x)=x√ is horizontally stretched by a factor of 4 to form function g(x).
What is the equation of g(x)?
Enter your answer in the box.
The equation of the function g(x) will be √ [ (x) - 4 )].
A line that, in analytical geometry, is an asymptote of a curve is one where, as one or both of the x or y coordinates tend to infinity, the distance between the curve and the line approaches zero.
An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and related contexts.
Given that the function F(x) is √x and is horizontally stretched by a factor of 4 to form function g(x).
The equation of the stretched function can be written as:-
f(x) = √x
g(x) = √ [ (x) - 4 )]
To know more about asymptotes follow
https://brainly.com/question/4138300
#SPJ1
Six familie went to the food fetival. Each family ha 2 adult and 4 childern. The entry fee for each child ticket cot $4, and an adult ticket cot $8. What would be the total cot of the fetival ticket?
The total cost of the festival tickets for 6 families with 2 adults and 4 children would be $192.
We can start by using the following equation to find the total cost of the child tickets:
Child tickets cost = Number of child tickets x Cost per child ticket
In this case, the number of child tickets is 4 children/family x 6 families = 24 children
The cost per child ticket is $4.
So, the total cost of the child tickets would be:
24 children x $4/child = $96
Similarly, we can find the total cost of the adult tickets:
Adult tickets cost = Number of adult tickets x Cost per adult ticket
In this case, the number of adult tickets is 2 adults/family x 6 families = 12 adults
The cost per adult ticket is $8.
So, the total cost of the adult tickets would be:
12 adults x $8/adult = $96
To find the total cost of the festival tickets, we can add the cost of the child tickets and the cost of the adult tickets:
Total cost = Child tickets cost + Adult tickets cost
$96 + $96 = $192
So, the total cost of the festival tickets for 6 families with 2 adults and 4 children would be $192.
To learn more about equations,
Visit; brainly.com/question/29657983
#SPJ4
Right triangle ABC has an area of 16 cm². Segment AB has a length of 8 cm, and segment CA is the hypotenuse. What is the distance between C and A?
Therefore , the solution of the given problem of triangle comes out to be CA = 8.94 cm .
A triangle is what exactly?An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.
Here,
Given : A right triangle ,
Area =16 cm squarea
=> 1/2 * b * h = 16
=> 8*h = 32
= > h =4
=> 8²+ 4²= CA²
=> CA² = 64 + 16
=> CA² = 80
=> CA = √80
=>CA = 8.94 cm
Therefore , the solution of the given problem of triangle comes out to be CA = 8.94 cm .
To know more about triangle visit:
brainly.com/question/2773823
#SPJ1
Find the slope of the line passing through the points (7, 10) and (18, 25).
The slope of the line passing through the points is given by the equation Slope m = 15/11
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P = P ( 7 , 10 )
Let the second point be represented as Q = Q ( 18 , 25 )
Now , the slope of the line between the points is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 25 - 10 ) / ( 18 - 7 )
On simplifying the equation , we get
Slope m = 15/11
Hence , the slope of the line is m = 15/11
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ1
In your own words, tell me what is the solution set of the equation if the x-intercept method leads to a horizontal line that coincides with the x-axis.
The solution of the system of equations for this problem is given as follows:
(x-intercept, 0).
How to obtain the solution of the system of equations?Via graphing, the solution of the system of equations is obtained by the point of intersection of the points.
An horizontal line can be traced through the point of intersection.
This line coincides with the x-axis, hence the y-coordinate of the solution is given as follows:
y = 0.
Due to the x-intercept method, the x-coordinate of the solution is the x-intercept.
Missing InformationThe equations for this problem are not given, hence the solution is given in general terms.
More can be learned about a system of equations at https://brainly.com/question/13729904
#SPJ1
Help this gemotry work help help due today
According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.
What is Isosceles Triangle Theorem?According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.
∆ABC is an isosceles triangle with AB = AC.
Construction: Altitude AD from vertex A to the side BC.
Explanation To Prove: ∠B = ∠C.Proof: We know, that the altitude of an isosceles triangle from the vertex is the perpendicular bisector of the third side. Thus, we can conclude that,
∠ADB = ∠ADC = 90º ----------- (1)
BD = DC ---------- (2)
Consider ∆ADB and ∆ADC
AB = AC [Given]
AD = AD [common side]
BD = DC [From equation (2)]
Thus, by SSS congruence we can say that,
∆ADB ≅ ∆ADC
By CPCT, ∠B = ∠C.
Hence, we have proved that if two sides of a triangle are congruent, then the angles opposite to the congruent sides are equal.
