Solve the simultaneous equation, will give out brainliest answer

a=bcd
a+b=cd
a+b+c=d
a+b+c+d=1​

Solve The Simultaneous Equation, Will Give Out Brainliest Answera=bcda+b=cda+b+c=da+b+c+d=1

Answers

Answer 1

Answer:

a = 1/42, b = 1/7, c = 1/3 and d = 1/2

Step-by-step explanation:

a = bcd (1)

a + b = cd (2)

a + b + c = d (3)

a + b + c + d = 1  (4)​

Substituting equation (3) into equation (4), we have

a + b + c = d (3)

a + b + c + d = 1  (4)​

(a + b + c) + d = 1  (4)​

d + d = 1  (5)

2d = 1

dividing through by 2, we have

d = 1/2

Taking equation (2) and equation (3), we have

a + b = cd (2)

a + b + c = d (3)

substituting equation (2) into equation (3), we have

a + b = cd (2)

(a + b) + c = d (3)

cd + c = d

Factorizing, we have

c(d + 1) = d

dividing through by d + 1, we have

c = d/(d + 1)

substituting d = 1/2 into the equation, we have

c = d/(d + 1)

c = 1/2 ÷ (1/2 + 1)

c = 1/2 ÷ 3/2

c = 1/2 × 2/3

c = 1/3

Taking equations (1) and (2), we have

a = bcd (1)

a + b = cd (2)

Substituting equation (1) into (2), we have

a = bcd (1)

a + b = cd (2)

bcd + b = cd (2)

Factorizing, we have

b(cd + 1) = cd

dividing through by (cd + 1), we have

b = cd/(cd + 1)

substituting the values of c and d into the equation,, we have

b = cd/(cd + 1)

b = 1/3 × 1/2/(1/3 × 1/2 + 1)

b = 1/6/(1/6 + 1)

b = 1/6 ÷ 7/6

b = 1/6 × 6/7

b = 1/7

Since a = bcd, substituting the values of b,c and d into the equation, we have

a = bcd

a = 1/7 × 1/3 × 1/2

a = 1/42

So, a = 1/42, b = 1/7, c = 1/3 and d = 1/2


Related Questions

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

Option D, 192 m³

Step-by-step explanation:

Volume = base area × height

= (6×8/2)×8

= 192 m³

There are 50 teenagers at a swim meet. The ratio of locals to out-of-town

participants is 2:3. How many teenagers travelled from out-of-town to the swim

meet?

Answers

Answer:

There are 30 out of towners

Step-by-step explanation:

locals: out of town: total

2            3                     2+3 = 5

There are 50 total 50/5 =10 so multiply each term by 10

locals: out of town: total

2*10        3 *10              5*10

20                 30             50

There are 30 out of towners

Total teenagers = 50

Ratio = 2:3

Let the ratio people out of town be x

2x + 3x = 50

5x = 50

x = 10

Therefore 3× 10, 30 people out of town travelled to swim meet

Must click thanks and mark brainliest

Four bells at intervals of 12 minutes, 18 minutes, 20 and 25 minutes. If they toll together at 10 am, when next do they toll together again? ​

Answers

Answer:

1.00 am

Step-by-step explanation:

Find the LCM of 12,18,20 and 25

=900 min ....change it to hrs =15 hrs

10.00am___1000hrs

1000hrs+15hrs

=0100hrs

=1:00 am

Find the measure of the indicated angle to the nearest degree.
13
6

Answers

Answer:

62.5 or 63

Step-by-step explanation:

the length of the side adjacent to the angle is given (6), and the length of the hypotenuse is also given (13)

the trig function that deals with adjacent and hypotenuse lengths is cosine.

cos(x) = adj/hyp

cos(x) = 6/13

x = 62.5

The diagram above shows a plan for a park. ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.​

Answers

Answer:

Perimeter of the park = 70 cm

Step-by-step explanation:

Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)

Perimeter = 2πr + 2(BC)

✔️Perimeter of the 2 semicircles = 2πr

Where,

radius (r) = ½(AB) = ½(7)

r = 3.5 cm

Perimeter = 2*π*3.5 = 7*π

Perimeter of the two semicircles = 21.9911486 ≈ 22 cm

✔️Find BC using Pythagorean theorem:

Thus,

BC = √(AC² - AB²)

AC = 25

AB = 7

BC = √(25² - 7²) = √576

BC = 24

✔️Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)

Perimeter of the park = 22 + 2(24)

= 22 + 48

= 70 cm

Enter the ratio as a fraction: 6ft to 10 inches

Answers

Answer:

6 feet to 10 inches

6 ft : 10 inches

There are 12 inches in a foot, so we have:

72 inches : 10 inches

36 inches : 5 inches

36:5

So the ratio is 36/5

Let me know if this helps!

