The ratio of the profit, cost of materials and labour in the production of an article is 5:7:13 respectively. If the cost of materials is Le 840 more than that of labour, find the total cost of producing the article

Answers

Answer 1

Answer:

Total cost is 2,800

Step-by-step explanation:

The given ratio 5:7:13 represents profit to cost of materials to labour.

However it is stated that cost of materials is Le 840 more than that of labour

Cost of material - 840 = labour

Cost of material = labour - 840

Let

Cost of material be x, and labour be y

x ÷ y = 7 ÷ 13 (equation 1)

x = y - 840 (equation 2)

Substitute x from equation 1 in equation 2

(y - 840) ÷ y = 7 ÷ 13

13 (y -840) = 7y

y = 1,820

Substitute value of y in equation 2

x = 1820 - 840

x = 980

So total cost is cost of material plus cost of labour = 980 + 1820 = 2,800

This will satisfy the ratio of 5:7:13 representing profit to cost of materials to labour


Related Questions

Micha washed a car in 20 minutes. At this rate, how many hours would it take to wash 9 cars?

Answers

Answer:

3 hours

Step-by-step explanation:

he washed one car in 20 minutes so 9 cars will be 20 x 9=180minutes which is 3 hours

Another way to write g(h(x))

Answers

you can use the multiplication symbols (x) or (•)

Answer:

(gOh)(x) on edg 2020

Step-by-step explanation:

A bag of chips contains 145 calories per serving. Each bag of chips contain 3 servings. How many calories are in 2 bags of chips?

Answers

Answer:

870

Step-by-step explanation:

you take the calories per serving, 145, and multiply it by the number of servings in the bag, 3. this gives you 435, the number of calories in a bag. then you take the number of calories in a bag times the number of bags. you get 870

Answer:

870

Step-by-step explanation:

1
Is the value of -6 -6 POSITIVE, NEGATIVE, or ZERO?

Answers

Answer:

Negetive

Step-by-step explanation:

It helps to re-write.

-6 + -6 is the same as -6 -6

-6 + -6 = - 12

It would be different if these were multiplied together, but AS WRITTEN, they are subtracted. If it was (-6)(-6) or -6(-6) that would indicate multiplication as well.

The answer is negative.

A test has five questions. To pass the test, at least three of the questions must be answered correctly. question ----> Find the probability that Mark guesses 4 questions correctly.

Answers

Answer:

1/5

Step-by-step explanation:

Total Question no. 5

Three must be answer correctly so 3/5 to pass

  and 2/5 to fail  

So 1/5 because to pass the test he can answer it  correctly only one time

how would one go about solving this graph?

Answers

Density = Mass/Volume
Mass= Density x volume
Volume= mass/density

Density = Mass / Volume, so you could use that information to solve for each value in the graph.

2. Mass = Density * Volume = 8.07 * 1.04 = 8.59 g

3. Volume = Mass / Density = 8.26 / 8.10 = 1.02 mL

4. Density = Mass / Volume = 7.91 / 0.99 = 7.99 g/mL

5. Mass = Density * Volume = 8.05 * 0.98 = 7.89 g

6. Volume = Mass / Density = 8.53 / 8.05 = 1.06 mL

A recipe for 2 loaves of banana bread calls for 3 bananas and 2 cups of flour. How many
bananas are needed to make 10 loaves of bread?

Answers

Answer:

15 bananas

Step-by-step explanation:

If two loaves of bread uses 3 bananas then multiply that by 5 because 10 divided by 2 is 5 and get 15 bananas.

Yesterday morning, the temperature was -11°F. The temperature increased 7°F by noon and then decreased 4°F by nightfall. What was the temperature at nightfall last night?

Answers

Answer:

1

Step-by-step explanation:

1

write this as a simplified expression. if you want to write the rules so that i could later figure out this problem later :)

Answers

Answer:

4x - 2

Step-by-step explanation:

Perimeter of triangle

[tex] =( 2x - 5) + (3x - 2) +( 5 - x) \\ = 2x + 3x - x - 5 - 2 + 5 \\ = 5x - x - 2 \\ = 4x - 2[/tex]

19x + 8 - 7x = 48 - 8x

Answers

Answer:

x = 2

Step-by-step explanation:

19x - 7x + 8x = 48 - 8

20x = 40

20x/20 = 40/20

x =2

Answer:

x=2

Step-by-step explanation:

[tex]19x + 8 - 7x = 48 - 8x \\ ⟹ 12x + 8 = 48 - 8x \\ ⟹ 12x + 8x = 48 - 8 \\ ⟹20x = 40 \\ ⟹ x = \frac{40}{20} \\ ⟹x = 2[/tex]

4.89 gallons of milk is sold for $12.79. If you have $21.44 in your wallet. How many
gallons of milk you can buy?

