Algebraic expression of the given statement, is 8z+6.
In the given question,
We have to write a algebraic expression of the given statement.
The given statement is "6 more than the product of 8 and a number Z".
Since we have to write the algebraic expression. So the simplest way to write the algebraic expression of any statement is to read the statement carefully. Then break the statement into small step. Then write the expression as the statement saying one by one. Then you can easily write the expression of any statement.
In the given statement it saying that 6 more than means we add the 6 in expression.
Next it says that product of 8 and a number Z. That means 8×z i.e. 8z.
Now the expression should be 8z+6.
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Right question is
"Write an algebraic statement of phrase "6 more than the product of 8 and a number Z"."
‼️‼️‼️‼️‼️‼️SOMEONE PLEASE HELP IM BAD AT MATH PLS ITS URGENT ‼️‼️‼️‼️
Answer:
I agree due to everything stated there everything is perpendicular and is equal to the each other.
PLEASE GIVE BRAINLIEST THANK YOU!!!
PLEASE HELP I need to pass
1. Suppose a graph passes the horizontal line test: No horizontal line can be
drawn that touches the graph in more than one location. Does this mean that
the graph represents a function? If not, is there anything special about a graph
that passes the horizontal line test? Share your ideas with a classmate.
2. Dotty and Lionel are making a graph comparing a car's age with its gas
mileage. Dotty says the graph should show discrete points because the car's
age is stated in whole numbers of years. Lionel says they should make a
continuous line because age increases gradually, like time. Which student do
you agree with and why?
3. Write two linear functions, f(x) and g(x). For example, f(x) = 3x - 7 and
g(x)=-2x+5. Then see whether f(x) - (-g(x)) is equivalent to f(x)+ g(x). Hint
To find -g(x), just change the signs of all the terms in g(x) Discuss whether
1. When a function passes the horizontal line test, we can infer that its inverse is both known and exists.
You can use the vertical line test to determine whether an expression is actually a function; if it succeeds, it is. If the graph does, in fact, pass the vertical line test before passing the horizontal line test, it is a function. If it also passes the horizontal line test, it is a one-to-one function, which means there is a unique x-coordinate value for every unique y-coordinate value. Only one-to-one functions have an inverse expression that is also a function.
Graph:
A graph is a logical visual representation of any data in mathematics. The correlation between the variable values is depicted on the graph. A graph is used in graph theory to depict a group of items that are interconnected in some way. In essence, the vertices or nodes of the objects are mathematical notions, and the edges are representations of the connections between the nodes. In mathematics and statistics, many graph types are used to visually display data. The study of points and lines is the focus of the field of graph theory. It is a branch of mathematics with a focus on graph analysis. The mathematical truth is clearly illustrated in this artwork. Relationships are studied using the graph theory.
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Alinethatincludesthepoint(–6, –4)hasaslopeof1
. What
isitsequationin
slope -intercept
form
Answer:
(y – 4) = 1(x +6)
Step-by-step explanation:
y – y₁ = m(x – x₁)
(y – 4) = 1(x –(–6))
(y – 4) = 1(x +6)
Define a variable and write an algebraic expression for each phrase.
two points fewer than 3 times the number of points scored before
The variable that can be used to represent the number of points scored before is x and the algebraic expression is (3x - 2).
How to write algebraic expression?Algebra refers to the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
let
Number of points scored before = x3 times the number of points scored before
= 3 × x
= 3x
two points fewer than 3 times the number of points scored before
= 3x - 2
Other examples of algebraic expression are:
2t - 5 + 3t
65x + y - 8y + 5x
In conclusion, the expression can be written in algebra form as 3x - 2
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n C (x) = 0.6x² − 168x+17,507. What is the minimum unit cost?
-
Step-by-step explanation:
Answer:
Minimum Unit Cost = $14,362
Step-by-step explanation:
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.6
b = -108
c = 19,222
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
-(-108)/2(0.6) = 108/1.2 = 90
Plugging this value into original function would give us the minimum (unit cost):
You rotate a triangle 270° counterclockwise about the origin. Then you translate its image 2 units right and 1 unit down. The vertices of the final image are (0, 2), (8,-1), and (5,-2). What are the vertices of the original triangle?
The vertices of the original triangle are:
(-3,-2) , (0,6) and (1,3)
Given,you rotate a triangle 270° counterclockwise about the origin.
