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nignag [31]
3 years ago
9

Divide Rs.300 between A and B in the ratio2:3

Mathematics
1 answer:
kherson [118]3 years ago
3 0

The value of 300 is divided into 120 and 180 in the ratio of 2:3.

<u>Step-by-step explanation</u>:

  • The total value is 300.
  • This total of 300 should be divide in the ratio of 2:3.

Let us assume that the common factor be x in the ratio.

  • The value of the part A is 2x.
  • The value of the part B is 3x.

It is known that, 2x + 3x = 300

⇒ 5x = 300

⇒ x = 300/5

⇒ x =60.

<u>To find the values of A and B :</u>

A= 2x

⇒ 2(60)

⇒ 120

B= 3x

⇒ 3(60)

⇒ 180

The value of 300 is divided into 120 and 180 in the ratio of 2:3.

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Solve the system
Helga [31]
The answer is actually choice A

---------------------------------------------------------
---------------------------------------------------------

If we add up the equations straight down we will have 0a+2b = 6

Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away

The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6

To isolate b, we divide both sides by 2

2b = 6
2b/2 = 6/2
b = 3

We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'

Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'

3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1

So a = -1 and b = 3 pair up to form (a,b) = (-1,3)

--------------------------------------

To check, plug this ordered pair back into both equations

Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out

Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
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this is true as well

So this confirms that the final answer is choice A
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A powerful computer is purchased for $2000, but loses 20% of its value each year. How much will it be worth 4 years from now?
Jet001 [13]

Answer:

(A)Decay

(b)0.8

(c)First Term

(d)f(t)=2000(0.8)^t

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Step-by-step explanation:

The exponential function for modelling growth or decay is given as:

A(t)=A_o(1\pm r)^t,

Where:

Plus indicates growth and minus indicates decay.

A_o$ is the Initial Value\\r is the growth/decay rate\\t is the time period

For a powerful computer that was purchased for $2000, but loses 20% of its value each year.

(a)Since it loses value, it is a decay.

(b)Multiplier

Its value decays by 20%.

Therefore, our multiplier(1-r) =(1-20&)=1-0.2

Multiplier =0.8

(c)$2000 is our First term (or Initial Value A_o)

(d)The function for this problem is therefore:

f(t)=f_o(1- r)^t\\f(t)=2000(1- 0.2)^t\\\\f(t)=2000(0.8)^t

(e)Since we require the worth of the computer after 4 years,

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Divide 6.1 and 51.24
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Answer:

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