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
Use calculus to find the first order conditions. Use solver then to solve the first order conditions. Show your work for the fir
DaniilM [7]

The values of x and y are 70/22 and 30/22 respectively by using the first-order condition of differential calculus.

<h3>What is the first-order condition in differential calculus?</h3>

A first-order differential equation is represented by the equation \mathbf{ \dfrac{dy}{dx} =f (x,y) }with 2 variables x & y, including its function f(x,y) specified on a xy-plane.

Given that:

\mathbf{f(x,y) =-22x^2+22xy-11y^2+110x-40y-23}

Let us first differentiate the above equation with respect to x, we have:

\mathbf{\dfrac{\partial f(x,y) }{\partial x}  = -44x +22y -0+110-0-0=0}

\mathbf{\implies  -44x +22y+110=0}        (multiply by -1)

44x - 22y = 110    ------ (equation 1)

Now, differentiating with respect to y, we have:

\mathbf{\dfrac{\partial f(x,y) }{\partial y}  =0 +22x-22y +0-40-0=0}

\mathbf{\implies 22x-22y -40=0}

22x - 22y = 40      ----- (equation 2)

Now, we have a system of equations:

44x - 22y = 110

-                      ---- ( subtracting equation 2 from 1; elimination method)

<u> 22x - 22y = 40  </u>

<u>22x    + 0  = 70    </u>

<u />

x = 70/22

Replacing the value of x into equation (1), we have:

44x - 22y = 110

44(70/22) - 22y = 110

140 - 22y = 110

140 - 110 = 22y

30 = 22y

y = 30/22

Learn more about the first-order conditions in differential calculus here;

brainly.com/question/14528981

#SPJ1

4 0
1 year ago
You run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at
Sonja [21]
B) it would make more since because it how far you and how much time you meet again at the starting line
6 0
3 years ago
Each patron pays an annual fee of $36 to the library at the library collects $20,304 for an annual fee how many patrons are ther
IrinaK [193]
Cuuck
in ur mom anwser 2692
5 0
2 years ago
Multiply. Express your answer in simplest form. 1/8 × 5/6
Gennadij [26K]

Answer:

\frac{5}{48}

Step-by-step explanation:

  1. \frac{1}{8} × \frac{5}{6} = \frac{5}{48}
4 0
3 years ago
Read 2 more answers
What is 10 over 64 in simplest form
kykrilka [37]
To write a fraction in simplest form, you have to divide the numerator and the denominator by their greatest common factor.

Factors of 10: 1, 2, 5, 10
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Common Factors: 1, 2
Greatest Common Factor: 2

\frac{10}{64} = \frac{10/2}{64/2} = \frac{5}{32}
6 0
3 years ago
Other questions:
  • 5.Sebuah kapal selam berada 420.5 m di bawah aras laut. Kapal selam itu menyelam sedalam 185.6 m dan kemudian menaik 200.9 m. Te
    12·1 answer
  • What is the simplest form of 4/8
    5·2 answers
  • What is the answer to 7(1 + 4k)
    13·2 answers
  • Which expression is a factor of 12x2 + 29x – 8?
    14·1 answer
  • Researchers studying the relationship between honesty, age, and self-control conducted an experiment on 160 children between the
    5·1 answer
  • Which expression is equivalent to 4 (x+3)?
    8·2 answers
  • Please help it’s due tonight. Your help will be greatly appreciated.There is also a graph. WILL PUT YOU AS BRAINLY!!!!!!
    10·1 answer
  • Rick found the are of this shape is 15 square unit. If he used a smaller unit square, would his measurement be greater than 15 s
    10·2 answers
  • PLZ HELP ME WITH THIS, IT COMES WITH AN EXAMPLE AND A QUESTION!?!!?
    10·2 answers
  • Jaime makes the following claim.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!