Answer:
The age of the oldest brother must be greater than 21 years
Step-by-step explanation:
Let
x, x+1 and x+2 -----> the ages of the brothers
we know that
The sum of their ages must be greater than 60
so
The inequality that represent this situation is
![x+(x+1)+(x+2) > 60](https://tex.z-dn.net/?f=x%2B%28x%2B1%29%2B%28x%2B2%29%20%3E%2060)
Solve for x
Combine like terms
![3x+3 > 60](https://tex.z-dn.net/?f=3x%2B3%20%3E%2060)
Subtract 3 both sides
![3x > 60-3](https://tex.z-dn.net/?f=3x%20%3E%2060-3)
![3x > 57](https://tex.z-dn.net/?f=3x%20%3E%2057)
Divide by 3 both sides
![x > 19](https://tex.z-dn.net/?f=x%20%3E%2019)
so
if ![x > 19](https://tex.z-dn.net/?f=x%20%3E%2019)
![x+1 >20\ years\\x+2 > 21\ years](https://tex.z-dn.net/?f=x%2B1%20%3E20%5C%20years%5C%5Cx%2B2%20%3E%2021%5C%20years)
therefore
The age of the oldest brother must be greater than 21 years
Answer:
0.25
Step-by-step explanation:
<em>there are four people being considered for the position</em>
total=4
<em>Three of the applicants are over 60 years of age</em>
4(total) - 3 (over 60 years)= 1 below 60 years
<em>Two are female</em>
4(total) - 2 (female)= 2 male
<em>only one female is over 60</em>
2(female)-1 (female over 60)= 1 female below 60
<u>then the four candidates are</u>
<u>1. female over 60</u>
<u>2. female below 60</u>
<u>3. male over 60</u>
<u>4. male over 60</u>
probability that the candidate is over 60 and female =1/4=0.25
Answer:
This is the “best” method whenever the quadratic equation only contains x2 terms.
The general approach is to collect all x2 terms on one side of the equation while keeping the constants to the opposite side.
step by step: but in order to solve a quadratic using the square root principle the problem must be in the correct form. To solve a quadratic using the square root principle the quadratic must be in vertex form, a(x – h)2 + k.
Answer:
The answer is 20
Step-by-step explanation:
(7-5)=2
2^4 = 16
16 + 4 = 20
Answer:
36 feets
Step-by-step explanation:
The dimension of bulletin board = 7 feets by 11 feets
Bulletin boards are shaped as a rectangle :
To add a black border ; two of the sides will be of length 7 feets (length) while the other 2 will be of 11 feets (width) each or vice-versa
However, total Lenght of black border :
(11 * 2) + (7 * 2)
22 + 14
= 36 feets