A license plate is to have the following form: 4 letters followed by 4 numbers. How many different license plates can be made, assuming that letters and numbers can be reused?
The number of different license plates that can be made will be 260⁴.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A license plate is to have the following form: 4 letters followed by 4 numbers.
We know that the total number of letters will be 26 (A to Z) and the total basic numbers will be 10 (0, 1, ..., 9).
The number of different license plates that can be made will be
⇒ 26 x 26 x 26 x 26 x 10 x 10 x 10 x 10
⇒ 26⁴ x 10⁴
⇒ (26 x 10)⁴
⇒ 260⁴
The number of different license plates that can be made will be 260⁴.
More about the permutation and the combination link is given below.
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A grocery store sells steak for $6.10 per pound. What would be the cost of 2 3/5
lb of steak?
Answer: The answer is $15.86
Step-by-step explanation: You would change 6.10 into a fraction, which is 61/10. Then you would mulitply that and that number as a decimal would be 15.86.
Answer:
$15.86
Step-by-step explanation:
You divide 6.10 by 5 and you get 1.22 then u multiply 1.22 by 3 and you get 3.66 and add 6.10 and 6.10 and 3.66 to get your answer.
Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement. (make a good explanation plz)
Answer:
He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.
Answer:
The definition of relatively prime is two numbers with a GCF of 1.The numbers 38 and 40 are not relatively prime.
Step-by-step explanation:
what is the rule that describes this pattern of numbers -10,000; -1,000; -100; -10; -1; -0.1; -0.01; -0.001
Each number is one-tenth the number to its left.
Each number is 10 more than the number to its left.
Each number is 10 times the number to its left.
Each number is one-tenth the number to its right.
Answer:
Each number is one-tenth the number to its left.
Step-by-step explanation: -1,000 is one tenth of -10,000 for example
A vehicle uses 2.3 gallons of gas when driven 48.3 miles. . How many miles can the vehicle go if it uses only 1 gallon of gas?
I will mark you as brainliest if you answer this
I believe it's 14.17/D
Answer:
14.2
Step-by-step explanation:
Since your rounding to nearest hundredth you look at the second one
.17 rounds to 2
So you get 14.2
Hope that helps dude
Which set of numbers is the most reasonable to describe the number of desks in a classroom?
A. irrational numbers
B. whole numbers
C. integers
D. rational numbers
Answer:
B you could get the exact number if desk
Answer:
Whole numbers is the most reasonable to describe the number of desks.
Need help ASAP !!! I am failing MATH
Answer:
i think it is D
Step-by-step explanation:
20-21_P00117979_TFA_G10_MTH_E_GeometricProofsPrep ( Items
Al Items
1 2 3 4 5 6 7 8 Q EP Done →
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Exit Testing
8.
Angle 1 and Angle 3 are vertical angles. The measure of Angle 1 is (3x +72)' and the measure of Angle 3 is (6x)". What is
the value of x?
A2
B
8
C. 12
D.24
Time Remaining: 00:38:15
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6
Answer: on angle 1 x=12 and on angle 3 x=24
Step-by-step explanation: i think
Mr. Allen has 2 dogs, Spike and Fido. He takes both of them outside at 6:00 a.m. He takes Spike outside every 3 hours. He takes Fido outside every 5 hours. When is the next time Mr. Allen will take both dogs outside at the same time?
Answer:
3 pm
Step-by-step explanation:
Because 3x5 = 15 and 5x3=15 so it would be at 3 pm
Answer:
Step-by-step explanation:
Spike gets taken out every 3 hrs meaning he gets taken out at :
6am
9am
12am
3pm
6pm
9pm
Fido gets taken out every 5 hours.
6am
11am
4pm
9pm
Therefore at 9pm, both dogs would get taken out
what is the ratio of 6 to 26 expressed as a fraction in simplest from?
Answer:
8 : 5
simple math
what expression is equivalent to 2
Answer:
4 - 2 = 2
Step-by-step explanation
At best buy they have a 42” TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost? (Hint: Calculate the discount first and then the tax).
Answer:
pre-tax = 1,062.50
after taxes = 1,131.56
What is the graph of each direct variation equation? y= 1/3x
Answer:
So the question isnt completely clear but i can work with thtis. If your asking what i think your asking then lok for this line:
The line should be positive meaning it points in the top right corner. It should pass through 0,0 and from that point you should be able to go up 1 and over 3 where that point you just made should be on the line. If you can continue this proccess from each new point you create and the points are on the line then that is your graph.
Step-by-step explanation:
"ect the best answer for the question.
- A polygon that has all sides the same measure and all angles the same measure is called what?
Answer:
Regular Polygon
Step-by-step explanation:
A polygon is a plane (two-dimensional) shape with straight sides.
Examples include triangles, quadrilaterals, pentagons, hexagons, etc.
A polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length) is called a Regular Polygon.
only answer 5 and 6 for brainliest
Answer:
5. Midpoint: (3.5,0.5)
Quadrant: 1st
6. Midpoint: (-5,0.5)
Quadrant: 2nd
Answer:
1.
midpoint: (3.5, 0.5)
Quadrant: 1
2.
midpoint:(-5, 0.5)
Quadrant: 2
hope this helps :)
Step-by-step explanation:
A body is floating in seawater with 2/3 of its volume above the surface. The weight of the displaced water is?
Answer:
The weight of the displaced water is the weight of the body
Step-by-step explanation:
In situations like this, the volume of the displaced water is not important.
However, it should be noted that when a body is immersed (fully or partially) in a liquid, the weight of the displaced liquid is equal to the weight of the body immersed in the liquid.
