Answer:
x = 13 ; x = 5
Step-by-step explanation:
The easiest related equation to get is simply solving for x:
a) x + 5 = 18
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 5 from both sides:
x + 5 (-5) = 18 (-5)
x = 18 - 5
x = 13*
b) 66x = 330
Isolate the variable, x. Divide 66 from both sides of the equation:
(66x)/66 = (330)/66
x = 330/66
x = 5*
*Note: An equation simply is a expression that has an equal sign. This means that as long as there is an equal sign, it counts as an equation.
~
If found the image that accompanies this problem, the central angle was 60°. Since the circumference of a circle is always 360°, the minor arc represents 60°/360° of the circle.
48 cm / (60°/360°) = 48 cm / (1/6) = 48 cm * 6/1 = 48 cm * 6 = 288 cm
The circumference of circle Z is 288 cm.
8 1/9 because 9 times 8 is 72 and 73-72=1 so 8 1/9
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
Answer:
$5830.
Explanation:
730-510=220m
220/4=55 dresses made
55*106=$5830
