2. Identify the property of equality that justifies the missing step to solve the given equation

Answer:

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

Step-by-step explanation:

Find the cost of 6 pounds of apples:

1 pound = $1.50

6 pounds = 6 x 1.5

Price after discount:

Discount = $2

Price after discount = (6 x 1.5) - 2

The cost is shared with her friend:

One person = [(6 x 1.5) - 2] ÷ 2

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

Answer:

(4, 18)

Step-by-step explanation:

We can just pluck the x values into the equation: y = 5x -1 to see if the y values fit.

1. y = 5(4) - 1

     = 20 - 1

     = 19 (Nope, 18 is not 19)

2. y = 5(3) - 1

      = 15 - 1

      = 14 (Yep, same as option)

3. y = 5(0) - 1

      = 0-1

      = -1 (Yep, same as option)

4. y = 5(2) - 1

      = 10 - 1

      = 9 (Yep, same as option)

The point (4, 18) is not lies on the given line.

First option is correct.

The equation of line in slope intercept form is,

                              [tex]y=mx+c[/tex]

Where m is slope and c is y intercept.

Given that, m = 5 and c = -1

Substitute above values

Equation of line is,

                         [tex]y=5x-1[/tex]

Substitute first option (4, 18) in equation of line.

                     [tex]18=5(4)-1\\\\18=20-1\\\\18=19[/tex], which is invalid equation.

Hence, point (4, 18) is not lies on the given line.

Learn more:

https://brainly.com/question/17003809

Answer:

1100

Step-by-step explanation:

Answer:

9. x = 12

10. x = 31

Step-by-step explanation:

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

7x - 20 = 4x + 16

Solve

3x - 20 = 16

3x = 36

x = 12

Therefore x is equal to 12

Check:

4(12) + 16

= 64

7(12) - 20

= 64

10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

x + 2x + 25 + 2x = 180

Combine like terms

5x + 25 = 180

Solve

5x = 155

x = 31

Therefore, x = 31.

Check:

31 + 2(31) + 25 + 2(31) = 180

31 + 62 + 25 + 62 = 180

180 = 180

I hope this helps!!

- Kay :)

Answer:

The rule is that any number raised to the power of 0 equals to 1. So if 2 or 1,000,000 is raised to the power of 0 it equals 1.

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

The rule is any number raised to the power of 0 is equal to 1

ex. if 200 is raised to the power of 0, it will be 1  

Answer:

A

Step-by-step explanation:

Hopefully this helps

Answer:

The product of 3[tex]\sqrt{8}[/tex] (4 [tex]\sqrt{3}[/tex]) is 24[tex]\sqrt{6}[/tex]

The answer is A.

Answer:

(b) 52.3

Step-by-step explanation:

Given that,

Radius, r = 10

Angle, [tex]\theta=60^{\circ}[/tex]

We need to find the area of the sector. The formula for the area of the sector is given by :

[tex]A=\dfrac{\theta}{360}\pi r^2\\\\=\dfrac{60}{360}\times \dfrac{22}{7}\times (10)^2\\\\=52.3\ \text{unit}^2[/tex]

Hence, the correct option is (b).

Answer:

9/28

Step-by-step explanation:

3*3 = 9

7*3 = 21 not 28

hence, this fraction isn't proportional

Answer:

0.4

Step-by-step explanation:

8/20 = 0.4

Answer:

[tex]12\sqrt{3}[/tex]

Step-by-step explanation:

I do not know if this is completely correct

Answer:

Original: 3(5x - 2) + 3x

15x - 6 +3x

Answer: 18x - 6

Answer:

18x-6

Step-by-step explanation:

3(5x-2)+3x

Distribute 3 into the parathesis: 15x-6+3x

Combine like terms: 18x-6

Your final answer is 18x-6

Answer:

7+3n=28 and the answer would be n=7

Step-by-step explanation:

7+3n=28 subtract 7 on both sides, that would leave 3n=21, divide 3 on both sides, the answer would be n=7 if I'm correct. I hope I helped.

Answer:

One Solution

Step-by-step explanation:

Do distributive property

3k+6+3+7k=2k+4+3k

Combine like terms

10k+9=5k+4

Subtract 5k from 10k

5k+9=4

Subtract 9 from 4

5k=-5

Divide

k=-1

Hope this helped, Have a Wonderful Day!!

Answer:

21.6 feet.

Step-by-step explanation:

By proportion that is (9/5) * 12

= 1.8 * 12

= 21.6 feet.

Answer:

11 1/4

Step-by-step explanation:

9/2/4/10

9/2/2/5

9/2*5/2

45/4

11 1/4

Final Answer:

45/4

Step-by-step explanation:

9/2 ÷ 4/10

90/8 ⇒ 45/4

Answer:

12

Step-by-step explanation:

Answer:

If the month is march then the next month is February

Step-by-step explanation:

where's the "following" choices

Answer:

9 x 9 x 9 x 9

Step-by-step explanation:

9^4 is a shorter and similar way of writing 9 x 9 x 9 x 9

Answer:

(a) 6.708

(b) 11

Step-by-step explanation:

Tuples ( 22, 1, 42, 10) and (20, 0, 36, 8)

Euclidian distance formula  

[tex]D = \sqrt{(q1 -p1)^2 + (q2-p1)^2 + (q3 - p3)^2 + (q4 -p4)^2}[/tex]

D = [tex]\sqrt{(22-20)^2 + (1-0)^2 + (42 -36)^2 + (10 -8)^2 }[/tex]

   = [tex]\sqrt{(2)^2 + (1)^2 + (6)^2 + (2)^2}[/tex]

    = [tex]\sqrt{4 + 1 + 36 + 4 }[/tex]

     = [tex]\sqrt{45}[/tex]

 D    = 6.708

Therefore the Euclidean distance between the tuples is 6.708

Manhattan Distance formula

D = |q1-p1| + |q2 -p2| + |q3 -p3| + |q4-p4|

  = |22-20| + | 1-0| + | 42 -36| + | 10-8|

 = |2| + |1| + |6| + |2|

D = 11

Therefore the Manhattan distance is equal to 11

Answer:

It's 9

Step-by-step explanation:

2x+10=3x+1

-x=-9

x=9

Answer:

-7x

Step-by-step explanation:

-6x - x =

-7x

Answer:

x = 1,

Common Difference = -3

Step-by-step explanation:

Each number in series has the same difference, hence

Which solves for -3

Answer:

x=1

c.d.=3

Step-by-step explanation:

2(2x+3)=x+1+x+7

4x+6=2x+8

4x-2x=8-6

2x=2

x=1

so terms are 2,5,8

c.d.=5-2=3