Answer:
4.5 times
Step-by-step explanation:
Packing to Buying is 2:9
Therefore, Buying to Packing will be 9:2.
9/2 = 4.5
Company B; the ratios of cost to weight are equivalent.
Step-by-step explanation:
Step 1:
In the equation,
k is the constant of proportionality.
If the values are in accordance with
, the values of k will be constant for all the values.
So we determine the values of k for both the companies and see which has a constant k.
If
. In these tables, y is the total cost and x is the weight in lbs.
Step 2:
For company A,
when 
when 
when 
For company B,
when 
when 
when 
So company B has a constant value of
.
Answer:
Graph A.
Step-by-step explanation:
The graph has a local minimum around x=-2 since it slightly curves downwards around this region. Moreover, the graph of the rational function has a horizontal asymptote at y=1 since the graph approaches this horizontal line but never touches nor crosses it
Answer:
Length 37 cm, width 25 cm.
Step-by-step explanation:
Let the original dimensions be length x and width x - 12 cms.
The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.
So , from the areas, we have:
x(x - 12) - (x - 2)(x - 14) = 120
x^2 - 12x - (x^2 - 16x + 28) = 120
-12x + 16x - 28 = 120
4x = 148
x = 37 cms
So the length was 37 cm and the width was 37-12 = 25 cm.
Okay so john ran the diameter on the park
emily ran the circumference
πd = the circumference
therefore emily ran further