A can do a piece of work in 15 days. B can do the same work in 12 days and C can
finish the same piece of work in 20 days. They started the work together for 2 days
and then B and C leaves. In how many days will A finish the remaining work?​

Answers

Answer 1

Answer:

[tex]9\ days[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\No.\ of\ days\ A\ takes\ to\ complete\ some\ amount\ of\ work=15\ days\\No.\ of\ days\ B\ takes\ to\ complete\ the\ same\ amount\ of\ work=12\ days\\No.\ of\ days\ C\ takes\ to\ complete\ the\ same\ amount\ of\ work\ as\ A\ and\ B\ =20\ days\\[/tex]

[tex]Now,\\We\ can\ say\ that\ an\ object\ has\ to\ complete\ \frac{1}{n}th\ of\ the\\ work\ daily,\ to\ complete\ the\ work\ in\ n\ number\ of\ days.\ This\ is\ however\\ only\ true\ if\ the\ object\ covers\ equal\ amounts\ of\ work\ each\ day.[/tex]

[tex]Here,\\In\ 1\ day,\\A\ would\ cover\ \frac{1}{15}th\ of\ the\ work.\\B\ would\ cover\ \frac{1}{12}th\ of\ the\ work.\\C\ would\ cover\ \frac{1}{20}th\ of\ the\ work.[/tex]

[tex]Now,\\We\ are\ also\ given\ that:\\They\ work\ together\ for\ 2\ days\ on\ the\ same\ work.\\Hence,\\Total\ work\ done\ in\ 1\ day\ by\ A,B\ and\ C=\frac{1}{15}+\frac{1}{12}+\frac{1}{20}=\frac{4+5+3}{60}=\frac{12}{60}=\frac{1}{5}\\Hence, Total\ work\ done\ in\ 2\ days\ by\ A,B\ and\ C=2*\frac{1}{5}=\frac{2}{5}[/tex]

[tex]Hence,\\The\ portion\ of\ the\ total\ work\ left=1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}\\So,\\Since\ A\ has\ to\ complete\ \frac{3}{5}th\ of\ the\ work,\ lets\ compute\ the\ no.\ of\ days\ it\ takes\ to\ do\ so.\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ the\ entire\ work=15\ days\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ \frac{3}{5}th\ of\ the\ entire\ work=15*\frac{3}{5}=9\ days[/tex]

Answer 2

Answer:

9 days

Step-by-step explanation:

A does in 15days, so A in 1day does 1/15part

B does in 12days, so B in 1day does 1/12part

C does in 20days, so C in 1day does 1/20part

So. A+B+C in 1 day-- 1/15+1/12+1/20=(4+5+3)/60= 12/60=1/5 and in 2days 2/5 part..hence remaining work=1/1–2/5=(5–2) =3/5part.

Now A in 1/15 part takes 1day

So, in 3/5 part 15×3/5 = 9 days.


Related Questions

In a lemon cordial drink, water is mixed with lemon juice in the ratio
water : lemon juice = 4:1.
a
What percentage of the cordial drink is lemon juice?
What is the answer

Answers

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

If the ratio of water to lemon juice is 4:1, that means that for every 5 portions of the cordial drink, 4 are water and 1 is lemon juice. In other words, 4/5 of the drink is water and 1/5 is lemon juice. The percentage of the lemon juice would be 1/5 = 20%. The answer is 20%.

Each employee in a company is either right-handed or left-handed.
32 of the 54 employees are female.
18 of the 41 right-handed employees are male.
Complete the frequency tree for this information.
right-handed
female
left-handed
54
000
right-handed
male
left-handed
Total marks: 3

Answers

Answer:

32 female - 23 right-handed || 9 left-handed

22 male - 18 right handed || 4 left handed

Step-by-step explanation:

I find it easiest to write all the information out and fill the gaps.

From what we're given, 32 employees are female, that means 22 are male, as 54 - 32 = 22.

We are also given that there are 41 right-handed employees, which means there is 13 left-handed employees by subtraction.

