Answer:
y =7
Step-by-step explanation:
2(5y-3)+2(4y) = 120 units
10y - 6 + 8y = 120 units
18y= 120+6
y = 126/18
y = 7
Answer:
g(x) = 
Step-by-step explanation:
f(x) = 3x + 5
f[g(x)] = 3[g(x)] + 5
⇒ 3[g(x)] + 5 = x + 4
⇒ 3[g(x)] = x + 4 - 5
⇒ 3[g(x)] = x - 1
⇒ g(x) = 
Answer:
It will take approximately 34 years
Step-by-step explanation:
If a town population is 8000 and grows 3% annually.
How long will it take to reach 16300
growth is 16300 - 8000 = 8300
using simple interest formula
SI = (P × r × t)/100
8300 = (8000 × 3 × t)100
8300= (80 × 3)t
8300 = 240t
t = 8300/240
t ≈ 34 years to the nearest tenth
Step-by-step explanation: The reciprocal of 20/32 is 32/20. Reciprocal is just flipping a number. For an example: The reciprocal of 98/12 is 12/98.
Hope this helps! :D
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of single cone ice cream and let y represent the number of double cone ice cream.
Since the vendor stocks a maximum of 70 single cones and a maximum of 45 double cones. hence:
0 < x ≤ 70, 0 < y ≤ 45 (1)
The vendor expects to sell no more than 50 ice creams, hence:
x + y ≤ 50
Plotting the constraint using geogebra online graphing tool, we can see that the solution to the problem is at (5, 45)
Since the vendor sells single-cone ice-creams for $3 and double-cone ice-creams for $4.50, hence:
Revenue = 3x + 4.5y
At the point (5, 45), the revenue is:
Revenue = 3(5) + 4.5(45) = $217.5