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PilotLPTM [1.2K]
3 years ago
9

How many 3-digit numbers exist, whose digits are distinct even numbers.

Mathematics
2 answers:
My name is Ann [436]3 years ago
6 0

Answer:

48

Step-by-step explanation:

Easy dubs

KIM [24]3 years ago
4 0

Answer:

48

Step-by-step explanation:

To solve this question will demand use of permutation :

Now, we have 5 single digit even numbers which are 0,2,4,6,8

Now, the hundredth place will be able to hold any digit except 0 because if it is done otherwise, it will make it a two digit number.

Also, the tens digit can now hold four digits as one digit is already placed in hundredth place.

Likewise, the unit digit can now hold any of the remaining three digits.

From the fundamental principle of counting, the required number of three digit numbers is :

4 x 4 x 3 = 48

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The list shows numbers in order from least to greatest.
Andrei [34K]

Answer:

999

Step-by-step explanation:

8 0
3 years ago
Solve<br> 7W + 3 = 5W + 9
MAVERICK [17]
7w + 3 = 5w + 9


Step 1:

Get the 3 to the other side by subtracting

7w = 5w + 6


Step 2:

Get the 5w to the other side by subtracting

2w = 6


Step 3

Divide

6/2 = 3

Answer is 3
5 0
3 years ago
Read 2 more answers
Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows.
Arturiano [62]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

m = \frac {y2-y1} {x2-x1}

We have the following points:

(x1, y1): (- 7,25)\\(x2, y2): (- 4,13)

Substituting the values:m = \frac {13-25} {- 4 - (- 7)} = \frac {-12} {- 4 + 7} = \frac {-12} {3} = - 4

Thus, the line is of the form:

y = -4x + b

We substitute one of the points and find "b":

13 = -4 (-4) + b\\13 = 16 + b\\b = 13-16 = -3

Finally we have to:

y = -4x-3

Answer:

The equation es y = -4x-3

6 0
3 years ago
Read 2 more answers
Which equation is equivalent to 3/4=2x-1/2y+4
lyudmila [28]

Answer:

option a and d

Step-by-step explanation:

\frac{3}{4}  =  \frac{2x - 1}{2y + 4} \\ 3(2y + 4) = 4(2x - 1) \\ 6y + 12 = 8x - 4 \\ now \\ 6y = 8x - 4 - 12 \\ 6y = 8x - 16 \\ y =  \frac{8x - 16}{6} \\   y =  \frac{8x}{6}  -  \frac{16}{6}  \\ y =  \frac{4x}{3}  -  \frac{8}{3}  \\ y =  \frac{4}{3} x -  \frac{8}{3}  \\a nd \\  \\ 6y + 12 = 8x - 4 \\  6y + 12 + 4 = 8x \\ 6y + 16 = 8x \\  \frac{6y + 16}{8}  = x \\  \frac{6y}{8}   +  \frac{16}{8}  = x \\  \frac{3y}{4}  + 2 = x \\  x = \frac{3}{4} y + 2

6 0
3 years ago
A. 3x − 7 = −19; x =
djyliett [7]

Answer:

x =-4

Step-by-step explanation:

3x − 7 = −19

Add 7 to each side

3x − 7+7 = −19+7

3x = -12

Divide by 3

3x/3 = -12/3

x =-4

6 0
3 years ago
Read 2 more answers
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