Ann and Ben translate documents from German to English.
A set of documents that would take Ann 10 days would take Ben 12 days.
Ann starts to translate the document.
After 2 days Ann and Ben both work on translating the documents.
How many more days will it take to complete the work?

Answers

Answer 1

They would require more 4 8/22 days to complete the work.

Ann can translate the document in 10days

In 1 day he can translate 1/10 of the document

In 2 days he translates = 2 x 1/10

Ben can translate the same document in 12 days

In 1 day he can translate 1/12

Work left after Ann works for 2 days is 1 - 2/10 = 8/10

When working together they can work in 1 day is= 1/10 + 1/12 = 22/120

They do 22/120 work in 1 day

For 1 work, they require 1/(22/120) = 120/22

for 8/10, they would require (120/22)(8/10) = 96/22 = 4 8/22

Therefore, They would require more 4 8/22 days to complete the work.

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Related Questions

v/7 + 7.1 = -4.1 solve for v

Answers

Subtract 7.1 from both sides
V/7=-11.2

Multiply the answer by 7
V=-78.4
hello!

Answer:

v = -78.4

Explanation:

To solve this, we’re going to need “v” left on one side on its own.

To do this, first get rid of +7.1 by taking it away from both sides of the equation. This leaves v/7 = -11.2

Then multiply by 7 on both sides to get rid of the “divide by 7”. This leaves “v = -11.2 multiplied by 7”.

Multiplying this out gives v = -78.4.

The length of a rectangle is four more than triple the width. If the perimeter is 160 inches, find the dimensions.

Answers

The length and the width of the rectangle are 61 inches and 19 inches, respectively

How to determine the dimensions of the rectangle?

The mathematical statement from the question is given as

Length of a rectangle is four more than triple its width.

Mathematically, this can be represented as

Length = 3Width + 4

The perimeter is given as

Perimeter = 160 meters

The perimeter is calculated as

Perimeter = 2 x (Length + Width)

So, we have

2 x (3Width + 4 + Width) = 160

Divide by 2

3Width + 4 + Width = 80

This gives

4Width= 76

Divide by 4

Width = 19

Recall that

Length = 3Width + 4

So, we have

Length =  3 * 19 + 4

Evaluate

Length =  61

Hence, the dimensions are 61 inches by 19 inches

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Determine the measure of each missing angle:

Angle f= 69
Angle g= 69
Angle h= ??

I found G and F but I’m stuck on H please help me!!

Answers

Answer:

Angle f = 69°Angle g = 69°Angle h = 125°

Step-by-step explanation:

Angles f and g are congruent as opposite sides are congruent. Therefore:

g = f = (180° - 42°)/2 = 138°/2 = 69°

Angles h, 76°, g and the right angle all together form 360°:

h + 76 + g + 90 = 360h + 166 + 69 = 360h + 235 = 360h = 360 - 235h = 125

Sketch and Solve. A rectangular page is 2 inches longer than it is wide. If the diagonal of the pag is 52 inches, what is the perimeter of the page

Answers

The Perimeter of the Rectangle is 144cm;

What is the Perimeter of a Rectangle?

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

A rectangle has four 90° angles.

The lengths of a rectangle's diagonals are equal. Rectangle perimeter is calculated using the formula perimeter of a rectangle = 2(l + w), where l is the rectangle's length and w is its width.

According to the question

Let the length of the rectangle be x cm;

So, The breadth of the rectangle will be:  (x+2) cm;

And, we have the diagonal = 52 cm;

So,

we can use the Pythagoras triangle to find the value of x cm;

⇒[tex]x^{2} + (x+2)^{2} = (52)^{2}[/tex]

⇒[tex]2x^{2} +4+4x = 2704;\\[/tex]

⇒[tex]2x^{2} +4x = 2700[/tex]

⇒[tex]2x^{2} +4x - 2700 =0;[/tex]

By solving the above equation, we get:

x = 35 cm;

So, the length of the rectangle = is 35 cm;

Breadth of the rectangle = 37 cm;

and
Perimeter of the Rectangle = 2(35 + 37) cm;

The perimeter of the Rectangle = = 144 cm;

Hence,

The perimeter of the Rectangle = = 144 cm;

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(1 point) college officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. how many randomly selected student

Answers

Probability Theory

P (K) =[tex]\frac{n (K) }{n (S)}[/tex]

P(K) : probability of selected K

n (K) : number of occurence of K

n (S) : number of all occurence

In question is not contain information about the number of students who curry a gun, knife, or other weapon and the number of all students. so, we can desribe that :

n (A) : the number of occurence of students who curry a gun

n (B) : the number of occurence of students who curry a knife

n (C) : the number of occurence of students who curry other weapon

and the number of all students is n ( A U B U C) -> union of sets

how many randomly selected student? in question, there is no specific about the student. so, we can answer with :

