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irina1246 [14]
3 years ago
9

How many different license plates are possible if a license plate consists of 2 capital letters followed by 5 digits?

Mathematics
2 answers:
Nikolay [14]3 years ago
7 0
26\cdot26\cdot10\cdot10\cdot10\cdot10\cdot10=\\
26^2\cdot10^5=\\
676\cdot 10000=\\
67600000
Alina [70]3 years ago
6 0

The first letter can be any one of 26 letters.  For each one . . .
The second letter can be any one of 26 letters.  For each one . . .

The first digit can be any one of 10 digits.  For each one . . .
The second digit can be any one of 10 digits.  For each one . . .
The third digit can be any one of 10 digits.  For each one . . .
The fourth digit can be any one of 10 digits.  For each one . . .
The fifth digit can be any one of 10 digits.

The total number of possibilities is

                   (26 x 26 x 10 x 10 x 10 x 10 x 10) =

                   ( 26² x 10⁵) = (676 x 100,000) = <em>67,600,000</em> .


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The perimeter of a shape shows a car racing track, how far does a car travel in a race which consists of 23 laps 1.2km , 1.2 km
inna [77]

Answer:

110.4km

Step-by-step explanation:

1 lap is equal to 4.8

4.8×23=110. 4

(Need someone to confirm)

6 0
3 years ago
A 25-ft ladder and then you can get inside of a house the bottom of the ladder is 8 ft away from the bottom of the house what is
seropon [69]

Answer:

71.33 degree

Step-by-step explanation:

The angle between the bottom of the ladder and the ground is given by

cos\alpha = \frac{B}{L}

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -

Cos \alpha = \frac{8}{25}\\Cos \alpha = 0.32\\\alpha = Cos^{-1}(0.32)\\\alpha = 71.33

4 0
3 years ago
Noah spent 25 hours working on his car. He spent 4/5 of his time working on the transmission. How much time did Noah spend worki
xenn [34]

Answer:

5 hours

Step-by-step explanation:

4/5 is 20 of 25, so there are 5 hours left which is your answer!

6 0
3 years ago
Mrs Hong had some milk. She used of it to bake some waffles and
Sergio [31]

<u><em>Answer:</em></u>

Mrs. Hong originally had 900 ml of milk

<u><em>Explanation:</em></u>

The complete question is in the attached image

Assume that the amount of milk Mrs. Hong originally had was x ml

<u>We are given that:</u>

1- She used \frac{1}{6} of it to bake the waffles, <u>therefore</u>:

   Amount used in baking waffles = \frac{1}{6}x ml

2- She used 300 ml to bake a pie

3- Amount left is half the original amount, <u>therefore</u>:

   Amount left = \frac{1}{2}x ml

<u>We know that:</u>

Total amount = amount used in waffles + amount used in pie + amount left

<u>Substitute with the givens and solve for x:</u>

Total amount = amount used in waffles + amount used in pie + amount left

x = \frac{1}{6}x + 300 + \frac{1}{2}x\\  \\x-\frac{1}{6}x-\frac{1}{2}x = 300\\   \\\frac{1}{3}x = 300\\  \\x = 300*3 = 900 ml

<u>This means that:</u>

She originally had 900 ml of milk

Hope this helps :)

7 0
3 years ago
Solve this eqution with work please also show work<br> solve for x and y<br> x=-y+5<br> y=-3x+3
ExtremeBDS [4]
<span>The answer is x=<span>−<span><span>1<span> and </span></span>y</span></span></span>=<span>6. You can solve it using a graph, substitution, or elimination. </span>
7 0
3 years ago
Read 2 more answers
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