Answer:
-8=2×-4
Step-by-step explanation:
You just have to calculate the equation to get to your answer
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
9514 1404 393
Answer:
12 minutes
Step-by-step explanation:
Let c and h represent the filling times for the cold and hot taps, respectively. When the cold tap is 1/2 open, we presume that means the filling time becomes 2c.
In terms of baths per minute, the relationships are ...
1/c + 1/h = 1/3
1/(2c) +1/h = 1/(3 +1.8) . . . . . 1:48 min:sec is 1.8 minutes
Subtracting the first equation from twice the second, we get ...
2(1/(2c) +1/h) -(1/c +1/h) = 2(1/4.8) -(1/3)
1/h = 2/4.8 -1/3 = 1/12
h = 12
It takes the hot tap 12 minutes to fill the tub alone.
Answer:
178
Step-by-step explanation:
(7+3)+42 x (7-3)
10+42 x 4
10+ 168
178
60/25 = 2.4
2.4 x 2 = 4.8 inches = 60 miles
25/2 = 12.5 for 1 inch
12.5/4 = 3.125 miles for 1/4 inch