Sergei can reorganize the library in 5 hours. His sister Irina can do the job in 10 hours. How long would it take for the two of them to do the job together?

Answers

Answer 1

Answer:

3 1/3 hours

Step-by-step explanation:

Let the total work done be x

For Sergei

In 5 hours, amount of work done by Sergei = x

in 1 hour ,amount of work done by Sergei = x/5

Similarly for Irina

In 10 hours, amount of work done by Irina = x

in 1 hour ,amount of work done by Irina = x/10

In 1 hour , work done by both of them together = work done by Sergei in 1 hour + work done by Irina in 1 hour = x/10 + x/5 = (x + 2x)/10 = 3x/10

Thus,

we can say that

time taken to do 3x/10 work by both of them together = 1 hour

since the total work is x , to find time taken to do total work together

we divide both side of equation with 3/10

time taken to do 3x/10/ (3/10) work by both of them together = 1/(3/10) hour

time taken to do x work by both of them together = 10/3 hours = 3 1/3 hours.


Related Questions

Rewrite the sum using the GCF and the distributive property:
16 + 28

Answers

Answer:qsgqwgiq

Step-by-step explanation:

8ytyy

What’s the answerrrrrrrr

Answers

the answer is B. thank you

Is there a way to solve this equation without Calculus concepts? I am enrolled in Geometry and this is extra credit and I'm having a hard time understanding this. Please mind how stupid I may sound if I said something wrong.

Answers

Step-by-step explanation:

ω = ω₀ + αt

θ = ω₀ t + ½ αt²

We need to eliminate t from the system of equations.  Solve for t in the first equation, then substitute it into the second equation.

t = (ω − ω₀) / α

θ = ω₀ (ω − ω₀) / α + ½ α ((ω − ω₀) / α)²

θ = ω₀ (ω − ω₀) / α + ½ (ω − ω₀)² / α

αθ = ω₀ (ω − ω₀) + ½ (ω − ω₀)²

αθ = ω₀ω − ω₀² + ½ (ω² − 2ω₀ω + ω₀²)

αθ = ω₀ω − ω₀² + ½ ω² − ω₀ω + ½ ω₀²

αθ = ½ ω² − ½ ω₀²

2αθ = ω² − ω₀²

105÷35.
this is for a math lesson can you help

Answers

Answer: 3

Step-by-step explanation:

The answer is 3, hope this helped! :)

Every month, your cell phone plan costs $90 and gives you unlimited talk, unlimited text messages, and 4 GB of data. The cell phone company also charges $20 for each gigabyte over 4 GB of data. How much will you be charged if you use 10 GB of data?

Answers

Answer: You will be charged $ 210 for 10 GB of data.

Step-by-step explanation:

Given : Cost of cell phone plan = $90

Additional charge over 4GB for each GB =  $20

If 10 GB data is used , then after 4 GB you need to pay for 6 additional GB (10-4=6)

Total charge = (Cost of cell phone plan)+ (Additional charge) x (Number of gigabytes over 4 GB)

i.e. Total charge = $(90+20(6))

= $ (90+120)

= $ 210

Hence, you will be charged $ 210 for 10 GB of data.

Trevor bought 5 packages of cake mix for $32.50.How much would 8 packages of cake mix cost?

Answers

Answer:

$52

Step-by-step explanation:

32.50/5=6.50

1 costs $6.50

8x6.50=$52

Answer:

$52 dollars because you have to find the original number which is what is 1 box equal to which is $6.50 then you multiply $6.50 by 8 and get $52

Hope I helped!

On a tour of an old gold mine, you find a nugget containing 0.82 ounce of gold. Gold is worth $1566.80 per ounce. How much is your nugget worth?

Your nugget is worth

Answers

Chicken breast perfectly

Help ASAP,first one will be the brianlistt!!!!!!!!!

Answers

Answer:

1 question : -12

2 question : 3/7

Step-by-step explanation:

Answer:

1. is -12 that's the answer 2. 0.42857142857

Step-by-step explanation:

Solve the equation 0.65 = 0.5c what is the value of c

Answers

Answer:

that would be 1.3

Step-by-step explanation:

(thats what my calculator says)

Someone Please solve #7 for me

Answers

......................................

what is the distance between the following point A (-2, -1) and point B (3,2)?

