A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? (i dont get this one, please explain :)

Answers

Answer 1

Answer:

35 days

Step-by-step explanation:

A = 14 days

It means per day, work done by A= 1 / 14

A+B = 10 days

Work done by A and B per day = 1 / 10

In what time can B alone do the work?

To solve this, we have

A+B = A alone + B alone

1/10 = 1/14 + B alone

Subtract 1/14 from both sides

1/10 - 1/14 = 1/14 + B alone - 1/14

14-10/140 = B alone

4/140 = B alone

B alone= 1 / 35

Work done of B alone = 1/35

B alone will do the work in 35 days

Answer 2

Answer:

35 days.  

Step-by-step explanation:

A can do the work in 14 days: per day work done by A=1/14

A and B can do the work in 10 days: per day work done by A and B=1/10

Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.

So, B takes 35 days.


Related Questions

helpppp MEEE!!!! Helpp​

Answers

Answer:

For A, the answer is D, y=-x+2, and for B, the answer is C, (2,1)

Step-by-step explanation:

The answer for question A is justified by the fact that the graph is negative, so x is -x, but there is a positive y-intercept so it is a +2 y-intercept. For question B, I just graphed it on desmos and looked for all the points , and (2,1) is the only one on the line.

Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Answers

Answer:

The correct option are;

f(x) = x² - 4 and g(x) = x - 3, (f ο g)(2) = -3 and (g ο f)(2) = -3, so the function is commutative

Given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²

So the function is not commutative

Step-by-step explanation:

For the equations f(x) = x² - 4 and g(x) = x - 3, we have;

(f ο g)(x) = f(g(x)) = (x - 3)² - 4 = x² - 6·x + 9 - 4 = x² - 6·x + 5

At x = 2, we have;

(f ο g)(2) = f(g(2)) = 2² - 6×2 + 5 = - 3

Similarly, we have;

(g ο f)(x) = g(f(x)) = x² - 4 -3 = x² - 7

At x = 2, we have;

(g ο f)(2) = g(f(2)) = 2² - 7 = 4 - 7 = -3

Therefore, by commutative property, we have that the result of an operation does not change by changing the order of the operands such that we have;

a + b = b + a or a·b = b·a from which we have resolved also the following operation is commutative

(f ο g)(2) = (g ο f)(2)

Similarly given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²

So the function is not commutative

(f ο g)(x) = f(g(x)) = 4·x²

(f ο g)(x) = 4·x²

(g ο f)(x) = g(f(x)) = (4·x)² = 16·x²

(g ο f)(x) = 16·x²

∴ (f ο g)(x) = 4·x² ≠ (g ο f)(x) = 16·x²

(f ο g)(x)  ≠ (g ο f)(x) the function is not commutative.

Answer:

D

Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Allen and Renaldo are gaining weight for basketball season. Allen weighs
178 pounds and is gaining three pounds per week. Renaldo weighs
203 pounds but is gaining two pounds per week.
Part A: In how many weeks will they both weigh the same amount?

Answers

25 weeks
178 + (3 x 25)
178 + 75 = 253

203 + (2 x 25)
203 + 50 = 253
Correct answer is 25 weeks.

A counselor surveys a random sample of 60 out of 900 high school students. 75% of them said they were going to collage. She used these results to determine that 675 students in the overall school would be planning to go to collage. Do you agree with her prediction

Answers

Answer:

Yes, we agree with her prediction.

Step-by-step explanation:

Given:

Number of sample student = 60

Number of total student = 600

Number of student plan to go college = 675

Sample of student plan to go college = 75%

Find:

Prediction is correct or not

Computation:

Number of student plan to go college in sample = 60 × 75%

Number of student plan to go college in sample = 45

Number of student plan to go college = Number of student plan to go college in sample [900 / 60]

Number of student plan to go college = 45[900 / 60]

Number of student plan to go college = 45[15]

Number of student plan to go college = 675

So,

Yes, we agree with her prediction.

Please solve this questions step by step

Answers

Answer:

I am not solving the questions from 1 to 8 , as they are only simple addition questions.

