SOLUTION: Hello out there,I have some problems that I need help with that involves different problem solving,the first problem is,If there are 8 furlongs in a mile,how many miles are there i

Question 75642: Hello out there,I have some problems that I need help with that involves different problem solving,the first problem is,If there are 8 furlongs in a mile,how many miles are there in 30 furlongs?The next one is,Erica can read 180 pages in 4 hours.At the same rate,how many pages can she read in 7 hours?The next one is,The profits made by Happenin' Hats depend on the number of hats they sell.If the company's weekly expenses are $2250 and they charge $45 per hat,their profits "p" can be calculated by the equation p=45n-2250, where "n" is the number of hats sold.Write this relation in functional notation.And the last one is,Mr. Calvillo wants to enclose a rectangular area for a garden space of given square footage.The length of the plot will vary inversely as the width.If he decides on a width of 18 feet,the garden will be 30 feet long.How long will 45 foot wide garden be?Thanks to whoever helps me.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If there are 8 furlongs in a mile, how many miles are there in 30 furlongs?
:
Miles = Furlongs/8
:
:
Erica can read 180 pages in 4 hours.At the same rate,how many pages can she read in 7 hours?
:
Using ratio:
=
Cross multiply and solve for p
:
:
The profits made by Happenin' Hats depend on the number of hats they sell.
If the company's weekly expenses are $2250 and they charge $45 per hat,their
profits "p" can be calculated by the equation p=45n-2250, where "n" is the
number of hats sold.
Write this relation in functional notation.
p = f(n)
f(n) = 45n - 2250
:
:
Mr. Calvillo wants to enclose a rectangular area for a garden space of given square footage.The length of the plot will vary inversely as the width.If he decides on a width of 18 feet,the garden will be 30 feet long.How long will 45 foot wide garden be?
:
The two plots will have the same square footage, make an equation from that:
Plot 1: 18*30 = 540 sq ft
Plot 2: 45*L = 540 sq ft
:
Plot2 area = Plot1 area
45L = 540
L = 540/45
L = 12 ft
:
Check: 12*45 = 540
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