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

help please coordinates for math

Answers

Answer: Slope = c / a + b

Concept:

Here, we need to know the idea of a slope.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

Solve:

STEP ONE: Identify the points

A (0, 0)

C (a + b, c)

STEP TWO: Apply the formula

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (c - 0) / (a + b - 0)

Slope = c / a + b

Hope this helps!! :)

Please let me know if you have any questions

Could someone please help me with this

Answers

Answer:

what are the questions

Step-by-step explanation:

what’s the answer ? i don’t understand this one. please show me the answer

Answers

Can you show me the answer options you have?

Answer:

hello,

Step-by-step explanation:

n+2*(2n-5)=20

5n-10=20

5n=30

n=6

A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
per golf ball

Answers

Answer:

0.97 per ball

Step-by-step explanation:

Take the total cost and divide by the number of items

8.74 /9

0.97111

Rounding to the nearest cent

0.97

A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.

12x + 25y = 300

x = number of used games

y = number of new games

How many games can Jonathan buy if he spends all his money on used games?

Answers

Answer:

25 used games

Step-by-step explanation:

Divide his money by the price for one used game

300/12

25

Answer:

y=0

12x=300

X=300/12

X=25

he can buy 25 used games .

Step-by-step explanation:

16789047+65390-49532578=?

Answers

I think the awnser is -32678141

Answer:

-32678141

Step-by-step explanation:

On the grid, sketch a graph to represent
Sandy's walk to school based on the
description below.
Sandy lives 200 m from school. One
morning she leaves for school at a
slow pace. On the way she meets a
friend and stops to talk för 10
minutes. Sandy realizes that she
forgot her homework and runs back
home to pick it up. It takes five
minutes to get home. Immediately she
heads back to school at a fast pace.

Answers

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let x represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point x, we have the following coordinate points on the graph in a tabular form;

[tex]\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}[/tex]

The plot of the above point is completed using MS Excel as shown in the attached diagram.

What is the estimate for 312+138+207

Answers

Answer:

657

Step-by-step explanation:

312 + 138 + 207

= 450 + 207

= 657

Answer:

600

Step-by-step explanation:

To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.

312: there is one in the tenths place, so it will stay as 300.

138: there is three in the tenths place, so it will stay as 100.

207: there is a zero in the tenths place, so it will stay as 200.

If you are doing it with the one's place, it is the same method. Either round up or down.

300 + 100 + 200 = 600

The answer is 600.

Find the value of each variable.

Answers

The two congruent base angles tell us that this triangle is isosceles, meaning it has two congruent sides. Therefore, we can set the two expressions equal to each other and solve from there.

9x - 73 = 3x + 23

6x - 73 = 23

6x = 96

x = 16

Side = 3(16) + 23 = 48 + 23 = 71

Hope this helps!

Answer:

x = 16

Step-by-step explanation:

Since the base angles are the same, the side lengths are the same

9x- 73 = 3x+23

Subtract 3x from each side

9x - 3x- 73 = 3x+23 -3x

6x- 73 = 23

Add 73 to each side

6x - 73 +73 = 23+73

6x = 96

Divide by 6

6x/6 = 96/6

x =16

Marking Brainliest. Can someone please how to do this with a fairly simple explanation? I'm not sure what to do.

Answers

Answer: See the diagram below

Explanation:

In the LS column, you'll have these steps

3x - 1

3*4 - 1

12 - 1

11

Effectively, we replaced x with 4 and then simplified using PEMDAS.

And in the RS column, you'll have these steps

x + 7

4 + 7

11

We get the same thing at the bottom of each column. This shows that we end up with 11 = 11 after simplifying both sides. Therefore, we've confirmed that x = 4 is the solution to 3x - 1 = x + 7

31/6=0.1875. Which calculation is NOT a way to find 9/16?

Answers

Answer:

A

or

the top right option

or

0.5 + 0.1875

Step-by-step explanation:

We know D or 9 divided by 16 is the same as 9/16, so just solve for that.

Then solve for the others and find the ones that doesn't equal 9/16.

find the length of one side of a regular hexagon if its perimeter is 24 x+48

A. 3x+3
B. 6x+12
C. 4x+8
D. 8x+16

Answers

Answer:

C ) 4 x + 8

Step-by-step explanation:

( 24 x + 48 ) / 6

4 x + 48

The length of a regular hexagon is:

4x ₊ 8

How many sides do a hexagon have? How do we calculate the length and parameter of it?

