Answer: the mixture contained 15 pounds of white chocolate and 5 pounds of dark chocolate.
Step-by-step explanation:
Let x represent the number of pounds of white chocolate in the candy shack mixture.
Let y represent the number of pounds of dark chocolate in the candy shack mixture.
The candy shack has 20 lb of mixed white and dark chocolate. This means that
x + y = 20
The 20lb mixture is worth $7.50 per pound. This means that the total cost of the mixture is
20 × 7.50 = $150
White chocolate alone sells for $8.00 per pound and dark chocolate sells for 6.00 per pound. This means that
8x + 6y = 150 - - - - - - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
8(20 - y) + 6y = 150
160 - 8y + 6y = 150
- 8y + 6y = 150 - 160
- 2y = - 10
y = - 10/ - 2
y = 5
x = 20 - y = 20 - 5
x = 15
The answer to this problem is b.
I believe x=16 is the answer.
Answer:
x > -3/2
step-by-step explanation:
3(x+4) < 5(x+3)
3x+12 < 5x +15
-3 < 2x
-3/2 < x
Answer:
G(t) = 35*sin(10*t) + 35
Step-by-step explanation:
In the figure attached, the question is shown. The function has the form:
G(t) = a*sin(b*t) + d
We know that at t = 0, G(t) = 35. Replacing into the equation:
35 = a*sin(b*0) + d
d = 35
We know that at t = π/20, G(t) = 70, which is a maximum. The maximum is reached when sin(b*t) = 1, replacing into the equation:
70 = a*1 + 35
a = 35
If sin(b*t) = 1, then:
b*t = π/2
b*π/20 = π/2
b = 20/2 = 10
