The nearest 10 to 11 is 10. Ten is one number less than eleven, making it the closest 10 to 11.
The nearest 10 to 11 can be found by looking at the number line. On a number line, 11 would be one number after 10, making 10 the nearest 10 to 11. 10 is the closest number to 11 because it is one number less than 11. For example, if you look at the numbers 7, 8, 9, 10, and 11, 10 is the nearest 10 to 11 since it is right before 11. To further explain, if you look at the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10 is again the nearest 10 to 11 since it is one number less than 11. As you can see, 10 is the nearest 10 to 11, making it the closest 10 to 11.
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The tree in Jane's backyard is 5 meters high. How high is it in centimeters? Be sure to include the correct unit in your answer.
Answer: The tree is 500 centimeters high
Step-by-step explanation:
miller chapter 3 probability n poker, you are dealt a hand of 5 cards out of a 52 card deck (with 4 suits and 13 cards of each suit). what is the probability that you get exactly one pair, and three other distinct numbers
The probability that you get exactly one pair, and three other distinct numbers are 271901
Since the order of distribution doesn't matter we will apply concepts of combination.
combination = nCr =n!/(r!(n-r!)
where n is the total number of objects
r is the number of chosen objects from the total.
Let us consider the pair as 1 so we have to choose 4 out of 52 cards
i.e., 52C4=52!/4!48!
= 270725
now for the pair cards, we have to choose 2 cards from 49 cards
i.e, 49c2=49!/2!47!
1176
Total ways = 1176 +270725
271901
Therefore, The probability that you get exactly one pair, and three other distinct numbers is 271901
Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!
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please hurry!!
O (-2,-5)
O (5,2)
□ (-5, -2)
□ (0, -3)
Answer:
x = -2, y = -5 and x = 5, y = 2
Step-by-step explanation:
Which is the solution to this system of equations?
(0, 3) and (4,1)
(8,1)
Sy=√9-x
x+2y=6
(4,1) and (8, 1)
(0,3)
The solution to this system of equations is (8,1).
What is equation?An equation is an expression that uses mathematical symbols to represent a relationship between two or more things. Equations are often used to solve problems, describe patterns, and make predictions. Equations can involve numbers, variables, operations, and other mathematical elements.
The solution to this system of equations can be found by solving the two equations for x and y respectively. For the first equation, we can solve for y:
y = √9 - x
For the second equation, we can solve for x:
x = 6 - 2y
Substituting the value of y from the first equation into the second equation, we find that:
6 - 2√9 - x = 0
Solving for x yields the solution:
x = 8
Substituting the value of x into the first equation, we find that:
y = 1
Therefore, the solution to this system of equations is (8,1).
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−2=
\,\,\frac{t}{-3}
−3
t
The value of the unknown variable {t} is equal to 3/4.
What are functions?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.The set X is called the domain of the function and the set Y is called the codomain of the function.Functions whose domain are the non - negative integers, known as sequences, are often defined by recurrence relations.Given a function as [tex]${\displaystyle f\colon X\to Y}[/tex] its graph is, formally, the set -[tex]${\displaystyle G=\{(x,f(x))\mid x\in X\}.}[/tex]
Given is the equation as -
- 2 = (t/3) - 3t
The given equation is -
- 2 = (t/3) - 3t
Solving further , we get -
(t/3) - 3t = - 2
t/3 - 3t = - 2
t(1/3 - 3) = - 2
t(1 - 9)/3 = - 2
-8t/3 = -2
t = 2 x 3/8
t = 3/4
Therefore, the value of the unknown variable {t} is equal to 3/4.
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Write the function x³ + 8x² + 19x + 12 in factored form knowing that one of the roots is -1.
O (x-6)(x-2)(x - 1)
O(x+3)(x + 1)(x + 4)
O(x + 1)(x + 2)(x+6)
O(x-4)(x-3)(x - 1)
The function x³ + 8x² + 19x + 12 in factored form knowing that one of the roots is -1 is (x+3)(x + 1)(x + 4).