A regular hexagon have six sides.

The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.

Solution:

Given,

parameter of a hexagon = 24x ₊ 48

length of one side of a hexagon s = p ÷ 6

                                                  s = 24x ₊ 48 ÷6

                                                  s = 4x ₊ 8

Hence we get the length of one side as 4x ₊ 8

Learn more about "shapes" here-

brainly.com/question/25965491

#SPJ2

Find the number of possible ways one can choose marbles from a bag containing three marbles: a) if the order is important b) if the order is not important.

Answers

Answer:

There are 3 marbles, that we assume are different.

Let's define them as marble 1, marble 2, and marble 3.

a) If the order is important, and we select the 3 marbles, then:

for the first marble, we have 3 options.

For the second marble, we have 2 options (because one is already taken)

for the third marble is only one option.

The total number of combinations is equal to the product between the numbers of options, so in this case, we have:

C = 3*2*1 = 6 combinations.

Now, if we only select 2 marbles from the bag, we have:

for the first marble, we have 3 options.

For the second marble, we have 2 options

Here the number of different combinations is:

C = 3*2 = 6 combinations.

And if we select only one marble from the bag, we have:

for the first marble, we have 3 options.

Then here are only 3 combinations.

the total number of combinations is:

C' = 6 + 6 + 3 = 15 different combinations.

b) If the order is not important, then there is only one combination when we draw the 3 marbles.

When we draw one marble there are 3 combinations (one for each marble)

When we draw two marbles, again there are 3 combinations (one for each marble that we do not draw)

then the total number of combinations in this case is:

C = 1 + 3 + 3 = 7

Find the perimeter of the following figure. ​

Answers

Answer:

10 meters

Step-by-step explanation:

Perimeter= 3+3+2+2

=10

Have a nice day:)

What is the length of the altitude of the equilateral triangle below?

A. /240
B. 144
C. 12
D. 4
E. 12/3
F. 4/3

Answers

Answer:

its C  option which is 12

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity in either of the 2 right triangles

a² = (4[tex]\sqrt{3}[/tex] )² + (8[tex]\sqrt{3}[/tex] )² = 48 + 192 = 240 ( take square root of both sides )

a = [tex]\sqrt{240}[/tex] → A

Solve for 2. Round to the nearest tenth of a degree, if necessary.
w
36
V
20
50
X

PLS HELP

Answers

Answer:

Step-by-step explanation:

This is classic right triangle trig. If you're solving for x, which you are, you have to consider how the given sides relate to that angle. The side with a length of 50 is opposite the angle x, while the side of length 36 is adjacent to angle x. The trig ratio that utilizes the sides opposite and adjacent is tangent; HOWEVER, we are looking for a missing angle. Finding missing angles on your calculator requires the 2nd button. To find the missing angle x, you are looking for the angle that has a tangent ratio of 50 over 36 (opposite over adjacent...Toa in SohCahToa). Hit the 2nd button on your calculator and then the tangent button (in degree mode, not radian mode) and you will see this on your screen:

[tex]tan^{-1}([/tex]

After the parenthesis, enter the fraction and then hit the enter button to get the angle measure in degrees:

[tex]tan^{-1}(\frac{50}{36})=54.2[/tex] degrees.

It's very important that you learn how to use your calculator to find the trig identities that give you the ratio in decimal form and how to find the missing angles. Missing angles always use the 2nd button along with whatever trig identity you are using.