If 18 of the right-handed employees are male, then 23 of them are female, and  4 are left-handed males.

If 23 of the female employees are right-handed, then 9 female employees are left-handed.

It's quite simple if you write everything out :D

17
A pipe can fill a tankin h hours. What part of the tank is
filled in x hours.

a) hx
b)h/x
c) x/h
d) h + x

Answers

Answer:

  c)  x/h

Step-by-step explanation:

The rate of filling is 1 tank per h hours, or 1/h tanks per hour. Then in x hours, the amount of filling will be ...

  (x hours)(1/h tanks/hour) = x/h tanks

The part of the tank filled in x hours is x/h.

Will Mark Brainlest Help Please ,,,,
find the value of x and y ​

Answers

[tex]\\ \sf\longmapsto 2x+y=2[/tex]

[tex]\\ \sf\longmapsto 2x=2-y[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]

And

[tex]\\ \sf\longmapsto x+1=y+2[/tex]

[tex]\\ \sf\longmapsto x=y+2-1[/tex]

[tex]\\ \sf\longmapsto x=y+1[/tex]

Put the value

[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]

[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]

[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]

[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]

[tex]\\ \sf\longmapsto 3y=0[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]

[tex]\\ \sf\longmapsto y=\infty[/tex]

Put in eq(1)

[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Convert 13pi/6 to a degree measure

A=390
B=2450.44
C=30
D=780

Answers

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

Factorize this and solve no p, q, s, t, w​

Answers

explanation:

all the questions are solved

in question no. s and t u need to divide the number in two different parts to slove

for no. w we can get two type of solution.

p and q u need to give the power of whole .

u and v are position vectors with terminal points at (-1, 5) and (2, 7), respectively. Find the terminal point of -2u + v.

Answers

Answer: (4, -3)

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

Work Shown

We'll be using these vector properties

Rule 1: (a,b) + (c,d) = (a+c, b+d)Rule 2: k*(a,b) = (k*a, k*b)

To get the following

-2u + v = -2*(-1, 5) + (2,7)

-2u + v = (-2*(-1), -2*5) + (2,7) .... apply rule 2

-2u + v = (2, -10) + (2, 7)

-2u + v = (2+2, -10+7) .... use rule 1

-2u + v = (4, -3)

the volume of a solid come is 616cm^3. Find it's height if the base radius is 7cm​

Answers

Answer:

height = 4cm

Step-by-step explanation:

volume = п r² h

п = 3.14   (aprox.)

r = radius

h = height

volume = 616cm³

then:

616 = 3.14 * 7² * h

616 = 3.14*49*h

616 = 153,86 * h

h = 616 / 153.86

h = 4

height = 4cm

Answer:

Your answer is

Step-by-step explanation:

If u multiply  616cm^3 multipied by 7 cm gives you the correct answer because volume multiplied by radius=height of that particular object.

Hope this helps....

Have a nice day!!!!

The graph shows the equation x2 + y2 = 5. Use the slider for a to move the vertical line on the graph. Based on the vertical
line test, is this equation a function? Why or why not?

Answers

Answer: This equation is not a function.

Step-by-step explanation:

Ok, a function is something like a "machine".

It takes an input value, x, and transforms it into an output value, y.

Such that for every input x, the function can transform it into only one value of y.

for example, if we have a "function" f(x)

such that f(2) = 3 and f(2) = 4

(for the same input, x = 2, we have two different outputs)

Then this is not a function.

Now, the given equation is:

x^2 + y^2 = 5

This is actually the equation for a circle, centered at the point (0, 0) and with a radius equal to √5.

Then, if we want to transform it into y(x), we can see a problem

If x = 0, we have:

0^2 + y^2 = 5

y^2 = 5

then we have two possible values for y:

y = +√5

y = -√5

Then for one value of x, we have two values of y.

This means that this is not a function.

Answer:

No. The vertical line touches the graph at more than one point at once.

