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3 years ago

ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages

Mathematics

1 answer:

NeX [460]3 years ago

8 0

x - Ram's age now

Ram is half his father's age now, so his father's age is two times Ram's age:

2x - Ram's father age now

x - 10 - Ram's age ten years ago

2x - 10 - Ram's father age ten years ago

ten years ago he was one third his father's age so his father's age was three times Ram's age:

2x - 10 = 3•(x - 10)

2x - 10 = 3x - 30

-10 + 30 = 3x - 2x

20 = x

2x = 2•20 = 40

Answer:

<u>Ram is 20 years old now, Ram's father is 40 years old now.</u>

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Carol is ordering t-shirts for her club and there are two different patterns to choose from. The first shirt is green and blue s

noname [10]

Answer:

14 Striped and 10 Flowered

Step-by-step explanation:

This can best be determined using a set of linear equations that are solved simultaneously.

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation

Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,

g + h = 24 and

15g + 13h = 340

g = 24 - h

15(24 - h) + 13h = 340

360 - 15h + 13h = 340

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3 years ago

On a certain exam, Tony corrected 20 papers and found the mean for his group to be 70. Alice corrected the remaining 10 papers

son4ous [18]

Answer:

The mean of the combined group is 76.67 ≈ 77

Step-by-step explanation:

The sum of the grades in Tom's group is 20×70 = 1400
The sum of grades in Alice's group is 10×90=900
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where

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3 years ago

$2000 was borrowed for 4 years with an interest rate of 3% compounded annually. What is the total amount owed at the end of the

kompoz [17]

Answer:

$\$2,251.02$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the total amount owed

P is the amount of money borrowed

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=4\ years\\ P=\$2,000\\ r=3\%=3/100=0.03\\n=1$

substitute in the formula above

$A=2,000*(1+\frac{0.03}{1})^{1*4}$

$A=2,000*(1.03)^{4}$

$A=\$2,251.02$

4 0

3 years ago

Read 2 more answers

Which of the following is the complete factorization of 3x2-6x-240?

AURORKA [14]

1. Reduce <span>3x2-6x-240 to x^2 - 2x - 80

2. Use " ^ " to indicate exponentiation

3. Factor </span>x^2 - 2x - 80 using completing the square:

x^2 - 2x + 1^2 - 1^2 - 80

(x+1)^2 - 1 - 80
(x+1)^2 - 81
(x+1)^2 - 9^2 = (x+1-9)(x+1 +9), or (x-8)(x+10)

Final answer, with all factors shown: 3(x-8)(x+10)

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3 years ago

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Arturiano [62]

$D=b^2-4ac\\D=4^2-4(4)(1)\\D=16-16\\D=0$