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bonufazy [111]
3 years ago
15

A garage door opener has a ten number keypad. Codes to open the door must consist of 5 digits with no adjecent digits the sane.

How many codes are possible?
Mathematics
1 answer:
grigory [225]3 years ago
5 0

1st slot: 10 possibilities  

2nd slot: 9 possibilities  

3rd slot: 9 possibilities  

4th slot: 9 possibilities  

5th slot: 9 possibilities  

10 * 9 * 9 * 9 * 9 = 65610 Possibilities

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Suzanne practiced playing the piano for 1.6 hours<br> after school. Write 1.6 as a mixed number.
LUCKY_DIMON [66]

Answer:

1 3/5

Step-by-step explanation:

The number 1.6 can be writen using the fraction 16/10 which is equal to 8/5 when reduced to lowest terms.

It is also equal to 1 3/5 when writen as a mixed number.

You can use the following approximate value(s) for this number:

1.6 =~ 1 1/2 (if you admit a error of -6.25%)

8 0
3 years ago
How to solve 3 and 1/2 + 5 and 1/2
Llana [10]

Answer:

9

Step-by-step explanation:

3½ + 5½ can also be phrased as 3.5 + 5.5

3.5 + 5.5 = 9

8 0
4 years ago
Cos^2(2theta)+ 2cos(2theta)+1=0
Tema [17]

Answer:

θ = π n + π/2 for n element Z

Step-by-step explanation:

Solve for θ:

1 + 2 cos(2 θ) + cos^2(2 θ) = 0

Write the left hand side as a square:

(cos(2 θ) + 1)^2 = 0

Take the square root of both sides:

cos(2 θ) + 1 = 0

Subtract 1 from both sides:

cos(2 θ) = -1

Take the inverse cosine of both sides:

2 θ = 2 π n + π for n element Z

Divide both sides by 2:

Answer:  θ = π n + π/2 for n element Z

4 0
3 years ago
Original price: $23.37<br>with tax : $24.91<br>what is the sales tax percentage​
Marina86 [1]

Answer:

6.6% = tax rate

Step-by-step explanation:

The first step is to find out how much was paid in tax

24.91 - 23.37 =1.54

The tax is 1.54

The tax is the original price * tax rate

1.54 = 23.37 * tax rate

Divide each side by 23.37

1.54/23.37 = tax rate

.065896448= tax rate

Changing to percent form

6.6% = tax rate

8 0
4 years ago
35. One expressed power of Congress stated in the Constitution is the power to a. coin money b. create treaties. c. create schoo
Evgesh-ka [11]
Create treaties with other nations
7 0
3 years ago
Read 2 more answers
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