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natulia [17]
2 years ago
14

a sum of money is to be distributed among A B C D in the proportion of 5:2:4:3 if C gets Rs 1000 more than D what is share of B

?
Mathematics
1 answer:
Nat2105 [25]2 years ago
7 0

Answer:

Share \: of\: B =Rs.\: 2000

Step-by-step explanation:

Money proportion of A, B, C and D are 5:2:4:3.

So, let the money shares received by A, B, C and D be 5x, 2x, 4x and 3x rupees respectively.

It is given that:

C gets ₹1000 more than D

\implies Share \: of\: C = Share \: D +1000

\implies 4x  = 3x +1000

\implies 4x  - 3x =1000

\implies x=1000

\implies Share \: of\: B = 2x

\implies Share \: of\: B = 2(1000)

\implies Share \: of\: B =Rs.\: 2000

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3. Factor.
sleet_krkn [62]
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!
5 0
3 years ago
Factor the expression -10x^2-41x-21
BaLLatris [955]
-10x^2-41x-21= -(10x^2+41x+21) =-(10x^2+35x+6x+21)=\\\\=- [(10x^2+35x)+(6x+21 )]=- [5x(2x +7 )+3(2x+7 )]=-(2x+7)(5x+3)


5 0
3 years ago
Read 2 more answers
What is the reason for each step in the solution of the inequality?
Citrus2011 [14]

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: -38-3(x+5)>6x-17

We need to match each step with the reasons.

The given steps are:

1.

−38−3(x+5)>6x−17

So, Reason for step 1: Given

2.

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

3.

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

4.

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

5.

−9x>36

So, Reason for step 5: Addition property of order

6.

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/4192226

#learnwithBrainly

7 0
3 years ago
Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?
maxonik [38]

Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

y=2^x\\\ln(y)=x \ln(2)

Implicitly differentiate the left side and take the derivative of the right side

\frac{y'}{y} =\ln(2)

Multiply both sides by 'y' which was defined as 2^x

y'=\ln(2)*2^x

Plug in x = 2 and x = 3 to see which slope is larger

y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)

4 0
3 years ago
Write an equation of the line that passes through the point (2,3) with slope 3.
djyliett [7]

Answer:

<h2>y = 3x - 3</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the slope <em>m = 3</em>, and the point <em>(2, 3)</em>.

Put the value of slope and the coordinates of the given pint (x = 2, y = 3) to the equation of a line:

3=3(2)+b

3=6+b             <em>subtract 3 from both sides</em>

-3=b\to b=-3

Finally:

y=3x-3

5 0
3 years ago
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