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
Answer:
a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16
equation of sequence: 
Step-by-step explanation:
a₁ + a₂ + a₃ = 6
a₁ + a₁ + d + a₁ + 2d = 6
3a₁ + 3d = 6
a₁ + d= 2 ⇒ a₁ = 2 - d
a₄ = 16
a₁ + 3d = 16
2 - r + 3d = 16
2d = 14
d = 7
a₁ = 2-7 = -5
a₁ = -5, d = 7 ⇒ a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16
equation of arithmetic sequence:

Answer: 6 years old.
Step-by-step explanation:
For this exercise let "x" represents your present age.
According to the information provided in the exercise, you know that In three years, Chad will be three times your present age.
Then, your age in three years can be represented with the following expression:

Knowing at that time Chad's age will be three times yours and you will be half as old as old as Chad, you can write the following equation to represent this situation:

Therefore, the final step is to solve for "x" in order to find its value.
You get that this is:

Answer:
Expanded: 3,000,000- 800,000- 60,000- 2,000- 700- 90- 5
Standard: 386,2795
Hope this helps!!