Answer:
the last one
Step-by-step explanation:
If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
Consider the first odd integer as x
Then the next consecutive odd integer = x+2
The 6 times the second integer= 6(x+2)
= 6x+12
Sum of an integer and 6 times the next consecutive odd integer is 61
Then the equation will be
x + 6x+12 = 61
Add the like terms in the equation
(1+6)x + 12 = 61
7x +12 = 61
Move 12 to the right hand side of the equation
7x = 61-12
7x = 49
x = 49/7
x = 7
The second number is
x+2 = 7+2
= 9
Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
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Answer:
Step-by-step explanation:
75x + -300 = 25x + 200
Reorder the terms:
-300 + 75x = 25x + 200
Reorder the terms:
-300 + 75x = 200 + 25x
Solving
-300 + 75x = 200 + 25x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25x' to each side of the equation.
-300 + 75x + -25x = 200 + 25x + -25x
Combine like terms: 75x + -25x = 50x
-300 + 50x = 200 + 25x + -25x
Combine like terms: 25x + -25x = 0
-300 + 50x = 200 + 0
-300 + 50x = 200
Add '300' to each side of the equation.
-300 + 300 + 50x = 200 + 300
Combine like terms: -300 + 300 = 0
0 + 50x = 200 + 300
50x = 200 + 300
Combine like terms: 200 + 300 = 500
50x = 500
Divide each side by '50'.
x = 10
Simplifying
x = 10
The expression y = y + 8 does neither represent an odd number nor an even number.
<h3>Does represent a given equation an even or odd number or neither?</h3>
In this problem we must check if a given algebraic equation represents an even number or an odd number or neither by using algebraic means. Even numbers are integers, whose last digit is 0, 2, 4, 6 or 8, whereas odd numbers are integers, whose last digit is 1, 3, 5, 7 or 9. Now we proceed to check the expression:
y = y + 8 Given
y + (- y) = 8 Compatibility with addition / Existence of additive inverse / Modulative property
0 = 8 Existence of additive inverse / Modulative property / Result
The expression y = y + 8 does neither represent an odd number nor an even number.
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Answer:
The last one 4x4
Step-by-step explanation:
