Answer:
independent
Step-by-step explanation:
9(4+6) because you can use distributive property to get the answer
1/8 of the cake has not been eaten.
Given:
monthly budget = 155.60
cost of movies = x
cost of video games = 2.5x
movies + vidgames < budget
x + 2.5x < 155.60
3.5x < 155.60 *expression of inequality
3.5x < 155.60
<u>÷3.5 ÷3.5</u>
x < 44.46
Travis should spend less than 44.46 on movies.
Assuming movie cost 44.
x + 2.5x < 155.60
44 + 2.5(44) < 155.60
44 + 110 < 155.60
154 < 155.60
The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10
The steps are:
1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4
2) Combine like terms => 3 [2^ (2t - 5) ] = 14
3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3
4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)
5) Divide both sides by log (2) =>
log (14/3)
2t - 5 = -------------------
log (2)
6) transpose - 5+>
log (14/3)
2t = ------------------- + 5 = 2.22 + 5
log (2)
2t = 7.22
7) divide both sides by 2 => t = 7.22 / 2 = 3.61