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3 years ago

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

1 answer:

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

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

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