Answer:
6(√2 - 5√3).
Step-by-step explanation:
3√2 ( 2 - 5 √6)
= 6√2 - 15√12
= 6√2 - 15√4√3
= 6√2 - 30√3
= 6(√2 - 5√3)
Answer:
$4000 was invested at 4%, 2500 was invested at 3%
Step-by-step explanation:
First and foremost the question has to be define.
Total amount raised is $6500
Savings account percentage simple interest =3%
Government Bond: 4% simple interest
Equation for amount invested at each rate:
(6500-x)0.03 + 0.04x = 235
195 - 0.03x + 0.04x = 235
0.01x = 40
x = 4000
$4000 was invested at 4%, 2500 was invested at 3%
The constant is a number by itself.....no variables
so the constant in y = 4x - 110 is : -110
Let,
Lee’s class size = L
Fred’s class size = F
We are told that Lee’s fifth-grade class has 1.0 times as
many students as Fred’s
Therefore, L = 1F
L = F
Question A. If there are a total of 60 students, how many
students does Fred’s class have?
Total number of students = 60
L + F = 60
Since L = F
L + F = F + F + 60
F + F = 60
2F = 60
F = 60/2
F = 30
Therefore, if there are a total of 60 students, Fred’s class
has 30 students.
QUESTION B. If there are a total of 60 students, how many
students does Lee’s class have?
Total number of students = 60
L + F = 60
Since L = F
L + F = L + L + 60
L + L = 60
2L = 60
L = 60/2
L = 30
Therefore, if there are a total of 60 students, Lee’s class
has 30 students.
11 and 1/2............................................
