Answer:
A. 13 hours
B. Sparkly clean company
Step-by-step explanation:
Step one:
given
Molly maids company
charges a flat rate of $100 per hour
let the total charges be y
let the number of hours be x
the expression for the total charges for Molly maids is
y=100x---------------1
Step two:
Sparkly clean company
charges $80 per hour
equipment fee=$260
let the total charges be y
let the number of hours be x
the expression for the total charges for Sparkly clean is
y=80x+260---------------2
<em>A) determine and state the number of hours that must be worked for the cost of both companies to be the same. </em>
Equate equations 1 and 2
100x=80x+260
solve for x, collect like terms
100x-80x=260
20x=260
divide both sides by 20
x=260/20
x=13 hours
<em>B) if it is estimated to take at least 30 hours to company the job, which company will be less expensive</em>
x=30
Molly maids company
y=100x
y=100*30
y=3000
$3000
Sparkly clean company
y=80x+260
y=80*30+260
y=2400+260
$2660
Sparkly clean company will be less expensive for a 30 hour work
<span>distance=speed*time
d=6t
d=4(0.25-t) (15 minutes=15/60hours = 0.25 hours)
6t=4(0.25-t)
6t=1-4t
6t+4t=1
10t=1
t=1/10 of an hour
d=6t
d=6(1/10)
d=6/10 or 3/5 of a mile
the store is 6/10 or 3/5 of a mile away</span>
Old Faithful is a famous geyser at Yellowstone National Park. From a sample with n = 32, the mean duration of Old Faithful's eruptions is 3.32 minutes and the standard deviation is 1.09 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.14 minutes and 5.5 minutes.