Then you translate its image 2 units right and 1 unit down.
The vertices of the final image are (0, 2), (8,-1), and (5,-2).
we are asked to find the vertices of the original triangle =?
Before translating the image of final image 2 units right and 1 unit down.
the vertices of the triangle is:
(0-2,2+1) → (-2,3)
(8-2,-1+1) → (6,0)
(5-2 , -2+1) → (3,-1)
{translate the final image 2 units left, 1 unit up again}
then before rotate 270° counterclockwise.
the vertices of the triangle is:
(-2,3) → (-3,-2)
(6,0) → (0,6)
(3,-1) → (1,3)
{rotate 270° clockwise again }
Hence the vertices of the original triangle is:
(-3,-2) (0,6) and (1,3)
Hence we get the required vertices of the triangle.
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The function c represents the cost in dollars of renting a car and driving d
miles.
c(d) =0.24d + 34
What is the cost of renting the car and driving 206 miles?
Round answer to nearest cent (2 decimal places).
83.44
Answer:
$83.44=======================
GivenFunction c(d):
c(d) = 0.24d + 34Find the value of c(d) when d = 206:
c(206) = 0.24*206 + 34 = 49.44 + 34 = 83.44Answer:
Cost = $83.44
Step-by-step explanation:
The given equation is,
→ c(d) = 0.24d + 34
Now the required cost will be,
→ c(d) = 0.24d + 34
→ c(206) = 0.24(206) + 34
→ c(206) = 49.44 + 34
→ c(206) = $83.44
Hence, the cost is $83.44.
Solve the equation 7x-27<8
Answer:
x < 5
Step-by-step explanation:
What is the first step that should be taken to solve the equation 5 - 2 (1x +3) = 12.
(A) Divide both sides of the equation by 5
(B) Add 1x + 3 inside the parenthesis
(C) Distribute -2 to (1x +3)
(D) Rewrite 5 - 2 as 3
Answer:
B
Step-by-step explanation: Good luck on your test
08,
Watch help video
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
No Solutions
One Solution
5x + 4y = -3
-5x - 4y = 3 Infinitely Many Solutions
One solution: 3x- 5y = 8; 5x - 3y = 2
3x + 2y = 8; 4x +3y = 1
What are types of solution?The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.Different Approaches to Solving Linear EquationsThe set of linear equations can have one of three different sorts of solutions. As follows:Unique solutionNo soulutioninfinite Number of Solutionsacc to our question-
One solution:3x- 5y = 8; 5x - 3y = 23x + 2y = 8; 4x +3y = 1No solution:3x - 2y = 3; 6x - 4y = 13x - 4y = 2; 6x - 8y = 1Infinitely solutions:3 x - 6y = 3; 2x - 4y = 2learn more about solutions click here:
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the aquarium has 3 more yellow fish than green fish. 60% of the fish are yellow. how many green fish are in the aquarium? show your work.
The number of green fish are in the aquarium is 6.
Given that,
The aquarium has 3 more yellow fish than green fish.
60 percent of the fish are yellow.
Let us assume the green fishes be x and the yellow fishes are y.
Total no of fished = x + y.
And, y = x + 3
Based on the above information, the calculation is as follows:
Now, put y = x + 3
So,
60%(y+x)=y
[tex]\frac{60}{100}(x+3+x)=x+3[/tex]
60(2x+3)=100(x+3)
120x + 180 = 100x + 300
20x = 120
x = 6
Hence the number of green fishes are x=6
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[100 Points]'m stuck on this answer and I don't know it. So it says I need to Determine whether side-angle-angle (AAA) is a valid means for establishing triangle congruence. In this case, you know the measure of a side, an adjacent angle, and the angle opposite to the side.
Answer:
each side has to be the same for the triangle to be congruent
Answer:
In this case SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, in other words congruent. How I figured it out was by making a random triangle (ABC) then finding the lengths and angles. From there, I picked a random side (AB) and angles (A) and (B) after I transferred the information I had and put it into a new triangle. Using this formula to determine the third angle: 3rd angle (C = 45*) = 180* - angle A (45*) - angle B (90*). From there, I looked for where line (BC) and (CA) would connect. Leaving me with two congruent triangles.
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A test has 20 questions.
If Peter gets 80\%80% correct, how many questions did peter miss?
