Answer:
t = 0
Step-by-step explanation:
(7t - 2) - (-3t + 1) = -3(1 - 3t)
because you can not do anything inside the parantheses, you distribute. there aren't any numbers on the left side of the parantheses on the left side of the equation so we just imagine the number 1. on the right side of the equation, just distribute normally
[ 1(7t - 2) -1(-3t + 1) = -3(1 - 3t) ]
will be
7t - 2 + 3t - 1 = -3 + 9t
add like terms
10t - 3 = -3 + 9t
subtract 9t from both sides
t - 3 = -3
add 3 to both sides
t = 0
Answer:
Step-by-step explanation:
1 table and 2 chairs (2-seat table)
1 table and 4 chairs (4-seat table)
120 people so we need 120 chairs
Some Possibilities :
120 /4 = 30
0( 2-seat table) and 30 (4- seat tables) because 0·2 + 30·4 = 0+120 = 120
2( 2-seat table) and 29 (4- seat tables) because 2·2 + 29·4 = 4+ 116= 120
4( 2-seat table) and 28 (4- seat tables) because 4·2 + 28·4 = 8+ 112= 120
...
120/2 = 60
60( 2-seat table) and 0 (4- seat tables) because 60·2 + 0·4 = 120 + 0 = 120
58( 2-seat table) and 1 (4- seat tables) because 58·2 + 1·4 = 116 + 4 = 120
56( 2-seat table) and 2 (4- seat tables) because 56·2 + 2·4 = 112 + 8 = 120
...
Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>(x₁, y₁)</em><em> - point on a line</em>
<em>m</em><em> - slope</em>
<em />
We have
Substitute:
Convert to the standard form
<em> use the distributive property</em>
<em>add 5 to both sides</em>
<em>add 4x to both sides</em>