Step-by-step explanation:

I just did it

Please answer this question now

Answers

Answer:

70 degrees

Step-by-step explanation:

Measure of arc ABC is 128 degrees, so measure of arc BC is 128-90 = 38 degrees.

Meausure of arc BCD is 102 + 38 = 140 degrees, so measure of angle A is 140/2 = 70 degrees

Answer:

70°

Step-by-step explanation:

64 * 2 = 128

Inscribed angle is half the arc, so arc BC is 128-90 = 38

A is half of arc BCD, which is 102 + 38 = 140

so m<A = 70°

HELP PLS. Team A built 8 sandcastles in 2 hours and Team B built 5 sandcastles in 1 hour. Which team worked at a faster rate?​

Answers

TeamB; team A has built 8 castles in 2 hours, so find the unit rate which is 8/2 which is 4, so team A has built 4 sandcastles in an hour, while team b has built 5 sandcastles in an hour. So team B has worked at a faster rate. Hope this helps!

Answer:

[tex]team \: a \\ 8 \: in \: number \: with \: in \: 2hours \: \\ so \: in \: 1hour \frac{8}{2} = 4 \\ \\ team \: b \\ 5 \: in \: number \: in \: 1 \: hour \\ so \: b \: is \: fast \\ thank \: you[/tex]

PLEASE HELP ASAP T^T

Answers

9514 1404 393

Answer:

  no feasible solutions

Step-by-step explanation:

There are so many inequalities that determining the area covered by all 5 of them is problematic. Hence, we have reversed all of them in the attached graph, so any feasible solution region would remain white. Alas, there is no such region.

This system of inequalities has no feasible solution.

What are the solutions to the equation 3(x – 4)(x + 5) = 0? x = –4 or x = 5 x = 3, x = 4, or x = –5 x = 3, x = –4, or x = 5 x = 4 or x = –5

Answers

Answer:

x= 4                x = -5

Step-by-step explanation:

3(x – 4)(x + 5) = 0

Using the zero product property

(x – 4)=0      (x + 5) = 0

x= 4                x = -5

What are the solutions to the equation 3(x – 4)(x + 5) = 0?

x = –4 or x = 5

x = 3, x = 4, or x = –5

x = 3, x = –4, or x = 5

x = 4 or x = –5

Answer:

D. x = 4 or x = –5

Step-by-step explanation:

1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?​

Answers

A sample space is the space of all the possible outcomes in this event.

Let's define each outcome as:

(first marble, second marble)

Where the first marble can be green or red.

The second marble can be blue or yellow.

Then the possible outcomes are:

(green, yellow)

(green, blue)

(red, yellow)

(red, blue)

So we have four different outcomes, which means that the sample space has 4 elements.

Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.

If you want to learn more, you can read:

https://brainly.com/question/24329720

5. Find the product of p(x) and q(x) if p(x) = 2x+7 and q(x) = 4x-9
a. Is p(x) a polynomial? If not, give an explanation.
b. Is q(x) a polynomiala If not, give an explanation.
c. Is the product a polynomials If not, give an explanation,
d. If the product is a polynomial, identify type and degree.

Answers

Answer:

p(x), q(x), and their product are all polynomials.

p(x) · q(x) = 6x² + 10x - 63

Step-by-step explanation:

First of all P(x) and q(x) are polynomials because polynomials refer to any sum, difference, or product of a collection of algebraic terms. The word polynomials is general. P(x) and q(x) are polynomials but more specifically they are binomials since they only have two terms. Their product is a polynomial as well, but more specifically its a trinomial because it has three terms.

process of multiplying

Using the distributive property (or foil method) when multiplying p(x) and q(x) you would first get the expression 6x² - 18x + 28x - 63. From here you would combine "like terms". This would give you your final answer of

6x² + 10x - 63. Sorry, I couldn't help you with the D question but I hope this helps ;)

Help me please, this all is of 4 marks​

Answers

Step-by-step explanation:

1) 250 n(tnc)

2) 100

this your answer

is 5.676677666777 a rational number​

Answers

Answer:Yes, because all integers have decimals. No, because integers do not have decimals. No, because integers cannot be negative. Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Step-by-step explanation:

What is the vertex for this function? y = 3x^2 - 6x + 12
A. (1,9)
B.(-1,21)
C. (1,21)
D. (-1,9)

Answers

D (-1,9) i did it in calcukator

Which of the following angles is in standard position?

