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ipn [44]
3 years ago
9

20x+x-2=4 rational equation​

Mathematics
2 answers:
laila [671]3 years ago
8 0

Answer:

x = 2/7

Step-by-step explanation:

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for <em>x</em>

  1. <u>Combine like terms:</u> 21x - 2 = 4
  2. <u>Add 2 to both sides:</u> 21x = 6
  3. <u>Divide both sides by 21:</u> x = 6/21
  4. <u>Simplify:</u> x = 2/7

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

vitfil [10]3 years ago
7 0

Answer:

x = 2/7

Step-by-step explanation:

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

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sergejj [24]

Answer:

The answer is below

Step-by-step explanation:

Mrs. Fielder decides to build a small snow shelter for her children to wait in before the school bus arrives in the morning. She has only enough wood for a total perimeter of 20 feet.

a. Make a table of all the whole number possibilities for the length and width of the shelter. Find the area of each shelter.

b. What dimensions should Mrs. Fielder choose to have the greatest area in her shelter?

c. What dimensions should Mrs. Fielder choose to have the least area in her shelter?

d. Township building codes require 3 square feet for each child in a snow shelter. Which shelter from part (a) will fit the most children? How many children is this? Explain your reasoning.

Solution:

a) Let W represent the width of the school shelter and let L represent the length of the school shelter. Therefore:

Perimeter of the school shelter = 2(length + breadth)

20 = 2(L + W)

L + W = 10

Also, the area of the school shelter = L * W

Length (ft)              Width (ft)           Area(ft²) = length * width

1                               9                        9

2                              8                        16

3                              7                         21

4                              6                         24

5                              5                         25

b) The shelter with a length of 5 ft and width of 5 ft has the largest area.            

c) The shelter with a length of 1 ft and width of 9 ft has the least area.  

d) The 4 by 6 ft shelter can hold 8 children (24 ft² / 3 ft² = 8) and the 5 by 5 ft shelter can hold 8 children with an extra space (25 ft² / 3 ft² = 8.33).

8 0
2 years ago
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–
polet [3.4K]

The expression (21 + 5i) + (-1 + i) demonstrates the commutative property of addition for (-1 + i) + (21 + 5i)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Given the expression:

(-1 + i) + (21 + 5i)

Using the commutative property of addition, we get:

(21 + 5i) + (-1 + i)

The expression (21 + 5i) + (-1 + i) demonstrates the commutative property of addition for (-1 + i) + (21 + 5i)

Find out more on equation at: brainly.com/question/2972832

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Answer:

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Step-by-step explanation:

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2 years ago
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Please help me. Should I know this?
slega [8]

you don't need to know this for real life situations but for school you do need to know it, i dont know how to do this but here's a link to the same question you have but it's explained on how to solve it

https://www.wyzant.com/resources/answers/499729/fireworks_can_go_up_to_1000_feet_in_around_3_seconds_what_s_is_it_s_average_vertical_speed_in_feet_per_second_and_miles_per_hour

((Also i'm a fellow ARMY as well =) ))

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3 years ago
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pentagon [3]

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased

Therefore the option d is correct

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