Answer:
3.8
Step-by-step explanation:
![58-5x=30x-75](https://tex.z-dn.net/?f=58-5x%3D30x-75)
Let's add 5x to both sides of the equation...
![58=35x-75](https://tex.z-dn.net/?f=58%3D35x-75)
Then, let's add 75 to both sides of the equation...
![133=35x](https://tex.z-dn.net/?f=133%3D35x)
Divide by the coefficient of x, (35)...
![x=3.8](https://tex.z-dn.net/?f=x%3D3.8)
Answer:
(b) commutative property
Step-by-step explanation:
The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the <em>commutative property of addition</em>.
Answer:
He would run a half of a lap because if he ran a full lap in 2 minutes than in 1 minute it would be half of 1.
Step-by-step explanation:
a. Let us say that c(x) is the cost of one t shirt based
on the number of increases therefore:
c = 10 + x
b. Say that t(x) is the number of t shirts sold based on
the number of increases so:
t = 2500 – 100 x
b. The revenue is simply the product:
r(x) = (10 + x) (2500 – 100 x)
Combining:
r(x) = 25000 – 1000 x + 2500 x – 100 x^2
r(x) = 25000 + 1500 x – 100 x^2
Taking the 1st derivative and setting dr / dx
= 0 to get the maxima:
dr / dx = 1500 – 200 x
1500 = 200 x
x = 7.5
t = 2500 – 100 x = 2500 – 100 (7.5) = 1750
Hence 1750 shirts should be sold.
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