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Aleks04 [339]
2 years ago
6

What dose this equal 2(6x-4)=3(6x+2)

Mathematics
2 answers:
AveGali [126]2 years ago
7 0

Answer:

-7/3

Step-by-step explanation:

2(6−4)=3(6+2)

2(6x-4)=3(6x+2)

Solve

1

Distribute

2(6−4)=3(6+2)

{\color{#c92786}{2(6x-4)}}=3(6x+2)

12−8=3(6+2)

{\color{#c92786}{12x-8}}=3(6x+2)

2

Distribute

12−8=3(6+2)

12x-8={\color{#c92786}{3(6x+2)}}

12−8=18+6

12x-8={\color{#c92786}{18x+6}}

3

Add

8

8

to both sides of the equation

12−8=18+6

12x-8=18x+6

12−8+8=18+6+8

12x-8+{\color{#c92786}{8}}=18x+6+{\color{#c92786}{8}}

5 more steps

Solution

=−7/3

masya89 [10]2 years ago
3 0

Use distributive property and PEMDAS

2(6x-4)=3(6x+2)

12x-8=18x+6

now add like variables....

-12x on both sides..

6x-8=6

+8 on both

6x=14

divide 6 on both sides

14/6 is

2.33

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D

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3 years ago
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A company manufactures a part for which there is a desired weight. There is a tolerance of N%, meaning that the range between mi
aleksandrvk [35]

Answer:

Step-by-step explanation:

(A) Determine what the tolerance is for the desired weight 97

The tolerance N% is equal to 1.5% of 97

1.5/100 × 97 = 1.455

Lower limit = 97 - 1.455 = 95.545

Upper limit = 97 + 1.455 = 98.455

(B) Place the vector values into two groups;

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95.5, -97.2, 96.2, 96.1

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98.2, 100, 99.9, 99.8

(C) Determine if each of the values is within the tolerance bracket or not

1. Value 97 is within the tolerance. As a matter of fact, it is the desired weight.

2. Value 98.2 is within the tolerance

3. Value 95.5 is within the tolerance

4. Value -97.2 is far below the tolerance bracket or lower limit

5. Value 96.2 is within the tolerance

6. Value 100 is outside the tolerance

7. Value 99.9 is outside the tolerance

8. Value 99.8 is outside the tolerance

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6 0
3 years ago
On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is
OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)] (1)

Where:

O(x,y) - Center of dilation.

P(x,y) - Original point.

k - Scale factor.

P'(x,y) - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

(P(x,y) = (10, 40), Q(x,y) = (70, 120), O(x,y) = (0,0), k = 5)

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]

P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]

P'(x,y) = (50,200)

Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]

Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]

Q'(x,y) = (350, 600)

Then, the length of the resulting segment is determined by following Pythagorean identity:

l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}

l_{P'Q'} = 500

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3 0
3 years ago
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Goryan [66]

Answer:

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Step-by-step explanation:

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kogti [31]

Answer:

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Step-by-step explanation:

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For each of those choices he has a choice of 7 different shirts, so that gives him 4 times 7 = 28 different pant/shirt combinations. (I hope none of the pants are striped and none of the shirts have polka-dots).

For each those 28 possibilities, he has 5 different ties he could select, so altogether he has 28 times 5 = 140 different outfits, and some of them may be acceptable to wear in public.

It is simply , 4*5*7=140 ways.

3 0
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