El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,

a. Cuánto tiempo le tomará a ambas realizar el trabajo?

Answers

Answer 1

Answer:

El tiempo que tardarán Lourdes y Rosabel en hacer el trabajo juntas es de 3,6 horas.

Step-by-step explanation:

Los parámetros dados son;

El tiempo que tarda Lourdes en leer las letras = 6 horas

El tiempo que le toma a Rosabel leer las letras = 9 horas

Sea la cantidad total de trabajo de oficina = X

Deje que el tiempo que ambos tienen que trabajar para hacer el trabajo = t

Por lo tanto;

La tasa de trabajo de Lourdes = X / 6

La tasa de trabajo de Rosabel = X / 9

X / 6 × t + X / 9 × t = X

t × (1/6 + 1/9) = 1

t × 5/18 = 1

t = 18/5 = 3,6 horas

Por lo tanto;

El tiempo que les llevará a Lourdes y Rosabel hacer el trabajo juntas = 3.6 horas.


Related Questions

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

Answers

Answer:

23.3333333 miles per hour

23 1/3 miles per hour

10.43093333333333 meters / second

Step-by-step explanation:

Take the distance and divide by the time to find the speed

70 miles / 3 hours

1 mile = 1609.34 meters

1 hours = 3600 seconds

70 miles   /3 hours *  1 mile /1609.34 meters * 1 hours / 3600 seconds

10.43093333333333 meters / second

Step-by-step explanation:

speed is normally measured in unit time meaning either per hour,second,minute etc

therefore for this question you will have to find what it travels per hour

if 70 is in three hours what about one hour

therefore

70/3=23.3'

so the speed will be 23.3miles per hour

(the apostrophe is to show recurring you can also round of and ignore it)

show work plz !!!!!!!!!!!!

Answers

Step-by-step explanation:

5- 24/6 -8(8)

5-4 -64

-65

Answer:

-63

Step-by-step explanation:

insert in the missing value so it will be

5 - 24/6 - 8*8              you do division and multiplication first

24/60=4  and  8*8=64  so

5 - 4 -64 = negative 63

There are about48000 farms in Nebraska using approximately 45 million acres of land. This farmland covers 9/10 of the state. About how many acres are not made up of farmland?

Answers

Answer:

The land not made up of farmland = 5 million acres

Step-by-step explanation:

Number of farms in Nebraska = 48000

Total acres of land used by Nebraska = 45 million acres

Total of the state covered = [tex]\frac{9}{10}[/tex] of the state

To find:

How many acres are not made up of farmland ?

Solution:

Given that [tex]\frac{9}{10}[/tex] of the state is covered by the farmland.

Total area in farmland = 45 million acres

It means that, Rest of the land is not made up of farmland.

First of all, let us calculate the total land of Nebraska then we will subtract the farmland from total, to find the land not made up of farmland.

That will be our answer.

Let the total land be = [tex]x[/tex] million acres.

As per the question statement:

[tex]\frac{9}{10}\ of\ x = 45\ million\ acres[/tex]

OR

[tex]\dfrac{9}{10}\times x =45\\\Rightarrow x = \dfrac{45\times 10}{9}\\\Rightarrow x = 50\ million\ acres[/tex]

Therefore, the land not made up of farmland = [tex]x[/tex] - 45 = 50 -45

5 million acres

PLEASE HELP DUE IN 30 MINUTES!!!
The last two answers for the last question are c. h(g(x))= 1/ (x^2 +4) and d. h(g(x))=1/x^2 +4​

Answers

Answer:

I'm pretty sure the answer to the third question is C

Step-by-step explanation:

We are solving for h(g(x)).

We already know that g(x) is equal to x^2+4.

So know, we can simplify our expression, h(g(x)), to h(x^2+4).

We also know that h(x)=1/x

we simply substitute x for x^2+4, giving us an answer of 1/(x^2+4)

10x + 2 y = 24
-5 x + y = -18​

Answers

Answer:

(3,-3)

Step-by-step explanation:

First you divide 2 out of the first equation and it turns into 5x+y=12.

Then you write one on top of the other so you can add them. It looks like:

5x + y = 12

-5x + y = -18

Then you add them together and the 5x's cancel each other out and you are left with 2y = -6

So then you divide both sides by 2 and get y = -3

Then you plug -3 into the second equation because it is simpler and get -5x - 3 = -18

So then you add three to both sides and get -5x = -15

And finally you divide both sides by -5 and get x=3

Someone please help me

Answers

This is not a function. The input 7 in set A maps to outputs -1 and -3 at the same time in set B, which is why we don't have a function.

For a function to be possible, each input must map to exactly one output only.

Bob is reading a 445 page book. He has already read 157 pages. If he reads 24 pages a day, how long will it take him to finish the book?

