How many different 6-digit license plates are possible if the first 3 digits can be any letter and the last 3 digits can be any number?
A. 108
B. 17,576,000
C. 128
D. 15,725,000

Answers

Answer 1

Answer:

B

Step-by-step explanation:

every position on the license plate is independent from the others.

so, for each position we have the full choice of all possibilities.

there are 26 letters in the alphabet. and there are 10 different single numeric digits.

so, for the first position we have 26 possibilities. as we have for the second and third positions.

the means for each option for the first position we have 26 choices for the second.

that is 26×26.

then for each given choice of the first 2 positions we have 26 choices for the third position.

that is then 26×26×26 possibilities.

for each of the given choices of the first 3 positions we have 10 choices on the fourth position. and then on the fifth and the sixth positions.

the makes altogether

26×26×26×10×10×10

even without calculator I know it must be B, because the number of possibilities must end with 3 "0"s (due to the 10×10×10).

and the main number block must end with a "6" due to 26×26×26, which means for the last position we only need to consider 6×6×6. 6×6 = 36 ending in a "6". and that again multiplied by 6 is again 36 ending in a "6".

so, 26×26×26 has to end with a "6". that gives us B.


Related Questions

What are the ways you can prove triangles are congruent?

Answers

Answer:

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

q(q-q)-(p+q) ; use p=1 and q=3

Answers

If this is written correctly then the answer is straight up -4

show that a^12 can be written as a perfect square and a perfect cube

Answers

Answer:

Step-by-step explanation:

Doing this the long way, write a^12 as a product of "a"s

a^12 = a * a * a * a * a * a * a * a * a * a * a * a

Now group them into groups of 4

a^12 = a * a * a * a * a * a * a * a * a * a * a * a

There are 3 groups of 4 so you can write it as [(a^4)]^3 which is a cube

Now do the same thing with groups of 6s

a^12 = a * a * a * a * a * a * a * a * a * a * a * a

a^12 = (a^6)^2

So the two answers are

Perfect cube:  [(a^4)]^3

Perfect square: (a^6)^2

Determine the y-intercept of the straight line - 3y = -3x + 15

Answers

Answer:

-5

Step-by-step explanation:

-3y=-3x+15

y=x-5

make x=0

y=0-5

y=-5

1/5(2x+92)=5x find x

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]\dfrac{1}{5}*(2x + 92) = 5x[/tex]

Multiply the equation by 5

[tex]5* \dfrac{1}{5}*(2x +92) =5x*5\\\\ 2x + 92 = 25x[/tex]

Subtract 2x from both sides

92 = 25x - 2x

92 = 23x

Divide both sides by 23

92/23 = 23x/23

4 = x

x = 4

After a dilating a square with a scale factor of 3, which describes the image of the square?
O Its sides are 1/3 as long as those of the original square.
O its sides are 3 times as long as those of the original square.
O Its sides are 3 units longer than those of the original square.
O Its sides are 3 units shorter than those of the original square.

Answers

Answer:

2. It's sides are 3 times as long as those of the origanal square.

Step-by-step explanation:

The scale factor is 3. So the scale of the sides of the orig. square to the image is 1:3. So, it is 3 times as large as the preimage.

Which of these could be the graph of F(x) = In x + 1?

Answers

Answer:

A

Step-by-step explanation:

rlykydlydlysl6sl6sl6dylsl6sl6dlu

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this is my brothers math homework can someone help w the what is the meaning question

Answers

How many piles the plates are stacked in I think

The answer is [tex]24/4=6 \hspace{0.1cm} and \hspace{0.1cm}4*6=24[/tex]. "unknown factor" pertains to finding an unknown value in a multiplication problem, while "quotients" refer to the results obtained in division operations.

Both concepts are fundamental in arithmetic and algebraic calculations.

In mathematics, "unknown factor" and "quotients" are related to multiplication and division, respectively:

1. **Unknown Factor:**

  - An "unknown factor" refers to a number or variable that you want to find or determine in a multiplication problem.

  - In the context of an equation like "a * b = c," where "a" and "b" are known values or variables, and "c" is the result of the multiplication, you might be trying to find the value of "a" or "b." The unknown factor is the value that you don't initially know, and you need to solve for it.

  - For example, if you have the equation "3 * x = 15," the unknown factor is "x," and to find its value, you would need to divide both sides of the equation by 3, yielding "x = 5."

2. **Quotients:**

  - "Quotients" is the plural form of "quotient," and it refers to the result of a division operation.

  - In division, the quotient is the number that you get when you divide one number (the dividend) by another number (the divisor).

  - For example, in the division problem "12 ÷ 4," the quotient is 3 because 12 divided by 4 equals 3. Here, 3 is the result or quotient of the division operation.

  - Quotients can be whole numbers, fractions, or decimals, depending on the numbers being divided and the division process.

to know more about quotients:

https://brainly.com/question/1939154

#SPJ3

I will give you 20 points IF THE ANSWER IS CORRECT
angle 3 and angle 4 are supplementary. m<3=7x-3 and m<4=2x+12. Find the measure of each angle

Answers

Step-by-step explanation:

Sum of supplementary angle = 180⁰

2x + 12 + 7x - 3 = 180

9x + 9 = 180

9x = 180 - 7

9x = 171

x = 171/9

x = 19

m<3 = 7(19) - 3 = 133 - 3 = 130⁰

m<4 = 2(19) + 12 = 50⁰

160 divided by 25??? I need help what is the anwser?

