Answer:
$42
Step-by-step explanation:
Equation: y = 6x
x = number of ice cream cones
y = 6(7) = 42
(a) 34 copies
4520 = 1800 + 80c
2720 = 80c
34 = c
(b) $3,720
P = 1800 + 80(24)
P = 1800 + 1920
P = 3720
Let me know if you have questions about this
Answer:
40 ounces
Step-by-step explanation:
One foot = 12 inches
3 inches is 1/4 of a foot
Divide 10 pounds by 4 to get 2.5 pounds
Convert to ounces
Given
2x³ + (x³ - 3) sin(2πy) - 3y = 0
we first notice that when x = ³√3, we get
2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0
2•3 + (3 - 3) sin(2πy) - 3y = 0
6 - 3y = 0
3y = 6
y = 2
Differentiating both sides with respect to x gives
6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0
Then when x = ³√3, we find
6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0
6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0
6•³√9 + 0 + 0 - 3y' = 0
3y' = 6•³√9
y' = 2•³√9
(that is, 2 times the cube root of 9)