The prime cost of an article was four times the value of material used. The cost of raw materials was increased in the ratio 3 : 4 and the productive wage was decreased in the ratio 4 : 5. Find the present prime cost of an article, which could formerly be made for Rs. 540

Answers

Answer 1

Answer:

Step-by-step explanation:

The prime cost = 4 times the value of material used

Former Prime cost = 540

Value of material = 540 / 4 = Rs. 135

Since ;

Prime cost = raw material + wages

540 = 135 + wages

Wages = 540 - 135

Wages = 405

Increase in raw material ; 3 : 4

New cost of raw materials = (4/3) * 135 = 180

Decrease in wage ; 4 : 5

New wage = 4/5 * 405 = 324

New prime cost :

180 + 324

= 504


Related Questions

I don’t not know how to do this and I’m struggling,please help.

Answers

Answer:

The answer is option c) 56.5 ft²

Step-by-step explanation:

Area of shaded region =

Area of Big Circle - ( Area of 1st small circle+ Area of 2nd small circle )

Area of 1st small circle:

π x r²

r = 3ft

Area =  3.14 x 3 x 3 => 28.26 ft²

Area of 2st small circle:

π x r²

r = 3ft

Area =  3.14 x 3 x 3 => 28.26 ft²

Area of big circle:

π x r²

r = 6ft ( ∵ Diameter of 1st small circle = 6 and since 2 small circles have equal area, their diameter should be the radius of big circle )

Area =  3.14 x 6 x  6 => 113.04 ft²

Area of shaded region => 113.04 - (28.26 + 28.26 )

=> 113.04 - 56.52

=> 56.52 ft²

The system of linear equations Negative 2 x + y = 8 and Negative 3 x minus y = 7 is graphed below.

On a coordinate plane, 2 lines intersect at (negative 3, 2).

What is the solution to the system of equations?

Answers

Answer:

x= -3

y= 2

Hope it helps :D

Answer:

its A

Step-by-step explanation:

on edge  2021

3x + 5y = 23

y = x + 3

Answers

Answer:

(1,4)

Step-by-step explanation:

Which number is equivalent to 2^3x = 10

Answers

Answer:

5/4

Step-by-step explanation:

see steps below:)

calculate the compound interest on an investment of R6500 at 7,5% per annum invested for 3 years​

Answers

Answer:

Compound interest = Rs 1,575 (Approx.)

Step-by-step explanation:

Given:

Amount invested = R.s 6,500

Rate of interest = 7.5% per annum

Number of year = 3 year

Find:

Amount of compound interest

Computation:

Compound interest = P[(1+r)ⁿ - 1]

Compound interest = 6500[(1+7.5%)³ - 1]

Compound interest = 6500[(1+0.075)³ - 1]

Compound interest = 6500[(1.075)³ - 1]

Compound interest = 6500[1.2423 - 1]

Compound interest = 6500[0.2423]

Compound interest = 1574.95

Compound interest = Rs 1,575 (Approx.)

I have no idea what I’m doing

Answers

Answer:

15.2 cm, 130 m

Step-by-step explanation:

1. The sine of angle Z is XY/17.4; (opposite/hypotenuse);

sin(61) = XY/17.4; multiply both sides by 17.4 to find XY

17.4sin(61) = 15.2 cm

2.

This triangle is made by the anchor of the balloon to the ground, the balloon, and the area on the ground directly below the balloon.

The hypotenuse of the triangle is the 170 m string.

The angle of inclination is 50 degrees.

The height of the triangle will be opposite of the angle of inclination.

Therefore,

sin(50) = height/170 (opposite/hypotenuse)

170sin(50) = 130.2 meters

the answer would be C, lol we all don’t pay attention in class sometimes haha

Someone please help <3
How many solutions does the equation 6n − 6n − 12 = 14 − 2 have?
Thank you!!