1) probability of students who curry a gun

P (A) = [tex]\frac{n (A) }{n (AUBUC)}[/tex]

2) probability of students who curry a knife

P (B) = [tex]\frac{n (B) }{n (AUBUC)}[/tex]

3) probability of students who curry other weapon

P (C) = [tex]\frac{n (C) }{n (AUBUC)}[/tex]

and if question want to estimate with percentage, we can multiply with 100%. example :

1) percentage of probability of students who curry a gun

P (A) = [tex]\frac{n (A) }{n (AUBUC)}[/tex] x 100%

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What is the value of 43?
Responses

Answers

The value of a number is itself, so the value of 43 is the distance between 43 and 0 on a number line. we get the answer as follows: |43| = 43.

Please make sure to give me a heart it helps. Thank you.

The Answer is : 64

I took the test and it showed this is the correct answer, hope this helped :)

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Answers

The starting term of the function  f(x) = 300 (1.16)^x is 300

What is an exponential function?

This is a type of function that are of 3 main parts

the starting or initial valuebase function the exponents

Considering the given problem,  f(x) = 300(1.16)^x

the starting = 300

the base = 1.16

the exponents = x

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so forth.

The base is what determines exponential growth or decay

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QUESTION 8/10 HELP ASAPP

Answers

Answer:

y = - 2x - 4

=================

The slope- intercept form:

y = mx + b

Use two points on the graph to find the slope:

(-2, 0) and (0, - 4)

Find the slope:

m = (- 4 - 0)/(0 - (-2)) = - 4/2 = - 2

The y-intercept is b = - 4.

The equation is:

y = -2x - 4

True or false: The numerical coefficient of 14xy4z5 is 4.

Answers

Answer:

False

Step-by-step explanation:

The numerical coefficient is 14, not 4.

Answer:

it's False

Step-by-step explanation:

Trust me IT worth it

Write ap text-style pseudocode for a linear search that searches through a list to find an item x. It should display found if the x is equal to an item in the list.

Answers

list <- value, value, value, value

x<-value

FOR EACH item IN the list

{

             IF item=x

                display "found"

}

Pseudocode is an informal manner of programming description that does not require any strict programming language syntax or underlying era concerns. it is used for growing an outline or a rough draft of a program. Pseudocode summarizes an application's flow but excludes underlying info.

Pseudocode is a synthetic and casual language that facilitates programmers' to increase algorithms. Pseudocode is a "text-primarily based totally" element (algorithmic) layout device. The policies of Pseudocode are fairly straightforward. All statements showing "dependency" are to be indented. the Python pseudocode is a syntax-loose representation of code. So, the Python pseudocode no longer involves any code in it. The Python pseudocode should be a very near illustration of algorithmic good judgment.

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f(x) = x
f(x) = 3
f(x) = 5-x
f(x) = 3-x
Domain
x=2
2 0≤x<2
3 f(x) = 1
f(x) = 2
Function Equation

Answers

Given f(x)=2−∣x−5∣

Domain of f(x) is defined for all real values of x.

Since, ∣x−5∣≥0⟹−∣x−5∣≤0

⟹2−∣x−5∣≤2⟹f(x)≤2

Hence, range of f(x) is (−∞,2].

I need help with this, I "apparently get it wrong"

Answers

The top left picture adds up to 14

Answer:

Step-by-step explanation:

Which one adds up to 14 is the question?  There are dots on the dice which correspond to numbers. The dots are saying that they are numbers. And if you get to 14 with the dices, you pick it.

In the space provided below, solve the equation 4x² 768 = 0 for x algebraically. Write your answer in simplest radical form. Show all work. ​

Answers

Answer:

Step-by-step explanation:-b± √b²-4ac. X =

Radius: 6 mm
Diameter: 12 mm
Area:

Answers

Answer:

The area of the circle would be 113.04

Step-by-step explanation:

If you plug the radius into the formula for finding the area of a circle (π·r²), or (3.14 · r²) then you'll get 113.04

Hope this helps! :D

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Mr. Fitch needs to get a loan to replace the air-conditioning system in his home.

The cost of the replacement, including installation, is $4,348.00.
He can apply for a 5-year loan or a 3-year loan.
Both loans involve simple interest with an annual interest rate of 6.5%.
If Mr. Fitch applies for the 5-year loan, how much more will he pay in interest than with the 3-year loan?

Answers

If Mr. Fitch applies for the 5-year loan, the amount  he will pay in interest  with the 3-year loan is: $565.24.

How to find the interest amount?

