X and Y together can do a piece of work in 10 days and X alone can do it in 15 days would Y alone can finish the work ?​

Answers

Answer 1

Answer:

Y alone can do the piece of work in 30 days.

Step-by-step explanation:

Proportions

Let's make:

N = days for Y to finish the work alone

Since X alone can do it in 15 days, each day he can do a proportion of 1/15 of the piece of work.

Since Y alone can (possibly) do it in N days, each day he can do 1/N parts of the work.

Together, they do

[tex]\displaystyle \frac{1}{15}+\frac{1}{N}[/tex]

parts of the work per day. We know they can finish it in 10 days, thus:

[tex]\displaystyle \frac{1}{15}+\frac{1}{N}=\frac{1}{10}[/tex]

Rearranging:

[tex]\displaystyle \frac{1}{N}=\frac{1}{10}-\frac{1}{15}[/tex]

The LCM of 10 and 15 is 30, thus operating:

[tex]\displaystyle \frac{1}{N}=\frac{3-2}{30}=\frac{1}{30}[/tex]

Solving for N:

N = 30

Y alone can do the piece of work in 30 days.


Related Questions

Keystones tomorrow please help. Last options are B.400 C.600 D.2500

Answers

Answer:

b = 600 ft.

Step-by-step explanation:

The coordinate plane shows Line A B.
What is the length of the line segment?

Answers

Answer:

13

Step-by-step explanation:

The length of the line segment is 13 unit.

What is a line segment?

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.

(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)

We are given that coordinate plane shows Line A B.

We need to find the length of the line segment.

We can see that the graph has 1 unit equal to 1 cm.

Then the coordinate for Point B is (5, 13)

The length of the line segment is 13 unit.

Learn more about line segment here:

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Please help! Answers only please! Thx!

Answers

Answer:

2 cups

Step-by-step explanation:

2 cups cuz im different

For every 2 reeses pieces, there are 7 snickers. If there are 16 reeses pieces, how many total pieces of candy are there?

Answers

Answer:

There are 72 pieces of candy.

Step-by-step explanation:

Since there are 16 Reeses in all, we need to find out how many 2's can fit in 16. We can do that by either multiplying or dividing.

16 ÷ 2 = 8 or 8 × 2 = 16

So we have 8 groups of 2 Reeses, now we need to multiply the groups of Reeses by how many Snickers.

So:

8 × 7 = 56

Now we need to add the Snickers and the Reeses.

56 + 16 = 72

Answer:

72 candies

Step-by-step explanation:

To find the number of snickers, divide the 16 reese's pieces by two to get 8. For every two reese's pieces, there are seven snickers, so multiply that by seven to get 56. There are 56 snickers. Add the 56 snickers to the given 16 reese's pieces for 72 total pieces of candy. Hope this helped ^^

1 ) Oceanside Bike Rental Shop charges 12 dollars plus 9 dollars an hour for renting a bike. Dan paid 84 dollars to rent a bike. How many hours did he pay to have the bike checked out ?​

Answers

Answer:

8 hours

Step-by-step explanation:

84-12=72

72/9=8


Which expression is equivalent to
1/5 m - 20 ?

A: 1/5 (m - 4)
B: 1/5 ( m - 100)
C: 5(m - 4)
D: 5(m- 100)

Answers

Answer:

It's A I believe, if not then its B. hope that this helps :D

Step-by-step explanation:

It’s d and I agree with her or him

please help with this question i really need help

Answers

Answer:

(x+15)+(3x-17)=90

4x-2=90

x=92/4=23

What is the solution to the system of equations?
y = 2x + 6
y= x+ 2

A. (0,0)
C. (-2,-4)
B. (-4,-2)
D. (3,6)

Answers

Answer:

B

Step-by-step explanation:

Given the 2 equations

y = 2x + 6 → (1)

y = x + 2 → (2)

Substitute y = 2x + 6 into (2)

2x + 6 = x + 2 ( subtract x from both sides )

x + 6 = 2 ( subtract 6 from both sides )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4 + 2 = - 2

solution is (- 4, - 2 ) → B

Tarra wants to buy grapes. If one pound of grapes costs $1.98, how much does Tarra pay for One-half of a pound of grapes?

$0.99
$1.98
$2.48
$3.96

Answers

0.99

one pound costs 1.98, so you divide that by 2 to figure out what half a pound would cost

Answer: $0.99
I hope this helps you with your stuff

A book is open to two consecutative pages whose product is 1,806. What is the sum of the 2 page numbers?

