The percentage of cars traveling east is 28% of the total number of cars.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The commission counted 486 cars traveling east and 189 cars traveling west.
We know percentage change we'll divide the net amount change by the original amount and multiply it by 100%.
From this concept, the percentage of the cars were traveling east would be
The cars traveling east divided by the total numbers of cars time s100%.
= (189/486 + 189)×100%.
= (189/675)×100%.
= 0.28×100%.
= 28%.
So, 28% of the total cars traveling east.
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A jar contains $1.70 in ckels, dimes and quarter. There are twenty coins in all with twice as amny nickels as dimes. How many nickels are there in the jar
American nickels are issued as currency. A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).
How to find the calculation?A dime is worth ten cents and a nickel five cents. In other words, one dime is equivalent to two nickels.
In light of this, we might state that a nickel is worth half what a dime is worth.
Despite having a higher value than a nickel, the dime is smaller.
n + d = 22 <— d = 22-n
Amount in pennies: 5n + 10d = 170
5n + 10(22 - n) = 170
5n + 220 - 10n = 170
220 - 5n = 170
220 - 170 - 5n = 0
50 - 5n = 0
50 = 5n
n = 10
A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).
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What is the solution of the equation 2x y 4 and 3x 2y =- 1?
The solution of the equation 2x+y=4 and 3x-2y=-1 is the value of x = 1, while the value of y = 2
We have, the sets of equations as:
2x+y=4 and 3x-2y=-1?
As here, let 2x+y = 4 ----(i) and 3x-2y = -1 ----(ii)
As here to solve the value of x and y we will first equalise the co-efficient of x.
Here, the co-efficient of x in the first equation is 2, while in the second equation it is 3
So, for equalising, we will first multiply the first equation by 3 and the second by 2,
Thus, we will get it as:
6x+3y=12 ----(iii)
6x-4y=-2----(iv)
Now subtracting (iv) from (iii)
We will get,
7y = 14
=>y=2
Putting the value of y in (i),
2x=4-y = 4-2 =2
=>x = (2/2)=1
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The complete question may be like:
What is the solution of the equations 2x+y=4 and 3x-2y=-1?
4. Clare is paid $90 for 5 hours of work. At this rate, how many seconds does it take care to earn 25 cents?
5. A car that travels 20 miles in 1/2 hour at consent speed travels at the same rate as a car that travels 30 miles in 3/4 hour at a constant speed.
6. Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line. complete the diagram to show smaller and larger batches that would taste the same as lin's favorite blend.
Albert is a marine biologist studying the bluefin tuna population in Caro Bay. When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay. One year later, he estimated that the population of bluefin tuna had decreased to about 1,488. Albert expects the population of bluefin tuna to continue decreasing each year.
Write an exponential equation in the form y=a(b)x that can model the population of bluefin tuna in Caro Bay, y, x years after Albert began monitoring it.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
The exponential function that models the population of bluefin tuna after x years is given as follows:
y = 1550(0.96)^x.
The parameters of the exponential function are given as follows:
a = 1550.b = 0.96.How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x.
For which the parameters are given as follows:
a is the initial value.b is the rate of change.When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay, meaning that the parameter a is given as follows:
a = 1550.
One year later, he estimated that the population of bluefin tuna had decreased to about 1,488, hence the parameter b is obtained as follows:
b = 1488/1550 = 0.96.
Hence the function is defined as follows:
y = 1550(0.96)^x.
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Calculate the area of a rectangle with the base of 12 feet and height of 3 feet.
(I need the answer as fast as possible so if anybody could help that would be greatly appreciated)
A: 9 square feet
B: 15 square feet
C: 30 square feet
D: 36 square feet
Set builder notation integers between 7 and 50
Answer:
[tex]\{x|x\in \mathbb{Z}, 7 < x < 50\}[/tex]
Step-by-step explanation:
Basically, the above answer tells us that the set of all x such that x belongs to Z, the set of integers, and x is between 7 and 50.
11. - a? - 2bc - Icl
if a = -2, b = 3,
and c = -3
problem in the photo
algebra
The value of expression - a² - 2bc - |c| if a = -2, b = 3, and c = -3, is 11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
Given:
- a² - 2bc - |c|, a = -2, b = 3, and c = -3,
Plug the values of a, b, and c as shown below,
- a² - 2bc - |c| = -(-2)² - 2 × (3) × (-3) - |-3|
- a² - 2bc - |c| = - 4 - 6 × (-3) - 3
- a² - 2bc - |c| = -4 + 18 - 3
- a² - 2bc - |c| = 18 - 7
- a² - 2bc - |c| = 11
Thus, the value of the expression is 11.