Answer:

Step-by-step explanation:

Please help. Choose the answer that makes the sentence true. (Blank)rational numbers are real numbers. A. All B. Some C. No

Answers

A. all rational numbers are real numbers

Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together? 2.4 hours 2.5 hours 3.0 hours 4.0 hours

Answers

Answer:

A) on edge2020

Step-by-step explanation:

The greatest amount of time when they worked together is 2.4 hours.

What is algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Randy at most 4 hours to clean the offices.

Trey at most 6 hours to clean the offices.

If they work together, they will clean

1/4 + 1/6 = 5/12 of the offices.

Let x be the greatest amount of time it would take them to clean the offices together.

Thus,

5*x/12=1

5x=12

x= 12/5

x= 2.4 hours.

Learn more about this concept here:

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Solve the equation m2 = 14

Answers

Answer: m = 7

7 x 2 = 14

idk anymore

Steps to solve:

m² = 14

~Take the square root of both sides

√m² = √14

~Simplify

m = ±√14

Best of Luck!

If it is raining then I will need an umbrella

Answers

Yeah because you don’t wanna be wet

Answer:

yes

Step-by-step explanation:

so you don't get wet

When cubing a number, you have to...

Answers

Answer:

multiply the number its self 3 times , for example 3x3x3=27 = 3^3

Step-by-step explanation:

Answer:

you have to multiply the number by itself 3 times

Step-by-step explanation:

can i get brainliest? i only need 2 more

10. a? = 3,600
algebra solve each equation​

Answers

Answer:

a=360

Step-by-step explanation:

3600 divided by 10 is 360

What is the median of the data shown heights of the members of me.smith class

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{72}}}}}[/tex]

Step-by-step explanation:

Given data : 68 , 69 , 71 , 71 , 71 , 73 , 74 , 75 , 75 , 78

N ( total number of observation ) = 10

Finding the position of median

[tex] \boxed{ \sf{median = { (\frac{n + 1}{2} )}^{th \: item} }}[/tex]

[tex] \dashrightarrow{ \sf{median = { (\frac{10 + 1}{2} )}^{th \: item}}} [/tex]

[tex] \dashrightarrow{ \sf{median = {( \frac{11}{2}) }^{th \: item}} }[/tex]

[tex] \dashrightarrow{ \sf{ median = {5.5}^{th \: item}}} [/tex]

[tex] \sf{ {5.5}^{th} }[/tex] item is the average of 5 th and 6 th items.

Now, Finding the median

[tex] \dashrightarrow{ \sf{median = \frac{ {5}^{th}item + {6}^{th} item}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{71 + 73}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{144}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{72}}[/tex]

Hope I helped!

Best regards! :D

Please answer the question in the picture

Answers

Answer: Slope = -7/5

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

Explanation:

Pick any two rows you want. I'll select the first two rows.

Each row represents an (x,y) point

The first row means (-8,55) is one point and the second row means (2,41) is another point.

Use these two points in the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (41-55)/(2- (-8) )

m = (41-55)/(2 + 8)

m = -14/10

m = -7/5 is the slope

The negative slope means the line goes downhill as you move from left to right.

Specifically, every time it drops 7 units the line moves over to the right 5 units.

slope = rise/run = -7/5

rise = -7, negative rise means we go down 7 spaces

run = 5 means we move to the right 5 spaces

The value of the expression - 3. () is (Do without a calculator and use "T" as your fraction bar.)​

Answers

Answer:

-10/21

Step-by-step explanation:

Help please what is 50x+25x-10y

Answers

Steps to solve:

50x + 25x - 10y

~Combine like terms

75x - 10y

Best of Luck!

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{75x-10y\addvspace{0.2cm} \centering $ \;\; \, \; $ }}\\[/tex]

Step-by-step explanation:

[tex]50x+25x-10y[/tex]

Let's simplify this. First, we will combine the like terms.

[tex]50x+25x-10y[/tex]

Let's add parenthesis.

[tex](50x+25x)+(-10y)[/tex]

This equals to:

[tex]75x+-10y[/tex]

Hope this helps!

