Answer:
about 70 years
Step-by-step explanation:
Life expectancy (e) improves by 5.7 years every 10 years, so 5.7/10 = 0.57 years per year. For t years after 2009, it can be modeled by ...
e = 0.57t +80
We want to find when that is 120:
120 = 0.57t +80
40 = 0.57t
40/0.57 = t ≈ 70.2
About 70 years from 2009, humanity may achieve a life expectancy of 120 years.
5n+5=45
Subtract 5 from both sides
5n=40
Divide both sides by 5
n=8
I hope this helps
Answer:
The fraction form of 33% is 1/3
Answer:
The width of the walkway is 4 feet.
Step-by-step explanation:
The garden and a walkway around its perimeter have an area of 460 square feet.
The length of the garden = 15 feet
The width of the garden = 12 feet
Assuming that walkway is of uniform width, we can solve the following equation.

Expanding this we get;


We will solve this using quadratic equation formula:

Here a = 4 , b = 54 , c = -280
We get the roots as x = 4 and x = 
Neglecting the negative value, we will take x = 4 feet.
Hence, the width of the walkway is 4 feet.
4. You're right that the leg labeled

occurs in a 1-to-2 ratio with the hypotenuse, but more to the point, it also occurs with the leg of length 10 in a 1-to-

ratio. In other words,

and so

5. In this kind of triangle, the legs form a 1-to-

ratio with the hypotenuse, so it follows that

.
6. You have

and

mismatched. The larger leg in this kind of triangle has the

scaling factor. So in fact,

, which makes the larger leg

, and the hypotenuse would be

.