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HELP !!!
write days in May and days in a year as a ratio
The ratio of days in May and days in a year is 31 to 365 or 31:365
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We need to find the days in May and days in a year as a ratio
Therefore, Days in may = 31
Days in a year = 365
Thus, the expected ratio = 31/365
Or
31:365
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Big Ideas:
Explain your reasoning.
Answer:
Stretch the graph of f(x) = x + 3 vertically by a factor of 2.
The "same" transformations result in f(x) = 2x + 5
The "different" transformation results in f(x) = 2x + 6
Step-by-step explanation:
Transformation Rules
[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]
[tex]a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}[/tex]
[tex]f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}[/tex]
Carry out the given transformations.
Given function:
[tex]f(x) = 2x + 3[/tex]
Translation of 2 units up:
[tex]\begin{aligned}\implies f(x) + 2&= 2x + 3 + 2\\&=2x+5\end{aligned}[/tex]
Given function:
[tex]f(x) =x + 3[/tex]
Vertical stretch by a factor of 2:
[tex]\begin{aligned}\implies 2f(x)&=2(x+3)\\&=2x+6\end{aligned}[/tex]
Given function:
[tex]f(x) = x + 5[/tex]
Horizontal shrink by a factor of 1/2:
[tex]\implies f\left(\dfrac{1}{\frac{1}{2}}x\right)=f(2x)=2x+5[/tex]
Given function:
[tex]f(x) = 2x + 3[/tex]
Translation of 1 unit left:
[tex]\begin{aligned}\implies f(x+1) &= 2(x+1) + 3\\&=2x+5\end{aligned}[/tex]
Three of the transformations result in the same function f(x) = 2 + 5.
Therefore, the transformation that does not belong with the other three is:
Stretch the graph of f(x) = x + 3 vertically by a factor of 2.The day before Gerardo returned from a two-week trip, he wondered if he left his plants inside his apartment or outside
on his deck. He knows these facts:
• If his plants are indoors, he must water them at least once a week or they will die.
• If he leaves his plants outdoors and it rains, then he does not have to water them. Otherwise, he must water them at
least once a week or they will die.
. It has not rained in his town for 2 weeks.
When Gerardo returns, will his plants be dead? Explain your reasoning.
If his plants are indoors, he must water them at least once a week or they will die.
What would you say about an indoor plant?A houseplant is an attractive plant that is cultivated indoors. It is sometimes referred to as a potted plant, potted plant, or an indoor plant. As a result, they are typically seen for ornamental reasons in settings like homes and businesses.Not only do indoor plants improve a room's overall beauty, but studies have also shown that they improve emotions, promote creativity, lower stress levels, and remove air pollutants, all of which contribute to a happier and healthier you. Indoor plants may improve our mood in addition to improving their appearance.If his plants are indoors, he must water them at least once a week or they will die.To learn more about houseplant refer to:
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Maisie walked for 4 hours at an average speed of
1.6 miles per hour (mph).
How many miles did Maisie walk?
If your answer is a decimal, give it to 1 d.p.
Answer: Maisie walked 6.4 miles.
Step-by-step explanation:
Since Maisie is walking at a constant pace of 1.6 miles per hour we can set up the following equation:
y = 1.6(x)
In this equation, Y is the number of miles Maisie walked in total and X is the number of hours she walked. All we have to do is plug in 4 hours as x and solve.
y = 1.6(4)
y = 6.4 miles.
Nathan had 58 pieces of gum that he wants to make last six days how much can he chew each day so that the gum last him six days between what two whole numbers does your answer lie
Natha can chew between 9 to 10 chewing gum each day so that it could last for 6 days.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Nathan had 58 pieces of gum that he wants to make last six days.
Therefore, The number of chewing gums he can chew is the total number of chewing gums he has divided by the total number of days which is,
= (58/6).
= 9.66 chewing gums but it should be a whole number.
So, Nathan can chew between 9 to 10 chewing gums each day.
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Can 123 make a triangle?
No, 1, 2, and 3 are not valid side lengths for a triangle. So 1, 2 and 3 cannot make a triangle.
In order for a shape to be a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.
