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
Answer:
x = 41
Step-by-step explanation:
Answer:
If f and h are inverses, then:
f (h(x) ) = x and also
h( f(x) ) = x
Step-by-step explanation:
Inverse function: The function f(x) goes from domain to range and the inverse function f^{-1} goes from Range to domain
Option C is correct
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Answer:
A
Step-by-step explanation:
For every 1/3 cup of honey, we need 1/2 cup of cream.
Since 3 times of 1/3 cup will make a 1 while cups, we multiply the ratio above by 3.
1 cup of honey will need 1/2 x 3 cups of cream.
1/2 x 3 = 3/2 = 1 1/2 cups
So 1 cup of honey will need 1/2 cup of cream.
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To answer the next part, we start again from the original ratio given.
For every 1/2 cup of cream, we need 1/3 cup of honey.
We need to find 9/2 cups of cream. 9/2 cups is 9 times of 1/2 cup. So we multiply the ratio above by 9.
9/2 cups of cream will need 1/3 x 9 cups of honey.
1/3 x 9 = 3
So 9/2 cups of cream need 3 cups of honey.
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Answer:
(a) 1 cup of honey needs 1/2 cup of cream
(b) 9/2 cups of cream need 3 cups of honey.
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