What is the Factorization of Polynomials?The product of a polynomial's factors with degrees that are less than or equal to the original polynomial can be used to represent a polynomial. Factorization of polynomials is the technical term for the factoring process.A polynomial is factored when it is expressed as the product of two or more factors; this is somewhat the opposite of multiplying. The properties or identities, along with other methods, are typically used to factor polynomials.Given function:
x³ + 8x² + 19x + 12
One of the roots is -1 so it must satisfy the factored form of the equation in the options.
f(x) = (x+3)(x + 1)(x + 4)
This factored form satisfies when x = -1. Hence the correct factored form.
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a message in a bottle is floating on top of the ocean in a periodic manner. the time between periods of maximum heights is 24 seconds, and the average height of the bottle is 8 feet. the bottle moves in a manner such that the distance from the highest and lowest point is 4 feet. a cosine function can model the movement of the message in a bottle in relation to the height. part a: determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time, t. (5 points) part b: assuming that at t
a) The amplitude and period of the function that could model the height of the message in a bottle as a function of time, t are 2 feet and 24 seconds.
b) At t = 0, h(t) = 8 feet , the equation of the function that could represent the situation is h(t) = 2 Cos( π/12( t + 6) + 8.
We have, In a bottle a message is floating on top of the ocean in a periodic manner. The time between periods of maximum heights = 24 sec.
Average height of bottle = 8 feet
The distance from the highest and lowest point = 4 feet
The height at any movement of time can be modelled as a cosine function,
h( t) = A cos(B(t - C)) + D
Where A --> amplitude of wave function
2π/B--> periodicity
C --> phase shift ( right / left)
D --> vertical shift
a) Amplitude, A in feet is defined as the maximum height that bottle reaches from mean sea level. It is calculated by the difference between hightest and lowest point and divided by 2. In this case, the distance from the highest and lowest point is 4 feet. So, amplitude is
A = 4/2 = 2 feet .
Time period, T in seconds is the time taken by bottle to complete one cycle. In this case, it is equal to time taken to reach at maximum height. That is equals to 24 seconds.
b) Period = 2π/ B = 24 seconds , so
B = 2π/24 => B = π/12
Using the part A results, the equation of movement is, h( t) = 2 cos(π/12( t - C) + D
At t = 0 , the message in a bottle is at its average height, i.e., 8 feet and moves upwards after. This implies at t = 0 ,
h(t) = 8 feet
=> 8 = 2 cos(π/12( 0 - C)) + 8
=> 2 cos(π/12( 0 - C) )= 0
=> cos(π/12(-C) )= 0
=> cos( πC/ 12) = 0
=> πC/12 = cos⁻¹ ( 0)
=> πC/12 = π/2
=> C = 12/2 = 6
plugging all known values in cosine function equation to get required equation, h(t) = 2 Cos( π/12( t + 6) + 8
Hence, the required equation is h(t) = 2 Cos( πt/12 + π/2) + 8.
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Complete question :
A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 24 seconds, and the average height of the bottle is 8 feet. The bottle moves in a manner such that the distance from the highest and lowest point is 4 feet. A cosine function can model the movement of the message in a bottle in relation to the height.
Part A: Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time, t. (5 points)
Part B: Assuming that at t = 0 the message in a bottle is at its average height and moves upwards after, what is the equation of the function that could represent the situation? (5 points)
what is the perimeter of a shape with the dimensions 3cm 2 cm 3cm 1cm
Answer: 9cm
Step-by-step explanation:
A popular fast-food restaurant serves cheeseburgers and fries. A family meal consists of 3 cheeseburgers and 3 orders of fries for a total of 3150 calories. A deluxe family meal consists of 7 cheeseburgers and 4 orders of fries for a total of 5850 calories.
1. How many calories are in one cheeseburger?
2. How many calories are in one order of fries?
PLS ILL MARK BRAINLIEST
Taking into account the definition of a system of linear equations, there are 550 and 500 calories are in one cheeseburger and one order of fries respectively.
What is a system of linear equationsA system of linear equations is a set of linear equations, in which two or more unknowns are related.
Solving the system consists of calculating the unknowns so that all the equations of the system are fulfilled simultaneously.