Hunter pushed a couch across the room. He did 800 J of work in 20 seconds. The couch weighed 500 N. How much power did he have?
A . 40 W
B . 1.6 w
C. 16,000 w
D . 800 w

Answers

The answer is d Because if you take the 800+ the 20th I will give you 820 then plus the 500 then subtract another 20-10 divide 45 then you’ll end up with your original number 800

can someone help me ixl

Answers

Answer:

5.5 cm

Step-by-step explanation:

√(40²-24²) - √(40²-30²)

= 32-10√7

= 5.5 (rounded to the nearest tenth)

Answered by GAUTHMATH

I believe 5.5 cm is the answer

a cube plus b cube is equal to a + b whole (a square minus a b + b square whole) ​

Answers

Answer:

a =b

Step-by-step explanation:

x423-2
Which expression is equivalent to log12
-?
(x+1)
O 410g,2x+ 2logi z(x2 – 2)- 5logiz(x: 1)
O 410912x+ žlog12. - 5log,2x+log421
o (x2
log124x+10912(x - 2)-510912(x)+1
4109,2x+ 3 109126x - 2)- 5log12(x + 1)

Answers

Answer:

D

Step-by-step explanation:

log(x^4*sqrt(x^3-2)/(x+1)^5)=log(x^4)+log(sqrt(x^3-2))-log((x+1)^5)

=> 4log(x)+(1/2)*log(x^3-2)-5log(x+1)

Guys please help me with this problem

Answers

Answer:

11. 5%

Step-by-step explanation:

1 + percent increase = 1.115

Percent increase = 1.115 - 1 = 0.115 = 11.5 /100 = 11.5 %

Answer:

Step-by-step explanation:

In the exponential form of an equation, the growth or decay rate is found inside the parenthesis. The standard form of an exponential equation is

[tex]y=a(1+r)^x[/tex] if it's growth, or

[tex]y=a(1-r)^x[/tex] if it's decay.

Looking at those equations, logically a growth equation is greater than 1, while a decay equation is less than 1. Obviously, our function is a growth.

To determine the rate of growth, we look closely at (1.115) inside the parenthesis. BECAUSE that is greater than 1, we KNOW it is growth, therefore, it follows the (1 + r) pattern. Let's break up our (1.115) so it models that pattern:

(1.115) --> (1 + .115) and since these are percentages in their decimal form, it follows that 1 is 100% and .115 is 11.5%. Our growth rate is 11.5%

In ABC, what is the measure of angle B?

Answers

Answer:

D

Step-by-step explanation:

The sum of two remote interior angles (a remote interior angle is the interior angle that is not supplementary to the exterior angle given -- in this case A and B are remote angles) equals the exterior angle.

In This case A + B = 140

A = x + 2

B = 2x

x +2 + 2x = 140

3x + 2 = 140                     Subtract 2 from both sides

3x = 138                           Divide by 3

x = 138/3

x = 46

<B = 2x

<B = 2*46

<B = 92

What are the zeros of f(x) = x2 - 8x+16?
O A. x= 4 only
B. x = -4 and x = 4
C. X=-2 and x = 8
D. x=-4 only

Answers

Answer:

x=4

Step-by-step explanation:

f(x) = x^2 - 8x+16

Set equal to zero

0 = x^2 -8x +16

Factor

what 2 numbers multiply to 16 and add to -8

-4*-4 = 16

-4+-4 = -8

0= (x-4)(x-4)

Using the zero product property

x-4 = 0  x-4 =0

x=4  x=4

How long would it take a garden snail at his top speed of 0.01 m/s to travel 1 mile? Use 1 mile = 1609 meters. Round to the nearest whole hour.

Answers

Answer:

45 hours

Step-by-step explanation:

1 mile * 1609 meters  *     1 s           = 160900 sec

               1 mile               .01 meters

160900 sec / 60 /60 = 44.7 = 45 hours

Step-by-step explanation:

This is a cute question lol.

So this lil snail is trying to go 1609 meters, at a speed of 0.01 m/s (meters per second). Lets see how long that takes.

The way I like to do conversion problems is by starting with the value that doesn't have something on the bottom (1609 m) then multiplying to get rid of that variable.

I'll show you what I mean:

[tex]\frac{1609 m}{1} *\frac{1 s}{0.01 m} *\frac{1 min}{60s} *\frac{1 hr}{60 min}[/tex]

Then, we just multiply everything.

[tex]\frac{1609 *1*1}{1*0.01*60*60}hr[/tex]

Simplify.

[tex]\frac{1609}{36}hr[/tex]

Divide.

[tex]44.694444444...hr[/tex]

Round to the nearest whole hour.

[tex]45 hr[/tex]

Answer:

45 hours

Which expression is equivalent to d - 8 - 8d?