Answers

5.83 is the answer of the distance between points

Answer:

5.83

Step-by-step explanation:

1. Samantha has 45 books. She can pack 7 in each box. How many boxes can she completely fill? How many books will be left? A 6 boxes; 3 books B 6 boxes; 2 books C 7 boxes; 0 books D 7 boxes; 3 books

Answers

Answer:

6 boxes, 3 books

Step-by-step explanation:

Samantha has 45 books

She can pack 7 books in each box

The number of box she can completely fill can be calculated as follows

= 45/7

= 6 remainder 3

Hence Samantha can completely fill 6 boxes and will still be left with 3 books

SOME PLEASE HELPP
I NEED THE STEPS TO SOLVE IT​

Answers

Answer:

answer is 7950

Step-by-step explanation:

compund interest=7950

PLEASE HELP WITH 24
I WILL GIVE YOU THE BRILLIANT THINGY

Answers

Answer:

heres an example: Replace all x's in

g(x)

with the function f(x) to get

g(f·x)=(x+3)2

Explanation:

g(f·x)

means that you replace all x's in

g(x)

with the function

(f·x)

The easiest way to do this is rewrite

g(x)

replacing all x's with a blank set of parenthesis, like this

-g(f·x)=(x)2

Now place the function into the parenthesis.

(f·x)

g(f·x)=(x+3)2

Step-by-step explanation:

If B = 1 – q and C = 3q – q? – 1, find an expression that equals B - C
in standard form.

Answers

Answer:

[tex]q^{2} -4q+2[/tex]

Step-by-step explanation:

solution of the linear equation 3x + 4y= 10

Answers

it is 1 i think i’m right

Add -4y to both sides.

3x + 4y + −4y = 10 + −4y

3x = −4y + 10

Divide both sides by 3.

3x /3  =  −4y + 10 /3

x=  −4 /3 y +  10 /3

Answer: x=  −4 /3 y +  10 /3

Which phrase describes the solution set for this function?
f(x) = 2(x - 1)2 + 4
A.
one real solution and one complex solution
B.
two complex solutions
O C.
two real solutions
D.
one real solution

Answers

Note: The function is not an equation. I will form and solve an equation to answer the question.

Answer:

C. Two real solutions

Step-by-step explanation:

We have the following function:

f(x)=2(x-1)^2+4

It does not form an equation to solve, and therefore, there are no 'solutions'. We must equate the function to something to set a condition and solve it. We'll complete the equation.

Solve for x when:

f(x)=12

Substituting the function:

2(x-1)^2+4=12

Subtracting 4:

2(x-1)^2=8

Dividing by 2:

(x-1)^2=4

Taking square root:

x-1=\pm\sqrt{4}

Solving:

x=1\pm2

We have two real solutions x=3 and x=-1

Note if we had equated to 4, then the equation would have had only one real solution, and if we had equated to 0, we would have two complex solutions.

The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.

What is the discriminant?

The discriminant of a quadratic is a number that depends on the components and allows some characteristics of the roots to be deduced without calculating them.

The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,

D = b² - 4ac

If D > 0, then the roots are real and distinct root.If D = 0, then the roots are real and equal roots.If D < 0, then the roots are imaginary roots.

The equation is given below.

f(x) = 2(x - 1)² + 4

f(x) = 2x² - 4x + 2 + 4

f(x) = 2x² - 4x + 6

The discriminant is given as,

D = (-4)² - 4×2×6

D = 16 - 48

D = - 32

D < 0

The roots are complex root.

The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.

More about the discriminant link is given below.

https://brainly.com/question/15884086

PLEASE HELP FAST WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​

Answers

Answer:

x=45

Step-by-step explanation:

you would change it to 90-x=x because the angles are congruent and then add x on both sides until it is 90=2x, divide 2 from both sides to get 45=x

Find the Horizontal Asymptote of the exponential function, and then identify the transformations.
f(x) = -2^(2-5) + 3

Answers

Answer:jjjjjjjjjjjjjjhhhhhhheeeeeeeaaaaa

Step-by-step explanation:

Answer:

f(x)=23/8

Step-by-step explanation:

To find horizontal asymptotes: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0). If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

The process to writing an equation using a table is....

Answers

Answer:

graphing

Step-by-step explanation:

ez

it’s GRAPHING obviously.

What is the base of the exponential expression? ​

Answers

Answer:

B

Step-by-step explanation:

The base is the number the exponent is attached to.

i got tricked last time, please, HELPP ME I WILL MARK THE FIRST ONE TO ACTUALLY SOLVE THE PROBLEM AS THE BRAINLIEST!!
Three consecutive odd integers are such that the sum of the smallest integer and the largest integer is 86. Find the value of the 2nd number. PLZ HELP

Answers

42, and 21 i think I might be totally wrong but this is my beat answer. Report me if i am wrong. But have a good day!

