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Lady_Fox [76]
3 years ago
15

Person a can paint the​ neighbor's house 22 times as fast as person

Mathematics
1 answer:
Levart [38]3 years ago
5 0
Let 1/x=the time it takes for person b to paint
let 1/22x the time that it takes for person a to paint
lastly we have the following since we know that when they work together that is how long it takes
\frac{1}{x}  + \frac{1}{22x} = \frac{1}{77}
to solve we first multiply both sides by 1694x
1694 + 77 = 22x
we then combine like terms
1771 = 22x
lastly we divide both sides by 22
80.5 = x
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A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil
Reptile [31]

Step-by-step explanation:

1 week = 7 days of 24 hours each = 7×24 = 168 hours.

the first team can do 1/700 of the total work per hour.

the second team can do 1/600 if the total work per hour.

if they work together, then 1/700 + 1/600 of the total work can be done per hour.

to add these 2 fractions we need to bring them to the same denominator. and that would be 4200 (LCM of 700 and 600).

1/700 + 1/600 = 6/4200 + 7/4200 = 13/4200

so, together, they can do 13/4200 if the total job in 1 hour.

how many hours will they need together to finish the job ?

well, how often does 13 fit into 4200 (as 4200/4200 is the complete job) ?

4200 / 13 = 323.0769231... hours

so, it will still take a little bit over 323 hours to clean all the streets.

but there are only 168 hours until the film crew starts.

so, no, there is not enough time.

4 0
2 years ago
What is the constant proportionality for 3 and 9
Olegator [25]
The answer is 27. because 9 times 3 =27 and 3 times 9 = 27. so they are both constant of proportionality.
5 0
3 years ago
99 to the power of 69
Nimfa-mama [501]
4.998370298991988e+137
Well, thats a large number. Trust me, im a "prodigy"
4 0
2 years ago
Read 2 more answers
Which answer represents a proportional relationship?
allsm [11]
The second option with the chart
3 0
2 years ago
Which technique is most appropriate to use to solve each equation? Drag the name of the technique into the box to match each equ
faltersainse [42]
(x + 3) (x + 2) = 0
 To solve it, the most appropriate technique is:
 1.) zero product property
 The solutions are:
 (x + 3) = 0
 x = -3
 (x + 2) = 0
 x = -2
 
 x² + 6 = 31
 
To solve it, the most appropriate technique is:
 2.) square root property
 x² = 31-6
 x² = 25
 x = +/- root (25)
 x = +/- 5
 The solutions are:
 x = 5
 x = -5
5 0
3 years ago
Read 2 more answers
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