Calories in one cheesesburger and in one order of friesA system of linear equations must be proposed taking into account that:
"c" is the calories in one cheeseburger."f" is the calories in one order of fries.You know:
A family meal consists of 3 cheeseburgers and 3 orders of fries for a total of 3150 calories. A deluxe family meal consists of 7 cheeseburgers and 4 orders of fries for a total of 5850 calories.The system of equations to be solved is
3c + 3f= 3150
7c + 4f= 5850
It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "c" from the first equation:
3c= 3150 - 3f
c= (3150 - 3f)÷3
c= 1050 - f
Substituting the expression in the second equation:
7×(1050 -f) + 4f= 5850
Solving:
7×1050 - 7f + 4f= 5850
7350 - 7f + 4f= 5850
- 7f + 4f= 5850 -7350
-3f= -1500
f= (-1500)÷ (-3)
f= 500
Remembering that c=1050-f, you get:
c= 1050 -500
c= 550
Finally, there are 550 calories are in one cheeseburger and 500 calories are in one order of fries.
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5-2 skills practice medians and altitudes of triangles
in PQR, NQ = 6,RK =3 and PK =4
find each measure
1 . KM
2. KQ
3. LK
4. LR
5. NK
6. PM
The measures of KM, KQ, LK, LR, NK and PM are 2, 2, 4, 4, 6 and 2 respectively.
1) KM: Since N is the midpoint of QR, we know that QN = NR, so QN + NR = QN + QN = 2QN = 26 = 12. Therefore, KM = KR - QN = (PK+KQ) - QN = 4 - 6 = -2.
2) KQ: Since PK = 4 and KM = -2, we have KQ = PK + KM = 4 + (-2) = 2.
3) LK: The median of a triangle connects a vertex to the midpoint of the opposite side, and it's length is 2/3 the length of the hypotenuse of the right triangle formed by the median and the two segments from the vertex to the endpoints of the median.
In this case, LK = (2/3)(PQ) = (2/3)(4+2) = (2/3)*6 =4
4)LR: In this case, LR = LK = 4
5) NK: NK = QN = 6
6) PM: PM = PK - KQ = 4 - 2 = 2
Please note, that in order to be able to calculate all these lengths and measures, it is assumed that the triangle PQR is a valid triangle i.e, the sum of the lengths of any two sides of the triangle is greater than the length of the third side.
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At Soap Sudz Laundromat, Bryce pays $2.50 per load of laundry. If he buys a loyalty card, he can wash 5 loads of laundry for $11.50. Which is the better
So you can find out which is better by determining the cost per unit (load) or by cost for the five loads. In this case, you can simply multiply $2.50 by the five to get $12.50. From this you can determine that the loyalty has the better price at $11.50 ($2.30 per load).
Which set of rational numbers are ordered from least to greatest?
A number line going from negative 3 to positive 3 in increments of 1.
Negative 2 and StartFraction 5 Over 6 EndFraction, negative two-thirds, 1 and StartFraction 1 Over 6 EndFraction, 1 and StartFraction 5 Over 6 EndFraction
1 and StartFraction 5 Over 6 EndFraction, 1 and StartFraction 1 Over 6 EndFraction, negative two-thirds, negative 2 and StartFraction 5 Over 6 EndFraction
Negative two-thirds, 1 and one-sixth, 1 and StartFraction 5 Over 6 EndFraction, negative 2 and StartFraction 5 Over 6 EndFraction
Negative 2 and StartFraction 5 Over 6 EndFraction, 1 and StartFraction 5 Over 6 EndFraction, 1 and one-sixth, negative two-thirds
The fraction with the greatest value is 5/6;
How to determine the greatest fraction?Fractions are numbers that are represented by the quotients of two integers. Suppose the fraction is proper (the numerator is smaller than the denominator).
Let it be
[tex]\dfrac{a}{b}[/tex]
Then, we can interpret it as:
[tex]\dfrac{a}{b}[/tex] = a parts out of b parts of a thing.
Given fractions are as follows;
1/6, 5/6, -1/6 and -5/6
Negative numbers are less than positive numbers.
So, the remaining fractions are;
1/6 and 5/6
Both fractions have the same denominator.
