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IRISSAK [1]
3 years ago
5

Which is a correct first step in solving 5- 2x < 8x - 3?​

Mathematics
2 answers:
Anestetic [448]3 years ago
8 0

Answer:

x>4/5

Step-by-step explanation:

<em>Subtract by 5 from both sides of equation.</em>

<em>5-2x-5<8x-3-5</em>

<em>Simplify.</em>

<em>-2x<8x-8</em>

<em>Subtract by 8x from both sides of equation.</em>

<em>-2x-8x<8x-8-8x</em>

<em>Simplify.</em>

<em>-10x<-8</em>

<em>Multiply by -1 from both sides of equation.</em>

<em>(-10x)(-1)>(-8)(-1)</em>

<em>Simplify.</em>

<em>10x>8</em>

<em>Divide by 10 from both sides of equation.</em>

<em>10x/10>8/10</em>

<em>Simplify, to find the answer.</em>

<em>8/10=4/5</em>

<em>x>4/5 is the correct answer.</em>

<em>I hope this helps you, and have a wonderful day! </em>

rodikova [14]3 years ago
4 0

Answer:

Isolating the x.

Step-by-step explanation:

The first step to solving this problem is to isolate the variable, x.

To do so, subtract 8x and 5 from both sides.

Step #1)

5 - 2x < 8x - 3

5 (-5) - 2x (-8x) < 8x (-8x) - 3 (-5)

-2x - 8x < -3 - 5

-10x < -8

~

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Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width.  In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0
3 years ago
Find the base of an isosceles triangle whose area is 60 cm2 and the length of one of its equal sides is 13 cm​
Karolina [17]

Answer:

b≈10cm

or

24cm

Step-by-step explanation:

5 0
3 years ago
Two vertices of a rectangle are located at (-2,3) and (4,3). The area of the rectangle is 30 square units. Which of the followin
pshichka [43]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If x+3/3 = y+2/2 then x/3 =
lukranit [14]
I'd say first isolate the "x"
(x+3)/3=(y+2)/2
x+3=3*(y+2)/2
x=3(y+2)/2 -3

so we get "x" equals three times "y" plus two which is then divided by two and subtracted by three.

after that I would simply divide both sides by three as shown below

x/3=( 3*(y+2)/2  -3)/3

x/3 =(y+2)/2 -1  (answer simplified)

5 0
3 years ago
A box contains 150 black pens and 50 red pens. Jose said the sum of the probability that a randomly selected pen will not be bla
pishuonlain [190]
Maybe it is black because 150is more than 50 so about 75/100
3 0
3 years ago
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