To know more about Isosceles Triangle Theorem refer to:
https://brainly.com/question/12951731
#SPJ1
Where is (-4,-2.5) in the easiest way to put it
(-4, -2.5) represents a point on the cartesian coordinate system having -4 units on the x axis and -2.5 units on the y axis
What is cartesian coordinate system?A Cartesian coordinate system in a plane is a system of coordinates that identifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
The two fixed perpendicular oriented lines are
x axisy axisThey are represented by a pair of numerical coordinates called ordered pair. The ordered pair are arranged such that the x values are first then a comma and the y values.
This is written as (x, y) hence for (-4, -2.5) x = -4 and y = -2.5
Learn more about ordered pair at:
https://brainly.com/question/23641282
#SPJ1
Type the correct answer in each box.
Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than 2 times the number of cards Bill has. Calvin has
1 more than 1 times the number of cards Bill has.
If Alan and Calvin have the same number of cards, the number of cards Bill has is 12
19
If Alan, Bill, and Calvin have all the cards in the deck, then the deck has
Reset
cards.
Next
The number of cards Alan and Calvin each have is
In given word problem the number of cards Alan has is 13 and Number of cards Calvin has is 13.
What is word problem?
A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
Here , Let us take Number of card Alan has as A and Number of card bill has as B and Number of cards does Calvin has as C.
Now Alan has 11 less than 2 times the number of cards Bill has then,
=> A = 2B-11 ------------->1
And Calvin has 1 more than 1 times the number of cards Bill has then,
=> C = B+1 ----------> 2
Here Alan and Calvin has same number of cards then
=> 1 = 2
=> 2B - 11 = B +1
=> 2B-B = 11+1
=> B = 12
Now put B= 12 into 1 then
=> A = 2(12)-11= 24-11 = 13
Now put B= 12 into 2 then
=> C = 12+1 = 13
Hence the number of cards Alan has is 13 and Number of cards Calvin has is 13.
To learn more about Word problem refer the below link
https://brainly.com/question/21405634
#SPJ1
The graph below shows the relationship between the number of hours Elisa works and the total amount of money in her bank account. Which equation can be used to find the amount of money in Elisa’s bank account (y) when she works for (x) hours?
If he works 14 hours then he will earn the amount of $105 which is true and if he works 16 hours then he will earn $120 which is true.
What is the Linear equation?You should be aware that a linear equation is defined as an equation in which the highest power of the variable is one.
The given graph represents Elisa's work and the amount of money he earns at his job.
According to the given graph,
We can see two points are (4, 30) and (8, 60)
The linear equation will be
⇒ y - 30 = (60-30)/(8-4)(x-4)
⇒ y - 30 = (30)/(4)(x-4)
⇒ y - 30 = 7.5(x-4)
⇒ y = 7.5x - 30 + 30
⇒ y = 7.5x
Elisa's work = 14 hours then we verify the response by substituting x = 14 in the above equation,
⇒ y = 7.5(14)
⇒ y = 105
Thus, if he works 14 hours then he will earn $105
Elisa's work = 16 hours then we verify the response by substituting x = 16 in the above equation,
⇒ y = 7.5(16)
⇒ y = 120
Thus, if he works 16 hours then he will earn $120.
Learn more about linear equations on https://brainly.com/question/11897796
#SPJ1
Correct question:
The graph below shows the relationship between the number of hours
Cody works and the amount of money he earns at his job. Which of the
following statements is not true about the relationship?
100
90
80
70
60
MONEY EARNED
50
40
30
20
10
1
2
3
4
5
6
7
8 9 10
HOURS WORKED
27 km = how many m ????????
Answer:
27000 m
Step-by-step explanation:
1km = 1000 m
27km = 27 x 1000 = 27000 m
So, the answer is 27000 m
Answer:27 km in meters is 27000 m
Step-by-step explanation:
multiply the length by 1000!
someone please help, fast!!
Answer:
b) m = -2 and b=10 and c) m= 2/5 and b=4
Step-by-step explanation:
For b, we know that the b value (y-intercept) is 10 because it is the y value when x= 0, which is shown on the table as 10.
Next, to find the slope (m-value) we know that 10 gets added to the y value so then x(2) + 10 = 6
subtract 10 from both sides and you get 2x = -4
divide both sides by 2 to get x= -2 or our m-value (slope)
-------------------------------------------------------------------------------------------------------------
For c, we know that the graph intercepts the y-axis at 4, so that is our b value.
We know know: y= m(x) + 4
To find the slope, we use the formula: rise/run
When the graph goes up 6 to get to y=10, the x value goes 15 across
Rise = 6 ; Run = 15
6/15 = 2/5
Therefore, the m value is 2/5