Answer:
The Distributive Property.
Step-by-step explanation:
4(x - 1) = 12
When distributing out the 4, it must go to all the terms within the brackets like this:
4x - 4 = 12.
4x = 16
x = 4.
1500 - 400 = how much sodium u can consume for the rest of the day
Answer:
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one student ticket.
On the first day of ticket sales the school sold 24 adult tickets and 3 student tickets for a total of $223.00. This means that
24x + 3y = 223 - - - - - - - - - - - -1
The school took in $152 on the second day by selling 7 adult tickets and 6 student tickets. This means that
7x + 6y = 152 - - - - - - - - - - - - - -2
Multiplying equation 1 by 6 and equation 2 by 3, it becomes
144x + 18y = 1338
21x + 18y = 456
Subtracting, it becomes
123x = 882
x = 882/123
x = 7.17
Substituting x = 7.17 into equation 2, it becomes
7 × 7.17 + 6y = 152
50.19 + 6y = 152
6y = 152 - 50.19 = 101.81
y = 101.81/6 = 16.97
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where 
= side length
a = 4, so:
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
