A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the greater part = x

Smaller part = 105 - x

2*(greater part) = (3*smaller part) - 15

2*x = 3*(105 -x) - 15

Use distributive property

2x = 3*105 - 3*x - 15    

2x = 315 - 3x - 15

2x =  300 - 3x

Add 3x to both sides

2x +3x = 300

5x = 300

Divide both sides by 5

x = 300/5

x =60

Smaller part = 105 - 60  = 45

Greater part = Rs. 60

Smaller part = Rs. 45


Related Questions

What is the length of MO?

Select the best answer from the choices provided.
A.4
B.5.656
C.8
D.11.314

Answers

Answer:

D

Step-by-step explanation:

8^2+8^2=128

Square root of 128 is about 11.313

What is the area of this trapezoid? Please find the correct answer and equation.

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Answer:

Step-by-step explanation:

Someone help pleasee

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Answer:

a: 7000

Step-by-step explanation:

5 year = 10, 6 months

700 x 10 = 7000

1/6d+2/3=1/4=(d−2) what does d=

Answers

Answer:

1

6

d

+

2

3

=

1

4

(

d

2

)

Combine

1

6

and

d

.

d

6

+

2

3

=

1

4

(

d

2

)

Simplify

1

4

(

d

2

)

.

Tap for more steps...

d

6

+

2

3

=

d

4

1

2

Move all terms containing

d

to the left side of the equation.

Tap for more steps...

d

12

+

2

3

=

1

2

Move all terms not containing

d

to the right side of the equation.

Tap for more steps...

d

12

=

7

6

Multiply both sides of the equation by

12

.

12

(

d

12

)

=

12

(

7

6

)

Simplify both sides of the equation.

Tap for more steps...

d

=

14

Jerimiah records lap times at the track meet on Saturday. He records a time of 85 seconds for Jennifer's lap, but she really completed the lap in 84.25 seconds.

What is the approximate percentage of error in Jerimiah's measure?

Answers

Answer:

I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.

h(x)=x^2-x-1; h(2a+7)​

Answers

Answer:

2

Step-by-step explanation:

By how much does x power 2 - ax +5 exceeed 3x power 2 -5x=6 I hope this helps :)

Plessse help, thanks
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 9t3 + 24t2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?

5 months
3 months
2 months
1 month

Answers

Replace t with the months given as choices to see which one gives a positive value as an answer.

P(1) = 1^4-9(1)^3 + 24(1)^2-20(1) = -4

P(2) = 2^4-9(2)^3+24(2)^2-20(2) = 0

P(3) = 3^4 -9(3)^3+24(3)^2-20(3) = -6

P(5) = 5^4-9(5)^3+24(5)^2-20(5) = 0

P(6) = 6^4-9(6)^3+24(6)^2-20(6) = 96

It shows a profit in month 6 so it would start showing a profit in month 5.

The answer is 5 months

C=(3x-5)^2-36x^2
tìm x

Answers

Answer:

C = -27x^2 - 30x + 25

Step-by-step explanation:

C = (3x - 5)^2 - 36x^2

~Use FOIL

C = 9x^2 -30x + 25 - 26x^2

~Simplify

C = -27x^2 - 30x + 25

Best of Luck!

Math geometry (10 points)

Answers

It’s going to be c because I said so just trust me

Where is the error in the solution below? Explain what the error is and solve the equation correctly. Be sure to check your answer.

Answers

Answer:

The error in the question is that in the second line, both sides are not multiplied by x. This causes an imbalance in the equation.

Step-by-step explanation:

[tex]\frac{5}{x}= x-4[/tex]

Multiply both sides by x.

[tex]x(\frac{5}{x}) = x(x-4)[/tex]

[tex]5= x^{2} -4x[/tex]

Subtract 5 from the equations.