Answers

Answer:

C)

Step-by-step explanation:

Standard position for an angle means that the initial side is the positive x-axis.

Answer: C)

Answer:

C

Step-by-step explanation:

Angles in standard position have a vertex at the origin and one ray is on the positive x axis

Answer always, sometimes or Never.



Natural numbers are ----------- integers

Irrational numbers are ----------- rational numbers

Rational numbers are --------- real numbers

Square roots are __________Rational numbers

Answers

Step-by-step explanation:

1)Always

2)never

3)Always

4)Never

I can’t figure out which formula goes with which sequence. Help……. Please???

1st sequence:
1,3,9,27,….
What is the formula?

2nd sequence:
400,200,100,50,…
What is the formula?

3rd sequence:
4,8,16,32,…
What is the formula?

4th sequence:
400,100,25,6.25,…
What is the formula?

5th sequence:
1,5,25,125,…
What is the formula?

6th sequence:
1000,500,250,125,…
What is the formula?

7th sequence:
2,10,50,250
What is the formula?

I need to know the correct geometric sequence formula for each of these sequences. Thanks!!!

Answers

For a geometric sequence

a, ar, ar ², ar ³, …

the n-th term in the sequence is ar ⁻ ¹.

The first sequence is

1, 3, 9, 27, …

so it's clear that a = 1 and r = 3, and so the n-th term is 3 ⁻ ¹.

The second sequence is

400, 200, 100, 50, …

so of course a = 400, and you can easily solve for r :

200 = 400r   ==>   r = 200/400 = 1/2

Then the n-th term is 400 (1/2) ⁻ ¹.

Similarly, the other sequences are given by

3rd: … 4 × 2 ⁻ ¹

4th: … 400 (1/4) ⁻ ¹

5th: … 5 ⁻ ¹

6th: … 1000 (1/2) ⁻ ¹

7th: … 2 × 5 ⁻ ¹

Earnings per share, EPS is calculated using the formula \large EPS=\frac{NI-PD}{SO}, where NI is net income, PD is preferred dividence, and SO number of outstanding shares.

What is a company's net income if they have $50,000 in preferred dividends and pay out $0.55 per share on 200,000 shares?

Answers

Answer: $160,000

Step-by-step explanation:

Given the following :

Earning per share (EPS) = $0.55

Number of outstanding shares = 200,000

Preferred dividend = $50,000

EPS = (NET INCOME - PREFERRED DIVIDEND) / NUMBR OF OUTSTANDING SHARES

0.55 = ( NET INCOME - 50000) / 200000

200000 × 0.55 = NET INCOME - 50000

110,000 = NET INCOME - 50000

NET INCOME = 110,000 + 50,000

NET INCOME = $160,000

The total number of cupcakes soldduring 5 days was 2087. The number of cupcakes sold by the shop on Thursday was 3 times the cupcakes sold on Monday. How many cupcakes were sold on Thursday?

Answers

Answer:

1252

Step-by-step explanation:

We're assuming that the same amount of cupcakes were sold each day.

2087/5 = 417.4

417.4 x 3 = 1252.2

Since we can't sell fractions of a cupcake, 1252 were sold on Thursday.

Given that T{X: 2<x ≤ 9} where x is an integer. what is n(T)

Answers

Answer:

n(T) = 7

Step-by-step explanation:

Given the set T{X: 2<x ≤ 9} where x is an integer, the element of the set T will be {3, 4, 5, 6, 7, 8, 9}.  note that from the inequality set 2<x ≤ 9, x is not equal to 2 but greater than 2. The inequality can be divided into two as shown;

If 2<x ≤ 9 then 2<x and x≤9

If 2<x, this means x>2 but not equal to 2. This is the reason why 2 is not contained in the set T.