Answers

Answer:

12.79/4.89 is $2.62 per gallon

2.62x<=21.44

Step-by-step explanation:

You could buy 8 because 21.44 divided by 2.62 is 8.1832...

Please help me if you can..

Answers

The answer is B. The y-intercept is 4 so you go up four on the y-axis. Your slope is 2. So from the point of (4,0) go up another 2 and 1 to the right.

See your levels
Brenna went on vacation and sent postcards to all of her family and friends. She needed 45
postcards, but the store only sold them in packs of 12. She bought 4 packs. How many
postcards did she have left over?

Answers

Answer:
3 postcards

Explanation:
So the question says that Brenna bought 4 packs of 12 postcards, which is the same as 4x12.

4x12=48, so Brenna bought 48 postcards.

It says that she only needed 45, so we can subtract 45 from 48.

48-45=3

Brenna had three postcards left over.

Hope this helped you!

It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each. If Tyra buys 20 tickets, how much would it cost her for the fair?

Answers

Answer:

12 + 20d

Step-by-step explanation:

OG fare = 12

Ticket price =d

20 Tickets =20d

A swimming pool is a rectangular prism. The pool is 36 feet long and 20 feet wide. What is the total amount of water, in cubic feet, needed to fill the pool to a depth of 4feet?

Answers

Answer:

[tex]2880\ ft^{3}[/tex]

Step-by-step explanation:

The computation of the total amount of water needed could be determined by using the volume formula which is shown below:

[tex]Volume = L \times W \times D[/tex]

where

L = length,

W = width,

and D = depth.

Now putting the values to the above formula

[tex]Volume = (36\ ft) \times (20\ ft) \times (4\ ft) \\\\= 2880\ ft^{3}[/tex]                            

Therefore, the  total amount of water needed is [tex]2880\ ft^{3}[/tex]

We simply applied the above formula

Answer:

280ft3

Step-by-step explanation:

A cart starting from rest travels a distance of 12.7 meters in 3.6 seconds. The average speed of the cart is
Select one:
a. 3.5 m/s
b. 0.3 m/s
C. 45.7 m/s
d. 16.3 m/s

Answers

Answer:

A

Step-by-step explanation:

12.7 meters divided by 3.6 seconds is 3.527 round it up and it stays 3.5 m/s

The average speed of the cart is: 3.5 m/s

The correct option is (A).

What is Average speed?

The average speed is the total distance traveled by the object in a particular time interval.

Given:

distance = 12.7m, time= 3.6 seconds

Average speed will be,

= Distance/time

=12.7/3.6

=3.522 m/s

Hence, the average speed is 3.522 m/s.

Learn more about average speed here:

https://brainly.com/question/12322912

#SPJ2

Find any 5 rational numbers between; a) -1 and 2 b) −3 8 −5 14

Answers

Answer:

Step-by-step explanation:

Hello,

You can list the following ones which are correct for a), b) and c)

[tex]\boxed{\sf \bf \ \ 1, \dfrac{1}{2}, \dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5} \ \ }[/tex]

Thanks

(6−3x
2
−8x
4
−2x
3
)+(6+7x
2
)+(2−7x
3
+3x
2
)


What is the constant?

Answers

Answer:

14

Step-by-step explanation:

I tried to put the problem together as best as I could and i got the problem as (6-3x^2-8x^4-2x^3)+(6+7x^2)+(2-7x^3+3x^2)

That means that the constants are 6+6+2.

6+6+2= 14

The sum of a number and 4 equals the same number times 3. What is the Number?

