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3 years ago

FIND TWO NUMBERS WHOSE SUM IS 21 AND DIFFERENCE IS 1711 , 102 ,2319 ,2

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Answer:

19, 2

Step-by-step explanation:

let the 2 numbers be x and y with x > y , then

x + y = 21 → (1)

x - y = 17 → (2)

Add the 2 equations term by term to eliminate y , that is

2x = 38 ( divide both sides by 2 )

x = 19

substitute x = 19 into (1) for value of y

19 + y = 21 ( subtract 19 from both sides )

y = 2

The 2 numbers are 19 and 2

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ziro4ka [17]

Answer:

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Step-by-step explanation:

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3 years ago

What is 9 1/2 - 6 1/2?

LuckyWell [14K]

Remember to change into a top heavy fraction, so 9 1/2 - 6 1/2 = $\frac{19}{2} - \frac{13}{2}$ , so 19-3 =16; so 16/2 =8

4 0

4 years ago

Read 2 more answers

Divide 10 into two parts in such a way that when a certain one of these parts is divided by the other and the fraction is multip

finlep [7]

Answer:

The fraction is $\frac{x}{10-x}\times x$ where the numeric value of x = 6 and 10-x =4.

Step-by-step explanation:

Given:

A number 10 we have to divide it into two parts and then when one part is divided by other with multiplication of its numerator the number obtained is 9.

Lets the number in numerator be $x$

Then

The number in denominator is $10-x$

According to the question:

⇒ $\frac{x}{10-x}\times x =9$

⇒ $\frac{x^2}{10-x} =9$

⇒ $x^2=9(10-x)$

⇒ $x^2+9x-90=0$

⇒ $x^2+15x-6x-90=0$ solving by middle term splitting.

⇒ $x(x+15)-6(x+15)=0$

⇒ $(x-6)(x+15)=0$

⇒ $x=6,-15$

Discarding the negative values.

⇒ $x=6$

Check:

So the fraction is $\frac{x}{10-x} \times x =9$

then,

⇒ $\frac{6}{10-6} \times 6 =9$

⇒ $\frac{6\times 6}{4} =9$

⇒ $\frac{36}{4}=9$

⇒ $9=9$

Left terms= Right terms

The fraction is $\frac{x}{10-x}\times x$ where the number 'x' = 6 and 10-x = 4.

6 0

3 years ago

The table shows ordered pairs of the function . What is the value of y when ?

LiRa [457]

Answer:

(B) -8

Step-by-step explanation:

Given the 2-column table below:

$\left|\begin{array}{c|c}x&y\\--&--\\-3&14\\-1&10\\1&6\\4&0\\8&?\\10&-12\end{array}\right|$

Taking the pair (-3,14) and (-1,10)

$Slope, m=\dfrac{10-14}{-1-(-3)} =\dfrac{-4}{2} =-2$

Taking the pair (1,6) and (4,0)

Slope, $m=\dfrac{0-6}{4-1} =\dfrac{-6}{3} =-2$

Since the slope is constant, the table represents a linear function whose slope is -2. Therefore:

Taking the pair (8,y) and (4,0)

Slope, $m=\dfrac{0-y}{4-8} =-2$

$\dfrac{-y}{-4} =-2\\y=-2*4=-8$

Therefore, the value of ? on the y-column is -8.

3 0

4 years ago

Read 2 more answers

(-1/4) ÷ 2/3 × (-1/2)

amid [387]

Answer:

1/48

Step-by-step explanation:

hope I was helpful!!

Let me know if you need a step by step

4 0

3 years ago

FIND TWO NUMBERS WHOSE SUM IS 21 AND DIFFERENCE IS 1711 , 102 ,2319 ,2​

FIND TWO NUMBERS WHOSE SUM IS 21 AND DIFFERENCE IS 1711 , 102 ,2319 ,2