A third pistachio farm, Top Choice Farms, intends to set up shop next weekend at the Farmer’s Market. In order to immediately win over all the customers who shop there, Top Choice Farms promises their pistachios will cost 20% less than the next-cheapest farm. It will cost Top Choice Farms $125 to rent a booth at the Farmer’s Market. If Top Choice Farms sells out of their full 3,520 ounces of pistachios at their promised low, low price, how much profit will they make after paying for the Farmer’s Market booth?
Answer:
$648
Step-by-step explanation:
Valentina is cycling down a hill fast. To be most efficient, should Valentina use a gear on the back wheel that has a small diameter or a large diameter? Explain.
Valentina should use a gear on the back wheel that has larger diameter to be more efficient
Further explanations to why using larger diameterThe problem deals with circumference of the wheel.
Circumference is a function of diameter such that: A larger wheel will have a larger circumference and a smaller wheel will have a smaller circumference
The wheel is assumed to be a circle and equation of circumference of a circle is pi * diameter
Gear has the function of rotating the wheel when a gear makes a initiates one revolution of the wheel
say wheel x, diameter = 5 and wheel y, diameter = 10
distance covered by one revolution = circumference
circumference of x = pi * 5 = 5pi
circumference of y = pi * 10 = 10pi
comparing both shows that wheel y will cover double the distance of x hence more efficient.
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Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $45 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $250, how many hours did the plumber work? Write and solve an equation to determine the number of hours worked by the plumber.
I need an answer asap
Answer: 4.1 hours (4 hours and 6 minutes)
Equation: 250=50x+45
Step-by-step explanation:
The equation would be: 250=50x+45
x represents the number of hours worked
Next, solve your own equation: 250=50x+45
205=50x
4.1=x
Please help me with this distance-time graph
giving brainliest to best answer
In the velocity - time graph, the value of t is 180 seconds
Velocity -Time GraphVelocity-time graph is a plot between Velocity and Time. It shows the Motion of the object that moves in a Straight Line. Magnitude of Velocity at a given instant is equal to its Instantaneous Speed. It is drawn for 1-D motion only and can take both positive and negative values.
The formula of speed by using the distance and time represented as
speed = distance / time
In the velocity time graph, we have we walked back home at constant speed of 2m/s
This can be represented mathematically as
2 = 150 / t - 105
solve for t in the equation
150 = 2(t - 105)
150 = 2t - 210
2t = 150 + 210
2t = 360
t = 360 / 2
t = 180 seconds
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
In 2001, 150 000 students were expected to enroll at the institution.
For the 2018 academic year, 468000 students are anticipated to enroll at the
How can the population size be calculated?The size of a population refers to its total number of members. The average person count per unit of area or volume is referred to as population density.
a. The formula to solve the question is as follows:
y = 123.1(1.069)x.
Hence x is the amount of time that was passed.
2001 - 1998 = 3y = 123.1 (1.069)³y
= 123.1 x 1.2216115y = 150.4
In 2001, the school is expected to have 150000 students enrolled.
b. 2018
The distinction x, or the variation between the years we are to calculate, must be considered:
x = 2018 - 1998
= 20.y = 123.1 x (1.069)²⁰y
= 123.1 x 3.798y
= 467.5468
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A segment in the complex plane has a midpoint at â€"1 i. if the segment has an endpoint at â€"5 â€" 7i, what is the other endpoint? â€"9 â€" 15i â€"3 â€" 3i â€"2 â€" 4i 3 9i
The other midpoint is 3+9i in the given complex plane.
Given that,
We know that the middle point is: (-1+i)
And the end point is: (-5-7i)
We know that the formula to find the middle point is:
(x1+ x2 /2, z1+z2/2)
We wish to find the point x1,z1
So we can write the following equation
x1 + (-5)/2 = -1 --------> 1
and
z1 + (-7i)/2 = i ----------->2
Now we clear x1 from equation (i) and clear z1 from equation (ii)
For equation (i) we have:
-2 = x1 -5
x1 =3
For equation (ii) we have:
2i = z1 - 7i
z1 = 9i
Then the initial point is: 3+9i
So, The other endpoint is 3+9i
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2. Which of the following is the simplified form of the
expression 5(x-3)-3x+10?
F. 2x-5
G. 5x+7
H. 8x-5
J. 12x+10
K. 22x
Answer:
F is the correct answer
Step-by-step explanation:
5x-15-3x+10
2x-5
Find the residual if you know the actual number is 3 and the predicted value is 1. 6.