Answers

Answer:

2

Step-by-step explanation:

let the number be n, then sum of number and 4 is n + 4 and 3 times the number is 3n, thus

n + 4 = 3n ( subtract n from both sides )

4 = 2n ( divide both sides by 2 )

2 = n

That is the number is 2

Answer:

2

Step-by-step explanation:

1.form an equation

call the number x

x+4=3x

2.solve using inverse operations

x=2

Susan plans to rent a bike in New Orleans to tour the city. The cost of the rental is $20 per day. The cost of a helmet is for as long as Susan needs the bike . Susan has 250 to rent a bike for 15 days. Does Susan have enough moneyExplain .

Answers

Susan does not have enough money.

20 times 15 will cost $300. Susan only have $250.

I'm not sure if this is correct.

q divided by 7 equals 6 have a nice day!

Answers

Answer:

q = 42

Step-by-step explanation:

[tex]\frac{q}{7}=6\\\\\frac{q}{7}*7=6*7\\\\ \boxed{q=42}[/tex]

Hope this helps.

$9.40 per hour times 22 hours round to the nearest cent

Answers

Answer:

The answer is 206.8. But you want me to round to the nearest cent so the real answer is $207.00

Step-by-step explanation:

Multiply.
(9√3+√5)(9√3+√5)
Simplify your answer as much as possible.

Answers

Answer:

[tex]248 + 18\sqrt{15}[/tex]

Step-by-step explanation:

[tex](9\sqrt{3}+\sqrt{5} )(9\sqrt{3}+\sqrt{5} )=(9\sqrt{3}+\sqrt{5} )^2[/tex]

[tex]81 \cdot 3 + 2\cdot 9\sqrt{3} \cdot \sqrt{5} + 5[/tex]

[tex]243 + 18\sqrt{15} + 5[/tex]

[tex]248 + 18\sqrt{15}[/tex]

solve for x 4(2x+9)=-44+8

Answers

How to solve:

1) 4(2x+9)=-44+8

2) 8x+36=-36 (distribute the four to the numbers inside of the parenthesis and combine like terms)

3) 8x=-72 (subtract 36 from each side)

4) x=-9 (Divide each side by 8 to get the answer)

What is an algebraic expression for 58 less than a number n?

Answers

Answer:

n-58

Step-by-step explanation:

Answer: n - 58

Step-by-step explanation:

The n goes first. You are subtracting 58 to find the missing value once n is determined.

Please prove this!!!!​

Answers

Answer:  see proof below

Step-by-step explanation:

Use the following Sum/Difference Identities:

sin(A + B) = sin A · cos B + sin B · cos A

sin(A - B) = sin A · cos B - sin B · cos A

Use the following Half-Angle Identities:

[tex]\sin\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1-\cos \theta}}{\sqrt2}\\\\\\\cos\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1+\cos \theta}}{\sqrt2}[/tex]

[tex]\text{Use the Unit circle to evaluate:}\ \cos\dfrac{\pi}{4} = \sin\dfrac{\pi}{4} = \dfrac{\sqrt2}{2}[/tex]

Use the following side work:

[tex]\sin\bigg(\dfrac{\pi}{8}\bigg)=\sin\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1-\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2-\sqrt2}}{2}\\\\\\\cos\bigg(\dfrac{\pi}{8}\bigg)=\cos\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1+\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2+\sqrt2}}{2}[/tex]

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \qquad \sin^2\bigg(\dfrac{\pi}{8}+\dfrac{A}{2}\bigg)-\sin^2\bigg(\dfrac{\pi}{8}-\dfrac{A}{2}\bigg)\\\\\text{Sum/Difference Identity:}\qquad \bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}+\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2\\\\.\qquad \qquad \qquad\qquad \qquad \quad -\bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}-\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2[/tex]

[tex]\text{Expand and Simplify:}\qquad \quad 4\sin \dfrac{\pi}{8}\cdot \cos\dfrac{A}{2}\cdot \sin \dfrac{A}{2}\cdot \cos \dfrac{A}{2}\\\\\\\text{Substitute:}\qquad \qquad \qquad 4\bigg(\dfrac{\sqrt{2-\sqrt2}}{2}\bigg)\cdot \cos \dfrac{A}{2}\cdot \sin \dfrac{A}{2}\bigg(\dfrac{\sqrt{2+\sqrt2}}{2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \sqrt2\cos \bigg(\dfrac{A}{2}\bigg)\cdot \sin \bigg(\dfrac{A}{2}\bigg)[/tex]