3 + 2 = 5 > 1
3 + 1 = 4 > 2
1 + 2 = 3 not greater than 3
So as 1 + 2 not greater than 3, these set of side lengths does not follow the theorem. Thus a triangle cannot be formed with sides of length 1, 2, and 3.
--The question is incomplete, answering to the question below--
" Can 1, 2 and 3 make the sides of a triangle?"
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Multiply = 4/7 x 5 1/4
please help me
Answer:
3
Step-by-step explanation:
[tex]\displaystyle \frac{4}{7}*5\frac{1}{4}=\frac{4}{7}*\frac{21}{4}=\frac{21}{7}=3[/tex]
solve x^2-4x=0 by factoring
[tex]\huge\text{Hey there!}}[/tex]
[tex]\mathsf{x^2 - 4x = 0}[/tex]
[tex]\text{Factor the LEFT side of your given equation to make it easier to solve}[/tex]
[tex]\mathsf{x(x - 4) = 0}[/tex]
[tex]\text{Set the factors to equal to the number 0}[/tex]
[tex]\mathsf{x - 4 = 0\ \& \ x = 0}[/tex]
[tex]\text{Simplify find and you should be able to have your answer to the given equation}[/tex]
[tex]\mathsf{x = 4 \ \& \ x = 0}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = 4\ or \ x = 0}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Find the measure of angle A.
110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3
Answer:
[tex]80^{\circ}[/tex]
Step-by-Step Explanation:
The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]
So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].
A semi-circular protractor has a diameter of 15 cm.
Calculate the perimeter of the protractor.
Give your answer to a suitable degree of accuracy
A semi-circular protractor with a diameter of 15 cm has the perimeter of 38.5 cm.
What is the perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.
The formula for perimeter of a semi-circle is -
πr+2r
Where r is the radius of the semi-circle.
The diameter d of semi-circle is 15 cm.
The radius of the semi-circle is -
r=d/2
r=15/2
r=7.5 cm
Plugging the values in the equation -
=πr+2r
=(3.14)(7.5)+2(7.5)
=23.5+15
=38.5 cm
Therefore, the value for perimeter is obtained as 38.5 cm.
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Find the measure of the missing angle? please help :)
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
The measure of the angle ∠SUT is calculated as,
∠SUT + ∠UTS = ∠JST
∠SUT + 80° = 110°
∠SUT = 110° - 80°
∠SUT = 30°
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
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What is the rule for quadrant 4?
All points in Quadrant IV have a positive x-coordinate and a negative y-coordinate.
The fourth quadrant, indicated as Quadrant IV, is in the bottom right quadrant. The x-axis in this quadrant has positive values, whereas the y-axis has negative numbers.
A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is limited by two half-axes. These are frequently numbered from first to fourth.
A quarter of a circle; a 90° arc. the region enclosed by an arc and two radii are drawn one to each extreme. As a mechanical component, anything is shaped like a quarter of a circle.
All Quadrant I points have two positive coordinates.
Quadrant II points all have a negative x-coordinate and a positive y-coordinate.
All Quadrant III locations have two negative coordinates.
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If m= 2, n=3, and p= -1, then find the value of : 2mn4 – 15m2n + p
In Full Details!! As Soon As Possible
Answer:
-131
Step-by-step explanation:
2×2×3×4-15×2×2×3+-1
48-179
=-131
Melissa wants to check the accuracy of the finance charge on her loan. She has a $6,000, 4-year loan at an APR of 3.11%. What is her monthly payment? Round to the nearest cent.
Answer: $133.10.
Step-by-step explanation:
Answer:
To calculate the monthly payment for a loan, you can use the following formula:
Monthly payment = (APR/12) * loan amount / (1 - (1 + APR/12)^(-number of payments))
In this case, the loan amount is $6,000, the APR is 3.11%, and the loan is for 4 years, or 48 months. Plugging these values into the formula, we have:
Monthly payment = (0.0311/12) * $6,000 / (1 - (1 + 0.0311/12)^(-48))
Calculating, we find that the monthly payment is approximately $147.26. Rounded to the nearest cent, the monthly payment is $147.26.
Step-by-step explanation:
The tape diagram shows that Shanice spent 120 minutes researching for debate club last week, what percentage would 110% be out of 120mins ??
Answer: 110% of 120 minutes is equal to 132 minutes.
Step-by-step explanation:
To calculate percentiles:
Put in the number that you are trying to find the percentage of (120 in this case) in the calculator.Take the percentile (110% in this case) and divide it by 100.Take your new percentile number and multiply your decimal numberThe answer in the calculator is the answer to your percentile question.