Help Fast! I will rate

Answers

Answer: The eldest child received $465,000, the middle child received $13,000, and the youngest received $93,000.

Step-by-step explanation: Subtracting $13,000 from $571,09 leaves the youngest and eldest’s money, $558,000. Dividing the amount left by 6 gives you the youngest siblings check and a total of $93,000. To find how much the eldest receives, you subtract $93,000 from $558,000 leaving the eldest $465,000.

Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.

Answers

Answer:

Commercials x = 7

Movies y = 2

Step-by-step explanation:

Let commercials = x

Let's movies = y

$40 is for commercials

$110 is for movies.

Commercials plus movies for the Year = 9

She earned total of $500

X+ y = 9..... equation 1

40x + 110y = 500.... Equation 2

Multipling equation one by 40

40x + 40y = 360

Subtracting equation one from equation 2

70y = 140

Y = 2

If y = 2

X + y = 9

X + 2 = 9

X = 9-2

X = 7  

anyone know the answer?​

Answers

Answer:

B

Ive had this before

If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is _____ cm.​

Answers

If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is 10.5_ cm.

Answer: Perimeter = 10.5 cm

Step-by-step explanation:

Concept:

Here, we need to know what is an equilateral triangle.

An equilateral triangle is a triangle in which all three sides have the same length.

Perimeter = 3a

a = side length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

a = 3.5 cm

Given formula

Perimeter = 3a

Substitute the value into the formula

Perimeter = 3 (3.5)

Simplify

Perimeter = 10.5 cm

Hope this helps!! :)

Please let me know if you have any questions

In a bag there are red, green and purple counters. 3⁄8 of the counters are red, 1⁄6 of the counters are green. What fraction of the counters are purple?

Answers

3/8 + 1/6 = 9/24 + 4/24 = 13/24
The purple counters must be 11/24 of the total

NEED HELP ASAP
Given the parent functions f(x) = 3x + 2 and g(x) = 5x – 10, what is g(x) – f(x)?

Answers

Answer:

2x - 12

Step-by-step explanation:

that is the procedure above

If 4 cans of cat food costs $17.20, how many cans of cat food can be purchased
with $38.70

Answers

Answer:

9

Step-by-step explanation:

let the price of one can food be x,

4x=17.20

x=4.3

number of can foods that can be purchased = 38.70/x = 38.7/4.3 = 9

Step-by-step explanation:

4CANS=$17.20

$38.70

cross multiply

4 multiply by 38.70 =154.8 divide by 17.20

ANSWER = 9

is three a solution of z^2 +1=4+3z?

Answers

Answer:

no

Step-by-step explanation:

z^2 +1=4+3z

Substitute into the equation and see if it is true

3^2 +1 = 4+3(3)

9+1 = 4+9

10 = 13

This is not a true statement so this is not a solution

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

Point A, B, and C are collinear points.

Step-by-step explanation:

When points lie on one line, meaning all of the points are on the same line --> this is known as collinear points.

What is the factor of
[tex] {x}^{4} - x[/tex]
Plz​

Answers

This is the answer I guess

A new Community Sports Complex is being built in Madision. The perimeter of the rectangular playing field is 324 yards The length of the field is 6 yards less than double the width What are the dimensions of the playing field?

Answers

x = width
y= length
2x +2y= 324
y = 2x-6
2x +2(2x-6)= 324
2x+ 4x -12=324
6x -12=324
6x= 324+12
6x= 336 /6
x = 56 yards
y= 2x-6
y = 2*56-6
y= 106 yards
Check >>
2x +2y= 324
2*56 +2* 106 = 324

What is the surface area of the cube, in square inches?

Answers

Answer:

The surface area of the cube is 648.96 sq in.

Step-by-step explanation:

This problem is made a lot easier by the fact that it's a cube.

So we first calculate the area of one of the faces. The length of the side of the side is 10.4 inches, and 10.4 * 10.4 = 100.16.