[tex]x^{2} -4x-5=0[/tex]

Factorise the equation (Quadratics)

[tex](x-5)(x+1)=0[/tex]

Null Factor Law

[tex]x=5[/tex] or [tex]x=-1[/tex]

The error in the solution is in the step where we multiplied both sides of the equation by x. The error in the question is that in the second line, both sides are not multiplied by x. The correct solutions for the equation 5/x = x - 4 are x = 5 and x = -1.

Here, we have to go through the equation and correct it:

Starting equation: 5/x = x - 4

Multiply both sides by x:

x * (5/x) = x * (x - 4)

[tex]5 = x^2 - 4x[/tex]

Move all terms to one side to set up a quadratic equation:

[tex]x^2 - 4x - 5 = 0[/tex]

Now, we have a quadratic equation that needs to be solved.

We can solve this quadratic equation using factoring, completing the square, or the quadratic formula.

In this case, let's use factoring:

(x - 5)(x + 1) = 0

This gives you two possible solutions:

x - 5 = 0 --> x = 5

x + 1 = 0 --> x = -1

So, the correct solutions for the equation 5/x = x - 4 are x = 5 and x = -1. The error in your solution was in the step where you multiplied by x; you didn't distribute x properly to both terms on the right side of the equation.

This causes an imbalance in the equation.

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Select all the expressions that are equivalent to 3^2 · 3 ^(-6)

Answers

Answer:

[tex] {3}^{2} \times {3}^{ - 6} \\ = {3}^{2 + ( - 6)} \\ = {3}^{2 - 6} \\ = {3}^{ - 4} [/tex]

(PLEASE HELP) Substitution and Evaluation, Complete the students work by dragging the numbers to the empty spaces

Answers

Answer:

boxes count from top to bottom

Find the sum of 8a –2b + 3c and –3a +4b –3c

Answers

ANSWER:
5a+2b

add the like terms together

Answer: 5a + 2b

Step-by-step explanation:

Given

(8a - 2b + 3c) + (-3a + 4b - 3c)

Expand parentheses

=8a - 2b + 3c - 3a + 4b - 3c

Put like terms together

=(8a - 3a) + (4b - 2b) + (3c - 3c)

Combine like terms

=5a + 2b + 0

=[tex]\boxed{5a+2b}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6

Answers

Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:

The number of triangles that can be formed by an n-sided shape is n - 2.

Given that:

[tex]n \to[/tex] number of sides

From the attached figures, we have the following observation.

3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 triangles

If this pattern continues, the number of triangles for an n-sided shape will be: n - 2

Hence, the conjecture is:

The number of triangles that can be formed by an n-sided shape is n - 2.

Read more about conjectures at:

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Multiply the numbers. Round the answers to the nearest cent.
21. $4.50 X 30.25
22. $8.30 X 3.25
23. $14.50 X 32.5

Answers

Answer:

[tex]21. \: 136.1[/tex]

[tex]22. \: 27.0[/tex]

[tex]23. \: 471.3[/tex]

Remember to add "$" before the number.

A $40.00 shirt is on sale for 35% off. How much will I save?

Answers

Answer:

You will save $14.00

Step-by-step explanation:

If the shirt is 35% off, it means that you will effectively save 35% of the price. 35% of the price in this case is 35% of 40, which is $14.00

guys PLEASE help my brain is trying to fall asleep on me rn and its due

Answers

Step-by-step explanation:

perimeter=a+b+c

p=10.5+15+(-5(x+11))

p=25.5-5x-55

p,=-5x-29.5

Please help me I’m struggling!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)

Answers

Answer:

Points lie on the same line if and only if the points are collinear

Step-by-step explanation:

What is the value of R? (Assume R > 0)
R/4=36/R
A)8
B)9
C)12
D) 20

Answers

The Answer Should Be D

The value of R is 12.

What are square roots?

A value that yields the original number when multiplied by itself is known as the square root of a number. The square root is a backwards technique for figuring out a number. Thus, squares and square roots are connected ideas.