First step is to find the cost of replacement left

Cost of replacement  = $4,348 x 6.5%

Cost of replacement =$282.62

Second step is to calculate the amount of  5-year loan

Loan = $282.62 x 5

Loan = $1413.1

Third step is to calculate the amount of the 3-years loan

Loan = $282.62 x 3

Loan = $847.86

Now let find the amount he will pay in interest with the 3-year loan

Amount = $1,413.1- $847.86

Amount =$565.24

Therefore the interest amount is $565.24.

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3. What equation matches the graph below?

Answers

Answer:

B, or y - 1 = 1/2(x + 2)

Step-by-step explanation:

when you solve B, you get y = 1/2x + 2, which is the equation being shown on the graph.

Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0. 59. If your monthly bill is $15. 34, how many songs did you download if you downloaded 28 free songs? write an equation and solve for the unknown variable.

Answers

For the given data, 1 free download song and cost of each additional download song is $0.59 ,then total downloaded songs in $15.34 including  28 free songs is equal to 54 songs.

As given in the question,

Total free download songs is equal to 28

Let us consider variable 'x' to represent  the number of downloaded songs at the rate of $0.59

Total monthly bill of downloaded songs = $15.34

Equation formed :

0.59x = $15.34

⇒ x = 15.34 / 0.59

⇒ x = 26 songs

Total number of downloaded songs including 28 free songs

= 26 + 28

= 54 songs

Therefore, for the given data, 1 free download song and cost of each additional download song is $0.59 ,then total downloaded songs in $15.34 including  28 free songs is equal to 54 songs.

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Find the distance between the points ( – 9.3,3) and ( – 9.3, – 7.5).

Answers

Distance between two points.

We have that the data is: (x₁ =–9.3, y₁=3) and (x₂=– 9.3, y₂=–7.5). The formula to calculate two distance between two points is:

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{(x_1-x_2)^2+(y_1-Y_2)^2 } } \end{gathered}$}}[/tex]

When we calculate the distance between two points, we solve what goes inside the parentheses, then it is calculated to the power of 2, and we continue adding the two numbers of the previous results, and finally the square root is calculated.

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{(-9.3-(-9.3))^2+(-7.5-3)^2 } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{(0)^2+(-10.5)^2 } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{0+110.25 } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=\sqrt{110.25 } } \end{gathered}$}}[/tex]

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=10.5 } \end{gathered}$}}}[/tex]

The distance between the points ( – 9.3,3) and ( – 9.3, – 7.5) is 10.5

A farmer bought a number of pigs for $168. However, 7 of them died before he could sell the rest at a profit of 5 per pig. His total profit was $36. How many pigs did he originally buy?

Answers

Answer:

15$

Step-by-step explanation:

What is the range of the given function?



Responses

y≤3y is less than or equal to 3 - no response given

y≤0y is less than or equal to 0 - no response given

−6≤y≤3−6≤y≤3 - no response given

R (all real numbers)

Answers

The range of the given function, using it's concept, is given by the following option.

y≤3: y is less than or equal to 3.

How to obtain the range of a function?

The range of a function is the set that is composed by all the output values on a function.

Om the graph of a function, we have that:

The input values are given by the x-axis, that is, by the horizontal axis.The output values are given by the y-axis, that is, by the vertical axis.

Hence from the graph, the range of the function is given by the values of y of the function.

From the graph of the function given at the end of the answer, the function assumes values of 3 and greater, hence the first option is the correct option giving the range of the function.

Missing Information

The function is given by the image presented at the end of the answer.

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Challenge In​ basketball, some baskets are worth two points. Others are worth three points. In one​ game, the ratio of​ three-point baskets to​ three-point tries for one team was 2:5. If the team scored 24 points from​ three-point baskets, how many​ three-point tries did the team​ have?

Answers

Answer:

20

Step-by-step explanation:

3-point shots made : 3-point shots attempted = 2 : 5

If the team made 24 points out of 3-point baskets, then since 24/3 = 8, it made 8 3-point baskets.

Proportion:

8 made is to 2 as x attempted is to 5

8/2 = x/5

2x = 40

x = 20

According to a study conducted by an​ organization, the proportion of americans who were afraid to fly in 2006 was 0. 10. A random sample of americans results in indicating that they are afraid to fly. Explain why this is not necessarily evidence that the proportion of americans who are afraid to fly has.

Answers

According to the the concept of hypothesis testing, there is no evidence that the proportion of Americans who are afraid to fly has decreased.

Hypothesis testing:

Basically, in math hypothesis, it test the population on the basis of the sample data taken from the population using a simple random sampling.

Given,

According to a study conducted by an​ organization, the proportion of Americans who were afraid to fly in 2006 was 0. 10. A random sample of 1300  Americans results in 117 indicating that they are afraid to fly.

Now, we need to explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has.

