Answer:
x= 25
Step-by-step explanation:
2x + 3 + 4x + 6 + 12x + 18 = 477
FIRST combine like terms
take all "x"
2+4+12= 18x
take all whole numbers
3+6+18= 27
18x+27= 477
now solve for x
-27 on both sides
18x= 450
÷18 on both sides
x= 25
Answer:
-11 =x
Step-by-step explanation:
-1 = (5+x) /6
multiply by 6
-6 = 5+x
-11= x
Answer:
The first set of consecutive even integers equals (8 , 6)
The second set is ( - 8 and - 6) which also works.
Step-by-step explanation:
Equation
(x)^2 + (x + 2)^2 = (x)(x + 2) + 52 Remove the brackets on both sides
Solution
x^2 + x^2 + 4x + 4 = x^2 + 2x + 52 Collect the like terms on the left
2x^2+ 4x+ 4 = x^2 + 2x + 52 Subtract right side from left
2x^2 - x^2 + 4x - 2x + 4 - 52 = 0 Collect the like terms
x^2 + 2x - 48 = 0 Factor
(x + 8)(x - 6) = 0
Answer
Try the one you know works.
x - 6 = 0
x = 6
Therefore the two integers are 6 and 8
6^2 + 8^2 = 100
6*8 + 52 = 100
So 6 and 8 is one set of consecutive even numbers that works.
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What about the other set.
x + 8 = 0
x = - 8
x and x + 2
- 8 and -8 + 2 = - 8, - 6
(- 8 )^2 + (- 6)^2 = 100
(-8)(-6) + 52 = 100
Both sets of consecutive numbers work.
The coefficient of the third term in this expression is +2 from the term (+2x).
Answer:
52
Step-by-step explanation:
120 x .25 = 30
120 - 30 = 90
90 x 0.2 = 18
90 - 18 = 72
72 -20 = <u>52</u>
