1. Since 1963, the State of California has used the following rules for standard
car license plates
• Every license plate has the format ###AAA#, where # represents a numeral
0-9 and A represents a letter A-Z.
• The first and third letter positions cannot be I, O, or Q (to avoid
confusion with mumbers 1, 0).
How many license plates can the State of California issue that follow
these rules?

Answers

Answer 1

Answer:

137,540,000

Step-by-step explanation:

###AAA#

There are 10 digits from 0 to 9.

There are 26 letters from A to Z.

We apply the counting principle. We see the number of possible digits or letters than can be placed in each position, and then we multiply them together.

There are 10 digits for the first position.

###AAA#

10

There are 10 digits for the second position.

###AAA#

10 * 10

There are 10 digits for the third position.

###AAA#

10 * 10 * 10

There are 23 letters for the fourth position.

###AAA#

10 * 10 * 10 * 23

There are 26 letters for the fifth position.

###AAA#

10 * 10 * 10 * 23 * 26

There are 23 letters for the sixth position.

###AAA#

10 * 10 * 10 * 23 * 26 * 23

There are 10 digits for the seventh position.

###AAA#

10 * 10 * 10 * 23 * 26 * 23 * 10

Now we multiply all the numbers together.

10 * 10 * 10 * 23 * 26 * 23 * 10 = 137,540,000


Related Questions

If the surface area of a cube is 390 in.² and which best describes the length of the side cube

Answers

Answer:

sqrt65, or 8.06225775

Step-by-step explanation:

390/6=65

sqrt65=8.06225775

If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2. Question 20 options: A) 52 B) 13 C) 208

Answers

i believe your answer is A.

Can someone solve 6 and 7 for me I will mark you the brainly pls help I will really appreciate

Answers

Answer:

6) x = 36°, y = 18°

7) z = 7°

Step-by-step explanation:

6) 2x + 3x = 180°

5x = 180°

x = 36°

4y = 2x = 72°

y = 18°

7) 2z + 4 = 4z - 10

2z = 14

z = 7

While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209 feet and the angle of depression is 53°, what distance must Lisa ski in order to reach the lodge?

Answers

Answer:

1514 feet

Step-by-step explanation:

We solve using the trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

θ = Angle of depression = 53°

Opposite = Vertical height = 1209 feet

Hypotenuse = x =??

Hence,

sin 53 = 1209 feet/x

Cross Multiply

sin 53 × x = 1209 feet

x = 1209 feet/ sin 53

x = 1513.8320107 feet

Approximately = 1514 feet

Therefore, the distance Lisa must ski to reach the lodge is 1514 feet

Help please, and could you show the work?

Answers

Answer:

X = 5

Step-by-step explanation:

use the graph:

look at y = -3 and find the corresponding X value (X = 5)

What is -1/2 times 1/4-3/8?

Answers

Answer:

The answer is -0.5

Step-by-step explanation:

The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.What is the equation of g(x)?

Answers

Answer: Your answer would be D:)  g(x) = 5x – 10

Help me With 1 and 3

Answers

Answer:

1. A

2. B

Step-by-step explanation:

They want to isolate x in both cases.

So the best choice for question 1 is A because if he adds 10 to both sides x will be positive.

On question 3 the best choice is subtracting 15 from both sides

The answer is number 1

£770 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Henry get? £770 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Henry get?

Answers

Answer:

henry gets 231

Step-by-step explanation:

my head

Answer:

231

Step-by-step explanation:

Let's consider that Gavin got X pounds.

Then Henry gets 3 times as much as Gavin => 3X

And Mark gets twice as much as Henry => 2 * 3X

Together they get 770, so:

X + 3X + 2*3X = 770

10X = 770  =>  X = 77

As we mentioned, Henry gets 3X, so

3X = 3 * 77 = 231

Solve for a
-1/4a- 4=7/4a- 3

Answers

Answer:

a=−1/2

Step-by-step explanation:

Find the area of the red region.

Brainliest Will Be given!!!

Xtra points!!

Thebecks if your're on still!!

PLZ!!!!!

NO INKS OR YOU WILL GET REPORTED!!!!!!!!