Victor has a circular clock in his room. The long hand of the clock is the radius with a measure of 6 centimeters. The approximate circumference of the face of the clock is 37.68 centimeters. Which expression best represents the value of π ? Responses 37.686⋅6
The expression that best represents the value of π is 37.68 / 12.
What is the expression for π?The circumference of a circle is the distance round the circle. The radius of a circle is the distance from the center of the circle to any point on the circumference.
The formula for circumference of a circle = 2πr
Where:
π = pi
r = radius
π = circumference / 2r
π = 37.68 / (2 x 6)
π = 37.68 / 12
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An arithmetic sequence begins with 56, 59, 62, 65, 68, ...
Which option below represents the formula for the sequence?
O f(n) = 56 + 3(n − 1)
-
Of(n) = 53+ 3(n-1)
O f(n) = 56 + 3(n)
Of(n) = 53 + 3(n + 1)
f(n) = 56 + 3(n − 1) is the correct option represents the formula for the sequence.
What is an arithmetic sequence?In arithmetic sequences, each term is made larger by the addition or removal of a constant called k. Unlike a geometric sequence, where each term increases by being multiplied by or divided by a fixed constant k,
If there is a consistent difference between the words in a sequence of numbers, the sequence is referred to as an arithmetic progression. Think about the mathematical progression where the numbers 5, 7, 9, 11, 13, and so on all have a common difference of 2.
An is defined as a1 + d(n - 1), where d is the average difference between terms in the series, and a1 is the first term.
Given data :
This is the formula of an arithmetic sequence.
f(n) = a1 + d(n - 1)
An arithmetic sequence begins with 56, 59, 62, 65, 68,
= = 56.
d = 59 - 56 = 3
so the formula is f(n) = 56 + 3(n − 1)
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Help me with this problem - find y
[tex]y + 25 = 625 \div 25[/tex]
Answer:
[tex]y=0[/tex]
Step-by-step explanation:
[tex]y+25=25 \\ \\ y=25-25 \\ \\ y=0[/tex]
Answer:
[tex] \sf \: y = 0[/tex]
Step-by-step explanation:
Given equation,
→ y + 25 = 625 ÷ 25
Now the value of y will be,
→ y + 25 = 625 ÷ 25
→ y + 25 = 25
→ y = 25 - 25
→ [ y = 0 ]
Hence, the value of y is 0.
Using a number line, find both the intersection and the union of the following
intervals:
[1, 5] and (0,8]
pls help !
Answer:
The union of the intervals is (0,8]
The intersection of the intervals is [1,5]
Hope this helped!
Is 5x 3y a linear equation in two variables?
Yes, 5x - 3y = 7 is a linear equation in two variables (x and y)
A linear equation in two variables is an equation in the form ax + by = c, where a, b, and c are real numbers and a and b are not both 0. In this equation, 5x 3y, the coefficients of the variables are 5 and 3, respectively, so a = 5 and b = 3. Therefore, 5x 3y is a linear equation in two variables.
A linear equation in two variables (x and y) is an equation that can be written in the form ax + by = c, where a and b are real numbers and a and b are not both 0. This means that any equation that has two variables with real coefficients will be a linear equation. For example, 5x 3y is a linear equation in two variables because the coefficients of the variables x and y are 5 and 3, respectively. Therefore, 5x 3y is a linear equation in two variables.
the complete question is : Is 5x-3y=7 a linear equation in one variable?
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would anyone know the answer to this?
Answer: The mystery number is 5.5
5.5 converts to the fraction 11/2.
=================================================
Explanation:
The phrasing "subtract 10 from the number, then square the result" leads to the expression [tex](\text{x}-10)^2[/tex]
The phrasing "Square the number, then subtract 10 from the result" means we have [tex]\text{x}^2-10[/tex]
Set those expressions equal to one another so we can solve for x like shown in the steps below.
[tex](\text{x}-10)^2 = \text{x}^2-10\\\\\text{x}^2-20\text{x}+100 = \text{x}^2-10\\\\-20\text{x}+100 = -10\\\\-20\text{x} = -10-100\\\\\text{x} = -110/(-20)\\\\\text{x}=11/2\\\\\text{x} = 5.5[/tex]
The x^2 terms cancel out in the third step (since we subtract x^2 from both sides).