There are six faces, so we multiply the area of 1 face by 6. 100.16 * 6 = 648.96.

Therefore, the surface area of the cube is 648.96 sq inches.

Hope This Helps!

Place in order in from largest to smallest:
0.204, 0.04, 0.24, 0.42, 0.024

Answers

Answer:

0.42, 0.24, 0.204, 0.04, 0.024

Step-by-step explanation:

Translate the following phrase into an algebraic expression. use the variable n to represent the number. 4 less than triple a number

Answers

Answer:  3n - 4

Work Shown:

n = a number, aka a placeholder for a number

3n = triple a number

3n-4 = four less than triple a number

So whatever n is, we multiply by 3 and then subtract off 4.

As an example, if n = 12, then 3n-4 = 3*12-4 = 36-4 = 32.

toán 11!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

[tex]thr \: httr \: \: gr \: ujj \: tu \: \: fmgt[/tex]

Đây ạ!!!!!!!!!!!!!!!

shopkeeper gains rs540by selling some fruit but loses rs 612 by selling some vegetables. find the profit or loss ​

Answers

Answer:

sorry i dont know.......

Answer:

Loss = R.s. 72

Step-by-step explanation:

You can see in picture

Request : Please mark it brainliest answer

Solve.
Sy= 2x - 6
4x – 2y = 14
Use the substitution method

Answers

Answer:

14.4 i hope it helped you

From the graph, determine the equation of the line. On the graph (3,10) and (0,4)

Answers

Answer:

y = 2x+4

Step-by-step explanation:

The y intercept is 4

We can find the slope

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

   = (4-10)/(0-3)

   = -6/-3

   = 2

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2x+4

Graph
y = 3x^2.
Please thanks

Answers

Answer:

The image of the graph is below.

Step-by-step explanation:

Which expression is equivalent to 8f+5f?

Answers

The answer is

8f+5f

=13f

The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m, find the dimensions of the rectangle.

Answers

if you like my answer then please mark me as brainliest

What is 2/3 - (-2/3)?
A) 4/3
B) 4/3
C) 0
D) 2/3

Answers

Answer:

Option A, 4/3

Step-by-step explanation:

2/3-(-2/3)

= 2/3+2/3

= (2+2)/3

= 4/3

A) 4/3

Explanation: 2/3 + 2/3 = 4/3

The Oxy coordinate plane for two parallel lines a and a' has the equations 2x - 3y-1 = 0 and 2x - 3y + 5 = 0. respectively. Which vector translation to convert a to a'

Answers

Answer:

Remember that a vector translation can be written as:

T(a, b)

And if we apply this to a random point, (x, y), the translation gives:

T(a, b)(x, y) = (x + a, y + b)

now, remember that a general line can be written as:

y = m*x + s

Then a point of that line can be written as: (x, m*x + s)

Then if we apply the translation to a point in the line, we get:

T(a, b)(x, m*x + s) = (x + a, m*x + s + b)

Here we have two lines:

2x - 3y - 1 = 0

2x - 3y + 5 = 0

First, let's rewrite both of these in the slope-intercept form:

y = (2/3)*x - 1/3

y = (2/3)*x + 5/3

Now let's assume that we apply a translation to the first line, that has points of the form (x,  (2/3)*x - 1/3), such that we want to get points of the form:

(x, (2/3)*x + 5/3).

Then we must have:

T(a, b)(x,  (2/3)*x - 1/3) = (x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

Then we need to solve:

(x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

This means that:

x + a = x

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

From the first equation, we can see that a = 0

Now we can solve the second one to find the value of b.

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

subtracting (2/3)*x in both sides, we get:

-1/3 + b = 5/3

b = 5/3 + 1/3

b = 6/3 = 2

b = 2

Then the vector translation is:

T(0, 2)

So it moves the whole line 2 units upwards.

. She lets numbers from 1 to __ represent defective batteries, and __ to __ represent working batteries. She generates this list: 120, 413, 472,564, 38, 266, 344, 476, 486, 177, 26, 331,358,131,352, 227, 31, 253, 31, 277 ​

Answers

Answer:

Since 50 out of the 600 batteries  are defective, She lets numbers from 1 to 50 represent defective batteries, and 51 to 600 represent working batteries

~OAmalOHopeO~

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