Can someone help please​

Answers

Answer:

option a

Step-by-step explanation:

in figure 1: 4n+8 = 4×1=4+8=12

figure 2:4n+8 =4×2=8+8=16 and so on

22-3 (x-70) = x+20

please help​

Answers

Answer:

x = 53

Step-by-step explanation:

22 - 3 ( x - 70 ) = x + 20 Multiply out

22 - 3x + 210 = x + 20

22 + 210 - 3x = x + 20

232 - 3x = x + 20

232 - 3x + 3x = x + 3x + 20

232 = 4x + 20

232 - 20 = 4x + 20 - 20

212 = 4x

212/4 = 4x/4

212/4 = x

x = 53

Answer:

Step-by-step explanation:22-3(x-70)=x+20

22-3x+210=x+20

22+210-3x+3x=x+3x+20

232=4x+20

4x=232-20

X=53

sry but  hop now it's correct

hope that it's correct.plz comment on box if it's incorrect

Find g(F(4)).
g(f(4)) =
4

Answers

Answer:

Step-by-step explanation:

f(4)= 4 - 7 = -3

g(-3) = (-3)^2 = 9

Answer:

g(f(4)) = 9

Step-by-step explanation:

The figure below shows a rectangular parking lot.
67 yd
86 yd
What’s the perimeter

Answers

Answer:

306 yd

Step-by-step explanation:

[tex]P=2(l+w)\\\\P=2(67+86)\\\\P=2(153)\\\\\boxed{P=306}[/tex]

Hope this helps.

Divide. 1,229 ÷ 14 Enter your answer in the boxes as a mixed number in simplest form.

Answers

Answer:

87 11/14

Step-by-step explanation:

1,229 ÷ 14

It can also be written as

1,229 / 14

14 in 12 is not possible

14 in 122 is 8 remainder 10

The 10 remaining + 9 in the the given expression

14 in 109 is 7 remainder 11

The answer is 87 11/14

87 whole number 11 over 14

1,229 / 14 = 87 11/14

find f(1/4)

if f(x)=4x^2-2/3x

please guys explain it to me I cant understand it ​

Answers

Answer:

f(1/4) = 1/12

Step-by-step explanation:

f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.

It is the same as having

y = 4x^2 - 2/3 x

For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.

If you were given

y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?

You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.

Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?

Let's calculate it:

f(x) = 4x^2 - 2/3 x

To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.

f(1/4) = 4(1/4)^2 - (2/3)(1/4)

f(1/4) = 4(1/16) - 2/12

f(1/4) = 4/16 - 2/12

f(1/4) = 1/4 - 2/12

f(1/4) = 3/12 - 2/12

f(1/4) = 1/12

Which graph shows all natural numbers less than three?

Answers

Answer:

A i think

Step-by-step explanation:

Answer:

Try b out

Step-by-step explanation:

if that isn’t working for you {because it didn’t work for me}try b because it says less the 3 b is the only one the is less then three

This summer, Silvia has been selling lemonade for $9 per cup. If Silvia has sold 19 cups so far, how much money has she made?

Answers

Answer:

$171

Step-by-step explanation:

Price of lemonade = $9 per cup

Quantity sold = 19 cups of lemonade

Revenue = price of the product × quantity of the product sold

Silvia's total revenue = price × Quantity

= $9 × 19 cups

= $171

Silvia has made a total of $171 from selling 19 cups of lemonade at $9 each

plz help need to finish by 12:00 am

Answers

30.

[tex]g(x)=2x^2+18x-14\\\\a)\\g(9)=2\cdot9^2+18\cdot9-14=162+162-14=310\\\\b)\\ g(3x)=2(3x)^2+18(3x)-14=18x^2+54x-14\\\\c)\\ g(1+5m)=2(1+5m)^2+18(1+5m)-14=\\\\=2(1+10m+25m^2)+18+90m-14=2+20m+50m^2+4+90m=\\\\=50m^2+110m+6[/tex]

31.

[tex]h(y)=-3y^3-6y+9\\\\a)\\h(4)=-3(4)^3-6(4)+9=-3\cdot64-24+9=-192-15=-207\\\\ b)\\h(-2y)=-3(-2y)^3-6(-2y)+9=24y^3+12y+9\\\\c)\\h(5b+3)=-3(5b+3)^3-6(5b+3)+9=\\\\=-3[(5b)^3+3\cdot(5b)^2\cdot3+3\cdot5b\cdot3^2+3^3)-30b-18+9=\\\\=-375b^3-675b^2-405b-81-30b-9=-375b^3-675b^2-435b-90[/tex]

32.

