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denis23 [38]
2 years ago
6

What is the solution 3(2x-6)+4=8x-2(x+1)

Mathematics
1 answer:
ololo11 [35]2 years ago
6 0

Answer:

Step-by-step explanation:

3(2x-6)+4=8x-2(x+1)

We move all terms to the left:

3(2x-6)+4-(8x-2(x+1))=0

We multiply parentheses

6x-(8x-2(x+1))-18+4=0

We calculate terms in parentheses: -(8x-2(x+1)), so:

8x-2(x+1)

We multiply parentheses

8x-2x-2

We add all the numbers together, and all the variables

6x-2

Back to the equation:

-(6x-2)

We add all the numbers together, and all the variables

6x-(6x-2)-14=0

We get rid of parentheses

6x-6x+2-14=0

We add all the numbers together, and all the variables

-12!=0

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What is the factored form of x12 y 18 +1?
Nitella [24]

Answer:

The required factored form of the given expression is

(x^4 y^6+1)(x^8 y^12-x^4 y^6+1) as the factored form.

5 0
3 years ago
Beaker A contains 1 liter which is 15 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which
Tanzania [10]

Answer:

Add 1.25 litres of oil.

Step-by-step explanation:

Contents in beaker A implies;

15% of oil in 1 litre = 0.15 litres of oil

So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.

Contents in beaker B implies:

55% of oil in 2 litres = 1.1 litres of oil

So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.

Half of contents of B poured into A implies that beaker A now contains:

0.15 litres + 0.55 litres = 0.7 litres of oil

0.85 litres + 0.45 litres = 1.3 litres of vinegar

The percentage of oil in A now = \frac{0.7}{2} x 100%

                                                    = 35%

To increase the percentage of oil to 60%, then:

0.7 litres + 1.25 litres = 1.95 litres of oil

But the new total litres of the content in beaker A = 3.25 litres

So that;

\frac{1.95}{3.25} x 100% = 60%

Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.

7 0
3 years ago
Is 40 inch or 100 cm bigger
oksian1 [2.3K]

Answer:

40 inch

Step-by-step explanation:

1 inch=2.54cm

so 40 inch= 101.6 cm

7 0
3 years ago
Read 2 more answers
The school that Joe goes to is selling tickets to a choral performance. On血e first day of ticket
ArbitrLikvidat [17]

Answer:

The price of one senior citizen ticket is $8, and the price of one child ticket is $11.

Step-by-step explanation:

You are looking for two things: the price of a senior citizen ticket and the price of a child ticket.

We need to write two equations using two variables.

Let s = price of 1 senior citizen ticket.

Let c = price of 1 child ticket.

First day of ticket sales:

6 senior citizen tickets, 8 child tickets, total sales of $136

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 8 tickets cost 8c.

The total sales is 6s + 8c.

The total sales is $136, so our first equation is

6s + 8c = 136

Now we do the same for the second day of ticket sales.

6 senior citizen tickets, 9 child tickets, total sales of $147.

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 9 tickets cost 9c.

The total sales is 6s + 9c.

The total sales is $147, so our second equation is

6s + 9c = 147

The system of equations is

6s + 8c = 136

6s + 9c = 147

Multiply both sides of the first equation by -1. Write the second equation below it. Then add the equations.

       -6s - 8c = -136

(+)     6s + 9c = 147

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

                  c =   11

c = 11, so the cost of a child ticket is $11.

Now substitute 11 for c in the first equation, and solve for s.

6s + 8c = 136

6s + 8(11) = 136

6s + 88 = 136

6s = 48

s = 8

The price of a senior citizen ticket is $8.

The price of a senior citizen ticket is $8, and the price of a child ticket is $11.

6 0
3 years ago
Each side of a square is increasing at a rate of 6cm/s. At what rate is the area of the square increasing when the area of the s
diamong [38]
Area of a square = length²
A = x²
16 = x²; x = 4
dA/dx = 2x cm²/s
dx/dt = 6 cm/s
Using chain rule:
dA/dt = dA/dx * dx/dt
dA/dt = 2x * 6
dA/dt = 12x
At x = 4,
dA/dt = 12(4) = 48 cm²/s
7 0
3 years ago
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