Answers

Answer:

11.59 cm²

Step-by-step explanation:

area of entire circle:

A = (3.14)(9.28²) = 270.41 cm²

area of 68.9° segment:

(68.9/360)(270.41) = 51.75 cm²

area of triangle:

the triangle is equilateral so both the corners opposite 68.9° are equal  so they are = (180 - 68.9)/2 = 55.55° each.

1/2 the base will be:

cos 55.55 = b/9.28

b = 5.25, full base =10.5 cm

sin 55.55 = height/9.28

height = 7.65 cm

A = 1/2(10.5)(7.65) = 40.16 cm²

area of chorded section = 51.75 - 40.16 = 11.59 cm²

In each equation, select an operation to make the equation true. 24 ____34=18 24 ____−34= - 32 12 ____ -15 = -3 12 ____ -15 = 27 -18 ____ −34= 24

Answers

Answer:

1) 24 - 40 + 34 = 18

2) 24 - 22 - 34 = -32

3) 12  + 0 -15 = -3

4) 12 + 30 -15 = 27

5) -18 + 76 -34 = 24

Step-by-step explanation:

The given equations are;

1) 24 _ 34 = 18

We have;

18 - (34 + 24) = -40

Therefore;

24 - 40 + 34 = 18

2) 24 _ - 34 = -32

We have;

-32 - (24 - 34) = -22

Therefore;

24 - 22 - 34 = -32

3) 12 _ -15 = -3

We have;

-3 - (12 - 15) = 0

Therefore;

12  + 0 -15 = -3

12 - 15 = -3

4) 12 _ -15 = 27

We have;

27 - (12 - 15) = 30

Therefore;

12 + 30 -15 = 27

5) -18 _ -34 = 24

We have;

24 - (-18 - 34) = 76

Therefore;

-18 + 76 -34 = 24.

1. 24 x 34=18

2. 24 ➗ -34=-32 (i dont have the division thing lol)

3. 12 - 15=-3

4. 12 - (-15)=27

5.  -18 x -34=24

The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.

A) y = 4x +7
Or
B) y = 4x + 19

Can you help? ​

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )

m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A

Compare the properties of the function f(x) = 2x2 + 4x + 5 to the function given by the table. Which statements are correct?

Answers

Answer:B, C, D

Step-by-step explanation:

I did the USATESTPREP

An apple costs $2.00 more than amango. The total cost of
three apples and a mango is $50.00.
put it in algebra pls

Answers

Answer:

,,,,,,, ,,,,,,,,,,,,,,,,,

Answer:

1 mango = 11 dollars

1 apple = 13 dollars

Step-by-step explanation:

Let [tex]a[/tex] be equal to the cost of an apple.

Let [tex]m[/tex] be equal to the cost of a mango.

1) Create equations

An apple costs $2.00 more than a mango.

⇒ [tex]m+2=a[/tex] (the cost of a mango + 2 dollars = cost of an apple)

The total cost of three apples and a mango is $50.00.

⇒ [tex]3a+m=50[/tex] (3 apples*the cost of 1 apple + cost of 1 mango = 50 dollars)

2) Solve for m and a

[tex]3a+m=50[/tex]

Substitute a with [tex]m+2[/tex]

[tex]3(m+2)+m=50\\3m+6+m=50\\4m+6=50[/tex]

Subtract both sides by 6

[tex]4m+6-6=50-6\\4m=44[/tex]

Divide both sides by 4

[tex]\frac{4m}{4}=\frac{44}{4} \\m=11[/tex]

Therefore, the cost of 1 mango is 11 dollars.

[tex]m+2=a[/tex]

Substitute m with 11 to solve for a

[tex]11+2=a\\13=a[/tex]

Therefore, the cost of 1 apple is 13 dollars.

I hope this helps!

Which statement is correct

Answers

The answer is choice C. I mean if you just look at the number lines. Whichever one is closer to the right is greater

What is the volume of the cylinder? Use 3.14 for T.

Answers

Answer:

251.33

Step-by-step explanation:

have a good day! :)

Solve the linear equation. 2 (3 + 2x) = 10 ​

Answers

the answer to that equation is X= 1

Answer:

-1

Step-by-step explanation:

2(3+2x)=10

6+4x=10

6-10=4x

-4=4x

x=-1

In a right triangle, the height is 15 cm and the hypotenuse is 45 cm. What is the base?

