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katrin [286]
3 years ago
11

Help me with my pre algebra hw

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
8 0
0.4 (2x + 1/2) = 3 [0.2x+(-2)] - 4
0.4 (2x + 1/2) = 3(0.2x-2) - 4

Then, you have to use the distributive property.
0.8x + 0.2 = 0.6x - 6 - 4
0.8x + 0.2 = 0.6x - 10
0.8x - 0.6x + 0.2 = -10
0.2x + 0.2 = -10
0.2x = -0.2 - 10
0.2x = -10.2
x = -10.2/0.2
x = -51

Does that make sense?
Studentka2010 [4]3 years ago
5 0
We just distribute the numbers out inside the parenthesis:

0.4(2x + \frac{1}{2}) = 3[0.2x + (-2)] - 4
(0.4 × 2x) + (0.4 ×\frac{1}{2}) = (3 × 0.2x) + (3 × -2) - 4
0.8x + 0.2 = 0.6x - 6 - 4

Join the like terms:

0.8x + 0.2 = 0.6x - 10

0.8x - 0.6x = -10 - 0.2
0.2x = -10.2

Divide by 0.2 to isolate x

\frac{0.2x}{0.2} = -\frac{10.2}{0.2}
0.2 and 0.2 cancels out

x = -51

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Given:

\frac{1}{3}v=-5

To get rid of the fraction, we can multiply both sides by the denominator, which is 3. This will cancel the fraction:

3(\frac{1}{3}v)=3(-5)

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v=-15

3 0
3 years ago
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2 years ago
Which College entrance exam has the least amount of math problems to work? ​
taurus [48]

Answer:

SAT

Step-by-step explanation:

The two main college entrance exams are the SAT and ACT which are used for almost all colleges in the United States. Between these two the SAT has a lesser focus on math in general. Instead, the SAT tends to focus more on word problems and the process taken to solve them. This does not mean that it has no math at all, there is still a math section on the SAT's but it is not as extensive as in the ACT's.

7 0
2 years ago
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t
yan [13]
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides

<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0
3 years ago
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Rina8888 [55]
First combine like terms ,
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move the variable which will cancel out because it is the same
5=9 is no solution sorry if i’m wrong lol
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