Glenn needs 20 minutes to clean his room. if his little sister veronika pulls things out while he is cleaning, it takes 60 minutes for him to clean the room. how many minutes does it take for veronika to pull everything out?

It takes 30 minutes

Step By Step:

The rate of Glenn in finishing a job would be equivalent to:

Rate (G) = 1

job / 20 minutes

While the rate of Veronika is:

Rate (V) = 1

job / x---> x is the unknown

Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:

1 / 20 – 1 /

x = 1 / 60

The rate of

Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn

down. Solving for x:

Multiply both

sides by 60 x

(1 / 20 – 1 /

x = 1 / 60) * 60 x

3 x – 60 = x

2 x = 60

x = 30

Therefore it

takes 30 minutes for Veronika to pull everything out.

hi, i am not sure about this one but i think its d,

hope this !

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true