While we looking into the given question,

Sample size, n = 1300

Number of Americans who were afraid to fly, x = 117

Now, we have to computing the sample proportion of Americans who afraid to fly,

Therefore, p = 117 / 1300 = 0.09

Then the Formulation of Hypotheses is written as,

Here the Null Hypothesis: H0: p≥0.10

And the alternative Hypothesis: Ha: p<0.10

Then the Left-tailed test of Test statistic is written as,

Here Let us assume that the level of significance, α = 0.05.

Then the Critical value, z≈−1.645

And the Decision rule is written as

If the value of  |z|<|z0.05|≈1.645: Do not reject the null hypothesis.

Otherwise If value of  |z|≥|z0.05|≈1.645: Reject the null hypothesis.

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a research team believes that a recently discovered treatment will have an effect on the dependent variable. they randomly selects a sample of 12 people, and with their permission, provides them a treatment. they then evaluate the evidence regarding whether their treatment had an effect. here's the data: the mean for their sample is 99. the mean for the population is 102, with a standard deviation of 11. assume a normal distribution for the individual scores. the research team sets their alpha level to .05. . calculate the z test, and decide whether the research team should: 0 - retain the null hypothesis 1 - reject the null hypothesis.

Answers

Using the z test the value of z is -0.9404 and  the value of z the research team should 0 - retain the null hypothesis.

In the given question,

They randomly selects a sample of 12 people, and with their permission, provides them a treatment.

So n = 12

The mean for their sample is 99.

x = 99

The mean for the population is 102.

μ=102

A standard deviation of 11.

σ = 11

Test statistic z:

z = (x-μ)/σ /√n

Now putting the value

z = 99-102/11/√12

z=-3/11/3.45

z=-3/3.19

z= -0.9404

Test statistic z = -0.9404

From the value of z the research team should 0 - retain the null hypothesis.

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PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

11r+2

Step-by-step explanation:

combine the two numbers with the same variable and then leave the 2 by itself, that would be 4r+7r=11r and then bring the 2 down that makes 11r+2

List the first 5 multiples
4:
3:
9:
12:

Answers

Answer:

Step-by-step explanation:

3 * 4 = 12 3 * 5 = 15 List of the First 5 Multiples of 3: 3, 6, 9, 12, 15 Notes: The listed multiples are the First 5 Multiples of 3 that are positive (greater than 0) The sum of the digits in Multiples of 3 are divisible by 3

Distribute and then Combine Like Terms: 5(3x + 4) + 7x

Answers

Answer:

22x + 20

Step-by-step explanation:

Distribute:

= (5)(3x) + (5)(4) + 7x

= 15x + 20 + 7x

Combine Like Terms:

= 15x + 20 + 7x

= (15x + 7x) + (20)

= 22x + 20

Answer:

22x +20

Step-by-step explanation:

5(3x + 4) + 7x

5 x 3x + 5 x 4 +7x

15x + 5 x 4 + 7x

15x + 20 + 7x

22x + 20

Tony planned to spend $100 for food this week. On Monday he spent $22 and on Thursday he spent $52. How much money dose he have left for the week

Answers

Answer:$26

Step-by-step explanation:

52+22=74

100-74=26

Tony has 26 dollars left.

a spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) how fast is the radius of the balloon changing at the instant the radius is 50 centimeters?

Answers

0.015 the radius of the balloon changing at the instant the radius is 50cm  

given that

a spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute

radius = 50 centimeters

now we need to find the volume of the balloon

Let V  = volume of the balloon at time t

    r = radius of the balloon at time t

   V = (4/3)πr3

  Given:  dV/dt = 500  

   Find:  dr/dt when r = 50

   dV/dt = (4/3)(3πr^2)(dr/dt)

   500 = 4π(50)^2(dr/dt)  

   dr/dt = 1/(20π)

   dr/dt = 0.015 cm/min

  0.015 the radius of the balloon changing at the instant the radius is   50cm  

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a number increased by 6 is 30

Answers

Answer:

the number is 24 good luck :)

Answer:

24

Step-by-step explanation:

1) Break down the question

We are told that a number increased by 6 is 30 meaning a number added to 6 will get 30.

2) Work you way backwards to get your answer

To find the answer to this question we have to subtract 30 from 6.

This is because we are told that a number is added to get 30 so we should subtract to find our number!

30 - 6 = 24

3) Check you answer

Every question that you may be unsure of or had been struggling with should always be checked.

To check our answer we have to go backwards and see if the numbers match

24 + 6 = 30

As we can see the numbers match together and are correct in our equation

Hope this helps, have a great day!

What constant would be added to the expression x^2+8/3x in order to make it a perfect square

Answers

Answer:

Hence, the value of y = b^2 = (-3/2)^2 = 9/4 is your answer

Step-by-step explanation:

only if your answers are
A) 3/2

B) 9/4

C) 6

D) 9

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