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enot [183]
3 years ago
7

Sydney’s security company uses security codes that are 2 letters followed by 3 numbers. How many different codes are possible if

letters and numbers cannot be repeated?
Mathematics
1 answer:
g100num [7]3 years ago
7 0

Answer:

468,000 different codes

Step-by-step explanation:

The code has first 2 letters and then 3 numbers.

The first letter has 26 possibilities to be filled.

The second letter has 25 possibilities, as one letter is already used.

Then, for the numbers, we have:

The first number has 10 possibilities to be filled.

The second number has 9 possibilities to be filled (one used).

The third number has 8 possibilities to be filled (two used).

So, the total number of different codes is:

26*25*10*9*8 = 468,000 different codes.

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Solve the inequality ?12<1/2(4x+16)<18
natita [175]

Answer:

<em>The solution will be:  2</em>

Step-by-step explanation:

The given inequality is:   12

First we will multiply all sides by 2 for eliminating that \frac{1}{2} in the middle part. So.........

2*12

Now, we need to subtract 16 from all sides. So, we will get........

24-16

Then, we will divide all sides by 4 for getting x alone in the middle part. So.......

\frac{8}{4}< \frac{4x}{4}< \frac{20}{4} \\ \\ 2

Thus, the solution will be:  2

4 0
3 years ago
Read 2 more answers
Find the complete solution of the system <br><br> 5x+3y+11z=37<br><br> 3y+z=12<br><br> 5x+9y+13z=61
valkas [14]

Answer:

y = \displaystyle\frac{12-z}{3}\\\\x = -2z + 5

Step-by-step explanation:

We are given a system of equation:

5x+3y+11z=37\\3y+z=12\\5x+9y+13z=61

To find a solution to the given system, we follow the given steps.

1. Subtracting second equation from first and third equation, we get:

5x+3y+11z-3y-z=37-12\\5x+10z = 25\\5x+9y+13z-3(3y+z) = 61 - 36\\5x + 10z = 25

2. After eliminating z to obtain two equations in two variable, we observe that the two equations obtained were same.

So we have three equations that will all graph in the same plane.

Thus, there are infinite number of solution to the given system of equation.

We can write the values of x and y in the form of z:

y = \displaystyle\frac{12-z}{3}\\\\5x + 12 - z + 11z = 37\\5x = -10z + 25\\x = -2z + 5

3 0
3 years ago
Solve The Following Problems Write your Answer in Your Notebook​
aleksandrvk [35]

Answer:

its either 3 or 4

Step-by-step explanation:

4 0
3 years ago
Write 6.39 repeated as a mixed number in simplest form? <br> Please make sure you simply!!!!
AysviL [449]

Answer: Hope this helps

Step-by-step explanation:

6.39 = 639

100

= 639

100

as a fraction

To convert the decimal 6.39 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

6.39 = 6.39

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

6.39

1

= (6.39 × 100)

(1 × 100)

= 639

100

.

(This fraction is alread reduced, We can't reduce it any further).

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 639

100

is also equal to 639

100

when expressed as a mixed number

6 0
3 years ago
When a die is rolled 20 times, 4 came up 5 times.
GenaCL600 [577]
The answer would be 1/6 assuming a fair trial

5 0
4 years ago
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