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zvonat [6]
3 years ago
7

the sum of two numbers is zero. when 15 times the smaller numbers is added to 10 times the larger, the result is 1. find the two

numbers.
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

We have two numbers say a, b. And a system of equations.

a+b=0\wedge\dfrac{a+b}{15}+10(a+b)=1

It looks a bit intimidating but it's actually very easy.

Instead of term a + b in the second equation we can say it's zero because the first equation describes a + b as being equal to 0.

So,

\dfrac{0}{15}+10\cdot0=1\Longrightarrow 0+0=1

The above equation is not true therefore numbers a and b do not exists in the real number domain.

a,b\notin\mathbb{R}

No solution.

Hope this helps.

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Igualacion. <br><br>x-y=3. 2x-3y=4​
Delicious77 [7]

Answer:

x - y = 3

2x - 3y = 4

Igualación

Despejamos una de las incógnitas en cada ecuación e igualamos. (En este caso la x)

3y + 4

x = y + 3 x = ---------------

2

3y + 4

y + 3 = ---------------

2

2 (y + 3 ) = 3y + 4

2y + 6 = 3y + 4

se pasan las incógnitas a un lado y lo que cambia de lado se cambia de signo

3y - 2y = 6 - 4 ⇒ y = 2

sustituimos el valor de y en cualquiera de las dos para obtener el valor de x

x - 2 = 3 ⇒ x = 5

Solución

x = 5

y =2

4 0
3 years ago
6c + 14 = -5c + 4 + 9c c=
agasfer [191]
First combine like terms
6c + 14 = 4c + 4, then subtract 4c from both sides
2c + 14 = 4, then subtract 14 from both sides
2c = -10, then divide both sides by 2

C = -5
8 0
3 years ago
Read 2 more answers
Insert parentheses where needed so that the result of the expression is 2.<br> 45-25 ÷2x2+2
agasfer [191]

Answer:

(45 - 25) / 2 × (2 + 3)

Step-by-step explanation:

Given:

45 - 25/2 × 2 + 3

By trials:

(45 - 25) / (2 × 2) + 3

= 20/4 + 3

= 20/7

Another trial:

(45 - 25)/2 × (2 + 3)

= 20/2 × 5

= 20/10

= 2

The parentheses should be inserted like this

(45 - 25) / 2 × (2 + 3)

3 0
3 years ago
A teacher buys packs of notebooks to give to his students. The ratio of gold notebooks to red notebooks is represented in the ta
Ber [7]

Answer:

40 gold notebooks

Step-by-step explanation:

5:3 gold notebooks to red notebooks so using this we can set up a proportion

5 x

-- = ---

3 24

cross multiplying

3x = 120

x= 40

so there are 40 gold notebooks if there are 24 red notebooks

3 0
3 years ago
Read 2 more answers
Look at the sequence in the table. Which recursive formula represents the sequence shown? <br><br>A
satela [25.4K]

Answer:

B) a_n=2a_{n-1}+1

Step-by-step explanation:

To find this recursive formula, we need to look at the relationship between each term in the sequence.

When looking at n=1 and n=2, we can see that we have 5 and 11.

We have to find a pattern between each term in the sequence. If we double 5, which is the previous term, and add 1, we get 11.

Lets see if this works for the next term, 23

First, lets double 11 = 22

Now add 22+1=23. We got the right term. Lets test it again

23*2=46

46+1=47

And now the last term

47*2=94

96+1=95

As you can see doubling the previous term and adding 1 works for all of these terms.

when written as a recursive formula, it would be a_n=2a_{n-1}+1, which is B

7 0
4 years ago
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