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Makovka662 [10]
3 years ago
5

1. 3(x – 5) + 4x = 5(x + 3)

Mathematics
2 answers:
OLga [1]3 years ago
8 0
3(x-5) + 4x = 5(x+3)
3x-15+4x=5x+15
7x-15=5x+15
7x=5x+30
2x=30
X=15
vfiekz [6]3 years ago
3 0

Answer: x=15

Step-by-step explanation:

3(x-5)+4x=5(x+3)

distribute

3x-15+4x=5x+15

combine like terms

7x-15=5x+15

add the 15 over to the right side

7x=5x+30

minus 5x over

2x=30

divide by 2

x=15

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I believe it is Option 1

Step-by-step explanation:

Since the fourth root of 81 will be 3 and of 16 will be 2.

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Find the 9th term of the geometric sequence 9, -27, 81,
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Answer:

59049 each term is the last multiplied by -3.

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4 years ago
find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)
Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

(x_1, y_1)=(-2,1)

(x_2, y_2)=(4,5)  

m:n=3:7    

Upon substituting coordinates of our given points in section formula we will get,

[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]

[x=\frac{12-14}{10}, y= \frac{15+7}{10}]

[x=\frac{-2}{10}, y= \frac{22}{10}]

[x=-0.2, y= 2.2]

Therefore, coordinates of point Z will be (-0.2, 2.2).

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How many times does 6 go into 31
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a car manufacturere is considering location an assembly plant in your region. List two simple, two intermediate, and two complex
Ludmilka [50]

Answer:simple problems

inadequate spare parts and unskilled mechanic

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Complex problems:Government instability and climatic condition

Step-by-step explanation:

Simple problem

1. Inadequate spare part: If there is low or no spare part at all, the company would encountered some set back to help accelerate the operation of the company.

2. Unskilled mechanic : in case of any technical or mechanical fault, the company needs a specialist to help put the plant in order if not there would a problem.

Intermediate problems

1. Poor road networks: it is pertinent and paramount that poor road network for availability could result to low patronage from the customers.

2. Lack of space: If there is limited or small space could cause a hindrance in establishing a plant in the region.

Complex problem

1. Government instability :If there is poor government policies, it could contribute to lack of interest from both the manufacturer and the customers that patronises.

2. Climatic condition :unfavourable climate condition that could lead to displacement of people in the society can affect the success of the plant in the stipulated region.

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3 years ago
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