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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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A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expression that represents the area of t
valentinak56 [21]

Answer:

Step-by-step explanation:

Part A:

A=lw

A=(6x + 4)*(2x + 11)

multiply it out:

A=6x*2x+6x*11+4*2x+4*11

A=12x^(2)+66x+8x+44

add like terms

A=12x^(2)+<u>66x+8x</u>+44

A=12x^(2)+(66+8)x+44

A=12x^(2)+74x+44

the expression used to find area is 12x^(2)+74x+44

Part B:

this is:

a second degree trinomial

since its leading coefficient (highest degree value of the expression) is 2

and

since it has three monomials (terms that are separated by + or - signs):

12x^(2)+<u><em>74x</em></u>+44

Part C:

(not sure about this one)

all area is positive or 0 (no area), so lets find the values of x that are true:

lets find the zeros

(6x + 4)*(2x + 11)=0

6x+4=0

6x=-4

x=-4/6

x=-2/3

2x+11=0

2x=-11

x=-11/2

6*(-11/2)+4

3*(-11)+4

-33+4

-29

2*(-2/3)+11

-4/3+33/3

29/3

6*(-2/3) + 4

2*(-2)+4

-4+4

0

x is greater than (-2/3)

Thus, any real number greater than -2/3 makes

(6x + 4)*(2x + 11) equals the expression:

12x^(2)+74x+44, where x is a real number greater than -2/3

if lets say x= 1, a counting number then:

(6*1 + 4)*(2*1 + 11)=12*1^(2)+74*1+44

(6+4)*(2+11)=12*1+74+44

10*13=12+118

130=130

130 and 1 are both counting numbers, proving the closure property of polynomials

7 0
3 years ago
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artcher [175]

Answer:

5432gffhjkkkolllmnnn

7 0
2 years ago
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The product of two numbers is 161 , one of number is 7,find the other number. ​
Diano4ka-milaya [45]

let the other number be " n "

now, according to above condition :

  • n × 7 = 161

  • n = 161 ÷ 7

  • n = 23

therefore, the other number would be 23.

4 0
3 years ago
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Flura [38]

The best method for solving the system of linear equation is by the use of algebraic methods.

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Hence answer is : USE ALGEBRAIC METHODS

4 0
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3+1/2=1 true or false
denis-greek [22]

I am pretty sure its false. I think this becuase 1/2 goes into 3, 6 times, not 1 time. Hope that helps

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