Answer:
The simplest answer is
The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.
Answer:
y = - 24
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = - 3
k = = = - 4
y = - 4x ← equation of variation
When x = 6, then
y = - 4 × 6 = - 24
Answer: the cost of one cherry pie is $18 and the cost of one pumpkin pie is $20
Step-by-step explanation:
Let x represent the cost of one cherry pie.
Let y represent the cost of one pumpkin pie.
Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. This means that
2x + 4y = 116 - - - - - - - - - - - - - -1
Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286. This means that
7x + 8y = 286 - - - - - - - - - - - - 2
Multiplying equation 1 by 7 and equation 2 by 2, it becomes
14x + 28y = 812
14x + 16y = 572
Subtracting, it becomes
12y = 240
y = 240/12 = 20
Substituting y = 20 into equation 1, it becomes
2x + 4 × 20 = 116
2x + 80 = 116
2x = 116 - 80 = 36
x = 36/2 = 18
Answer:
Step-by-step explanation: