x2 − x − 6 x2 = x − 6 2x + 2x + 12 x After multiplying each side of the equation by the LCD and simplifying, the resulting equation is .

60 5/6 + 56 1/6 = 117

59 1/3 + 54 1/3 = 113 2/3

117 + 113 2/3 = 230 2/3 feet

The simplifying value of the expression is,

⇒ 3q - 6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4p + 12 - 3q - 4p - 18 + 6q

Now,

Simplify the expression as;

⇒ 4p + 12 - 3q - 4p - 18 + 6q

⇒ 4p - 4p - 3q + 6q + 12 - 18

⇒ 0 + 3q - 6

⇒ 3q - 6

Thus, The simplifying value of the expression is,

⇒ 3q - 6

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rate of change for 2x+4y=10

here rate of change can be found by finding slope

the general form for slope is y=mx+b

isolating y on the left side:

2x+4y=10

4y=[tex] y=\frac{-2x+10}{4}

[/tex]-2x+10

from here slope is -1/2

Rate of change =-1/2

1 yard = 3 feet

 divide 24 feet by 3 feet to get yards

24 / 3 = 8 yards

To convert 70 meters to inches, use the unit multiplier method. 70 meters is equal to 2755.91 inches.

To convert meters to inches, we can use the unit multiplier method. There are two unit multipliers we can use:

1 meter = 39.37 inches and 1 inch = 0.0254 meters.

Therefore, 70 meters is equal to 2755.91 inches.

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The coordinates of triangle A'B'C' are A'(-4, 4), B'(2, 6) and C'(-2, 0).

Given that, triangle ABC is dilated with a center at the origin and a scale factor of 2.

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

From the given graph, A(-2,2), B(1, 3) and C(-1, 0)

By using a scale factor of 2, we get

A(-2,2)→2(-2, 2)=A'(-4, 4)

B(1, 3)→2(1, 3)=B'(2, 6)

C(-1, 0)→2(-1, 0)=C'(-2, 0)

Therefore, the coordinates of triangle A'B'C' are A'(-4, 4), B'(2, 6) and C'(-2, 0).

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Answer:2.2 pounds per kilogram

Step-by-step explanation:

454gram = 1 pound

since; 1000g = 1kg

454g = x

x= 454/1000

x=0.454kg

there is 0.454kg in 1 pound

but the question says how many pound is in 1kg

0.454kg = 1 pound

1 kg = x

cross multiply

0.454x = 1

Divide bothside by 0.454

x = 1/0.454

x = 2.2 pound

Therefore; there are 2.2pounds in 1 kilogram.

There are 2.20 pounds are there per kilogram

Given that,

1 kg = 1000 gm

1 pound = 454 gm

Since we know that,

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Since,

1 pound = 454 gm

Therefore,

⇒ 454 gm = 1 pound

⇒       1 gm = 1/454 pound

And since,

1 kg = 1000 gm

       = 1000x(1/454) pound

       = 2.20 pounds

Hence,

1 kg = 2.20 pounds

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Answer:

As given : Graph in the coordinate plane with title Julia’s volleyball digs. Vertical axis goes from 0 to 60 in increments of 5 and is labeled number of digs. Horizontal axis goes from 0 to 10 in increments of 1 and is labeled games played. A ray on the graph starts at point begin ordered pair 0 comma 25 end ordered pair and goes through points begin ordered pair 4 comma 37 end ordered pair and begin ordered pair 8 comma 49 end ordered pair.

As the ray passes through (0,25) and (4,37) and (8,49).

Equation of line passing through (a, b) and (p,q) is given by:

 →  [tex]\frac{y-b}{x-a}=\frac{q-b}{p-a}[/tex]

→Equation of line passing through (0,25) and (4,37) is :

[tex]\frac{y-25}{x-0}=\frac{37-25}{4-0}=3\\\\y -25=3x\\y =3x + 25[/tex]

As , y= 3 x + 25,  also passes through (8,49) also.

Equation of line is : y = 3 x + 25 or in Standard form : - 3 x + y = 25

Option (D) is the standard form of line which is : - 3 x + y = 25

Answer: Add 7 7 times

Step-by-step explanation: if you add 7 7 times like this 7+7+7+7+7+7+7 then that is your answer easy way too.

The explicit formula for the sequence (8, 17, 26, 35, 44, 53, ...) is 8 + (n-1) * 9, and the 12th term can be found by substituting n = 12. The recursive formula for the sequence is a1 = 8 and an = an-1 + 9. Using this recursive formula, we can verify that the 7th term is indeed 62.

To create an explicit formula for the sequence (8, 17, 26, 35, 44, 53, ...), we notice that the difference between each term is 9. So, the explicit formula for the sequence is 8 + (n-1) * 9, where n represents the position of the term in the sequence. Using this formula, we can find the 12th term by substituting n = 12: 8 + (12-1) * 9 = 89.

To create a recursive formula to prove that the 7th term is 62, we observe that each term is the previous term plus 9. So, the recursive formula for the sequence is:

Using this recursive formula and starting with a1 = 8, we can find the 7th term as follows:

Therefore, the 7th term in the sequence is indeed 62.

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