When Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal. When Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi. Find their original sum ofmoney.​

Answers

Answer 1

Answer:

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = Rs. 150

Step-by-step explanation:

Let money with gopal be x

let money with laxmi be y

Given

Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal

Money left with gopal after giving Rs 10 = x-10

money with Laxmi after getting rs 10 = y+10

according to given condition

money with laxmi = 2*money left with Gopal

y+10 = 2(x-10)

___________________________________________________

Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi.

Money left with Laxmi after giving Rs 10 = y-10

money with Gopal after getting rs 10 = x+10

according to given condition

money with laxmi -10 =money  with Gopal

y-10-10 =x+10

y-20 = x+10

=> y = x+10+20

y = x+30

substituting y = x+30 in    y+10 = 2(x-10)

x+30 +10 = 2(x-10)

x+40 = 2x-20

=>40+20 = 2x-x

=> x = 60

y = x+30 = 60+30 = 90

Thus,

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = 60+90 = rs. 150


Related Questions

Prove the identity
[tex] \frac{1 + \cos(x) + \cos(2x) }{ \sin(x) + \sin(2x) } = \cot(x) [/tex]

Answers

HOPE IT HELPS !!!

Brainliest please

What information do you need to complete a translation?

Answers

Answer:

1. The coordinates of the image you want to transform

2. The change in y

3. The change in x

Step-by-step explanation:

If we transform an image, we are moving it around the coordinate plane.

In order to transform, we need the original coordinates of the image so that we know where to start.

We also need to know the change in y because when we transform a shape it can go up and down.

We also need to know the change in x because when we transform a shape it can go left and right.

Hope this helped!

For the function f ( x ) = − 2 x + 3 , evaluate and simplify the difference quotient.

Answers

Answer:

fraction x-3/2 is your answer for Sure

Step-by-step explanation:

y=-2x+3

x=2y+3

x-3=2y

x-3/2=y

Hank and Lynn are both paying off car loans. • Hank paid $2,000 upfront when he bought his car, and he pays $200 each month. • Lynn did not pay any money upfront when she bought her car, and she pays $275 each month. Is the relationship between the number of months and the total amount paid proportionally for both Hank's and Lynn's loans?

Answers

Answer:

the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.

Step-by-step explanation:

The relationship between the number of months and the total cost paid proportionally is shown below:-

Both Hank and Lynn pay off car loans.

When Hank bought his car, he paid $2,000 in advance, and he needs to pay $200 each month.

Thus, forward to x months the total cost paid (C(h)) is

C(h) = 2000 + 200x ... (i)

So, that relationship is proportional, but not proportional directly.

When Lynn purchased her vehicle, she didn't pay any cash immediately front and she needs to pay $275 every month.

So, after x months the total amount paid (C(l)) is

C(l) = 275x ..... (ii)

This is, therefore, a direct proportionality that is also proportional.

Furthermore the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.

Answer: The relationship between the number of months and the total amount paid for both Hank and Lynn's loans is proportional.

Step-by-step explanation:

What are the major arcs of o0 that contain point B?

Answers

Answer:

Option (C)

Step-by-step explanation:

By the definition of a major arc - any arc of a circle which measures more than 180°  is the major arc.

In the given circle, AC and BD are the two chords.

And arcs measuring more than 180° are,

[tex](\widehat{BCA}, \widehat{CDB}, \widehat{ABD},\widehat{DAC},\widehat{DBC},\widehat{ACD})[/tex]

Therefore, the arcs given in Option (C) will be the major arcs of the circle O.

Option (C) will be the correct option.

You went to the school store and bought a soda for $2.00 and a candy bar for $1.25. How much was your total?

Answers

Answer:

$3.25

Step-by-step explanation:

Answer:

3.25

Step-by-step explanation:

Two people share $52.20 in the ratio 4:5. How much does each person receive?

Answers

ill take the 52.20 aint no splitting

Answer:

$23.20 and $29

Step-by-step explanation:

We can set up a simple equation to solve this problem.

