Solve by elimination <br> 5x-2y=11 <br> -5x-3y=14

Drag each equation to show if it could be a correct first step to solving the equation

Vlad [161]

Tell me what the answer

4 0

3 years ago

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Justify each step in solving the equation -3(2x-3)=25-8x by writing a reason for each statement.

Mice21 [21]

Answer: x= 8.

Step-by-step explanation: Given equation -3(2x-3)=25-8x.

Step 1: We have -3 in front of (2x-3). We always simplify a parenthesis first.

Therefore, applying Distributive property in first step, we get

-6x +9 = 25-8x.

Step 2: We need to get rid 9 from left side to get constant numbers on right side.

9 is being added on left side.

So, we would apply reverse operation of addition.

Therefore, applying Subtraction property of equality, we get

-6x +9-9 = 25-8x-9

-6x =16 -8x.

Step 3: We need to get rid 8x from right side.

The reverse operation of subtraction is addition.

Therefore, applying Addition property of equality, we get

-6x+8x =16 -8x+8x

2x = 16.

Step 4: We need to isolate it for x.

So, applying Division property of equality, we get

$\frac{2x}{2}=\frac{16}{2}$

4 0

2 years ago

3.92 rounded to the nearest tenth

Troyanec [42]

3.92 rounded to the nearest tenth should be 4.00 or 4, sorry if I’m wrong, have a good rest of your day/night

5 0

2 years ago

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A movie club offers two plans. Plan A charges $40 to sign up for the plan and $8 for each movie ticket. Plan B charges $67 to si

Travka [436]

Answer:

9

Step-by-step explanation:

X=Tickets bought

A=$40+$8x

B=$67+$5x

After 1 ticket bought it would be:

A=$48

B=$72

After 9 tickets bought:

A=$112

B=$112

From this you can see that Plan B is better for ones who would see 9+ movies as the recurring price would be lower. If you would only go to watch a couple movies, Plan A would be better.

3 0

3 years ago

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An engineer stands 200 feet from a tower and sights the top of the tower at a 45° angle of elevation. Find the height of the tow

Alik [6]

Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet

6 0

2 years ago

Solve by elimination 5x-2y=11 -5x-3y=14