A.1800
B.47.4
C.2250
D.42.4


Hurryyyy

Answers

Answer:

D) 42.4

Step-by-step explanation:

a² + b² = c² -----> a² + 15² = 45²

45² - 15² = a² ----->  2025 - 225 = 1800²

42.426406.... ----> D) 42.4

D .................................

What is the area of the triangle?
7
5
4
units?
Please help

Answers

Answer:

[tex] 10 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of triangle

[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]

Write each equation in standard form -3x+5y=-5

Answers

Answer:

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...

Step-by-step explanation:

standard form: 3x- 5y = 5

-2.2 = x - 4.2

solve for x

Answers

Answer:

2

Step-by-step explanation:

Add 4.2 to both sides

x = 2

In the diagram of triangle FJH below, KG || JH, FK=3, KJ=15, and FG=4. What is the length of FH?

Answers

Given:

In triangle [tex]FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.[/tex]

To find:

The length of [tex]FH[/tex].

Solution:

Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.

In triangle [tex]FJH,KG\parallel JH[/tex].

Using BPT, we get

[tex]\dfrac{FK}{KJ}=\dfrac{FG}{GH}[/tex]

[tex]\dfrac{3}{15}=\dfrac{4}{GH}[/tex]

On cross multiplication, we get

[tex]3\times GH=4\times 15[/tex]

[tex]GH=\dfrac{60}{3}[/tex]

[tex]GH=20[/tex]

Now,

[tex]FH=FG+GH[/tex]

[tex]FH=4+20[/tex]

[tex]FH=24[/tex]

Therefore, the length of FH is 24 units.

just some easy 5th grade math please help and don’t give me any link.

Answers

Answer:

6 x 3 x 1 = 18

4 x 8 x 3 = 96

18 + 96 = 114 ft cube

A basket contains 10 red apples and 7 green apples. One apple is selected at random and is not replaced. A second apple is then selected What is the probability that the first apple!
green and the second apple is red?

Answers

The percentage of 7 green apples out of 17 total apples in means of getting one selected is 41%.

Therefore, finding the percentage of 10 out of 17 concludes that a then 58% chance of a red apple being chosen is present.

Show and explain how you would solve the following equation by graphing x - 2 = 5

Answers

Answer:

See below

Step-by-step explanation:

If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.

Marie runs a dog-walking business. She charges a $10.75 base fee for each dog she walks, plus an additional $7.10 per hour that she walks the dog. Each day she spends $5.50 on dog treats. How much money Marie would earn in one day if she worked for 4 12 hours? A. $26.45 B. $31.95 C. $37.20 2. $42.70​

Answers

Answer:

I believe 31 dollars and 95 cents

Step-by-step explanation:

Marie would earn $37.2 in 4 1/2 hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Marie charges a $10.75 base fee for each dog she walks,

and, additional $7.10 per hour that she walks the dog.

Each day she spends $5.50 on dog treats.

So, if Marie works for 4 1/2 hour then she can earn

= 10.75 + 4 1/2 x 7.1 - 5.5

= 10.75 + 4.5 x 7.1 - 5.5

= $37.2.

Hence, Marie would earn $37.2.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Evaluate.

f(x)=17-5x at x=x+h

Answers

Step-by-step explanation:

f(x)=17-5x

if x=x+h then you can insert x+h for x in the equation of f(x)

f(x)=17-(x+h)-5x

distrubute and simplify

f(x)=17-6x-h

So that line contains the points where 17-5x and x+h intersect.

Hope that helps :)

g(x)=x-3
f(x) = -2x + 2
Find g(f(x)

Answers

Answer:

- 2x - 1

Step-by-step explanation:

[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]

K
29
6x – 5
1 point
What is the value of x, in degrees?
15
в ОООО
18.22
20
2x – 3
24
(х+8
L
J
30
1 point
What is the measure of ZL?
115
93
ОООО
28
37

Answers

Answer:

1.x=20

<L=37

Step-by-step explanation:

(x+8)+(2x-3)+(6x-5)=180

x+8+2x-3+6x-5=180

9x-8+8=180

9x=180

x=180/9

x=20

<L=2x-3

<L=2*20-3

<L=40-3

<L=37

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