F= -1 2/3 or 5/3
In order to find the answer all you have to do is multiply both sides by -4/3.
-3/4f × -4/3 = f
-4/3 × 5/4 = -20/12
-20/12 simplified is -5/3 or -1 2/3
The trick to solving this problem is to realize that the independent variable is x, which represents the number of people who can attend the party without the total party cost exceeding $80.
This is the form of the inequality:
(total cost) [less than or equal to] $80
(rent) + (cost per guest)(number of guests) [less than or equal to] $80
$45 + $5.50 x [less than or equal to] $80
Simplify. To do this, subtract $45 from both sides of this inequality.
Divide both sides of the resulting inequality by $5.50.
What is the restriction on x?
Answer:
6
Step-by-step explanation:
7x + 3(-x + 6) = 42
use distributive property
7x + -3x + 18 = 42
positive + negative = negative
7x - 3x + 18 = 42
combine like terms
4x + 18 = 42
subtract 18 from both sides
4x + 18 - 18 = 42 - 18
18 is canceled out on the left side
4x + 0 = 24
4x = 24
divide both sides by 4
4x ÷ 4 = 24 ÷ 4
1x = 6
x = 6
Answer:
576
Step-by-step explanation:
8*8 = 64
If dimensions are tripled, you get 24. 24*24 = 576
Center piece was $40
Glasses were $2
I used the elimination method. I multiplied everything in the equation that represents the second order by five and subtracted it from the first orders equation. I then solved for y and got that each glass was $2. I then plugged the 2 back into the original equation to find that a centerpiece was $40.
(Attached)