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2 years ago

10

Aaron can paint a door in 6 h, and Ana can do the same job in 3 h. Working together, how many hours will it take them to paint a

door?

2 answers:

luda_lava [24]2 years ago

5 0

Answer:

2 hours

Step-by-step explanation:

Using the work word problems, 1/3 + 1/6 = 2/6 + 1/6

3/6 = 2

setting 1/x, where 1 is a completed job, then x/1 = 2/1, therefore, the combined effort finishes the job in 2 hours. This is from the best of my knowledge. Purple Math is a great resource if extra help is needed.

Aloiza [94]2 years ago

3 0

Answer:

4.5 hrs

Step-by-step explanation:

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A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

$^nC_r = \frac{n!}{(n-r)!r!}$

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

$G =10$

So, the probability is:

$Pr = \frac{G * U}{Total}$

$Pr = \frac{10*3}{70}$

$Pr = \frac{30}{70}$

$Pr = 0.4286$

5 0

2 years ago

Kim surveyed 80 students at her school and found that 0.65 of the students she surveyed said their favorite class is math. Anoth

lilavasa [31]

80*.65=52
15%(80)=12

40 more prefer math over science

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3 years ago

Please help me I just kinda got stuck on this one Thank you so much

Anika [276]

C 90 inches squared i took this same one

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3 years ago

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Two over twenty-two plus six over eleven

kirill [66]

$\frac{2}{22}+\frac{6}{11}$

Simplify $\frac{2}{22}$ to $\frac{1}{11}$

$\frac{1}{11}+\frac{6}{11}$

Both are over 11, so, just sum.

$\frac{1+6}{11}$

$\frac{7}{11}$

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3 years ago

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If y=5x+6, then what is x in terms of y?

KATRIN_1 [288]

Answer:

x=y/5+6/5

Step-by-step explanation:

Add 6 to both sides of the equation.

5 x = y + 6

Divide each term by 5 and simplify.

x = y /5 + 6 /5

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3 years ago

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