So, we consider the numerator
5 is greater than 1;
Therefore, the fraction with the greatest value will be 5/6
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Deondra is going to invest $90,000 and leave it in an account for 15 years. Assuming the interest is compounded monthly, what interest rate, to the nearest hundredth of a percent, would be required in order for Deondra to end up with $201,000?
The rate of interest be required in order for Deondra to end up with $201,000 is 14.88%
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Deondra is going to invest $90,000 and leave it in an account for 15 years.
We have o find the interest rate, to the nearest hundredth of a percent, would be required in order for Deondra to end up with $201,000
A=PRT
201000=90000×R×15
201000=1350000R
Divide both sides by 1350000
R=0.1488×100
R=14.88
Hence, the rate of interest be required in order for Deondra to end up with $201,000 is 14.88%
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Find the 100th term in the following
arithmetic sequence:
-10, -15, -20, -25, . . .
Hint: Write a formula to help you.
1st term + common difference (desired term – 1)
The 100th term in the given Arithmetic sequence is - 505
Arithmetic sequence:The series where the common difference between any two next terms stays constant is known as an arithmetic sequence.
It is a collection of numbers or integers that follow a pattern called a sequence. It is also defined as "every term in a sequence is obtained by adding or subtracting a fixed integer"
The formula for the common difference is given by
Common difference, d = Term2 - Term1
The nth term in AP, T[tex]_{n}[/tex] = a + (n-1)d
Here we have
Arithmetic sequence -10, -15, -20, -25, . . .
Here common difference, d = Term2 - Term1
=> -15 - (-10) = -15 + 10 = -5
As we know,
nth term in AP = a + (n-1)d
100th term in AP = -10 + (100 - 1)(-5)
= - 10 + (99)(-5)
= -10 - 495
= - 505
Therefore,
The 100th term in the given Arithmetic sequence is - 505
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The 100th term of the sequence is -505
The first term of the sequence is -10, and the common difference is -5. We can use the formula: to determine the 100th term.
nth term = a + (n-1)d
Where:
a = first term = -10
n = desired term = 100
d = common difference = -5
Plugging in these values, we get:
nth term = -10 + (-5)(100 - 1)
nth term = -10 + (-5)(99)
nth term = -10 -495
nth term = -505
Therefore, the 100th term of the sequence is -505
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A rectangular window has a length of 12 ft and a width of x ft. Which expression represents the area of the window?
Answer: 12x ft
Step-by-step explanation:
12 times x
. .
ω
A fruit stand sells red and green apples each type of Apple comes in packages of 10 apples and packages of one apple Carl Buys four packages of red apples and three packages of green apples can you tell if Carl has more red apples or green apples
Carl, who purchased four packages, has more red apples than green apples.
A fruit stand sells red and green apples each type of Apple comes in packages of 10 apples and packages of one apple Carl Buys four packages of red apples and three packages of green apples.
Carl purchased four packages of red apples and three packages of green apples. Each package of red apples contains 10 apples, so Carl has 40 red apples.
Each package of green apples also contains 10 apples, so Carl has 30 green apples. 40 red apples are greater than 30 green apples, so Carl has more red apples than green apples.
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What is the equation of line passing through origin class 9?
The equation of the line passing through the origin is given by y = mx where m is the slope of the line.
As given in the question,
Let us consider equation of the line passing through two coordinates
( x₁ , y₁ ) and ( x₂ , y₂).
Standard form of the equation of the line is equal to:
( y - y₁ ) / ( x - x₁ ) = ( y₂ - y₁ ) / ( x₂ - x₁ )
Where slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
⇒( y - y₁ ) / ( x - x₁ ) = m
Now line passing through origin that is ( x₁ , y₁ ) = ( 0, 0 ) gives
⇒ ( y - 0 ) / ( x - 0 ) = m
⇒ y / x = m
⇒ y = mx
Therefore, the equation of the line passing through origin is equal to y = mx where slope m = ( y₂ - y₁ ) / ( x₂ - x₁ ).
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Is Y =- 2x 5 linear?
The given equation y = -2x + 5 is a linear equation.
The given equation is:
y = -2x + 5
We observe the highest degree of x in a given equation to know whether it is a linear equation or not.