[tex]\text{Half-Angle Identity:} \quad \sqrt2\bigg(\dfrac{\sqrt{1+\cos A}}{\sqrt2}\bigg)\bigg(\dfrac{\sqrt{1-\cos A}}{\sqrt2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \dfrac{\sqrt{1-\cos^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sqrt{\sin^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sin A}{\sqrt2}[/tex]

[tex]\text{LHS = RHS:}\quad \dfrac{\sin A}{\sqrt2} = \dfrac{\sin A}{\sqrt2}\quad \checkmark[/tex]

Mrs. Zhang's bee farm has a population that is about 1 tenth as large as Mr. Doyle's bee farm. If Mrs. Zhang's bee population is about 46,000, about how many bees does Mr. Doyle have?

Answers

Answer:

Mr. Doyle has 460000 bees

Step-by-step explanation:

We are told that Mrs. Zhang's bee farm has a population that is about 1 tenth as large as Mr. Doyle's bee farm.

Thus;

Population size of Mrs. Zhang's bee farm = 1/10 × population size of Mr. Doyle's bee farm

Now, we are given that Mrs. Zhang's bee population is about 46,000.

Thus, from the earlier equation, we have;

46000 = 1/10 × population size of Mr. Doyle's bee farm

Thus, when we multiply both sides by 10,we get;

population size of Mr. Doyle's bee farm = 46000 × 10 = 460000 bees


The diagonal of a square is 4 cm. Find its ar
ea.


Answers

Answer:

Area of square= d²/2

= 4²/2

= 16/2

= 8cm²

Step-by-step explanation:

A=

[tex]a {?}^{2} [/tex]

d=

[tex] \sqrt{2a} [/tex]

we can find A.USE THIS FORMULA

A =1/2 d squared

so 1/2×4 squared=8

8 is the answer

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after minutes of calls is , and the remaining credit after minutes of calls is . What is the remaining credit after minutes of calls?

Answers

Answer and Step-by-step explanation: Suppose remaining credit is y and time in minutes is x. To determine a value of y corresponding to a value of x, first find the equation for the function.

Since the function is linear, the equation is of the form: y = mx + b. To determine it:

1) Find slope, or inclination, of the line:

slope (m) = [tex]\frac{y_{b}-y_{a}}{x_{b}-x_{a}}[/tex]

where x's and y's are points of the function.

2) Determine the y-intercept, or b: Use a point of the function, replace them at the equation, y = mx + b, and find b.

3) The equation will be: y = mx + b

With the equation, replace x for the minutes the question is asking and calculate to find the remaining credit.

Th result will be a pair (x,y)

Factoring the expression 20a^3b^3 – 24a^5b^2 + 4a^3b^2 gives a new expression of the form
Ua^xb^y (Wa^2 + Vb+ z), where U > 0.
What is the value of U?
What is the value of W?
What is the value of V?
What is the value of Z?
What is the value of x?
What is the value of y?

Answers

Answer:

[tex]U = 4\\W = -6\\V = 5\\Z = 1\\x = 3\\y = 2[/tex]

Step-by-step explanation:

Then given expression is:

[tex]20a^3b^3-24a^5b^2+4a^3b^2[/tex]

To express the given expression in the form:

[tex]Ua^xb^y(Wa^2+Vb+Z)[/tex]

and to find the values of [tex]U, W, V, Z, x, y[/tex].

First of all, let us check the maximum common powers of [tex]a, b[/tex] in each term from the given expression.

The maximum common power of [tex]a[/tex] is 3 and

The maximum common power of [tex]b[/tex]  is 2.

So, we can take [tex]a^3b^2[/tex] common out of each term.

And maximum common coefficient that can be taken out common is 4.

Taking 4[tex]a^3b^2[/tex] common from each term of given expression, we get:

[tex]4a^3b^2(-6a^2+5b+1)[/tex]

Now, let us compare the given term with:

[tex]4a^3b^2(-6a^2+5b+1)[/tex] = [tex]Ua^xb^y(Wa^2+Vb+Z)[/tex]

Now, the values that we get the following values:

[tex]U = 4\\W = -6\\V = 5\\Z = 1\\x = 3\\y = 2[/tex]

which is our answer.

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