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stira [4]
3 years ago
6

Solve the system by elimination -6x + 6y = 0 9x - 8y = 4

Mathematics
1 answer:
Art [367]3 years ago
4 0

Answer:

x=4, y=4

Step-by-step explanation:

X=(4+8y)/9

-6×(4+8y)/9 +6y=0

-2×(4+8y)/3+ 6y=0

-2×(4+8y) + 18y =0

-8-16y+18y=0

2y=8

y=4

-6x+6×4=0

-6x=-24

x=4

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a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages
Roman55 [17]

Answer:

son's present age = 30

father's present age=60

Step-by-step explanation:

his son's present age = x years

his father's present age = 2x years

before 20 years his son's age=(x-20) years

before 20 years father's age=(2x-20) years4(x-20)=(2x-20)

4x-80=2x-20

4x-2x=80-20

2x=60

x=30

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2 years ago
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Answer:

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3 0
3 years ago
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Maria, Carolina and Pedro receives $1600 from their grandfather in ratio 7:5:4. calculate share of each.
Nimfa-mama [501]

Step-by-step explanation:

<em>here's</em><em> your</em><em> solution</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>total</em><em> </em><em>money </em><em>received</em><em> </em><em>by </em><em>them </em><em>=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>the </em><em>given </em><em>ratio </em><em>are </em><em> </em><em>7</em><em>:</em><em>5</em><em>:</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>let </em><em>the </em><em>ratio </em><em>be </em><em>X </em><em>,</em><em>now</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Maria </em><em>=</em><em> </em><em>7</em><em>X</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Carolina</em><em> </em><em>=</em><em> </em><em>5</em><em>X</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Pedro </em><em>=</em><em> </em><em>4</em><em>X</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>w</em><em>e </em><em>know </em><em>whole </em><em>money </em><em>=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>so,</em><em> </em><em>adding</em><em> </em><em>all </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em>. </em><em>7</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>4</em><em>x</em><em> </em><em>=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>1</em><em>6</em><em>x</em><em> </em><em>=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em> </em><em>x=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em><em>/</em><em>1</em><em>6</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em>. </em><em>x </em><em>=</em><em> </em><em>$</em><em>1</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>now </em><em>Maria</em><em> </em><em>=</em><em> </em><em>7</em><em>*</em><em>1</em><em>0</em><em>0</em><em> </em><em>=</em><em> </em><em>$</em><em>7</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>Carolina</em><em> </em><em>=</em><em> </em><em>5</em><em>*</em><em>1</em><em>0</em><em>0</em><em> </em><em>=</em><em> </em><em>$</em><em>5</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>Pedro</em><em> </em><em>=</em><em> </em><em>4</em><em>*</em><em>1</em><em>0</em><em>0</em><em> </em><em>=</em><em> </em><em>$</em><em>4</em><em>0</em><em>0</em>

<em> </em><em> </em><em> </em><em>hope it</em><em> helps</em>

8 0
3 years ago
Find the domain for each expression. (1/x)+5<br> 1/x<br> X+5/x+5<br> X^2/x<br> 7/(x-2)
wel

Using it's concept, it is found that the domain for the expressions is, respectively, given by:

x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2

<h3>What is the domain of a function?</h3>

It is the <u>set that contains all possible input values</u>.

In a fraction, the denominator cannot be zero, hence:

  • The domain of the first two expressions is of x \neq 0.
  • The domain of the last expression is of x \neq 2.

The third expression can be simplified, as:

(x + 5)/(x + 5) = 1.

The same is true for the fourth, as:

x²/x = 1.

Neither has any restriction, hence their domain is all real numbers, represented by (-\infty, \infty).

More can be learned about the domain of a function at brainly.com/question/25897115

6 0
2 years ago
Suppose you just purchased a digital music player and have put 9 tracks on it. After listening to them you decide that you like
ioda

a) consider the first song played . The probability of its being liked is 4/9.

And for second song, we have 3 liked songs and 8 remaining songs.

Hence probability of second being liked is 3/8.

Overall probability = (4/9)*(3/8) = 1/6 = 0.167 hence it is almost unusual.

b) First song being not liked is 5/9.

And for second song being not liked is 4/8.

Hence overall probability = (5/9)*(4/8) = 5/18.

c) To like exactly one of them, it has 2 possibilities. First song may be liked and second song disliked = (4/9)*(5/8) = (5/18)

First song may be disliked and second song liked = (5/9)*(4/8) = (5/18)

Hence overall probability = (5/18)+(5/18) = 5/9

d)  a)Probability of 2 songs liked by me with replacement means in both cases i have to select a song from 4 liked songs.

Hence probability = (4/9)*(4/9) = 16/81

b) probability of both being not liked by me is = (5/9)*(5/9) = (25/81)

c) probability of exactly one being liked = (4/9)*(5/9)+(5/9)*(4/9) = 40/81

8 0
3 years ago
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