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Gemiola [76]
2 years ago
7

2/5=w-3/2 w=19/10 What are the steps?

Mathematics
2 answers:
Mekhanik [1.2K]2 years ago
3 0
2/5=w-3/2
remember that to solve we want to isolate 1 w one side by itself
also remember that we can do anything to an equation as long as we do it to both sides (except divide by zero)

2/5=w-3/2
so we add 3/2 to both sides to get rid of the 3/2
2/5+3/2=w+3/2-3/2
2/5+3/2=w+0
2/5+3/2=w

make the bottom numbers the same
the number is 10
2/5 times 2/2=4/10
3/2 times 5/5=15/10

4/10+15/10=w
4/10+15/10=(4+15)/10=(19)/10
w=19/10
so the steps are:
1. add 3/2 to both sides
2. make the denomenators of 2/5 and 3/2 the same so we can add them
egoroff_w [7]2 years ago
3 0
So,

I'm assuming you want me to evaluate the equation when w = 19/10.

\frac{2}{5} =w- \frac{3}{2}

w= \frac{19}{10}

Substitute.
\frac{2}{5} = \frac{19}{10} - \frac{3}{2}

Change all fractions to common denominators by finding the LCM.
LCM of 2, 5, 10 = 10

Multiply each fraction by the appropriate form of 1.
\frac{4}{10} = \frac{19}{10} - \frac{15}{10}

Subtract.
\frac{4}{10} = \frac{4}{10}

This is a true statement.

You could also say these things.

\frac{2}{5} = \frac{2}{5}

0.4 = 0.4

40% = 40%


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Read 2 more answers
The ratio of the perimeters of two similar triangles is 4:3. What are the areas of these triangles if the sum of their areas is
emmasim [6.3K]

Answer:

the areas of these triangles are 83.2cm² and 46.8cm²

Step-by-step explanation:

1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:

4²:3²

 16:9                                                                      

2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

130(16/16+9)

130(0.64)

=83.2cm²

3. The area of the smaller triangle is:

130(9/16+9)

130(0.36)

46.8cm²

<u>Hope this help</u>s

6 0
2 years ago
PLS HELP ASAP If -2 is added to each of the x and y intercepts of the line 3x + 2y = 6, find the new equation of the line
ella [17]

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

7 0
2 years ago
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