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n200080 [17]
3 years ago
10

Please solve and explain how. Photo attached

Mathematics
1 answer:
MArishka [77]3 years ago
7 0

The solution is x=14

Explanation:

The given expression is \frac{6}{x^{2} -3x}=\frac{1}{x}- \frac{5}{x^{2} -3x}

We need to determine the solution of the expression.

Let us simplify the equation by taking LCM on both sides.

The LCM of x^{2} -3x is x(x-3)

Thus, we have,

\frac{6}{x^{2} -3x}x(x-3)=\frac{1}{x}x(x-3)- \frac{5}{x^{2} -3x}x(x-3)

Simplifying the terms, we get,

6=x-3-5

Subtracting the terms, we have,

6=x-8

Subtracting both sides of the expression by 6, we get,

0=x-14

Adding both sides of the expression by 14, we have,

14=x

Thus, the solution of the equation is x=14

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Mrs.Fielder decides to build a small snow shelter for her children to wait in before the school bus arrives in the morning she h
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
Sofie wrote an odd number on her paper what is a number sofie did not do
djverab [1.8K]

Answer:

0, 2, 4, 6, 8, 10, etc..

Step-by-step explanation:

Basically any even number or 0

5 0
2 years ago
Read 2 more answers
Please help i will thank and rate 5 star!
stich3 [128]
The sign of the product of that equation would be negative.
5 0
2 years ago
Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) an
stepladder [879]

Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

y = 3/4(x - 6) + 7

y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

y - 9 = -4/3(x  + 6)

y = -4/3 x  - 8 + 9

y = 4/3x + 1.

6 0
2 years ago
Find the surface area of a rectangular prism with a height of 6 inches, a width of 7 inches, and a length of 13 inches. A) 338 i
oee [108]

Answer:

422 in.2

Step-by-step explanation:

Substitute the measurements of the rectangular prism into the formula SA = 2(lw) + 2 (lw) + 2(lh): 2(13)(7) + 2(6)(7) + 2(13)(6) = 422 in2.

8 0
3 years ago
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