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shusha [124]
3 years ago
10

How many 3 digit numbers can be made if no digit is repeated and the number can not begin with a zero?

Mathematics
2 answers:
lapo4ka [179]3 years ago
7 0

digit #1 - 9 numbers (1-9)

digit #2 = 9 numbers (0-9 minus the first digit)

digit #3 = 8 numbers ( 0-9 minus the first 2 digits)

9*9*8 = 648 combinations

PolarNik [594]3 years ago
3 0
We have to select 3 digits out of 10 with the following conditions:
1) It can't start with 0
 2) repetition is not allowed.
 Let ABC this number:
A = 9 choices (out of 10, excluding 0, because it can't be 0)
B = 9 choices (out of 10 including 0, because it can be 0)
C= 8 choices (out of 10 because 2 digits already selected)
 The total ways to write this number are:
9 x 9 x 8 = 648 ways

Another method:
A can be written in ⁹C₁
B can be written in ⁹C₁
C can be written in ⁸C₁

Total ways: ⁹C₁ x ⁹C₁ x ⁸C₁ = 648 ways
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A painter charges an initial fee of $50 and $30 for each hour of labor. Write a linear function to determine the total cost. How
il63 [147K]
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.

The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1

So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50

Replace y with f(x) to get f(x) = 30x+50

The linear function for the cost is f(x) = 30x+50

Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same

Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.

f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185

It will cost 185 dollars to have the painter work for 4.5 hours
7 0
3 years ago
Can someone help me with this problem and show your work
zloy xaker [14]
55 degrees

The supplementary angle is 55 because 180-125=55

Then subtract the interior angles 180-75-55=55
3 0
2 years ago
I need help with this can you show me how to work it out pls
JulsSmile [24]

Answer:

Answer is in the pic

Step-by-step explanation:

A translation is just a movement of the figure so in this case you just add 3 to the x part of the coordinate.

so originally k (-2,5)    m (-3,1)      l (1,1)

add 3 to x so

k (1,5)   m (0,1)   l (4,1)

3 0
2 years ago
How many 12 x 12 pavers for 600 square feet?
34kurt
First, we calculate the area of one paver. This is:
12 x 12 = 144 square feet
Now, the number of pavers required may be determined by dividing the total surface area to be covered by the surface area of one paver, as:
number of pavers = 600 / 144
Number of pavers = 4.2

Because 0.2 pavers can not be obtained, 5 pavers are needed to completely cover 600 square feet.
5 0
3 years ago
Please help due soon
Schach [20]

Answer:

You should divide (÷)

Step-by-step explanation:

4.80÷ 80/100

then u add them together and get ur answer

4 0
3 years ago
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