4x + 5x = 52.2

9x = 52.2

x = 5.8

To find out how much each person received, we multiply 5.8 with the ratio numbers 4 and 5. That gives us $23.20 and $29, respectively.

If you would like more help in math or other subjects for FREE, check out growthinyouth.org.

Trigonometry help? Please answer 4.5,6 for me if u can! Tysm

Answers

Answer:

4) d = 60; e = 90

5) f = 30

6) h = 120

Step-by-step explanation:

4)

d + d + d = 180

3d = 180

d = 60

e + e + e + e = 360

4e = 360

e = 90

5)

70 + (180 - 100) + f = 180

70 + 80 + f = 180

f = 30

6)

45 + 75 + (180 - h) = 180

300 - h = 180

-h = -120

h = 120

select all the are equal to 6^4(6^-5)

a. 1\6^-1
b. 1/6
c. 6^-1
d. 1/6^1
e. 1/-6

Answers

Answer:

b. 1/6

c. 6^-1

d. 1/6^1

Step-by-step explanation:

Calculation:

6^4(6^-5) = 6^(4-5) = 6^-1 = 1/6

Correct options:

b. 1/6c. 6^-1d. 1/6^1

please answer this question​

Answers

Answer:

(a+2)/(a-1)

Step-by-step explanation:

[(a^2+5a+6)/(a^2-1)]/[(a^2-9)(a^2-2a-3)]

[(a^2+5a+6)/(a^2-1)]*[(a^2-2a-3)(a^2-9)]

[(a^2+3a+2a+6)/(a-1)(a+1)]*[(a^2-3a+a-3)/(a-3)(a+3)]

[a(a+3)+2(a+3)/(a-1)(a+1)]*[(a(a-3)+1(a-3)/(a-3)(a+3)]

[(a+2)(a+3)/(a-1)(a+1)]*[(a+1)(a-3)/(a-3)(a+3)]

=(a+2)/(a-1)

soup ordinarily priced at 2 cans for 33 cents may be purchased in lots of one dozen for 1.74.What is the savings per can when it s purchased this way?

Answers

Answer:

2 cents per can

Step-by-step explanation:

The price per can when you buy two cans is:

0.33/2 = $0.165, or 16.5 cents per can

When purchased in a lot of one dozen, the price per can is:

1.74/12 = $0.145, or 14.5 cents per can

So the savings per can when you buy a dozen is:

0.165 - 0.145 = $0.02, or 2 cents per can

Answer:

You save 2 cents per can. $0.02

Step-by-step explanation:

Since one dozen = 12, you need to figure out what 12 can would regularly cost. So multiply the 33 cents by 6 (since 2 x 6 =12).

33 x 6 = 198

Add the decimal and it's $1.98. now subtract $1.74 from $1.98.

1.98 - 1.74 = 0.24

This is the saving for 12 cans, but you want the savings for one can. So you would divide 0.24 by 12.

0.24/12 = 0.02

So you save 2 cents per can.

4•(-7) I need help on these with work including plz thx

12 + (-3)

-3(-4)

Answers

Answer:

2

Step-by-step explanation

12-3 = 9

-3-4= - 7

question  12+(-3) - 3- 4

9 - 7 = 2

4*(-7)

28

12 + (-3)

12 - 3

9

-3(-4)

3*4

12

Best of Luck!

e
Which is one piece of information that "9" gives about
an atom of fluorine?
The atomic mass is different than the atomic number,
and the number of neutrons is the difference between
the atomic mass and the atomic number.
O the atomic number
O the atomic mass
o the hiass of protons
o the number of neutrons

Answers

Answer: The information in that "9" is the atomic number of the atom.

Step-by-step explanation:

For an atom of fluorine we have:

A = atomic weight = 18.99 amu.

Z = atomic number = 9.

(A - Z) = number of netrons = 10.

