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lozanna [386]
3 years ago
13

Serial numbers for a product are to be made using 3 letters followed by 3 numbers. If the letters are to be taken from the first

5 letters of the alphabet with no repeats and the numbers are taken from the digits
0 through 9 with repeats possible, how many serial numbers can be generated?
Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0
The first letter has 5 choices, second letter then has 4 choices, the third then has 3 choices.  The first number has 10 choices, second number has 10 choices, third number has 10 choices. 

So to find the total possibilities take 5*4*3*10*10*10 = 60,000
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Cindy plans to shop for her school supplies and wants to know how much money she would need to spend. from her friend she knows
vlabodo [156]

Let the cost of 1 notebook be x and the cost of 1 binder be y.

4 notebooks and 3 binders would cost 23.5

Therefore, 4x + 3y = 23.5     (1)

7 notebooks and 6 binders would cost 44.5

Therefore, 7x + 6y = 44.5     (2)

Multiply the first equation by 2.

8x + 6y = 47     (3)

(3) - (2) gives

x = 2.5

Substitute the value of x in (1), we get,

4(2.5) + 3y = 23.5

10 + 3y = 23.5

3y = 23.5 - 10

3y = 13.5

y = 13.5/3

y = 4.5

Hence, cost of 5 notebooks and 3 binders is:

5x + 3y = 5(2.5) + 3(4.5)

           = 12.5 + 13.5

           = 26

Hence, cost of 5 notebooks and 3 binders is $26.

4 0
3 years ago
How do I find the x-intercept to this?<br><br> 9x + 12y= 36
Wewaii [24]
You can simply put the equation as 9x = 36 and divide by 9, then x = 4
4 0
3 years ago
Read 2 more answers
Please Help me on this one<br> Is for tomorrow and I don’t understand
DerKrebs [107]
For the first triangle add 45 and 95 and subtract it from 180
8 0
3 years ago
HELP ME HELP ME please !!! 10 points
USPshnik [31]

Answer:

The slope is \frac{3}{2}

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

  • m is the slope of the line whose rule is m=\frac{y2-y1}{x2-x1}
  • b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ m=\frac{15-12}{4-2}=\frac{3}{2}

∴ m = \frac{3}{2}

∴ The slope is \frac{3}{2}

→ Substitute its value in the form of the equation above

∴ y = \frac{3}{2} x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = \frac{3}{2} (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

∴ The y-intercept is 9

6 0
3 years ago
20. Determine the following product. 5g(-3g²h - 7g + 9)
soldier1979 [14.2K]
Distribute 5g to all of the terms in parentheses:

5g \times -3g^2h = -15g^3h
5g \times -7g = -35g^2
5g \times 9 = 45g

-15g^3h - 35g^2 + 45g

The answer is A.
4 0
3 years ago
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