For the actual number 3 and the predicted value 1.6 the residual is equal to 1.4.
As given in the question,
The actual number is equal to 3
The predicted value is equal to 1.6
The residual is the difference between actual number and predicted value.
Formula for the residual is:
Residual = Actual number - Predicted value
Substitute the value of the actual number and the predicted value in the formula ,
⇒ Residual = 3 - 1.6
⇒ Residual = 1.4
Therefore, the residual for the given the actual number and the predicted value is given by 1.4.
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what is 41616125671617152751278 times a44
Answer:
1.8311095e+24
Step-by-step explanation:
41616125671617152751278 x 44 = the number above
why..
what is the answer for 1/5 (3x + 4) = 3
Answer:
11/3
Step-by-step explanation:
3x+4=15
3x=11
x=11/3
PLEASE HELP PLSSS
Given the coordinates below, determine if ΔFGH and ΔJKL are congruent. If they are, give the reason, if they aren't choose "not congruent".
F(-5, 10), G(-2, 2), H(-9, -7), J(0, -5), K(9, 2), L(-8, -2)
*enter your lengths to the NEAREST TENTH
FG=
GH=
FH=
JK=
KL=
JL=
ARE THE TRIANGLES CONGRUENT BY
SSS
SAS
OR
NOT CONGRUENT
Hence, the two triangles have the same side length so they are congurent triangles.
What is the congurency?
The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal.
Here given triangles are
In Δ[tex]FGH[/tex] and Δ[tex]JKL[/tex] are congruent. If they are, give the reason, if they aren't choose "not congruent".
[tex]F(-5, 10), G(-2, 2), H(-9, -7), J(0, -5), K(9, 2), L(-8, -2)[/tex]
We know the distance formula
ie., [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Length in between [tex]FG[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-2-(-5))^2+(2-10)^2}\\\\d=\sqrt{(-2+5)^2+(2-10)^2}\\\\d=\sqrt{(3)^2+(-8)^2}\\\\d=\sqrt{9+64}\\\\d=\sqrt{73}[/tex]
Length in between [tex]GH[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-9-(-2))^2+(-7-2)^2}\\\\d=\sqrt{(-9+2)^2+(-7-2)^2}\\\\d=\sqrt{(-7)^2+(-9)^2}\\\\d=\sqrt{49+81}\\\\d=\sqrt{130}[/tex]
Length in between [tex]HF[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-5-(-9))^2+(10-(-7))^2}\\\\d=\sqrt{(-5+9)^2+(10+7)^2}\\\\d=\sqrt{(4)^2+(17)^2}\\\\d=\sqrt{16+289}\\\\d=\sqrt{305}[/tex]
Length in between [tex]JK[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(9-0)^2+(2-(-5))^2}\\\\d=\sqrt{(9)^2+(2+5)^2}\\\\d=\sqrt{(9)^2+(7)^2}\\\\d=\sqrt{81+49}\\\\d=\sqrt{130}[/tex]
Length in between [tex]KL[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-8-9)^2+(-2-2)^2}\\\\d=\sqrt{(-8-9)^2+(-2-2)^2}\\\\d=\sqrt{(-17)^2+(-4)^2}\\\\d=\sqrt{289+16}\\\\d=\sqrt{305}[/tex]
Length in between [tex]LJ[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(0-(-8))^2+(-5-(-2))^2}\\\\d=\sqrt{(0+8)^2+(-5+2)^2}\\\\d=\sqrt{(8)^2+(-3)^2}\\\\d=\sqrt{64+9}\\\\d=\sqrt{73}[/tex]
Therefore, [tex]FG[/tex]≅[tex]LJ-GH[/tex]≅[tex]JK-HF[/tex]≅[tex]KL[/tex]
Hence, the two triangles have the same side length so they are congurent triangles.
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How do you find the mean absolute deviation on a number line?.
We can find the mean absolute deviation by the dot plot of the number line.
The mean absolute deviation is the average of all the variations in a dataset. It can be defined as a measure of finding out spread out the values of a dataset are from the mean. The mean is calculated by adding the absolute deviations and dividing the sum by the number of values in the data set.
Absolute mean deviations can be represented graphically on a number line from a dot plot. These dot plots can be used to find out the mean absolute deviation on a number line.