Given R/4 = 36/R

multiply both sides by R

R/4 x R = 36/R x R

R²/4  =  36

multiply both sides by 4

R²/4 x 4 =  36 x 4

R² = 144

so R = √144

R = 12

Hence R = 12 for given condition.

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If (x,2) is a solution to the equation -2x+4y=-8, what is the value of x

Answers

Answer:

x=8

Step-by-step explanation:

-2x+4y=-8

Let y = 2

-2x+4*2=-8

-2x+8=-8

Subtract 8 from each side

-2x+8-8=-8-8

-2x=-16

Divide by -2

-2x/-2 = -16/-2

x = 8

y=2
-2x+4×2=-8
-2x+8=-8
-2x=-8-8
-2x=-16
x=8

Hope my answer helped u :)

Simplify: 2(a-4)+15=13

Answers

Answer:

a = 3

Step-by-step explanation:

2(a−4)+15=132

a−8+15=132

a=13−15+82

a=6

a=6/2

a=3

X-2y-2=0 in slope-intercept form

Answers

Answer:

y = x/2 - 1

Step-by-step explanation:

Just throw everything to the right till only y is on the left side

X-2y-2=0

- 2y =-x+2

2y = x - 2

y = x/2 - 1

I need help with 13

Answers

9514 1404 393

Answer:

  g(x) = (x -3)² -6

Step-by-step explanation:

You know that a function f(x) is translated h units to the right when x is replaced by x-h.

  g(x) = f(x-h) . . . . . translated h units right

You also know that a function f(x) is translated k units up when k is added to the function value.

  g(x) = f(x) +k . . . . . translated k units up

__

Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...

  g(x) = f(x -3) -6

Using the given definition of f(x), this becomes ...

  g(x) = (x -3)² -6

Order 0.5, -1/7, -0.2, and 1/3 from least to greatest.

Answers

Hey there! I'm happy to help!

Let's convert the decimals to fraction form.

0.5=5/10=1/2

-1/7

-0.2= -2/10= -1/5

1/3

We know that the bigger the number in the denominator, the smaller the fraction is if the numerators are all the same.

First off, we have the negative numbers which are smaller than the other numbers. We have -1/7 and -1/5. We know that the 1/5 is a bigger fraction, but it is negatively bigger, so that is going to be the lesser number.

-1/5, -1/7

And with our bigger ones, we have 1/3 and 1/2. 1/2 is the bigger number here, so that will be the last one. Let's also be sure to convert back to our original forms! Here is our order :

-0.2, -1/7, 1/3, 0.5

Have a wonderful day and keep on learning! :D

Given g(x) = -1 – 4, solve for a when g(x) = -4.

Answers

Answer:

a = 0

Step-by-step explanation:

given:

[tex]g(x) = -1x - 4[/tex]

solve for a, when:

[tex]g(x) = -4[/tex]

replace x with -4

~~~~~~~~~~~~

➡️ [tex] a = -1(-4) - 4 [/tex]

➡️ [tex] a = 4 - 4[/tex]

➡️ [tex] a = 0 [/tex]

Karabo is training by running for the Comrades Marathon ; he starts his training by running 40km per week . Each week he increases the distance covered by 10km.

(a) Write down the formula to calculate the distance he runs in the n-th week .

(b) Use the formula to calculate the distance he runs in the 12 week of training.​

Answers

Answer:

a) 40 + 10d where is the distance

b) 160 km

Step-by-step explanation:

→ Substitute 12 into the formula

40 + ( 10 × 12 ) = 160

I need help please!!

Answers

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

find the area of the shades figure

Answers

Answer:

14,142.858

Step-by-step explanation:

IT
17) Between which two consecutive whole numbers does the length of the diagonal
fall? The length of the diagonal is between
a) 3 and 4 b) 4 and 5
c) 5 and 6 d) 6 and 7
V 18

D
Ос
Od

Answers

Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

g=A/4


fous on a please

Answers

G = A/4

Solve for A by multiplying both sides by 4:

A = 4G

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