Answer:
4
Step-by-step explanation:
Let x = the number of years
In x years, Mai's mother's age will be: 28 + x
and Mai's age will be: 12 + x
Then, 28 + x = 2(12 + x)
Distribute the 2 28 + x = 24 + 2x
Subtract 24 from each side 4 + x = 2x
Subtract x from each side x = 4
In four years, Mai's mother will be twice Mai's age.
<em>Check:
</em>
28 + 4 = 2(12 + 4)
32 = 2 × 16
32 = 32
(a-b) X (a+b)
= aXa - bXa +aXb -bXb (distributing)
Now, cross product of a vector with itself = 0
so, aXa = 0, bXb = 0
Also, aXb = - bXa
so,
(a-b) X (a+b) = 0 + aXb + aXb + 0
= 2aXb
hence, proved :)
First set up the equation (sum of the angles is 180)
2x + 2(x-1) + (5x +2) = 180
distribute:
2x + 2x -2 + 5x +2 = 180
combine like terms:
9x = 180
solve for x:
x = 20
SO:
2x° = 2(20) = 40 degrees
2(x-1)° = 2(20) - 2 = 40 - 2 = 38 degrees
5x + 2°= 5(20) + 2 = 100 + 2=102 degrees
check: 40 + 38 + 102 = 180
Answer:
5 months
Step-by-step explanation:
Given :The bank withdraws $15 from Betsy’s checking account as a service fee every month.
To Find : Betsy has budgeted $75 for the next few service fees. For how many months will the service fee be covered?
Solution :
Since we are given that $15 is service fees for 1 month
So. $1 is service fee for month = 
So, $75 is service fee for months = 
= 
Hence$75 service charge will be covered for 5 months .