Since the weight of the body is not given, I'll conclude that the displaced water has the same weight as the body floating on the water.
Consider the sequence of steps to solve the equation:
7x
5(x - 3) =
Step 1 = 10(x - 3) = 7x
Step 2 = 10x - 30 = 7x
Step 3 = 3x - 30 = 0
Step 4 = 3x = 30
Step 5 = x= 10
Identify the property of equality which yields Step 5.
A)
Division Property
B)
Addition Property
C)
Subtraction Property
D)
Multiplication Property
Millie budgeted $647.50 and spent $671.92. How much more or less did she spend?
a
$24.42 less
b
$24.42 more
C
$1319.42 less
Od
$1319.42 more
Answer:
B
Step-by-step explanation:
If you take 647.50 and subtract it by 671.92 which gives you -24.42 but just take away the negative sign
What is the distance, d, between the points (2,5/2) and (8/3,1)?
answer in the simplest radical form.
Answer: Exact Form:
√
97
6
Decimal Form:
1.64147630
Btw that's 97 radical 6
~ zachary
Answer:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Step-by-step explanation:
We have the two points: (2, 5/2) and (8/3, 1).
And we want to find the distance between them.
So, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(\frac{8}{3}-2)^2+({1-\frac{5}{2})^2[/tex]
Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:
[tex]d=\sqrt{(\frac{8}{3}-\frac{6}{3})^2+({\frac{2}{2}-\frac{5}{2})^2[/tex]
Evaluate:
[tex]d=\sqrt{(\frac{2}{3})^2+(-\frac{3}{2})^2[/tex]
Square:
[tex]d=\sqrt{\frac{4}{9}+\frac{9}{4}[/tex]
Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:
[tex]d=\sqrt{\frac{16}{36}+\frac{81}{36}}[/tex]
Add:
[tex]d=\sqrt{\frac{97}{36}}[/tex]
We can separate the square roots:
[tex]d=\frac{\sqrt{97}}{\sqrt{36}}[/tex]
Simplify. So, our distance is:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
3. A change machine contains nickels, dimes, and
quarters. There are 75 coins in the machine, and the
value of the coins is $7.25. There are 5 times as
many nickels as dimes. How many quarters are in
the machine?
Equation #1:
Equation #2:
Equation #3:
# of quarters:
Answer:
50 nickels 10 dimes 15 quarters
Step-by-step explanation:
im pretty sure
How do you write 1.65x10^8: 2x10^3 in scientific notation?
I'm guessing you're talking about the ratio,
(1.65 x 10⁸) / (2 x 10³)
You can cancel the lowest power of 10:
(1.65 x 10⁸) / (2 x 10³) = (1.65 x 10⁵) / 2
Divide 1.65 in half to get 0.825. So we have
(1.65 x 10⁸) / (2 x 10³) = 0.825 x 10⁵
Move the decimal point to the right, which involves multiplying by a factor of 10 which is taken from 10⁵, so we end up with
(1.65 x 10⁸) / (2 x 10³) = 8.25 x 10⁴
f
[tex]f(x)2 - 5[/tex]
The path of a punted football is modeled by
f(x) = −
16
1225
x2 +
7
5
x + 1.5
where
f(x)
is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.
(a) How high is the ball when it is punted?
Correct: Your answer is correct.
ft
(b) What is the maximum height of the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
(c) How long is the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
Step-by-step explanation:
C is the answer of your question
Kristen is going to hire a makeup artist
(Look at the photo please will name Brainlyest)
The ratio of boys to girls in a classroom is 7 to 11. If there are a total of 49 boys in the classroom, then how many boys and girls are there all together?
Answer: 65
Step 1: Multiply and add until you get 49.
11 x 4 = 44.
44 + 5 = 49.
Step 2: Multiply and add until you get 26, because 7:11 to 49 boys is 26, 26 : 49.
7 x 3 = 21.
21 + 5 = 26.
Step 3: Add 26 and 49.
26 + 49 = 65
Answer:
126 students
Step-by-step explanation:
Boys : Girls
7 : 11
How do you get from 7 to 49?
49 ÷ 7 = 7
Therefore, you should multiply the number of boys by 7.
Multiply:
7 : 11
7 × 7 = 49
49 : 11
Remember that whatever we do to the left, do to the right.
Multiply:
49 : 11
11 × 7 = 77
49 : 77
Now, let's add the number of boys and girls in the class to find the total number of students.
Add:
49 + 77 = 126
Therefore, there are 126 students in all.
which set of numbers are equivalent
0.32 , 32% , 1/32
0.45 , 50% ,49/50
0.30, 30% , 30/300
0.15 , 15% , 30/200
i will give you 40 pionts
please help i don’t understand, thanks! :)
Answer:
B
Step-by-step explanation:
My best guess would be 12 tickets, but seeing as that is not an option, I see that the only similarity all of the numbers in the x column have is that they are even numbers, and B is the only option that is even as well
Please please help me asp
Answer:
[tex]option \: b. \: is \: right.[/tex]
Answer:
the is 28 according to bdmass rule
Mai ran 1/4 of the length of her road, which is 9 miles long. How long did Mai run?
Answer:2.25
Step-by-step explanation:
If the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
It is given that,
Length of road = 9 miles
From the condition,
Mai ran 1/4 of the length of her road
Mai ran = 1/4 × length of her road
Mai ran = 1/4 × 9
Mai ran = 2.25 miles.
Thus, if the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.
Learn more about the arithmetic operation here:
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