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Oksi-84 [34.3K]
3 years ago
9

Multiple Choice!!! A school bought a special type of lock for all student lockers. Every student had to create his or her own pa

ss code made up of 4 different numbers from 0-9. How many different pass codes are possible?
A)6,561
B)262,144
C)5,040
D)9

Thank you for your help! :)
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0
<span>Say the code only needed to be one number long. Going from 0-9, there are ten digits. Therefore, there are ten unique codes.

Now say the code has to be two numbers long. There are ten possibilities for the first digit, 0-9. But the second digit only has nine possibilities, since each number has to be different. (The first number might be 0, so the second can only go from 1-9) For each of the first ten possibilities, there are nine possibilities for the second. We multiply those two numbers together, 10 * 9, and we get 90.

Now we just extend the logic. The third number only has eight possibilities, while the fourth number only has seven. 10 * 9 * 8 * 7 = 5040 possible codes. I hope this helped! has a great day! :)</span>
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30 POINTS! Combine the like terms of the 2 questions below:
astraxan [27]

Answer:

\tt 1)\: \boxed{\tt 4y+10}

\tt 2)\:\boxed{\tt 0.5x^4+10.5}

Step-by-step explanation:

1) y + 4 + 3(y + 2)

Expand:-

\tt y+4+3y+6

Combine like terms:-

\tt y+3y+4+6

\boxed{\tt 4y+10}

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2) 0.5(x⁴ - 3) + 12

Expand:-

\tt 0.5x^4-1.5+12

Add/Subtract Numbers:-

\boxed{\tt 0.5x^4+10.5}

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5 0
2 years ago
Find the greatest common factor of these three expressions. 5v2 , 14v4 , and 35
a_sh-v [17]

Question

Find the greatest common factor of these three expressions. 5v2 , 14v4 , and 35


Answer:

<h2>1</h2>

Step-by-step explanation:

assuming that 5v2 is 5², and 14v4 is 14^4

5² = 25

14^4 = 38416

35 = 35

The factors of 25 are: 1, 5, 25

The factors of 35 are: 1, 5, 7, 35

The factors of 38416 are: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2401, 2744, 4802, 5488, 9604, 19208, 38416

--------------

the greatest common factor is 1



6 0
3 years ago
Renaldo will write 3/20 as a decimal. Which of the following methods should he use?
makvit [3.9K]

ANSWER

1. Multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.

EXPLANATION

Renaldo wants to write

\frac{3}{20}

as a decimal.

He needs a denominator of 100, so he can multiply by

\frac{5}{5}

to obtain:

\frac{3}{20}  =  \frac{3 \times 5}{20 \times 5}

This will be

=  \frac{15}{100}

He can now obtain the decimal equivalent as

= 0.15

The correct choice is option 1.

3 0
3 years ago
Read 2 more answers
I want the answer to this , zoom in if you can't see well
galben [10]

We are going to need to know the formula for the lateral surface area and volume of a cylinder in order to find our answers. Below are the equations:

A_L = 2 \pi r h

V = \pi r^2 h

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Using these formulas, we can solve these problems.

A_L = 2 (3.14)(48.9) (84.3) \approx \boxed{25887.856}

V = (3.14) (48.9)^2 (84.3) \approx \boxed{632958.069}

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3 years ago
What expression is equivalent to 5 (x+6)-2x+9.
myrzilka [38]
5x+30- 2x+9

3x+39 is the expression.
7 0
3 years ago
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