Remember you can do anything to an equation or inequality as long as ou do it to both sides
also, when multiplying by a negative number in an inequality, don't forget to flip the sign
5+5(x+4)<20
minus 5 from both sides
5(x+4)<15
divide both sides by 5
x+4<3
minus 4 from both sides
x<-1
Answer:
Y=5
Step-by-step explanation:
https://www.mathpapa.com/algebra-calculator.html?q=2(y%2B3)%3D16
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 .
Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by:
![-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h](https://tex.z-dn.net/?f=-%5B3h%20%2B%207h%282-h%29%5D%20%3D%20-%5B3h%20%2B%2014h%20-%207h%5E2%5D%20%3D%20-%5B17h%20-%207h%5E2%5D%3D7h%5E2%20-%2017h)
Answer:
∠YXZ = 58°
Step-by-step explanation:
Use the angle sum theorem and the given relations.
∠WXY +∠WXV = ∠YXV
∠WXY +(11° +3∠WXY) = 139°
4∠WXY = 128° . . . . . subtract 11°
∠WXY = 32° . . . . . . . divide by 4
Similarly, ...
∠WXY +∠YXZ = 90°
∠YXZ = 90° -∠WXY = 90° -32°
∠YXZ = 58°