We know that if the highest degree of x in an equation is 1 then it is a linear equation else its a quadratic or non - linear equation.
In the given equation the highest degree of x is 1, hence it is a linear equation.
We can also check the same by graphing the equation.
If the graph of the given equation is a straight line then it is said to be a linear equation. The graph of this equation is also a straight line.
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426 divided by 2 using partial quotients method
Answer:
Step-by-step explanation:
213
A recent study investigated the amount of battery life remaining in alkaline
batteries of different ages. The scatter-plot shows this relationship between the
different alkaline batteries tested. Describe the meaning of the point (7, 15) in this
situation
The meaning of the point ( 7 ,15 ) in the given scatter-plot which represents the amount of battery life and the age of battery is given by :
Option C. Point ( 7,15 ) represents a 7 year old battery has 15 hours of battery life remaining.
As given in the question,
Scatter-plot is attached.
Given scatter-plot represents ,
x-axis represents age of battery in years and y - axis represents battery life in hours.
Meaning of the given point ( 7 , 15 ) is as follow :
Coordinate 7 belongs to x-axis
7 represents battery is 7 years old.
Coordinate 15 belongs to y - axis.
15 represents the 15 hours battery life remaining.
Therefore, point ( 7, 15 ) in the scatter-plot represented by :
Option C. Point ( 7,15 ) represents a 7 year old battery has 15 hours of battery life remaining.
The above question is incomplete, the complete question is :
A recent study investigated the amount of battery life remaining in alkaline
batteries of different ages. The scatter-plot shows this relationship between the different alkaline batteries tested. Describe the meaning of the point (7, 15) in this situation?
Scatterplot is attached.
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Which statement about resonance is correct?
Responses
Resonance causes the amplitude of vibrations to increase.
Resonance causes the amplitude of vibrations to decrease.
Resonance does not affect the amplitude of vibrations.
Resonance causes frequency to increase.
Resonance causes the amplitude of vibrations to increase.
This statement is correct because resonance is the phenomenon that occurs when an object is vibrating at its natural frequency and it is in phase with an external force, such as a sound wave. When this happens, the amplitude of the vibrations increases and the object can reach a large amplitude of oscillation. Resonance can be observed in many physical systems such as bridges, musical instruments, mechanical systems and electrical circuits.
I hope this helps :)
Deandre bought 5 boxes of chocolates. Each box cost $8.53. How much did he spend?
Answer: $42.65
Step-by-step explanation: multiply
$8.63 by 5
Answer:
42.65$
Hope this helps!
Step-by-step explanation:
1 box = 8.53
5 boxes = 8.53 * 5
8.53 * 5 = 42.65
Which of the following methods can be used in solving quadratic equation of the form ax²+bx+c=0?
The two real solutions to this quadratic equation are -2 and 3/2.
The Quadratic Formula is the most popular method for solving quadratic equations of the form ax²+bx+c=0. It is derived from the quadratic equation which states that if a, b, and c are real numbers, and a is not equal to zero, then the roots of the quadratic equation ax²+bx+c=0 can be determined by the following equation:
x = (-b ± √(b² - 4ac))/(2a)
The quadratic formula can be used to solve for the two real solutions of any quadratic equation. It works by determining the discriminant, which is the number under the square root in the equation. The discriminant is calculated by subtracting 4ac from b². The ± symbol indicates that there are two solutions, one with the plus sign and one with the minus sign.
For example, if we have a quadratic equation 2x²+5x-3=0, the discriminant can be calculated as follows:
b² - 4ac = (5)² - 4(2)(-3) = 25 + 24 = 49
The two solutions can then be found using the formula:
x = (-5 ± √49)/(2(2))
x = (-5 ± 7)/(4)
x = -2 or 3/2
Therefore, the two real solutions to this quadratic equation are -2 and 3/2.
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Complete question:
Which of the following methods can be used in solving quadratic equation of the form ax²+bx+c=0?
A) Factoring
B) Completing the Square
C) Quadratic Formula
D) Graphing
One fourth of blank is equal to 3
Answer: x=12
Step-by-step explanation:
The question: 1/4 of ___ = 3
Let's start solving it.