Answers

Answer:

42, -43

Step-by-step explanation:

Perform the requested operation or operations. F(x)=4x+9, g(x)=4x^2 Find (f+g)(x)
A) 16x^3 +36x
B) 4x+9/4x^2
C) 4x+9-4x^2
D)4x+9+4x^2

Answers

B
Look over be sure, if so am wrong please don’t get mad. Have a great day!

Which expression has a value greater than the given expression when a = 2?



2(a + 6)




2a + a²

2a + 12

4a + 8

a4+2

Answers

I think a4 + 2 because out of all them they’re all ( in order ) 16,8,16,16 and 26 which I think is the answer for the last one

Step-by-step explanation:

a4+2

Pamela is making pizzas. She has 112 pieces of pepperoni. She uses 29 pieces of pepperoni on the first pizza. If she uses the same amount on each pizza, does she have enough pepperoni to make 4 more pizzas?

Answers

Answer:

No

Step-by-step explanation:

Number of pieces of pepperoni available with Pamela = 112

Number of pieces of pepperoni used in one pizza = 29

Now, number of pepperoni left after using 29 in one pizza = 112 - 29 = 83

Now, Pamela makes second pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 83 - 29 = 54

Now, Pamela makes third pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 54 - 29 = 25

To make the third pizza, another 29 pepperoni are required but only 25 are available.

Therefore, there is not enough pepperoni for making 4 more pizza.

The line passing through which two points is parallel to the line x - 2y = 16?
A) -6,-1 and 2,-5
B) -4,-6 and 2,-9
C) -5,7 and 0,-3
D) -1, 5 and 3,13
E) -4,7 and -2,8

Answers

Answer:

E) -4,7 and -2,8

Step-by-step explanation:

parallel lines have same slope

x - 2y = 16

y = 1/2 x -8     slope: 1/2

E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2

Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

----------------------

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope.If two lines are parallel, they have the same slope.Given two points, the slope is given by change in y divided by change in x.

----------------------

The line given is:

[tex]x - 2y = 16[/tex]

In slope-intercept formula:

[tex]2y = x - 16[/tex]

[tex]y = \frac{x}{2} - 8[/tex]

----------------------

In this question, we want a line with an slope of 1/2.

At option E, the points are (-4,7) and (-2,8), thus, the slope is:

[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]

Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

A similar problem is given at https://brainly.com/question/22532445

combine like terms to simplify each expression. 1: 3/4z(3)+4-1/4z(3). 2: 3.4m+2.4m. 3: 4.2n+5-3.2n. 4: q(5)+q(5)+q(5). 5: 3x+1/4+2y+1/4+7x-y. 6: 1.5z(2)+4.5+6z-0.3-3z+z(2)

Answers

Explanation and steps to the expressions are marked in order in the images below.

1. Answer is 3z/2 + 4

2. Answer is 5.8m

3. Answer is n + 5

4. Answer is 15q

5. Answer is 10x + 1/2 + y

6. Answer is 8z + 4.2

The maximum is five images, so I cannot add the last explanation and steps for the last expression.

What is 78.74 rounded to the nearest tenth

Answers

78.7 is the correct answer

Answer: 78.74 is closer to 80 than 70. The answer is 80

Step-by-step explanation:

A chess team is ordering customized T-shirts for a competition. The table shows the cost of orderi
Number of T-shirts, 6 12 18
24
Cost (dollars), y
108
180
252
324
A linear model is yr

Answers

Answer:

12x+36

Step-by-step explanation:

If we subtract 36 from all 4 y's we get 72, 144, 216, and 288. We divide each one by 6, 12, 18, and 24. After we divide them up, we get 12 for each one. Now we need to set the equation up, it has to be 12x because the price of just one T-shirt is $12, the x is how many T-shirts are bought. The 36 is the b-intercept of the equation, and since we write this in y=mx+b, the equation is y=12x+36.    

A linear model will be 12x+36.

What is a linear model?

A linear model specifies a linear relationship between a dependent variable and n independent variables.

Given that, A chess team is ordering customized T-shirts for a competition. The table shows the cost of ordering

Number of T-shirts, 6 12 18 24

If we subtract 36 from all 4 y's we get 72, 144, 216, and 288. We divide each one by 6, 12, 18, and 24. After we divide them up, we get 12 for each one. Now we need to set the equation up, it has to be 12x because the price of just one T-shirt is $12, the x is how many T-shirts are bought. The 36 is the b-intercept of the equation, and since we write this as y=mx+b, the equation is y=12x+36.  

Hence, A linear model will be 12x+36.

