Answer:
≈
17
%
Explanation:
A sum of 7 can be achieved the following ways.
5 and 2
2 and 5
4 and 3
3 and 4
6 and 1
1 and 6
There are
6/2
=
3/6
possible outcomes and 6 ways to obtain the sum of 7 so
6 3/6
≈
17
%
Answer:
(5x²+2y² + 2xy)(5x²+2y²-2xy)
Step-by-step explanation:
25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)
The constant in an algebraic expression is the only term that cannot be changed.
Terms with variables are not constants as their values can changed as the variables change.
Our equation is 3m+7
M is a variable. Therefore the term '3m' is not the constant.
This leaves us with the term '7'. There is no variable present in this term.
'7' is the constant in this equation.
Answer:
5 hours
Step-by-step explanation:
Lillian is deciding between two parking garages.
Let the time required to park be represented by t
A = Amount
From Garage A
A = the amount Garage A would charge if Lillian parks for t hours
B = the amount Garage B would charge if Lillian parks for t hours.
Garage A
Garage A charges an initial fee of $4 to park plus $3 per hour.
A = $4 + $3 × t
A = 4 + 3t
Garage B charges an initial fee of $9 to park plus $2 per hour.
B = $9 + $2 × t
B = 9 + 2t
The hours parked, t, that would make the cost of each garage the same is calculated by equating A to B
A = B
4 + 3t = 9 + 2t
Collect like terms
3t - 2t = 9 - 4
t = 5 hours
Therefore, the hours parked, t, that would make the cost of each garage the same is 5 hours