Answers

Answer:

i think there's zero solutions

Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 3 Bonus question

Answers

Answer:

226

Step-by-step explanation:

Area of rectangle:

x+6=17

x=11

11+6=17

11+3=14

17×14=238

Area of triangle:

[tex] \frac{1}{2} \times b \times h[/tex]

Use phytagoras theorem to find the base of the triangle:

c²=a²+b²

5²=4²+b²

25=16+b²

b²=25-16

b²=9

b=√9

b=3 (only the half)

b=6 (the whole base)

[tex] \frac{1}{2} \times 6 \times 4[/tex]

3×4

12

Shades region:

238-12

=226

Find the total pay for biweekly at $9.50 per hour

Answers

how many hours do they work? Please be more spesific

Answer:

The answer is 760

Step-by-step explanation:

If you make $9.50 an hour with 8 hours a day and 40 hours a week you multiply the 9.50 with 40 to get 380. Now, you have the total for one week you can double it to get the pay for two weeks which come out to 760.

Write a inequality for the graph below

Answers

Answer:

X ≥ -6

Step-by-step explanation:

since the arrow is pointing towards the right side i.e tending towards x

Suma masurilor a doua unghiuri este egala cu 180(de grade). Determinati masura fiecarui unghi stiind ca unul dintre unghiuri are masura egala cu 20% din masura celuilalt unghi

Answers

Answer:

150 grados

30 grados

Step-by-step explanation:

Sea x la medida del primer ángulo

Sea la medida del segundo ángulo y

Según la pregunta;

x + y = 180 -------- (1)

De la segunda oración;

x = 0,2 años -------- (2)

Sustituyendo (2) en (1)

0,2 años + y = 180

1,2 años = 180

y = 180 / 1,2

y = 150 grados

Pero;

x = 0,2 años

Entonces

x = 0,2 (150)

x = 30 grados

Por eso;

y = 150 grados

x = 30 grados

Solve for x: 3(x - 2) = -9
1. 1
2. -1
3. - 7/3
4. 3/7

Answers

Answer:

2) -1

Step-by-step explanation:

Answer:

the answer is 2. -1...............

need help on this please

Answers

Answer:

5.7

Step-by-step explanation:

7^2- 4^2= 33

[tex]\sqrt{33}[/tex]= 5.7

5.7 is the main answer which is correct

A cylinder is wight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?

Answers

Complete Question

A cylinder is eight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?

Answer:

160.74 cubic inches

Step-by-step explanation:

Step 1

Find the volume of cylinder

= πr²h

A cylinder is eight inches high with a radius of three inches.

Height = 8 inches

Radius = 3 inches

Volume of the cylinder = π × 3² × 8

= 226.19 cubic inches

Step 2

Find the volume of sphere

= 4/3 π r³

It contains a ball with a diameter of five inches.

Diameter = Radius /2 = 5/2 = 2.5 inches

Volume of the Sphere = 4/3 × π × 2.5³

= 65.45 cubic inches

Step 3

What volume is left unoccupied in the cylinder?

This is calculated as:

Volume of Cylinder - Volume of sphere

= 226.19 cubic inches - 65.45 cubic inches

= 160.74 cubic inches

Therefore, the volume is left unoccupied in the cylinder is 160.74 cubic inches

2x2 = 4 4x 10 = 40 x 32 = ?

Answers

Answer:

1280

Hope this helped :D

Shannon won $200 dollars playing Bingo last week. This week she won
$450. What is the percent of change in her winnings?

55.5% increase

125% decrease

55.5% decrease

125% increase

Answers

Answer: 125% increase

Step-by-step explanation: She won 200 dollars last week and now she won 450. If more, less divides. So 450 is more than 200.

This would give you 450/200. You're trying to find percentage so you multiply by a hundred. 450/200 * 100. This will give you 125%

Find the number of moles of Argon in 97.37 grams.

Answers

Answer:

n = 2.43 moles

Step-by-step explanation:

Given mass, m = 97.37 grams

The mass of Argon is, M = 39.948 g/mol

We know that,

No. of moles = given mass/molar mass

[tex]n=\dfrac{97.37}{39.948}\\\\n=2.43\ moles[/tex]

Hence, there are 2.43 moles of Argon.

PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT

PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH

Answers

Answer:

It's the first graph

Step-by-step explanation:

If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?

Answers

Answer:

8

Step-by-step explanation:

All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8

7 times 0 is 0, so you are left with 8 as your answer

Mrs. Genebe worked all year
and earned $23,400. How
much did she earn per week?