Similarly if x≤9, this shows that x can not be greater than 9 but less than or equal to 9.

Since the set T =  {3, 4, 5, 6, 7, 8, 9}, we are to find n(T). n(T) means cardinality of the set T and cardinality of a set is defined as the total number of element in a set.

Hence n()n(T) = 7 (since there are 7 elements in the set T)

Please help! Algebra 2!!

Answers

Mistake found

3x-2(2x-4)=2

3x - 4x - 8 = 2 instead of 3x - 4x + 8 = 2

Correct answer

x= -13 y= -30

Answer:

See below.

Step-by-step explanation:

So we have the system of equations:

[tex]3x-2y=21 \text{ and } y=2x-4[/tex]

The student took the following steps:

[tex]3x-2(2x-4)=21\\3x-4x-8=21\\-x-8=21\\-x=29\\x=-29\\y=2(-29)-4=-58-4=-62[/tex]

The student's mistake is in step 2. He/she distributed incorrectly. You are supposed to distribute the -2 to both terms, so it should be -4x plus 8, since -2 times -4 is positive 8. Fixing that mistake, we will have:

[tex]3x-2(2x-4)=21\\3x-4x+8=21 \\-x+8=21\\-x=13\\x=-13\\y=2(-13)-4=-26-4=-30[/tex]

Thus, the final answers should be (-13, -30).

John has 5 boxes of sweets. One group of boxes has 5 sweets in each box. The second group of boxes has 4 sweets in each box. John has a total of 22 sweets. How many boxes of each type John has?

Answers

Answer:

3 boxes with 4 sweets and 2 boxes with 5 sweets

Step-by-step explanation:

Boxes with 4 sweets= xBoxes with 5 sweets= y

As per given, we have following equations:

x + y = 54x + 5y = 22

x= 5- y as per the first equation, considering in second one:

4(5 - y) + 5y = 2220 - 4y + 5y = 22y =2

Then:

x= 5 - y = 5 - 2= 3

So there 3 boxes with 4 sweets and 2 boxes with 5 sweets

When f(x)=4, what is the value of x?
O zero
O 2
O 3
O4

Answers

Answer:

x = 2

Step-by-step explanation:

f(x) is the range and values of x the domain

When f(x) = 4 the corresponding value of x in the domain is x = 2

Answer:

2

Step-by-step explanation:

this might not be the best explanation but this is how I thought of it.

f(0)=4?   any number multiplied by zero equals zero so it is not the first answer.

f(2)=4?   if f were to be 2, then 2*2 can equal 4 so this is a pretty good answer.

f(3)=4?  there isn't a whole number you can multiply with 3 that will make 4 so this is not the answer.

f(4)=4?  if f were to be 1 then this could be a possible answer.

so we know that it is either the 2nd or 4th answer. look at the table. if you look, 2 forms into 4 (because they multiplied 2 by 2). but 4 doesn't remain at 4 (because they did not multiply it by 1). so we know the answer is 2.

Help? Please! I need hElppz

Answers

Answer:

-29

Step-by-step explanation:

- 22 - □ = 7

=> - 22 - 7 = □

=> - 29 = □

=> □ = - 29 (Ans)

Polygons EFGH and E'F'G'H' are shown on the following coordinate grid:
hy
What set of transformations is performed on EFGH to form E'F'G'H'?

Answers

Answer:

A translation 3 units to the right and a 90-degree clockwise rotation

Step-by-step explanation:

Plz Hurry! Find the equivalent for -(3)^-4.

Answers

Answer:

-1 ( 1/3*1/3*1/3*1/3)

Step-by-step explanation:

-(3)^-4

The exponent is only affecting what is inside the parentheses

-1 * (3) ^-4

We know that a^-b = 1/a^b

-1 * 1/3^4

-1/3^4

-1 ( 1/3*1/3*1/3*1/3)

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