For more references on linear model, click;

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PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!
The number of blood donors at an annual drive increased this year by 20% from last year. If there were d donors last year, write two different expressions for the number of donors this year. Select all that apply
A. 1.20d
B. d+0.20d
C. d - 0.20d
D. 0.80d

Answers

Answer:

A and B

Step-by-step explanation:

Are Linear Pairs congruent all the time on a transversal line?

Answers

Answer:

yes

Step-by-step explanation:

When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent.

someone can answer this?
x + y + 2 and x - y - 1​

Answers

2x-2y+1

Step-by-step explanation:

you will add ir subtarct like terms only

Answer:

2x - 6y

Step-by-step explanation:

u have to divide

What is 0.80 as a fraction?

Answers

Answer:

just type it into ur web browser and you can get the answer

Step-by-step explanation:

thats what i do <3

Explain how to estimate the quotient using compatible numbers.

27 2/3 divided by 3 9/10

Answers

Answer:

~7

Step-by-step explanation:

We can estimate 27 2/3 to be 28 because it is only 1/3 away from a whole number. Similarly, we can estimate 3 9/10 to be 4 because it is only 1/10 away from a whole number. Dividing the two, we get:

(27 2/3)/(3 9/10) = ~28/4 = ~7

We can estimate that the quotient of (27 2/3)/(3 9/10) will be about 7.

I hope this helps! :)

Compute the exact value of the function for the given x-value without using a calculator.

f(x) = 5x for x = -1

a. 1/5
b. -1/5
c. 1/1
d. -5

Answers

Answer:

d

Step-by-step explanation:

Given

f(x) = 5x , then substitute x = - 1, that is

f(- 1) = 5 × - 1 = - 5 → d

Answer:

D

[tex]f(x) = 5x \: \: \: when \: x = - 1 \\ f( - 1) = 5( - 1) \\ f( - 1) = - 5[/tex]

evaluate
-8÷2+12×9-4×6

Answers

Answer:

Step-by-step explanation

PEMDAS

I would insert some parenthesis first

(-8/2)+(12*9)-(4*6)=

(-4)+(108)-(24)=-4+108-24=80

One winter day, the temperature outside was 13°F. Overnight, the temperature dropped 9°F. What is the temperature at its coldest point? Describe how you would find your answer on a number line.

Answers

Answer:

the coldest point would be 4 degrees.

Step-by-step explanation:

On a nuber line you would plot the point 13 and go back on the number line 9 units and you would get 4 degrees.

The temperature at its coldest point is 4° F.

Given that, one winter day, the temperature outside was 13°F. Overnight, the temperature dropped 9°F.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the temperature at its coldest point be x.

Now, x = 13 - 9

= 4° F

Therefore, the temperature at its coldest point is 4° F.

To learn more about an equation visit:

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i need major help but y’all don’t help

Answers

Answer:

What is the question

Step-by-step explanation:

What is the distance between -21 and 6 on a number line, in units?

Answers

Answer:

27 units

Step-by-step explanation: 21 +6 = 27 they are 27 units apart

The distance between -21 and 6 is gonna be 27

plzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

1. 4e^2

2. 2c^2

3. 3a^4

Step-by-step explanation:

1. 12e^5/3e^3.

Simplify:

12/3=4

e^5/e^3=3^2.

4e^2.

2. 8c^3d^2/4cd^2

d^2 cancels out

c^3/c^1=c^2

8/4=2

2c^2.

3. 4a*6a^5/8a^2.

First combine 4a*6a^5

4a^1*6a^5

24a^6.

24a^6/8a^2

3a^4.

Hope this helps you :D

Have a great day :D

Meters using decimal
a) 670 cm
b) 12m 7cm
c) 86cm

Answers

Answer:

I assume we are converting to meters so

a) 6.7 m

b) 12.07 m

c) 0.86 m

Step-by-step explanation:

To convert cm to m you divide the cm value by 100

Please help me :(, I want to understand how to prove it

Answers

Answer:

We know that angels 5 and 6 are vertical angles, and that vertical angles are equal. We also know that angles 7 is equal to angle 6, in turn meaning that angle 7 is also equal to angle 5. Now we look at angle 8. We can see that angle 8 is vertical to angle 7, meaning its also equal to angle 7. We already established before that angle 7 is equal to angle 5, so if angle 8 is equal to angle 7 which is equal to angle 5. Then angle 8 is equal to angle 5.

Hope this helps! Message me if you still don't understand

Answer:

basta ver os ângulos e ver oque sobrar e sua resposta boa noite espero ter ajudado

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