Answers

Answer:

6.4

Step-by-step explanation:

160 / 25 = 6.4

Answer: 6.4

Step-by-step explanation: 6.4 x 25 = 160 Brainliest please?

HELPPP!!!
What is the value of f(4)

Answers

Answer:

f(4) = 0

Step-by-step explanation:

If the value of x is between 0 and 5, then the f(x) will equal 0.

x = 4 is greater than 0 and less than 5, so f(4) = 0

What is it simplified?

Answers

Answer:

v² - 4

Step-by-step explanation:

To simplify usually means to reduce something.

So like in this problem all we have to do is reduce...

v^2 - 2^2

v² - 4

Hope this helps :)

Which graph represents a step function?

Answers

The answer is B - the second option

Explanation:

Step functions are functions (meaning that the x-values do not match with a y-value more than once) that increase or decrease at the same time. #1 is another type of piecewise function, while #3 is a choice to fool you.

Answer:

B

Step-by-step explanation:

got it right on edge :)

Please help with 27 28 29 and 30 this is due in the morning

Answers

Answer:

Step-by-step explanation:

27. LMN = LMO- NMO = 85-53 = 32

sjddkdkkdkdkdkdkdkdkkddkjsjssj

Answers

Answer:

PLESS WRITE A CORRECT QUESTION THAS I CAN HELP YOU

the diameter of a standard olympic medal is 60mm

Determine the radius of the medal​

Answers

Answer:

30mm

Step-by-step explanation:

Diameter 60mm ÷ 2 = 30mm radius

Radius = 1/2 diameter

The probability of having a head in a single toss of a coin is?

Answers

Answer:

probability will be 1/2 because when you toss a single coin then there will be 2 outcomes: a head and a tail that is 2 possible outcomes so, the probability of getting a hard in a single toss of coin will be 1/2

explanation:

hope it helps

A train is traveling at a velocity of 75 km/hr it takes a train 5 hours to get to its destination how far did the train travel to get to its destination

Answers

Answer:

On his day off, Lee took a trip to the zoo. He drove an average speed of 65 mph, and it took him two-and-a-half hours to get from his house to the zoo.

Step-by-step explanation:

How many of the positive divisors of 2160 are multiples of 3?

Answers

Answer:

The positive divisors of 2160 are:

1,  2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160

Multiples of 3 are:

3, 6, 9, 12, 15, 18, 24, 27, 30, 36, 45, 48, 54, 60, 72, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160

The number of divisors, multiples of 3 is:

30

PLEASE HELP
Find the Value of X in the given right triangle

Answers

Answer:

I think answer is 149 by using Pythagoras theorem

Step-by-step explanation:

sinx= p/h

= 7/10

sinx= 0.7

maybe

At the city museum, child admission is $5.10 and adult admission is $9.60. On Monday, twice as many adult tickets as child tickets were sold, for a total sales of $558.90. How many child tickets were sold that day?

Answers

Answer:

23

Step-by-step explanation:

The amount of children's tickets is x, while the amount of adults' tickets is 2x

5.1*x- the amount of money from children

9.6*2x= 19.2x- the amount of money from adults

5.1x+19.2x= 558.9

x=23 - child tickets

I NEED HELP ASAP ON 1. AND 3.

Answers

Answer:

Step-by-step explanation:

3) Yes. Ms. Bratlett is  correct.

2x - 3 - (x +1) = 2x - 3 + x*(-1) + 1*(-1)

                     = 2x - 3 - x - 1

                    = 2x -x  - 3 - 1

                    = x - 4

Megha bought a cycle for Rs 4000 and sold it to Mahima at a loss of 10%. If Mahima sold th cycle to Madhab at a loss of 5%, find the cost price of Madhab.
pls step by step​

Answers

Answer:

i hope it helped U ❤️❤️❤️

Dwayne makes 10 1/2 hours of long distance calls in a month. How much is his bill for that month


Answers

Answer:

just for points museum Kristen

PLEASE HELP WILL MARK BRAINLIEST
Paul graphs the equation y = 24.
Where does his graph intersect the y-axis?
(0,1)
(1,0)
(0,0)
(2,0)

Answers

(0,0)

Step-by-step I took the test

HELPPP PLASSSS BRAINLIEST

Answers

Answer:

5

Step-by-step explanation:

If the parallelogram is being rotated the side length will stay the same as it is in the current state.

Please find X, I can't figure it out

Answers

Answer:

70° + x + (x - 20°) = 180°

x = 65°

hope it help u !!!

sorry i cant explain it in Eng

hope u can understand the image, it's an example

yoyo yknow what time it is answer this please and thanks no images for answers those blocked ty! <33

Answers

Answer:

7

Step-by-step explanation:

sean used 41 feet of string to fly his kite. his kite was 9 feet in front of him. how high was his kite?

Answers

Answer:

40 feet

Step-by-step explanation:

the expression 3x-9 and 23-5x represent the lengths (in feet) of two sides of an equailater triangle. find the perimeter of the triangle

Answers

Answer: 3ft

Step-by-step explanation:

Step 1; 3x-9=23 5x

Step 2; 3x9=23 5x 3x+ 9=23- 5x

Step 3 ; 3x-9 3x4-9 = 3ft

3ft is the answer.

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