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hoa [83]
3 years ago
13

10-2(2x+1)=4(x-2)solve each equation for x graph your Solution on a number line ​

Mathematics
2 answers:
7nadin3 [17]3 years ago
8 0

Answer:  x = 2

<u>Step-by-step explanation:</u>

10 - 2(2x + 1) = 4(x - 2)

10 - 4x - 2 = 4x - 8       <em>distributed -2 into 2x + 1 and 4 into x - 2</em>

8 - 4x = 4x - 8             <em>added like terms (10 - 2 = 8) on left side</em>

8        = 8x - 8             <em>added 4x to both sides</em>

16       = 8x                  <em>added  8 to both sides</em>

2        =  x                   <em>divided 8 from both sides</em>

stepladder [879]3 years ago
6 0

Answer:

No solution

Step-by-step explanation:

Actually, you have only one equation here.  We will solve it for x.

Performing the indicated multiplication, we obtain:

10-2(2x+1)=4(x-2)  =>  10 - 4x - 2 = 4x - 8, or 10 - 2 = -8.  This can never be true, so this equation has no solution.

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Belle and Mabel are both 8-week-old puppies of different breeds. Belle has a mass of 12
balandron [24]

Answer:

3:1

Step-by-step explanation:

Take the fraction and simplify it:

12/4 = 3/1

6 0
3 years ago
The coefficient of 2(3)(6)Q is ___.
nlexa [21]
The answers is 2 x 3 x 6 = 36
4 0
3 years ago
20. The surface areas of two similar solids are 216 m² and 1014 m². The volume of the larger one is 2197 m³. What is the volume
Andrei [34K]

Answer:

  216 m³

Step-by-step explanation:

The ratio of linear dimensions is the square root of the ratio of area dimensions.

  s = √(216/1014) = √(36/169) = 6/13

Then the ratio of volume dimensions is the cube of that. The smaller volume is ...

  v = (6/13)³·2197 m³ = 216/2197·2197 m³ = 216 m³

The volume of the smaller solid is 216 m³.

8 0
3 years ago
What is the solution to -10 + p = -19
Law Incorporation [45]

Answer:

p = -9 is the answer

8 0
3 years ago
Read 2 more answers
Towers A and B are located 5 miles apart. A ranger spots a fire at a 42-degree angle from tower A. Another fire ranger spots the
lord [1]

Answer: The fire is 3.5 miles from tower B

Step-by-step explanation: Please refer to the attached diagram. The triangle in the attached diagram illustrates the clues given in the question. Both rangers are standing at points A and B respectively with a distance of 5 miles between them, which is line AB. Also, one ranger spots a fire from a tower at an angle of 42 degrees, which is point A. Another ranger spots the same fire from another tower, but from an angle of 64 degrees, which is point B. The fire is at point C on the triangle. Now we have a triangle with only one side known (5 miles) and three angles known (the third angle is computed as 180 - {64+42} which equals 74) which are 64 degrees, 42 degrees and 74 degrees.

The distance from the fire to tower B is calculated using the law of sines. (Note that this is not a right angled triangle, hence we cannot use trigonometric ratios). The law of sines is expressed as follows;

a/SinA = b/SinB or

a/SinA = c/SinC

Depending on the sides and angles we are given and the ones we are to calculate.

The distance from the fire to tower B is line BC, labeled as a in our diagram. Using the law of sines

a/SinA = c/SinC

(Note also that a is directly facing angle A, c is directly facing angle C, and so on)

a/SinA = c/SinC

a/Sin 42 = 5/Sin 74

By cross multiplication we now have

a (Sin 74) = 5 (Sin 42)

Divide both sides of the equation by Sin 74 and we now arrive at

a = 5 (Sin 42)/Sin 74

a = 5 (0.6691)/0.9613

a = 3.3455/0.9613

a = 3.4802

{rounded to the nearest tenth of a mile, a equals 3.5}

Therefore the distance from tower B to the fire is approximately 3.5 miles

3 0
3 years ago
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