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3 years ago

1 Solve: -1/2x+2=-x+7

Mathematics

2 answers:

Ugo [173]3 years ago

7 0

Answer:

x=10

Step-by-step explanation:

Step 1: Add x to both sides

Step 2: Subtract 2 from both sides.

Step 3: Multiply both sides by 2.

sveticcg [70]3 years ago

6 0

The correct should be X=10

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Simplify to create an equivalent expression.

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Answer:

a.) -20p - 2

Step-by-step explanation:

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3 years ago

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Picture attached!! help!

o-na [289]

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3 years ago

What will the length of segment I' J' be?

Ymorist [56]

Answer:

5.333

Step-by-step explanation:

To find the length of dilated I' J' we need to dilate the shape.

To do this you multiply each coordinate by 8/3.

Ex: (x,y) ---> (8/3x, 8/3y)

H: (0,3) ---> (8/3*0, 8/3*3)

I: (1,1) ---> (8/3*1, 8/3*1)

J: (3,1) ---> (8/3*3, 8/3*1)

K: (2,5) ---> (8/3*2, 8/3*5)

Now we plot this. (Picture attached)

The new I' coordinate: (2.667, 2.667)

The new J' coordinate: (8, 2.667)

The new length would be 8 - 2.667 so we can find the distance between the two points.

Note we are subtracting the y coordinates and not x because x coordinates represent height and y represents length

8 - 2.667 equals 5.333

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2 years ago

Solve x − 2y = 3 for x.

wolverine [178]

Answer:

$x=2y+3$

Step-by-step explanation:

So we have the equation:

$x-2y=3$

And we want to solve for x. In other words, we want to isolate the x-variable.

So, add 2y to both sides of the equation.

$(x-2y)+2y=(3)+2y$

On the left, the 2y cancel. Simplify the right:

$x=2y+3$

And we're done!

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How many ways can 5 people be arranged in a line?

Rasek [7]

Answer: 120 ways

Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.

Let's start by drawing 5 blanks to represent the 5 different positions in the line.

Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have 5 4 3 2 1.

Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.

5 x 4 is 20, 20 x 3 is 60, 60 x 2 is 120, and 120 x 1 is 120.

So there are 120 ways for all 5 spots to be filled which means that there are 120 ways that 5 people can be arranged in a line.

I have also shown my work on the whiteboard in the image attached.

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