--------------
Check:
[tex](\text{x}-10)^2 = \text{x}^2-10\\\\(5.5-10)^2 = (5.5)^2-10\\\\(-4.5)^2 = (5.5)^2-10\\\\20.25 = 30.25-10\\\\20.25 = 20.25[/tex]
The answer is confirmed.
This is a two part question and it would really help me if you could solve both! :)
[tex]\displaystyle\\Answer:\ none \ of\ these\ (m=-\frac{5}{3} );\ isosceles,\ right[/tex]
Step-by-step explanation:
1.
a) find the midpoint G of the side DE:
[tex]x_D=-2\ \ \ \ x_E=3\ \ \ \ y_D=-2\ \ \ \ y_E=1[/tex]
[tex]\displaystyle\\x_G=\frac{x_D+x_E}{2} \\\\x_G=\frac{-2+3}{2}\\\\x_G=\frac{1}{2}\\\\x_G=0.5[/tex]
[tex]\displaystyle\\y_G=\frac{y_D+y_E}{2}\\\\y_G=\frac{-2+1}{2} \\\\y_G=\frac{-1}{2} \\\\y_G=-0.5\\\\Thus,\ G(0.5,-0.5)[/tex]
b) find the midpoint I of the side DF:
[tex]x_D=-2\ \ \ \ x_F=6\ \ \ \ y_D=-2\ \ \ \ y_F=-4[/tex]
[tex]\displaystyle\\x_I=\frac{x_D+x_F}{2} \\\\x_I=\frac{-2+6}{2} \\\\x_I=\frac{4}{2} \\\\x_I=2[/tex]
[tex]\displaystyle\\y_I=\frac{y_D+y_F}{2}\\\\y_I=\frac{-2+(-4)}{2}\\\\y_I=\frac{-6}{2} \\\\y_I=-3\\\\Thus,\ I(2,-3)[/tex]
c) the slope of GI:
[tex]x_G=0.5\ \ \ \ x_I=2\ \ \ \ y_G=-0.5\ \ \ \ y_I=-3[/tex]
[tex]\displaystyle\\m_{GI}=\frac{y_I-y_G}{x_I-x_G} \\\\m_{GI}=\frac{-3-(-0.5)}{2-0.5} \\\\m_{GI}=\frac{-3+0.5}{1.5} \\\\m_{GI}=\frac{-2.5}{1.5} \\\\m_{GI}=\frac{-2.5(2)}{1.5(2)} \\\\m_{GI}=-\frac{5}{3}[/tex]
2.
Type of Δ DEF:
a) find the length of the side DE:
[tex]|DE|=\sqrt{(3-(-2)^2+(1-(-2)^2}\\\\|DE|=\sqrt{(3+2)^2+(1+2)^2} \\\\|DE|=\sqrt{5^2+3^2}\\\\|DE|=\sqrt{25+9} \\\\|DE|=\sqrt{34} \ units[/tex]
b) find the length of the side EF:
[tex]|EF|=\sqrt{(6-3)^2+(-4-1)^2}\\\\|EF|=\sqrt{3^2+(-5)^2}\\\\ |EF|=\sqrt{9+25} \\\\|EF|=\sqrt{34}\ units[/tex]
Hence, DE=EF
c) find the m∠DEF:
[tex]\displaystyle\\cos \angle E=\frac{\overrightarrow {DE}+\overrightarrow {EF}}{|DE|*|EF|} \\\\[/tex]
Find the coordinates of the vector by the coordinates of its beginning and end points:
[tex]\displaystyle\\\overrightarrow {DE}=(x_E-x_D,y_E-y_D)\\\\\overrightarrow {DE}=(3-(-2),1-(-2))\\\\\overrightarrow {DE}=(5,3)\\\\\overrightarrow {EF}=(x_F-x_E,y_F-y_E)\\\\\overrightarrow {EF}=(6-3),-5-1)\\\\\overrightarrow {EF}=(3,-5)\\Hence,\\\\cos\angle E=\frac{5*3+3*(-5)}{\sqrt{34}*\sqrt{34} } \\\\cos\angle E=\frac{15-15}{34 }\\\\cos\angle E=\frac{0}{34 }\\\\cos\angle E=0\\\\m\angle E=90^0[/tex]
In Duck Creek, a bicycle license plate consists of one letter followed by one digit; for example, $Q7$ or $J1$. How many different license plates are possible
On solving the provided question, we can say that by permutation 26 possible letters x 10 possible digits = 260 possible plates
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of
26 possible letters x 10 possible digits =
26 x 10 =
260 possible plates
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