Answer:
Step-by-step explanation:
First, note this parameters from the question.
We let x = number of $5 increases and number of 10 decreases in plates sold.
Our Revenue equation is:
R(x) = (300-10x)(10+5x)
We expand the above equation into a quadratic equation by multiplying each bracket:
R(x) = 3000 + 1500x - 3000x - 1500x^2
R(x) = -1500x^2 - 1500x + 3000 (collect like terms)
Next we simplify, by dividing through by -1500
= 1500x^2/1500 - 1500x/1500 + 3000/1500
= X^2 - x + 2
X^2 - x + 2 = 0
Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1
X = - (-1)/2*1
X = 1/2
Number of $5 increases = $5x1/2 = $2.5
=$2.5 + $20 = $22.5 ticket price gives max revenue.
Answer:
31.4 in
Step-by-step explanation:
the formula for circumference is 2*
*radius. Since the diameter (which is the radius multiplied by 2) is labeled we can divide 10 by 2 to get the radius. 10/2 is 5. Since pi is an infinite number, we round it to 3.14. Then, plug in the numbers. The expression will be 2*3.14*5. 2* = 10 and 10 * 3.14 you can just move the decimal so the answer is 31.4.
Answer: Emmet bought 94 more cans of cat food than dog food.
Step-by-step explanation:
You can see the answer and solution from the picture
Answer:
We conclude that the value of y = 11 cm.
Step-by-step explanation:
Given that both the figures maintain the congruence of the figures. It means both the figures have the same size.
Thus,
The length of DQ = The length of EL
Given
The length of DQ = 3y - 1
The length of EL = 32 cm
so
The length of DQ = The length of EL
3y - 1 = 32
Adding 1 to both sides
3y - 1 + 1 = 32+1
3y = 33
Dividing both sides by 3
3y/3 = 33/3
y = 11
Thus, the value of y = 11 cm
Therefore, we conclude that the value of y = 11 cm.