Answers

Answer:

12 days

Step-by-step explanation:

Set up an equation with y = mx + b, where m is the rate and b is the y-intercept (starting value)

Let x represent how many days it takes and y represent how many pages he read:

445 = 24x + 157

Solve for x:

288 = 24x

12 = x

So, it will take him 12 days to finish the book

Total number of days to complete book is 12 days

Given that;

Number of pages in book = 445

Number of pages already read = 157

Number of pages read per day = 24

Find:

Total number of days to complete book

Computation:

Total number of days to complete book = [445 - 157] / 24

Total number of days to complete book = 288 / 24

Total number of days to complete book = 12 days

Learn more:

https://brainly.com/question/12790873?referrer=searchResults

reflection coordinate plane

Answers

(-2,-3)

Mirror the point across the x-axis. If it is at (-2,3) then the reflection would be (-2, -3)

What is the factorization of the trinomial below?
12x2-x-35

Answers

Answer:

(4x−7)⋅(3x+5)

Step-by-step explanation:

Its that because of the steps that you learn

Answer : -(11+x)

Steps :

12*2-x-35
24-x-35
-11-x
-(11+x)

So i missed a day at school and don't know how to solve 1.2/8.4 = w/14.
Can anyone help.

Answers

Answer:

To find W.

1.2/8.4=w/14.

then cross multiply

which is 14×1.2=8.4w.

16.8=8.4w.

w=2

28 – 18 ÷ 2 x 3 order of operations

Answers

Answer:

25

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

28 - 18 ÷ 2 x 3

Step 2: Multiply

28 - 18 ÷ 6

Step 3: Divide

28 - 3

Step 4: Subtract

25

Answer: 15

Step-by-step explanation:

(28 - 18) ÷ 2 x 3

Step 1. (28 - 18) = 10

Step 2. 10 ÷ 2 = 5

Step 3. 5 x 3 = 15

The answer is 15

one number is 7 more 3 times another number. the sum is 75. what is the smaller number

Answers

Greetings from Brasil...

According to the statement of the question, we can assemble the following system of equation

X = 7 + 3Y i

X + Y = 75 ii

So, multiplying ii by -1 and adding with i

X = 7 + 3Y

- X - Y = - 75

- Y = 7 + 3Y - 75

4Y = 68

Y = 17

for X we will use ii:

X + Y = 75

X + 17 = 75

X = 58

The smaller number is: 17

please help !! ♡ i need answers to all of them !

Answers

Answer:

1. Cardinal Number

2. Ordinal number

3. Integer

4. Counting Number

5. Fraction

6. Base

7. Exponent

8. Factor

9. Prime factor

Step-by-step explanation:

A cardinal number is a number denoting quantity.

Ordinal numbers denote position, like first and second.

Integers are all whole numbers that are negative, and positive. It also includes 0.

Counting numbers are only positive integers.

Fractions always consist of a numerator and denominator.

Bases are always the number below the superscript of an exponent

Exponents are always the superscript of an exponent, such as 9^3. 3 would be the exponent.

A factor is a number that evenly divides into another number. For example, 2 and 4 are factors of the number 8.

Prime factors are factors of a number that are prime. Prime numbers are numbers that have the factors as themselves and the number 1. One example of a prime factor is 3. When given the number 9, 3 is a prime number, and factor of 9.

A motorboat goes downstream in river and covers a distance between to coastal towns in 5 hours . It covers this distance upstream in 6 hours . If the speed of the stream is 3 km / hr . Find the speed of the boat in still water .

Answers

Answer:

The speed of the boat in still water is 33 km/h

Step-by-step explanation:

Let us denote the speed of the boat in still water as x km/h.

Thus;

Since the speed of the stream is 3 km/h, then while going downstream, the total speed on the boat would be; (x + 3) km/h

Formula for distance = speed x time

Since we are told that the time taken to cover the distance downstream is 5 hours, then;

Distance covered in 5 hours = 5(x + 3) km

Therefore, distance between A and B is 5(x + 3) km

However, while going upstream the boat will work against the water current.

Therefore, its speed upstream will be (x − 3) km/h.

we are told that the time taken to cover the distance downstream is 6 hours, then;

Distance covered in 6 hours = 6(x − 3) km

Therefore, distance between A and B is 6(x - 3) km

The true distance between A and B has to be the same.

So,

5(x + 3) = 6(x - 3)

This gives;

5x + 15 = 6x - 18

15 + 18 = 6x - 5x

x = 33

Therefore, the speed of the boat in still water is 33 km/h

solve for n 36=13n-4n​

Answers

Answer:

n = 4

Step-by-step explanation:

36 = 13n - 4n

<=> 36 = (13-4).n

<=> 36 = 9n

<=> n = 36 / 9

<=> n = 4

36=9n
divide by 9
n=4

22) Round each number to the nearest hundredths place.
a) 7.208
b) 4.871
c) 0.5609
d) 1.81545
e) 9.8542

Answers

Answer:

The second place right of the decimal point is the hundredths place. If the next digit is 0 through 4, the hundredths digit remains the same. If the next digit is 5 through 9, the hundredths digit goes up by 1.

a) 7.208 , 7.21 (the 8 causes the 0 to go up to 1)

b) 4.871 , 4.87

c) 0.5609 , 0.56

d) 1.81545 , 1.82 (the 8 causes the 1 to go up to 2)

e) 9.8542, 9.85

Arthur is organising his collection
of DVDs. He has 130 altogether.
The ratio of comedy films to
action to horror is 4 : 8 : 1
How many of each type of DVD
does he have?
Comedy
DVDs

Action
DVDs

Horror
DVDs

Answers

Answer: 40 comedy 80 action 10 horror

Step-by-step explanation:

Angle PSR measures 99°. What is the measure of ∠PSQ in degrees?