Answers

Answer:

−7d−8

Step-by-step explanation:

Subtract 8d from d.

Which answer shows 0.05 written in scientific notation?​

Answers

Answer:

5x10^-2 option B

Step-by-step explanation:

Answer:

5x10^-2

the second one.

find A={a,b,c} then find A*A.​

Answers

Assuming you want to do a cartesian product, then you basically form items (x,y)  such that x is in set A, and y is in set A

More generally, A * B will consist of items of the form (x,y) such that x is in A and y is in B. However, we have B = A.

So,

A * A = {

(a,a), (a,b), (a,c)

(b,a), (b,b), (b,c)

(c,a), (c,b), (c,c)

}

I broke things up into separate rows to show that we can form a 3x3 table. Each row is a different x value from the set {a,b,c}. Each column is a different y value from the set {a,b,c}

In my opinion, this helps organize things much better than rather have it all on one single line like this

A * A = { (a,a), (a,b), (a,c), (b,a), (b,b), (b,c), (c,a), (c,b), (c,c) }

which in all honesty looks like a bit of a cluttered mess.

Answer:

Step-by-step explanation:

A={a,b,c}

A×A={a×a,a×b,a×c,b×a,b×b,b×c,c×a,c×b,c×c}

determine the equation of a parallel line to x=5

Answers

Answer:

x = constant ( other than 5)

Step-by-step explanation:

The slope of a line x=5 is  undefined

Parallel lines have the same slope

So any line that is vertical ( slope undefined) will be parallel

The expression.1*e^0.0347t models.The balance in thousand of dollars where t represents time.In years after the account was opened. What does the 0.034 represent in this context? Write an expression for the number of years after which there will be 15,000 Dollars in the account?

Answers

Answer:

0.0347 = constant of proportionality

[tex]1 * e^{0.0347t} = 15000[/tex]

Step-by-step explanation:

Given

[tex]1*e^{0.0347t}[/tex]

Solving (a): what does 0.0347 represent?

An exponential model is represented as:

[tex]f(t) = a * e^{kt}[/tex]

Where:

[tex]k \to[/tex] constant of proportionality

So, by comparison:

[tex]k = 0.0347[/tex]

Hence:

[tex]0.0347 \to[/tex] constant of proportionality

Solving (b): Formula to calculate when balance equals 15000

To do this, we simply equate the formula to 15000.

So, we have:

[tex]1 * e^{0.0347t} = 15000[/tex]

Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point 95, 12).
If the coordinates of A and B are (-10, -3) and (7,14), respectively, the x-intercept of CĐ is (blank). The point
(Blank) lies on CD.

Answers

Answer:

Hello! the answer is CD is 17,0 (-2,19)

