BREAKDOWN
10 times: 10 ×
The sum of: ( ) + ( )
which would be : 10 × ( ) + ( )
half a number: 10 × ( X/2 ) + ( )
and 8: 10 × ( X/2 ) + ( 8 )
is 12 : 10 × ( X/2 + 8 ) = 12
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SIMPLIFICATION
Multiply ten: 10 X (X/2 + 8) = 12
which equals to: 5x + 80 = 12
bring the like terms together: 5x = 80 - 12
Equals: 5x = 78
Find out X:. x = 78/5
FINAL ANSWER:. X = 15.9
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3x+1=2x+4+x
3x
3x+1=3x+4
-1 -1
3x=3x+3
-3x
x=3
i think that would be your anser
Commutative:
a+b+c=a+c+b
1.3+23.4+3.4=23.4+1.3+3.4
Associative:
(a+b)+c=a+(b+c)
(1.3+3.4)+23.4=1.3+(3.4+23.4)
Answer:
2 * 2 * 3 * 3
Step-by-step explanation:
We are to write the value of 36 as a product of of prime factor
Factorizing 36;
2| 36
2| 18
3| 9
3| 3
| 1
Multiplying out all the factors;
36 = 2 * 2 * 3 * 3
Hence the prime factors of 36 are 2 * 2 * 3 * 3
Answer:
Step-by-step explanation:
length * width * height = 1050 cubic ft
(10x + 5)* (2x -1) * (x +3) = 1050
(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)
= 10x*2x - 10x*1 + 5*2x - 1*5
= 20x² - 10x + 10x - 5 = 20x² - 5
(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)
=20x²*(x +3) - 5*(x +3)
= 20x³ + 60x² - 5x - 15
20x³ + 60x² - 5x - 15 = 1050
20x³ + 60x² - 5x - 15 - 1050 = 0
20x³ + 60x² - 5x - 1065 = 0
By trial and error method , (x -3 ) is a factor
Synthetic method:
3 ( 20 60 -5 -1065
( 60 360 1065
20 120 355 0
20x² + 120x + 355 = 0
Divide the equation by 5
4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.
So, value of x = 3
height = 3+ 3 = 6 ft
Length = 10*3 + 5 = 30 + 5 = 35ft
Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft
Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft
