How do i simplify 2a x 3b x 4c

Mathematics

2 answers:

pav-90 [236]4 years ago

7 0

I don't think you can, because the letters are all different

AlekseyPX4 years ago

6 0

In the expression 2a x 3b x 4c,
2, 3 and 4 are the coefficients and a, b and c are the variables.
When such a multiplications is given, multiply the coefficients together and the variables together.

So the product of coefficients = 2×3×4 = 24
the product of variables = a×b×c = abc

Finally multiply the product of coefficients and product of variables.
Final product = 24×abc = 24abc

So 24abc is the answer.

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X=the units digit
y=the tens digit.
The number is: 10y + x
The reversed number is: 10x+y
The units digit is twice the tens digit, then: x=2y
a)we suggest this system of equations:

x=2y
2(10y+x)=12+(10x+y)

We can solve this system of equations by substitution method:
2(10y+2y)=12+[10(2y)+y]
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24y-21y=12
3y=12
y=12/3
y=4

x=2y
x=2(4)=8

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Answer: the number is 48.

b)
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we can suggest this system of equations:

8(x+y)=(10x+y)+19
x=y-2

We can solve this system of equations by substitution method.
8(y-2+y)=[10(y-2)+y]+19
8(2y-2)=11y-20+19
16y-16=11y-1
16y-11y=-1+16
5y=15
y=15/5
y=3

x=y-2
x=3-2=1

The number is: 10x+y=10*1+3=13

Answer:the number is 13.

c)
The number is: 10x+y
The number reversed is: 10y+x
we can suggest this system of equations:

y=2x
2(10x+y)=9+(10y+x)

We solve this system of equations by substitution method:
2(10x+2x)=9+[10(2x)+x]
2(12x)=9+21x
24x=9+21x
24x-21x=9
3x=9
x=9/3
x=3

y=2x
y=2*3=6

The number is: 10x+y=10*3+6=36

Answer: the number is 36

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