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Paha777 [63]
3 years ago
13

The library labels each book with a five-digit code to identify the book in their computer system. Each code is 3 digits (0-9) f

ollowed by two letters. How many codes are possible?
Mathematics
2 answers:
Svetllana [295]3 years ago
8 0

Answer:The number of all possible codes = 26 * 26 * 10 * 10 * 10 = 676000

Step-by-step explanation:

five digit code; each code is 3 digits (0-9) followed by two letters. That's ten numbers to choose from and 26 letters in the alphabet.

The problem suggests numbers and letters can be used more than once, like having a code: 555AA

To find the number of possible codes, you multiply by the choices for each digit.

10*10*10*26*26 = 676,000

NNADVOKAT [17]3 years ago
5 0

Answer:

26 * 26 * 10 * 10 * 10 = 676000

Step-by-step explanation:

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What is the slope of the line that passes through the points (-5, -7) and (4,−1)? in the simplest form
Bad White [126]

It should be m=-5/9

3 0
3 years ago
Write a algebraic expression
iren [92.7K]

Answer:

1. a^{3}b^{4}.

2. 3Y^{2} - 6.

3. a + b + \frac{b}{a}.

4. 4(r + a) + 2(r - s).

5. 3(55 - w^{3}).

Step-by-step explanation:

1. The product of the third power of a and the fourth power of b = a^{3}b^{4}.

The 'third power of a' means 'a to the power 3' and 'fourth power of b' means 'b to the power 4'.

2. Six less than three times the square of Y means 3Y^{2} - 6.

Here, 'three times the square of Y' means 'product of 3 and Y to the power 2', and 'six less than' means 'subtract 6 from the expression'.

3. The sum of a and b increase by the quotient of b and a means a + b + \frac{b}{a}.

Here, 'quotient of b and a' means 'b divided by a'.

4. Four times the sum of r and a increased by twice the different r and s means 4(r + a) + 2(r - s).

Here, 'increased by' means 'addition' and 'different r and s' means 'r minus s'.

5. Triple the difference of 55 and cube of w means 3(55 - w^{3}).

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7 0
4 years ago
I need help with question 10 please.
galben [10]

Answer:

You can determine which graph is the steepest by seeing which slope has a negative number. If it is negative then the slope will be steep.

Step-by-step explanation:

7 0
3 years ago
In a school, 42% of the students liked to play football and 24% liked to play tennis. The rest of the students choose swimming I
Mashutka [201]

Answer:

Students liked to play football are 210 .

Step-by-step explanation:

Formlua

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

In a school, 42% of the students liked to play football and 24% liked to play tennis.

As the percentage is always 100% .

Percentage of students choose swimming = ( 100 - 42 - 24) %

                                                                       = (100 - 66) %

                                                                       = 34 %

The rest of the students choose swimming If 170 students choose swimming .

Part value = 170

Percentage = 34 %

Putting all the values in the formula

34 = \frac{170\times 100}{Total\ value}

Total\ value = \frac{17000}{34}

Total value = 500

As the percentage for students liked to play football = 42%

Putting in the formula

42 = \frac{Part\ value\times 100}{500}

Part\ value= \frac{42\times 500}{100}

Part\ value= \frac{21000}{100}

Part value = 210

Thus

Students liked to play football = 210

Therefore the students liked to play football are 210 .

6 0
3 years ago
With a ruler, Diamond determines the diameter of a golf ball to be 4.2 centimeters (a radius of 2.1 cm) and the diameter of a pr
Troyanec [42]

Answer:

Diamonds is incorrect, because, the volume of the softball is 8 times the volume of the golf ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

where

r is the radius

step 1

Find the volume of the golf ball

we have

r=2.1\ cm\\pi =3.14

substitute

V=\frac{4}{3}(3.14)(2.1)^{3}=38.77\ cm^3

step 2

Find the volume of the the softball

we have

r=4.2\ cm\\pi =3.14

substitute

V=\frac{4}{3}(3.14)(4.2)^{3}=310.18\ cm^3

step 3

Find the ratio of volumes

Divide the volume of the softball by the volume of the golf ball

\frac{310.18}{38.77}=8

That means

Diamonds is incorrect, because, the volume of the softball is 8 times the volume of the golf ball

7 0
3 years ago
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