Answers

Answer:

$450

Step-by-step explanation:

that's the right answer

Edward has a box of following Skittles: 5 red, 4 green, 6 orange, 3 purple, and 7 yellow. He wants to know what the probability of choosing a red Skittle, eating it, and then choosing a yellow Skittle is. Which expression below shows Edward how to correctly find the probability of this situation? Skittles Original O 7/25 x 4/25 5/25 x 7/25 5/25 x 7/24 05/24 x 7/24​

Answers

Answer:

Let's add the total skittles to get our outcome:

25 in total.

5(red skittles)/25(total skittles in all)

7(yellow skittles)/24(total skittles in all NOW since you took a red skittle)

So therefore your expression is:

5/25 x 7/24

Find the indicated limit, if it exists.

Answers

Answer:

[tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Constant]:                                                                                             [tex]\displaystyle \lim_{x \to c} b = b[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Step-by-step explanation:

*Note:

When you graph the function, the left-hand and right-hand limit does equal the same.

Step 1: Define

[tex]\displaystyle f(x) = \left \{ {{x + 9, x < -8} \atop {-7 - x, x \geq -8}} \right.[/tex]

Step 2: Find Limit

Substitute in function [Limit]:                                                                        [tex]\displaystyle \lim_{x \to -8} f(x) = \lim_{x \to -8} (-7 - x)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle \lim_{x \to -8} f(x) = -7 - (-8)[/tex]Simplify:                                                                                                         [tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

The opposite of the integer represented by point A is?

Answers

three................



A certain television is advertised as a 59-inch TV (the diagonal length). If the width of

the TV is 49 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

32.9 inches

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base = 49

c =  hypotenuse = diagonal = 59

l² + 49² = 59²

l² = 59² - 49²

3481 - 2401 = 1080

find the square root

32.9 in

Allison measured her rectangular deck and found that it has dimensions of
yards by 8 yards. Both the length and the width may have a measurement error of up to
%
What is the maximum possible area of Allison's deck, rounded to the nearest thousandth of a square yard?

Answers

Answer:

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

24

Step-by-step explanation:

You need to plug in 3 for all of the x-values

That looks like 2(3)^2 + 5(3) - 9

Then if you simplify it is 2(9) + 15 - 9

Then simplify one last time and you get a final answer of 24

[tex]_____________________________________[/tex]

ANSWER:x - intercept:

[tex] \\ \tt ( - \frac{ 5 \sqrt{97} }{4} ,0),( - \frac{5 + \sqrt{97} }{4} ,0)[/tex]

y - intercept

[tex]\tt(0, - 9)[/tex]

[tex]_____________________________________[/tex]

꧁____YunaKoharuChan____꧂

Easy 6th Grade Math. Help me out for 100 points <3

Answers

Answer:

the answer is 33

Step-by-step explanation:

for every 2 Illustrations there are 3 texts meaning if there is 22 Illustrations there would be 33 texts

Answer:

33 text

Step-by-step explanation:

Text : illustrations

3                 2

For every 3 text, there are 2 illustrations

We have 22 illustrations so we need to multiply by 11

Text : illustrations

3*11            2*11

33                  22

We need 33 text

Simplify the expression. Write your answer as a power.5^8/5^5​

Answers

Answer:

5^3

Step-by-step explanation:

First, find 5 to the 8th power:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390, 625

Then, find 5 to the 5th power:

5 x 5 x 5 x 5 x 5 = 3,125.

Finally, divided the two numbers:

390, 625/3,125 = 125

Now, right this as a power:

5^3

hey! i’ll give brainliest please help

Answers

Answer:

A subject and a predicate

Step-by-step explanation:

Have a good day :)

A random number from 1 to 5 is selected
50 times. The number 1 is selected 13 times,
2 is selected 8 times, 3 is selected 14 times, 4
is selected 6 times, and 5 is selected 9 times.
What is the relative frequency of selecting a 2?
3?

Answers

Answer:

Relative frequency of selecting a 2 = 8/50 = 0.16

Relative frequency of selecting a 3 = 14/50 = 0.28

Step-by-step explanation:

When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.

Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.

Out of these 50 times, the outcome "2" appears 8 times.

Then the relative frequency of selecting the number 2 is:

f(2) = 8/50 = 0.16

And of these 50 experiments, the outcome "3" appears 14 times.

Then the relative frequency of selecting the number 3 is:

f(3) = 14/50  = 0.28

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