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Natasha2012 [34]
3 years ago
9

Solve for x. Show each step of the solution. Show each step when solving for x.

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

-3x(4-6x) < x+5

-12x+18x² < x+5

-13x+18x² < 5

18x²-13x-5<0.

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In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
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John is currently 6 years old.

Step-by-step explanation:

2 years ago: x years

Current time: x+2

In 6 years: x+8

EQUATION:

3(x)=x+8= 3x=x+8

(subract x from both sides)

2x=8

x=4

Therefore, John is 6 years old in current time

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Step-by-step explanation:

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2 years ago
URGENT WILL MARK BRAINLIEST <br>Show your work and solve for x and y.<br>3x + y = 8<br>2x + 4y = 12​
mars1129 [50]
  • 3x+y=8--(1)

2x+4y=12

  • x+2y=6--(2)

  • (1)×1 and (2)×3

\\ \rm\Rrightarrow 3x+y=8

\\ \rm\Rrightarrow 3x+6y=18

Subtract both

\\ \rm\Rrightarrow -5y=-10

\\ \rm\Rrightarrow y=\dfrac{-10}{-5}

\\ \rm\Rrightarrow y=2

Put the value in eq(2)

\\ \rm\Rrightarrow x+2(2)=6

\\ \rm\Rrightarrow x+4=6

\\ \rm\Rrightarrow x=6-4=2

3 0
2 years ago
Read 2 more answers
A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a
Ludmilka [50]

The quantity of each type of seats sold are as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

  • 20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

Read more:

brainly.com/question/12413726

5 0
3 years ago
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