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I am Lyosha [343]
2 years ago
3

Drag each equation to show if it could be a correct first step to solving the equation 3(6 + x) = 24.

Mathematics
2 answers:
NeX [460]2 years ago
5 0

Answer:

(3×6) + (3×x) = 24       ←    1st Step

Step-by-step explanation:

3(6+x) = 24

First step is expand the brackets by distributive property.

=> (3×6) + (3×x) = 24       ←    1st Step

Multiply

=> 18+3x = 24                  ←     2nd Step

Subtracting 18 to both sides

=> 3x = 6                          ←      3rd Step

Dividing both sides by 3

=> x = 2                             ←       4th step

diamong [38]2 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Step 1: Distribute

18 + 3x = 24

Step 2: Subtract 18 from both sides

3x = 6

Step 3: Divide both sides by 3

x = 2

Your first step would be to distribute/multiply the 3 to the parenthesis.

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Evaluate 1/3 m - 1 - 1/2 n when m = 21 and n = 12
Dmitry_Shevchenko [17]

Answer:

0

Step-by-step explanation:

1/3(21)-1-1/2(12)

7-1-6=6-6=0

3 0
2 years ago
Two square rooms have a total floor area of 89m2. One room is 3m longer each way than the other. Find the dimensions of the two
Rudiy27

Answer:

A

Step-by-step explanation:

Let the smaller room have an area of x^2

Let the larger room have an area of (x + 3)^2

(x+3) ^2 + x^2 = 89               Be careful not to make it 89^2.

x^2 + 6x + 9 + x^2 = 89        Expand the binomial squared

2x^2 + 6x + 9 - 89 = 0          Subtract 89 from both sides

2x^2 + 6x + 9 - 89 = 0          Combine

2x^2 + 6x - 90=0                  Divide by 2

x^2 + 3x - 45 = 0         This factors.

(x + 9)(x- 5) = 0

X + 9 gives nothing useful

x - 5 = 0

x = 5

x + 3 = 5+3 = 8

So the answer is A

3 0
2 years ago
6q + 9 ≤ 9 and 6q + 9 ≥ −9
Ilya [14]
Hello there!

6q + 9 ≤ 9

Start by subtracting 9 from both sides

6q + 9 - 9 ≤ 9 - 9

6q ≤ 0

Then divide both sides by 6

6q/6 ≤ 0/6

q ≤ 0

--------------

The second equation
6q + 9 ≥ -9

Start by subtracting 9 from both sides

6q + 9  - 9 ≥ -9 - 9

6q ≥ -18

Divide both sides by 6

6q/6 ≥ -18/6

q ≥ -3


Good luck with your studies!
7 0
2 years ago
Read 2 more answers
Parabola Skate Rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc of Hawk Skate Rental rents skate board
NNADVOKAT [17]

Answer: \bold{13\dfrac{1}{3}\ \text{hours}}

<u>Step-by-step explanation:</u>

Parabola Skate Rental:   4.50x + 35

Arc Hawk Skate Rental:  5.25x + 25


If you want to know when their cost will be the same, set the equations equal to each other.

5.25x + 25 = 4.50x + 35

0.75x + 25 = 35          <em>subtracted 4.50x from both sides</em>

0.75x = 10           <em>subtracted 25 from both sides</em>          

     x=\dfrac{1000}{75}        <em>divided both sides by 0.75</em>

     x = 13\dfrac{1}{3}        <em>simplified the fraction</em>


8 0
2 years ago
An architect builds a model of a park in the shape of a rectangle. The model is 40.64 centimeters long and 66.04 centimeters wid
Sever21 [200]
The answer is 16 inches long and 26 inches wide.
7 0
2 years ago
Read 2 more answers
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