[tex]f(t)=\dfrac{4t+11}{3t^2+5t+1}\\\\a)\\f(-6)=\dfrac{4(-6)+11}{3(-6)^2+5(-6)+1}=\dfrac{-24+11}{3(36)-30+1}=\dfrac{-13}{108-29}=-\dfrac{13}{79}\\\\b)\\f(4t)=\dfrac{4(4t)+11}{3(4t)^2+5(4t)+1}=\dfrac{16t+11}{48t^2+20t+1}\\\\c)\\f(3-2a)=\dfrac{4(3-2a)+11}{3(3-2a)^2+5(3-2a)+1}=\dfrac{12-8a+11}{3(9-12a+4a^2)+15-10a+1}=\\\\=\dfrac{-8a+23}{27-36a+12a^2+16-10a}=\dfrac{-8a+23}{12a^2-46a+43}[/tex]

33.

[tex]g(x)=\dfrac{3x^3}{x^2+x-4}\\\\a)\\g(-2)=\dfrac{3(-2)^3}{(-2)^2+(-2)-4}=\dfrac{3(-8)}{4-2-4}=\dfrac{-24}{-2}=12\\\\b)\\g(5x)=\dfrac{3(5x)^3}{(5x)^2+(5x)-4}=\dfrac{3(125x^3)}{25x^2+5x-4}=\dfrac{375x^3}{25x^2+5x-4}\\\\c)\\g(8-4b)=\dfrac{3(8-4b)^3}{(8-4b)^2+(8-4b)-4}=\dfrac{3[8^3-3\cdot8^2\cdot4b+3\cdot8\cdot(4b)^2-(4b)^3]}{64-64b+16b^2+8-4b-4}=\\\\=\dfrac{3(512-768b+384b^2-64b^3)}{16b^2-68b+68}=\dfrac{3\cdot4(128-192b+96b^2-16b^3)}{4(4b^2-17b+17)}=\\\\=\dfrac{384-576b+288b^2-48b^3}{4b^2-17b+17}[/tex]

There are 3 different highways from City W to
City X, 4 different highways from City X to
City Y, and 3 different highways from City Y
to City Z. How many different routes are there
for a trip from City W to City X to City Y to
City Z?

Answers

Answer:

6 x 4 you have 4 numbers and each can be put in 6 different ways. so it is 24 i think

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

4*3*3

12*3

36

can 1.33 be 1.3? i need help quick please!?

Answers

Answer:

yes it can be

Answer:

Step-by-step explanation:

1.33 and 1.3 are not the same, although they share the digits 1.3.

1.33 is accurate to the hundredths place, whereas 1.3 is accurate only to the tenths place.

So:  1.33 and 1.3 are in the same ball park, but are not the same.

Evaluate the expression for the given values.
MX- y when m=5, X = 3, and y=8
Enter your answer in the box
I NEED HELP

Answers

Answer:

mx-y=7

Step-by-step explanation:

mx-y

5*3-8

15-8=7

Megan has $45.12 in her purse. She spends $7.89 for lunch and $21.25 for a pair of
sunglasses. Which is the best estimate for the amount of money Megan has left?
O A. $12
B. $16
C. $20
D. $24

Answers

the answer is B. $16.00 because when you do the math it comes up to 15.98

$6 is left with Megan.

What is an equation?

An equation is a mathematical statement with equality sign in between two mathematical expressions.

How to solve the problem?

Suppose she is left with $x.

Then as per the question

$45.12=$21.25+$7.89+$x

⇒$x=$15.98≈$16

Hence, Megan is left with $16.

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Round 17.834 to the nearest tenth. Your answer​

Answers

Answer:

Hey there!

17.834 rounded to the nearest tenth is 17.8

Let me know if this helps :)

17.8 because the .03 is less than .05 so the .8 stays the same. I hope this helps!! ^_^

3x+x+4=-20 show work

Answers

Answer:

-6

Step-by-step explanation:

3x+x+4=-20

4x+4=-20

4x=-24

x=-6

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