1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
artcher [175]
3 years ago
5

11.1.30 How many three-digit even numbers are possible if the leftmost digit cannot be zero?

Mathematics
1 answer:
Ann [662]3 years ago
4 0

The total number of 3 digit even numbers is 450

Step-by-step explanation:

Step 1 :

We need to determine the  number of 3 digit numbers which is even and the leftmost digit is not zero .

The  3 digits with left most digit not equal to zero starts from 100 and goes up to 998

If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.

Step 2:

The last number l  in this series is 998 .

So we have

a = 100

l = 998

d = 2

The nth term in the arithmetic progression is given by a + (n-1) d

so substituting the above values we get

100 + (n-1) 2 = 998

2n = 900  => n = 450

Step 3 :

Answer :

The total number of 3 digit even numbers is 450

You might be interested in
Suppose you and some friends go to the movies and buy some snacks. The snack bar charges $2 for a box of candy and $6 for the “c
aleksley [76]
If what you are trying to do is buy the most you can and still having some change left over then the answer would be 1 combo and 2 boxes of candy
3 0
3 years ago
Can someone help me #11 PLEASE SHOW YOUR WORK
damaskus [11]
Since the triangle is equilateral, QR = RS = QS.
a. MS = (1/2)74
    MS = 37
b. Half of the equilateral triangle makes a right triangle. Use Pythagorean Theorem to find QM. 
a^2 + b^2 = c^2
37^2 + b^2 = 74^2
1369 + b^2 = 5476
subtract 1369 from both sides
b^2 = 4107
take the square root if both sides
b = 64.1
QM = 64.1
5 0
3 years ago
The number 0.4 can be written as 4/10, so it is a rational number?
riadik2000 [5.3K]
Hello, 

               Yes of course 0.4 or 4/10 is a rational number :)
 

                                                                          Have a nice day :)
5 0
3 years ago
Read 2 more answers
Whats the rule for the pattern 8,6,9,7,10.....?
Delicious77 [7]

Answer:

subtract 2 and add 3

Step-by-step explanation:

8-2=6

6+3=9

9-2=7

7+3=10

4 0
3 years ago
Ayuda por favor/Help please
Akimi4 [234]

X=2

El mejor programa  para que te ayuda es Math,

way

4 0
2 years ago
Other questions:
  • Rearrange the formula d = m/v for v
    14·2 answers
  • Find the slope of a line perpendicular to y=-2/5x+4/5.
    9·1 answer
  • MAY SOMEBODY HELP ME THANKS!
    9·2 answers
  • What are common factors of 36 and 14
    9·1 answer
  • A (0, 2), B (–2, 6), and C (4, 0). Find the coordinates of the orthocenter
    14·1 answer
  • Help needed: Solve for x. Round to the nearest tenth, if necessary.
    15·1 answer
  • Exit
    13·2 answers
  • Of my 135 students, 20% have cowboy boots. How many students wear cowboy boots?
    12·1 answer
  • (x + 1)(x - 1)<br> I dont understand this could any1 help me
    8·2 answers
  • Susan sells cookies. She was gifted all of her supplies. Susan uses the function p(x) = 2x to represent her profit after selling
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!