Answers

Answer:

A. 45°

Step-by-step explanation:

m<PSR is given as 99° = m<PSQ + m<QSR

m<PSQ = (3x + 18)°

m<QSR = (9x - 27)°

99 = (3x + 18) + (9x - 27)

Find the value of x using the expression above

99 = 3x + 18 + 9x - 27

99 = 12x - 9

Add 9 to both sides

99 + 9 = 12x

108 = 12x

Divide both sides by 12

9 = x

x = 9

Find m<PSQ

m<PSQ = (3x + 18)°

Plug in the value of x

m<PSQ = 3(9) + 18

m<PSQ = 27 + 18 = 45°

May I get some help? Thank you!​

Answers

Answer:

vol. of triangular prism = lbh/2

vol. of rectangular prism = 18 of vol. of triangular prism

18x = 18 + 14x

4x = 18

x=4.5 ft

so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube

81 ft cube get all of them and add after get all the answered then multiply them and you’ll get it which is 81

8|x+2|-6=5|x-2|+3 I don’t understand how to solve this problem

Answers

Answer:

yes

Step-by-step explanation:

2+ 5 is 6

A factory employee worked 3/4 of an hour to finish 2/5 of a project. At this rate, how many additional hours will the
employee require to finish the project?
0.45
0.5
1.125
01.25
1.875

Answers

Answer:

1.125 =x

Step-by-step explanation:

We can use ratios to find the  time

We want to find the time needed to finish

1 - 2/5 = 3/5  We need the time for 3/5 of the project

3/4 hours        x hours

---------------- = --------------

2/5 project       3/5 project

Using cross projects

3/4 * 3/5 = 2/5 * x

9/20 = 2/5x

Multiply each side by 5/2

9/20 * 5/2 = x

9/8 = x

1 1/8 =x

1.125 =x

Which of the following distances is the shortest?
A. 50 inches
B. 5 feet
C. 2 yards
D. 1 000 millimeters

Answers

Answer:

1000 millimeters

Step-by-step explanation:

Its the shortest one

13. Neely wants to go on a ride at Disney World with a minimum height restriction of
120 cm. She is 3 feet 4 inches tall. Can Neely go on the ride? (1 inch = 2.54 cm)
Explain your answer.

Answers

Answer:

101.6cm, no.

Step-by-step explanation:

One foot = 12 inches

Therefore 3 feet = 3x12=36 inches 36+4=40 inches total.

1 inch=2.54cm

40x2.54=101.6cm

So no, unfortunately she cannot go on the ride.

Hope this helped!

The left and right page numbers of an open book are two consecutive integers whose sum is 321
  Find these page numbers.

Answers

Answer:

160 and 161

Step-by-step explanation:

x is the first page and x + 1 is the second page

combine them and you get 2x + 1

2x +1 = 321

this simplifies to

2x = 320

divide by 2

320 = 160

give me brainliest

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Answers

Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Junior wanted to ride a roller coaster at Six Flags. The sign says you have to be 48 inches to ride the roller
coaster. The roller coaster can travel 540 feet in 6 seconds.
1. What is the unit rate of the number of feet per second the roller coaster would move?
HELP

Answers

Answer:

90 feet per second.

Step-by-step explanation:

If it moves 540 feet in 6 seconds, than it moves 540/6=90feet per second.

Not sure what the height requirement has to do with this problem or what 'unit rate' is specifically referring to so this may not be the answer you're looking for but I hope this helped anyway!

The difference of 15 and x is 12

Answers

Answer:

X is 3

Step-by-step explanation:

15-x=12

X=15-12

X=3

24÷(−4)+(−2)⋅(−5)= who wants to get brain list if you explain nd answer

Answers

Answer:

4

Step-by-step explanation:

24÷(-4)+(-2)·(-5)

-6+(-2)·(-5)

-6+10

4

Find the value of x if O is between D & B and DO = 15, OB = 3x + 7, and DB = 9x - 2 x= ____

Answers

Answer:

x = 4

Step-by-step explanation:

DO + OB = DB

15 + 3x + 7 = 9x - 2

3x + 22 = 9x - 2

3x + 24 = 9x

24 = 6x

4 = x

Of the 100 children in the sixth grade
class, 76 can go on the end-of-the-year
field trip. What percentage of the
children can go on the trip?​

Answers

Answer:  76%

Any number out of 100 can be quickly converted to percent form by just tacking on the percent sign. This is because "percent" is "per one hundred". Think of 100 cents in a dollar which may help you remember.

So 76/100 = 76%

The correct answer would be 76 percent
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