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In 2012 there were approximately 800 elves working at the North Pole. A survey found that 88% of these elves enjoyed their work conditions.
Answer:
704 people out of 800
Step-by-step explanation:
88% of 800= 704
What is square figure in math?.
Square is the geometrical figure with certain properties which distinguishes from other geometrical figures.
What is square ?In geometry, a square is a two-dimensional plane shape with four equal sides and four equal angles that add up to 90 degrees. The characteristics of a rectangle and a square are somewhat similar, although a rectangle only has its opposite sides equal. As a result, a rectangle is only referred to as a square if its four sides are of the same length.
Square
Number of sides = 4Number of vertices = 4Area = Side2Perimeter = 4(Side)Below is a list of a square's key characteristics:
The inner angles are all equal to 90 degrees.The square's four sides are equal to each other or congruent.The diagonals of the square cut each other at a 90° angle, and the opposite sides of the square are parallel to one another.There is an equal distance between the square's two diagonals.4 sides and 4 vertices make up the square.The square is split along its diagonal into two identical isosceles triangles.The square's sides are smaller than the diagonal lengthTo learn more about Square, visit:
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Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 37 shifts that she had a mean of 4.5 calls per shift. She knows that the population standard deviation for her shift is 1.1 calls. Jodi calculates from a random sample of 32 shifts that her mean was 5.3 calls per shift. She knows that the population standard deviation for her shift is 1.5 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.05 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places
The Test value for difference between the mean numbers of calls for the two shifts at the 0.05 level of significance is 31.94
According to the question,
Karen's data:
Sample size : n₁ = 37
Sample mean = 4.5
Sample standard deviation : s₁ = 1.1
Jodi's data ,
Sample size : n₂ = 32
Sample mean = 5.3
Sample standard deviation : s₂ = 1.5
To calculate significance difference between two means we use t-test
t = difference of mean / √(pooled variance / n₁ + n₂)
Pooled Standard deviation = [tex]\sqrt(\frac{(n_1 - 1)s_1^{2} + (n_2 - 1)s_2^{2})}{n_1 + n_2 -2}[/tex]
=> [tex]\sqrt(\frac{(37 - 1)1.21+ (32 - 1)2.25)}{37 + 32 -2}[/tex]
=> [tex]\sqrt(\frac{(43.56+ 69.75)}{67}[/tex]
=>[tex]\sqrt(\frac{(113.31)}{67}[/tex]
=> √1.6911
t = 37 - 32 / (√1.6911/37+32)
=> 5 / √0.0245
=> 31.94 is test value
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What is the area of trapezoid ABCD? A (-3,2) B (1,5) C (7,-3) D (0,-2)
The area of the given quadrilateral trapezoid ABCD with vertices A (-3,2) B (1,5) C (7,-3) D (0,-2) will be 37.5 square units.
What is quadrilateral?A quadrilateral is a geometrical 2d shape with four sides, each side being connected and making a close polygon.
In other words, a quadrilateral is a polygon in which four sides, such as a trapezoid, square, and parallelogram, are quadrilateral.
As per the given quadrilateral as trapezoid,
The area of the trapezoid = 1/2 x (sum of parallel length) x perpendicular
The given trapezoid has been drawn below,
The length associated to two points (x₁, y₁) and (x₂, y₂) is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
The smaller parallel line = 5 unit
Bigger parallel line = 10 unit
Perpendicular distance = 5 unit
Area = 1/2 x (5 + 10) x 5 = 37.5 unit square.
Hence "The area of the given quadrilateral trapezoid ABCD with vertices A (-3,2) B (1,5) C (7,-3) D (0,-2) will be 37.5 square units".
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The distance of 2 laps around a park is 2.5 miles. Walking 5 laps around the same park is 6.25 miles.
Complete the table to show the relationship between the number of laps and the number of miles. Enter the answers in the boxes.
Answer:
Each lap is 1.25 miles, so multiply the number of laps with 1.25 to get your answer.
Step-by-step explanation:
1 lap = 1.25 miles
2 laps = 2.5 miles
3 laps = 3.75 miles
4 laps = 5 miles
5 laps = 6.25 miles
6 laps = 7.5 miles
7 laps = 8.75 miles
8 laps = 10 miles
9 laps = 11.25 miles
10 laps = 12.5 miles