iAnswer: i belive it is 12
Step-by-step explanation: theGCF of 36 and 24 is 12 the GCF of 36 and 48 is 12 and the GCF of 48 and 24 is 12 and 24
PRT TWO: there would be 2 pencils in each bag 3 candy barsin each and 4 erasers in each because 24 divided by 12 = 2 36 divided by 12 = 3 and 48 dividedby 12 = 4
Answer:
(0,1/5) and (1/9,0)
Step-by-step explanation:
3/5x +1/3y=1/15
To find intercepts, plug in 0
y-intercept: 3/5(0) + 1/3y=1/15
y=1/15*3 = 3/15 = 1/5 or 0.2
x-intercept: 3/5x + 1/3(0) = 1/15
3x=1/15*5/3
x=5/45= 1/9
Answer:
x=1, y=7
Step-by-step explanation:
y = -3x + 10 - first equation
y=-3x + 4 - second equation
rearrange the expression to
-3x-y= -10
3x-y= -4
pick an equation and simplify; lets pick the second equation
3x-y= -4
divide 3 by both sides
x= 
- third equation
substitute the value of x into an equation; lets pick the first equation
-3x-y= -10
-3
- y = -10
simplify. -3 cancels 3 so we are left with
-1(-4+y)-y = -10
simplify
4-y-y= -10
4-2y= -10
subtract 4 from both sides
-2y= -10-4
-2y= -14
divide -2 by both sides
y=7
substitute the value of y, (y=7) in an equation, we are using the second equation
3x-y= -4
3x-7= -4
3x = -4+7
3x= 3
divide 3 by both sides
x=1
so the answer is x=1, y=7
Answer:
$48 per unit
Step-by-step explanation:
Increasing the price by $5 reduces demand by 20 units, so the slope of the curve is -4 units per dollar. This lets us write a demand equation as ...
q = -4(p -50) +184
q = -4p + 384
q = 4(96 -p)
The revenue is the product of price and demand:
r = pq = 4p(96 -p)
This is the equation of a quadratic curve that opens downward and has zeros at p=0 and p=96. The vertex (maximum) will be halfway between the zeros, at ...
p = (0+96)/2 = 48
A price of $48 per unit will yield a maximum total revenue.