First, let's set ___ as x and rewrite the equation.
1/4 of x = 3
Now, when you say 1/4 of x, you mean that you multiply x by 1/4.
So the equation is:
1/4*x=3
Finally, multiply both sides by 4.
Answer: x = 12
Jasmine sleeps for an average of 6 hours each day. If Jasmine sleeps for 1/3 amount of time
that her cat sleeps each day, which of the following equations can be used to find a, the number
of hours Jasmine's cat sleeps each day?
Answer:
a/3 = 6
Step-by-step explanation:
i don't see any equations to choose from
however, if 'a' represents the number of hours the cat sleeps then this equation would work:
1/3a = 6
or a/3 = 6
in this case, 'a' would equal 18
does someone mind helping me with this problem? Thank you!
Answer:
(3,-5)
Step-by-step explanation:
Start by multiplying the bottom equation by 2
2(-2y+2x=16)= -4y+4x=32
now when adding the y cancels out leaving you with:
5x=15
x=3
now plug the 3 into the first equation, and subtract it from both sides so
4y=-20
y=-5
which best explains the formula? the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
θ = l/r where (θ is in radian)
A central angle is an angle whose legs (sides) are radii intersecting the circle at two different places, A and B, and whose apex (vertex) is the centre O of a circle. An arc between those two locations subtends central angles, and the central angle of a circle with radius one is the length of the arc (measured in radians).
Area of Sector = θ/360 x πr²
The piece of a disc (a closed region defined by a circle) enclosed by two radii and an arc is known as a circular sector, also known as a circle sector or a disc sector. The smaller area is known as the minor sector, and the larger area is known as the major sector.
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A construction manager needs 12 workers to complete a building project in 54 days. If the building project needs to be completed in 36 days how many more workers does the construction manager need to complete the project
The construction manager will need 6 more workers to complete the project
How to determine how many more workers the construction manager need to complete the project?To determine how many more workers are needed to complete the project in 36 days, the construction manager would need to determine the rate of work per worker and then calculate how many more workers are needed to achieve the desired rate.
If 12 workers to complete a building project in 54 days. Then 1 work will complete work in:
12 × 54 days = 648 days /worker
If the building project needs to be completed in 36 days, you need:
648 / 36 = 18 workers
Number of workers left = 18 - 12 = 6 workers
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Liliana is planning to exhibit paintings at her local library. She has 10 paintings already made, and she can make 4 new paintings in a day. If she knows that she wants to have more than 26 paintings for the exhibition, select the inequality that can help Liliana determine how many days she will need to paint, and then answer the question below.
Which of the following possible numbers of workdays will allow Liliana to prepare enough paintings for the exhibit?
Select all that are true.
4 days
10 days
5 days
8 days
The number of workdays that will allow Liliana to prepare enough paintings for the exhibit are 10 days, 5 days and 8 days (2nd - 4th option).
How many days would be enough to allow Liliana prepare for the exhibition?The first step is to determine the inequality sign that would be used in the inequality that represents the information in the question.
Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe form of the equation is:
number of painting already made + (new paintings per day x number of days) > 26
10 + (4 x n) > 26
10 + 4n > 26
4n > 26 - 10
4n > 16
n > 16 / 4
n > 4
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PLEASE HELP AND SHOW WORK PLEASEEE!!!!!
An odometer shows that a car has traveled 41,000 miles by January 1, 2020. The car travels 19,000 miles each year. Write an
equation that represents the number y of miles on the car's odometer x years after 2020.
y =
Answer:
The odometer shows that the car has traveled 41,000 miles by January 1, 2020, so we can use this as the starting point (x = 0) for our equation. We also know that the car travels 19,000 miles each year.
We can use this information to write an equation for the number of miles on the car's odometer x years after 2020.
The equation would be : y = 41,000 + (19,000 * x)
Where y represents the number of miles on the car's odometer and x represents the number of years after 2020.
The y is the number of miles at the odometer and x is the number of years passed from 2020.
This equation gives the number of miles on the car's odometer x years after 2020, whenever we have to know the number of miles on the odometer we just need to plug in the number of years passed in the equation.