Other Questions
What is the format of this proof?Given: AB = BCProve: B is the midpoint of AC.BO two-column proofO one-paragraph proofO flowchart prooftwo-paragraph proofAB = BCgivenAB a BCdef. of a segs.Bis the midpoint of ACdet of midpt An increase in the demand for movies also increases the salaries of actors and actresses. Is the long-run supply curve for movies likely to be horizontal or upward sloping? Explain. If an increase in the demand for movies also increases the salaries of actors and actresses, then the long-run supply curve for movies is likely to be A. upward sloping because increases in output raise input prices . B. horizontal because the input supply curve is horizontal. C. upward sloping because increases in output lower input prices. D. horizontal because returns to scale are constant . E. horizontal because the input supply curve is upward sloping . I. Give the correct form of the verb in parentheses, using Past tenses.1. When the phone (ring).., I (have).. a bath.2. You (wear) your new hat when I (meet) you yesterday.3. When it (rain). She (carry). an umbrella.4. The house (be) much smaller than he (think).. at first.5. While you (play) the piano, I (write).. a letter.6. Before you (mention). Him, I never (hear). of that author.7. My friends (sing).. when I (come). into the room.8. Rachel (decide) not to go out because it (rain)...9. When he (go) to see them last night, they (play) cards. They(say), they (play) since six oclock.10. The little girl (ask).. what (happen).. to her ice-cream.11. He (eat).. dinner when I (go).. to see him.12. Last night Lyria (listen). to the radio when she (hear)... a strange noisedownstairs. Read the scales of this balance.The unknown sample has a mass of:11.2 g01.012 kg1.220 gO 1.200 g What is the area of a circle with a diameter of 20 inches if [tex]\pi[/tex]=3.1415 Help with This question please Help please please help me please which of the following antidiarrheal agents has only one mild side effects such as gas or bloating ravi as well as his friend____present now. ( is, are, were) 1. A. My brother is responsible to taking the rubbish our while my sister cleans the floor.B. My brother is responsible for taking the rubbish our while my sister cleans the floor.C. My brother is responsible of taking the rubbish our while my sister cleans the floor.D. My brother is responsible with taking the rubbish our while my sister cleans the floor.2. A. Why didnt you make your bed this morning?B. Why didnt you makes your bed this morning?C. Why didnt you making your bed this morning?D. Why didnt you made your bed this morning?3. A. Japanese husbands often takes responsibility for family financial.B. Japanese husbands often taking responsibility for family finance.C. Japanese husbands often takes responsibility for family finance.D. Japanese husbands often take responsibility for family finance.4. A. Take care of children is the most important role of my mother.B. Taking care of children is the most importance role of my mother.C. Taking care of children is the most important role of my mother.D. Taking care of children is the most important role with my mother.5. A. Family life in the United States is changing.B. Family living in the United States is changing.C. Family lifes in the United States is changing.D. Family lives in the United States is changing.6. A. In an traditional family, the husband often earns the money for the family.B. In a traditional family, the husband often earns a money for the family.C. In a traditional family, the husband often earns the money for the family.D. In a traditionally family, the husband often earns the money for the family.7. A. Many family solve the problem of housework by sharing it.B. Many families solves the problem of housework by sharing it.C. Many families solve the problem of housework by sharing it.D. Many families solve the problem of housework by share it.8. A. They do not want to spending the evening cooking dinner and cleaning up.B. They do not want to spend the evening cooking dinner and cleaning up.C. They do not want to spend the evening cook dinner and cleaning up.D. They do not want spend the evening cooking dinner and cleaning up.9. A. His father didnt do housework very often because he was too busy.B. His father didnt do houseworks very often because he was too busy.C. His father didnt do housework very often because he is too busy.D. His father didnt do housework very often because him was too busy.10.A. Whom is going to take care of the children in your family?B. What is going to take care of the children in your family?C. Which is going to take care of the children in your family?D. Who is going to take care of the children in your family? Take a factor out of the square root: 48x^2 , where x0 A right cone has a slant height of 20 feet and the diameter of the base is 24 feet. Find the height of the right cone. Two stones are dropped from the edge of a 60m cliff , the second stone 1.6secon after the first . How far below the top of the cliff is the second stone when the separation between the two stone is 36m? Which of the following sequences on a DNA molecule would be complementary toGCTTATAT?A.TAGGCGCGB.COD ATCCGCGCC.KUCGAATATAD.TGCCTCTCE.None of the above rita and shyam had their lunch How do you find the volume of this pyramid with what is given? pls Read the passage.Often underestimated, colonial women were important spies during revolutionary times. Though they received little to no praise, these women spies worked quietly behind the scenes to aid the colonial cause. Some would spy on British officers who were occupying their homes. They created secret codes to communicate with one another, such as by the order they hung the laundry on the clothesline. The British later declared that the walls must have had ears.Which theme is best supported by this passage?Promises are made to be broken.Courage can be seen in unlikely people.Growth can come from failure.Life decisions can be difficult. An electronics store introduces three new types of music players to its customers. Each of the new music players are priced at $99, $79, and $59. Which psychological pricing approach is the store using to price the music players Shortly before their wedding, a man and a woman bought a tract of land, taking title in both names. They had intended to build a summer cottage there, but many years after their marriage the land was still a vacant lot. The man decided that their introverted son would have more confidence if he were a landowner; thus, the man drew up a deed conveying a one-quarter interest in the land to him. Not wanting to show favoritism, two weeks later the man drew up a deed conveying a one-quarter interest in the same land to their daughter. Who owns the land What is wrong with this model of the atom?n P+Cloud RegionA. The protons are in the wrong place.B. The neutrons are in the wrong place.C. The electrons are in the wrong place.D. The protons and neutrons are in the wrong place.