Answer:
multiplying both-side of the equation by 3
substituting 36 for p to check the solution
Step-by-step explanation:
To solve the equation p/3 = 12, we will follow the steps below;
first multiply 3 to both-side of the equation, that is:
p/3 × 3 = 12 × 3
On the left-hand side of the equation, 3 at the numerator will cancel-out 3 at the denominator, leaving us with just p while on the right-hand side of the equation 12 will be multiplied by 3
p= 36
To check the correctness of the equation, we can substitute p = 36 back into the equation and then check, that is;
p/3 = 12
36/3 = 12
This implies p = 36 is correct
Answer:
Step-by-step explanation:
Givens
Let the first piece be x
Let the second piece 4x
Let the third piece = 5x
Total length = 40 inches.
Equation
x + 4x + 5x = 40 Combine
Solution
10x = 40 Divide by 10
10x/10 = 40/10
x = 4
Answer
The smallest piece (x) = 4
The middle piece 4x = 4*4 = 16
The largest piece 5x= 5 * 4 = 20
S = 4
3(10) = 10 + 5s
30 = 10 + 5s
30 - 10 = 5s
20 = 5s
20 ÷ 5 = s
4 = s
The complete set of common factors of 6 and 12 is D. {1,2,3,6}
