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leonid [27]
2 years ago
12

4(x - 6) + 2 = 6x -2 solve the equation

Mathematics
2 answers:
musickatia [10]2 years ago
7 0

Answer:

x=−10

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x−6)+2=6x−2

Step 1: Simplify both sides of the equation.

4(x−6)+2=6x−2

(4)(x)+(4)(−6)+2=6x+−2(Distribute)

4x+−24+2=6x+−2

(4x)+(−24+2)=6x−2(Combine Like Terms)

4x+−22=6x−2

4x−22=6x−2

Step 2: Subtract 6x from both sides.

4x−22−6x=6x−2−6x

−2x−22=−2

Step 3: Add 22 to both sides.

−2x−22+22=−2+22

−2x=20

Step 4: Divide both sides by -2.

−2x

−2

=

20

−2

x=−10

blsea [12.9K]2 years ago
7 0

Answer:x=-10

Step-by-step explanation:4x-24+2=6x-2 -22+4x=6x-2 , 2x=-20 , x=-10

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In front of a store, there is a row of parking spaces. Cars park parallel to one another, with the front of each car facing the
Gelneren [198K]

The width used for the car spaces are taken as a multiples of the width of

the compact car spaces.

Correct response:

  • The store owners are incorrect
<h3 /><h3>Methods used to obtain the above response</h3>

Let <em>x</em><em> </em>represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.

We have;

Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)

New space design = 16·x + 9×(a·x) = x·(16 + 9·a)

When the dimensions of the initial and new arrangement are equal, we have;

10 + 12·a = 16 + 9·a

12·a - 9·a = 16 - 10 = 6

3·a = 6

a = 6 ÷ 3 = 2

a = 2

Whereby the factor <em>a</em> < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;

10 + 12·a < 16 + 9·a

Which gives;

x·(10 + 12·a) < x·(16 + 9·a)

Therefore;

The initial total car park space is less than the space required for 16

compact spaces and 9 full size spaces, therefore; the store owners are

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5 0
2 years ago
Nine is 4 percent of what number
Katarina [22]

Answer:

225

Step-by-step explanation:

We can model this question with:

9 = 0.04x

x represents "what number."

0.04x = 9.

Divide 0.04 from both sides

0.04x ÷ 0.04 = 9 ÷ 0.04

9 ÷ 0.04 = 225.

Therefore, 9 is 4% of 225.

5 0
3 years ago
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can some one also please help my one that i should do after i finds the area of the square aka how to find the area of the trian
Andre45 [30]

Answer:

6 square units

Step-by-step explanation:

Given shape is of a trapezoid:

area \: of \: trapezoid  \\ =  \frac{1}{2}  \times (4 + 2) \times 2 \\  \\  = 6 \:  {units}^{2}

Area of shape = area of square + area of triangle

= 2^2 + \frac{1}{2} \times 2\times 2\\= 4 + 2\\= 6\: units^2 \\

4 0
3 years ago
Jasmine is part of a bowling league and wants to beat the team record of an average score of 240 out of 300 possible points per
hoa [83]

Answer:

her score in sixth game is 270

Step-by-step explanation:

The computation of the Jasmine score in her sixth game is shown below:

Let us assume her sixth game score is x

And, the first five games are 252, 227, 210, 239, 242

And, the average score is 240

So, the following formula should be used

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252 + 227 + 210 + 239 + 242 + x = 240 × 6  

252 + 227 + 210 + 239 + 242 + x = 1,440

x = 270

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6 0
3 years ago
A market research firm knows from historical data that telephone surveys have a 36% response rate. In a random sample of 280 tel
Rasek [7]

Answer:

0.6604

Step-by-step explanation:

Given that a market  research firm knows from historical data that telephone surveys have a 36% response rate.

Sample size of random sample = 280

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= \sqrt{\frac{pq}{n} }

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Using normal distribution values we can find\

P(33.5p.c. < p < 39pc)\\= P(0.335

3 0
3 years ago
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