Then the "9" in the information of the atom of fluorine gives information about the atomic number.

Answer:

the atomic number

Step-by-step explanation:

The number of fish (f) in a fish tank increases when the number of algae blooms (a) decreases. Write the correct equation for this scenario, and solve for the number of fish when there are 4 algae blooms. Algae Blooms Fish 10 10 25 4

Answers

Answer:

f = -2/5a +1412.4 ≈ 12 fish for 4 algae blooms

Step-by-step explanation:

The 2-point form of the equation for a line is useful when you are given two points to work with:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

The independent variable (x) is apparently "algae blooms" and is to be represented by "a". The dependent variable (y) is "number of fish" and is to be represented by "f". So, we have ...

  f = (4 -10)/(25 -10)(a -10) +10

  f = -6/15(a -10) +10

  f = -2/5a +14 . . . an equation for the scenario

Four a=4, the fish population is predicted to be ...

  f = -2/5(4) +14 = 12.4

There will be about 12 fish when there are 4 algae blooms.

What is the mode of the following numbers?
3,5,6,7,9,6,8

Answers

Answer:

The mode would be 6

Step-by-step explanation:

The mode in mathematics refers to the number that appears the most frequently in the set of data. The number six is the only number that is shown twice, making it the mode.

Is 29 prime or composite

Answers

29 is a composite number

Answer:

29 is a prime number.

Step-by-step explanation:

"When a number has more than two factors it is called a composite number. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc."

4x - y = -7
-8x + 4y = 12
Elimination

Answers

Answer:

(x,y)=(-2,-1)

Step-by-step explanation:

4x - y = -7: 8x-2y=-14

8x-2y=-14

-8x + 4y = 12

add these two:

2y=-2

y=-1

plug in the y:

-8x-4=12

-8x=16

x=-2

Which is equivalent to the expression below?
8 + 3x - 3 + 8x

Answers

Answer:

7

Step-by-step explanation:

*PLEASE ANSWER THANK YOU* A toy rocket is a composite of a cylindrical body with a cone for a nose. Find the volume of the rocket if the radius of the base is 1.25 inches, the height of the tip is 3 inches, and the height of the entire rocket is 15 inches. a.) 176.6 in3 b.) 56.3 in3 c.) 58.9 in3 d.) 63.8 in3

Answers

Answer:

Volume of toy = 63.8 in² (Approx)

Step-by-step explanation:

Given:

Height of cone (h) = 3 in

Height of cylinder (H) = 15 - 3 = 12 in

Radius (r) = 1.25

Find:

Volume of toy

Computation:

Volume of cylinder = πr²H

Volume of cylinder = (22/7)(1.25)(1.25)(12)

Volume of cylinder = 58.92 in²

Volume of cone = (1/3)πr²h

Volume of cone = (1/3)(22/7)(1.25)(1.25)(3)

Volume of cone = 4.91 in²

Volume of toy = Volume of cylinder + Volume of cone

Volume of toy = 58.92 in² + 4.91 in²

Volume of toy = 63.8 in² (Approx)

Find the arc length of AC. Express your answer in terms of pi.

Thanks for the help!​

Answers

Answer:

3 pi is the answer.

Step-by-step explanation:

Circumference = pi * d

1/12 = 30/360 = You need to find 30 degrees

Known:

D = 36

1/12 = percentage

Unknown:

Answer = ?

1/12 * pi * d

= 1/12 * pi * 36

= 1/12 * 36 * pi

= 3 pi

The answer is 3 pi.

Hope this helped,

Kavitha

Answer:

AC = 3 π

Step-by-step explanation:

given dia of a circle = 36 cm

radius r = 36 / 2 = 18

angle Ф = 30°

req'd:  Arc length of a circle AC.

                       Ф

arc length = -----------  x  2 π r

                      360

         30°

AC = --------- x 2 π (18)

         360

AC = 3 π

y= 2x + 5 what is the linear function of this?

