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Annette [7]
3 years ago
11

Solve the equation.

Mathematics
2 answers:
emmainna [20.7K]3 years ago
7 0

Answer:

Solve the equation.

6(2x - 3) + 4 = 16 - (-18)

А. x = 4

B. x = 1

C. x = -1

D. x = 9/2

Step-by-step explanation:

Black_prince [1.1K]3 years ago
3 0

Answer:

x=4

Step-by-step explanation:

Apply rule -(-a)=a

6(2x-3)+4=16+18

Add the numbers: 16 + 18 = 34

6(2x-3)+4=34

Subtract 4 from both sides

6(2x=3)+4-4=34-4

Simplify

6(2x-3)=30

Divide both sides by 6

6(2x-3)/6 = 30/6

Simplify

2x-3=5

Add 3 to both sides

2x-3+3=5+3

Simplify

2x=8

Divide both sides by 2

2x/2 = 8/2

Simplify

x=4

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8) So remember the sum of all angles inside a triangle is equal to 180°. We first want to figure out the angle below the 110°.

A straight line is 180° so if we do 180 - 110 we get 70° therefore the angle below the 110° is 70°.

So we now know two angles in the triangle, 70° and 80°. Add these and we get 150°. Now we can determine the final angle (the one labelled (2x - 6)) which will be 30°.

So let’s make it into an equation:

2x - 6 = 30

Add 6 to both sides to isolate 2x:

2x = 36

Divide by 2 to get the value of x:

x = 18



10) Since the sum of all angles in a triangle is 180, and there are only 3 angles, we can determine A easily.

B = 10°
C = 160°

So to determine A:

180 - 160 - 10

Which gives us 10

Therefore A = 10°.


So the answers:

8) x = 18
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3 years ago
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6 0
3 years ago
Please help, having a hard time
rosijanka [135]

Answer:

The balcony seat costs $9,  the orchestra seat costs $9 + $6 = $15.

Step-by-step explanation:

Let x is the cost/price of one balcony seat, in dollars.

Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.

The total cost of tickets is  

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Simplify it step by step.

250x + 400x + 2400 = 8250,

650x = 8250 - 2400 = 5850  ====>  x = 5850/650 = 9.

Answer.  The balcony seat costs $9,  the orchestra seat costs $9 + $6 = $15.

Check.   9*250 + 15*400 = 8250.  Correct.

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