Robin reads 5 pages of a book in 4 minutes. Based on this rate, what is the total number of minutes it will take Robin to read 200 pages?

Answers

Answer: 160 minutes

Step-by-step explanation: 200 divided by 5 is 40, then 40 times 4 is 160

Division is one of the four fundamental arithmetic operations. The time it will take Robin to read 200 pages of the book at the same rate is 160 minutes.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that it takes Robin 4 minutes to read 5 pages of a book. Therefore, the rate at which Robin reads a page of the book is,

Rate at which Robin reads = 4 minutes/5 pages = 0.8 minutes per page

Now, to know the time it will take for Robin to read the book of 200 pages at the same rate can be found by multiplying the number of pages by the rate of reading. Therefore, the rate at which Robin reads is,

Time to read 200 pages = 0.8 minutes per page × 200 pages

                                         = 160 minutes

Hence, the time it will take Robin to read 200 pages of the book at the same rate is 160 minutes.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2

130 is 1/10 of 13 true or false

Answers

Answer:

This is true.

Step-by-step explanation:

Finding 1/10 of a number is the same as dividing it by 10. 130 divided by 10 is 13.

An adult pass for a county fair costs $2 more than a children’s pass. When 378 adult and 214 children’s passes were sold, the total revenue was $2,348. Find the cost of an adult pass.​

Answers

A= C + 2

378A + 214C = 2384

An adults pass (A) cost two dollars ($2) more than a children’s pass (C).

378 adult passes and 224 children passes are sold. The revenue is 2384.

378(C+2) + 224C = 2384
378C + 2 x 378 + 214C = 2384
592C + 756 = 2384
593C = 2384 — 756 = 1628

C = 1628/592 = 11/4 = $2.75
A = $2.75 + $2 = $4.75

There are two equations with two unknowns.

In equation (1) A is already in terms of C so substitute equation (1) into equation (2) and solve for C.

Now that C is know, substitute C back into equation (1) to get A.

Results:

Adult’s cost: $4.75
Children cost: $2.75

brainliest??

Please help I will give brainliest

Answers

Answer:

Here we are given with a graph.

we have been asked to find the value of x for which

As we know that , to find the value of x for the given value of f(x), we need to look onto the vertical axis, and mark a dot on the given value now draw a line perpendicular to vertical axis so that it cut the given straight line, and where they intersect draw another line perpendicular to the horizontal axis and you will get the value where it crosses the horizontal axis.

We get x=5, then f(x)=7.

Plsss give me brainliest :)

CAN I PLEASE GET SOME HELP
The function f(x) is graphed on the coordinate plane.

What is f(−4)?

Answers

Answer:

f(-4) = 4

Step-by-step explanation:

Let the equation of the function is,

f(x) = mx + b

where m = slope of the line

b = y-intercept of the line

From the graph attached,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{-2}{4}[/tex]

Slope 'm' = [tex]-\frac{1}{2}[/tex]

y-intercept 'b' = 2

Therefore, function will be,

f(x) = [tex]-\frac{1}{2}x+2[/tex]

For x = -4,

f(-4) = [tex]-\frac{1}{2}(-4)+2[/tex]

      = 2 + 2

      = 4

Which is true from the graph.

I need help with that

Answers

Answer:

y(dollars) = 12x

Step-by-step explanation:

2. A long jump competition was held at Barangay Mathalino. John Mark
jumped of 6 meters of the field. How far did John Mark jump​

Answers

This question is incomplete

Complete Question

A long jump competition was held at Barangay Mathalino John Mark

jumped 2/3 of 6 3/5 meters of the field. How far did John Mark jump​?

Answer:

4 2/5 meters

Step-by-step explanation:

We are told:

John Mark jumped 2/3 of 6 3/5 meters of the field.

The distance John jumped us calculated as:

2/3 × 6 3/5 meters

Converting 6 3/5 meters to mixed fraction

= 33/5 meters

Hence, John jumped

=2/3 × 33/5 meters

= 22/5 meters

= 4 2/5 meters

What are the solutions of the following system?


(0, –5) and (–5, 5)
(0, –5) and (5, –15)
(0, –5) and (–4, 3)
(0, –5) and (4, –13)

Answers

Step-by-step explanation:

It would be C 0,-5 and -4,3

Answer:

C

Step-by-step explanation:

for edge

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