Answers

I think it is (0,-5)

what the prime factorization on 75?

Answers

Answer:

3*5^2

Step-by-step explanation:

75 is divisible by 3

75/3 = 25

25 is not divisible by 3, but it is divisible by 5.

25 = 5^2.

25/25 = 1. We are done.

What is the equation of a vertical line passing through point (3,6)

Answers

Answer:

Brainliest!

Step-by-step explanation:

vertical lines is like

|

|

|

so its (3,6)

x=3

Answer:

its really easy the answer is (3,6)

8/7 + 7/7 = ? Help please ?

Answers

Answer:

15/7

Step-by-step explanation:

8/7 + 7/7 = 8+7 = 15

Therefore, the sum of 8/7 + 7/7 is equals to 15/7

Answer:

To add fractions, find the LCD and then combine.

Exact Form:

1 5/7

Decimal Form:

2.142857

Mixed Number Form:

2 1/7

All of the following are rational except _____. - 3.14159... 0

Answers

Answer:

All of the following are rational except 3.14159...

Step-by-step explanation:

Following are the solution to the rational except:

Given:

Please find the question:

To find:

rational except

Solution:

In this question the rational except _____. 0, - 2/5, 0.125, 3.14159...

since, the 3.14 is irrational number.

Learn more:

brainly.com/question/20996516

In Only Daughter, we can infer that her father likes her story and that means the
most to her. Which sentence from the excerpt best supports that inference?

Answers

Answer:

a."Of all the wonderful things that happened to me last year, that was the most

wonderful."

Step-by-step explanation:

Pls check is there any mistake. If yes pls inform me​

Answers

On 1a I believe it’s 5
-1

When you go down or left it’s negative and up or right is positive

Use the figure to name the following terms.
1.Name 3 collinear points.
2.What is another way to name plane V.
3.Name 3 segments.
4.Name 2 rays.
5.Name 5 liness.​

Answers

Answer:

1. Three collinear points are R, X, and Q

2. Plane V is a quadrilateral

3. The three segments are PQ, RX, and XQ

4. The two rays are Xr and QS

5. The five lines (each taken alone) are Xr, QS, PQ, RX, and XQ

Step-by-step explanation:

1. Collinear points are points that lie in or can be located on the same line

2) A quadrilateral is a four sided two-dimensional shape

3) A line segment is a line portion between two end points

4) A ray is a line with one end point that extends to infinity in a direction

5) A line is a one dimensional straight geometric figure that extends to infinity in both directions.

HELP! Determine the equation of the exponential function with a common ratio of 2, a horizontal asymptote at y = 4, and passing through the point (2, 10).

Answers

Answer:

[tex]\bold{y=1.5\times 2^x+4}[/tex]

Step-by-step explanation:

Equation for an exponential function is given as following:

[tex]y=ab^x+c[/tex]

Where b is the common ratio and  

c is the horizontal asymptote (y value)

a is the coefficient of exponential term of [tex]x[/tex]

[tex](x,y)[/tex] are the points on the function.

Here, we are given that:

Common ratio, b = 2

Horizontal asymptote at y, c = 4

So, the equation becomes (let us put the values of b and c):

[tex]y=a\times 2^x+4[/tex]

We need the value of a. Let us put value of (x,y) as (2,10).

[tex]10=a\times 2^2+4\\\Rightarrow a\times 4 =10-4 =6\\\Rightarrow a =\dfrac{6}{4} =\bold{1.5}[/tex]

So, the final equation of the exponential function is:

[tex]\bold{y=1.5\times 2^x+4}[/tex]

Simplify (3−10)^2−(5−12)^2​

Answers

Answer:

0

Step-by-step explanation:

(3−10)^2 − (5−12)^2

(3−10)^2 = 49

(5−12)^2 = 49

49 - 49 = 0

Answer: 0

Step-by-step explanation:

3-10= -7. -7^2=49

5-12=-7. -7^2=49

49-49=0

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