Use x as the variable for Kim's sister's age. kim being twice as old as her sister should be represented as 2x. their ages add up to 36 so put add the terms representing Kim and her sisters age and make it equal to 36.
Answer:
m<GEF = 66°
Step-by-step explanation:
(72+60)/2
= 132/2
= 66
Answered by GAUTHMATH
Answer: $2400
Step-by-step explanation:
SI = Prt / 100
SI = 2000 x .04 x 5
SI = 400
FInal Amount = 2000 + 400 = $2400
Answer:
the answer is f^2+8f+3^-4f
Answer:
The three consecutive integers are:
8, 9, 10
Step-by-step explanation:
Given:
There are three consecutive integers.
Three times the smallest is 14 more than the largest.
To find the three integers.
Solution:
Since the integers are consecutive , so each have a common difference of 1.
For example : -3,-2,-1
Let the integers be = ![x,(x+1),(x+2)](https://tex.z-dn.net/?f=x%2C%28x%2B1%29%2C%28x%2B2%29)
Three times the smallest is 14 more than the largest can be given as:
![3x=(x+2)+14](https://tex.z-dn.net/?f=3x%3D%28x%2B2%29%2B14)
Simplifying and solving for
.
![3x=x+2+14](https://tex.z-dn.net/?f=3x%3Dx%2B2%2B14)
![3x=x+16](https://tex.z-dn.net/?f=3x%3Dx%2B16)
Subtracting both sides by ![x](https://tex.z-dn.net/?f=x)
![3x-x=x-x+16](https://tex.z-dn.net/?f=3x-x%3Dx-x%2B16)
![2x=16](https://tex.z-dn.net/?f=2x%3D16)
Dividing both sides by 2.
![\frac{2x}{2}=\frac{16}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B16%7D%7B2%7D)
∴ ![x=8](https://tex.z-dn.net/?f=x%3D8)
Smallest integer = 8
Next integer = 9
Largest integer = 10