Response:
The Second, Fourth, and Fifth dots on the graph
Finn Jeff Kevin
A rectangle is defined as a two-dimensional figure that features two pairs of equal, parallel sides. Its dimensions consist of length (L) and width (W). The area of a rectangle can be calculated using the formula that multiplies these two dimensions together. The perimeter can be expressed as
P = 2L + 2W.
Given that
A = LW = 64
therefore, W = 64/L.
Substituting this value into the perimeter formula yields
P = 2L + 2(64/L)
P = 2L + 128/L.
Response:
a. 55 cars
b. 25 cars
Detailed explanation:
Let’s denote the quantity of cars with stereo systems as N(ss), those with air conditioning as N(ac), and those with sunroofs as N(sr).
We find that:
N(ss) = 30
N(ac) = 30
N(sr) = 40
N(ss and ac and sr) = 15
N(at least two) = 30
a.
To calculate how many cars possess at least one feature (N(at least one) or N(ss or ac or sr)), we apply:
N(ss or ac or sr) = N(ss) + N(ac) + N(sr) - N(ss and ac) - N(ss and sr) - N(ac and sr) + N(ss and ac and sr)
N(ss or ac or sr) = 30 + 30 + 40 - (N(at least two) + 2*N(ss and ac and sr)) + 15
Substituting, we find N(ss or ac or sr) = 30 + 30 + 40 - (30 + 2*15) + 15 = 55
b.
For those cars that have exactly one feature, we have:
N(only one) = N(at least one) - N(at least two)
N(only one) = 55 - 30 = 25
The price for 3 sandwiches amounts to $18. Since the cost, c, of a ham sandwich directly correlates with the quantity, n, and is told that c equals $54 for 9 sandwiches, the cost per sandwich is $6. Multiplying $6 by 3 gives a total of $18.
