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Degger [83]
3 years ago
15

How to do equations with variables with the same coefficient on each side?

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0
Example 1:
4x + 2 = 4x + 4....subtract 4x from both sides
4x - 4x + 2 = 4x - 4x + 4...simplify
2 = 4 (incorrect)

example 2 :
4x + 2 = 4x + 2...subtract 4x from both sides
4x - 4x + 2 = 4x - 4x + 2...simplify
2 = 2 (correct)

** if the variables cancel out....and u r left with an incorrect statement (like in example 1), then ur equations will have no solution
** if the variables cancel out...and u r left with a correct statement (like in example 2), then ur equations will have infinite solutions
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Island A is 150 miles from Island B. A ship captain travels 310 miles from Island A and then finds that he is off course and 200
wolverine [178]

Answer:

156.37°

Step-by-step explanation:

We solve this above question, using Cosine rule which is given as:

Cos C = a² + b² - c²/2ab

Let the Angle be represented as: x

Cos x = 310² + 200² - 150²/2 × 310 × 200

x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]

x = 23.63°

The angle, in degrees, that he must turn through to head straight for Island B is given as:

180° - 23.63°

= 156.37°

4 0
3 years ago
Solve 2x-16 divided 4
irinina [24]
I hope this helps you



2x/4-16/4


x/2-4
4 0
3 years ago
The rate to rent a small moving van is $30 per day, plus $0.25 per mile. The Sparkling Appliance Company rented a van because it
Zigmanuir [339]
Total rental cost = $390 = 2($30/day) + ($0.25/mile)x     (x=number of miles)
                                                                                          330
Then 390 = 60 + 0.25x     =>    330 = 0.25 x    =>   x = ------------
                                                                                           0.25

x comes out to 1320 miles.
3 0
3 years ago
Describe the pattern below.What are the next two numbers? 1.64,3.28
Zigmanuir [339]

Answer:

see explanation

Step-by-step explanation:

note that 3.28 = 2 × 1.64

This could be a geometric sequence with common ratio r = 2

To obtain the next term multiply the previous term by 2

3.28 × 2 = 6.56

6.56 × 2 = 13.12

1.64, 3.28, 6.56, 13.56 ← first 4 terms in sequence


6 0
3 years ago
Finding the length of each side
Fiesta28 [93]

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

Sum the sides and equate to 54, that is

3x + 4x + 5x = 54, that is

12x = 54 ( divide both sides by 12 )

x = 4.5

Thus

AB = 3x = 3 × 4.5 = 13.5 in

BC = 4x = 4 × 4.5 = 18 in

AC = 5x = 5 × 4.5 = 22.5 in

5 0
3 years ago
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