Evaluate and reduce:
7
3
--
8
16
Enter the number that belongs in the
green box.
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Enter

twenty-two and thirty-five hundredths

Answer:

Distribution is used from steps 1-2

They eliminate 2x by subtracting it on both sides (steps 3-4)

They eliminated 6 by subtracting it from both sides (steps 5-6)

(steps 3-6 is eliminating like-terms)

Thus this leaves the answer being x=-3

Step-by-step explanation:

Equation 3(x+2) = 2x+3 solved using distributive property and simplification, final solution is x = -3.

Let's identify the reason for each step in the solution to the equation 3(x+2) = 2x+3:

Distributive Property

The first step applies the Distributive Property,

which states that multiplying a number outside the parentheses by the terms inside the parentheses.

Here, we multiply 3 by (x+2),

3(x+2)

= 3 × x + 3 ×2

= 3x + 6

Combining Like Terms

In the second step, combine like terms on both sides of the equation.

On the left side, we have 3x, and on the right side, we have 2x.

We also have constants 6 on the left side and 3 on the right side.

3x + 6 = 2x + 3

Move Variables to One Side

To solve for 'x', we want all the terms with 'x' on one side of the equation.

Here,  move the term with 2x to the left side by subtracting 2x from both sides of the equation:

3x + 6 - 2x = 2x + 3 - 2x

Simplify

On the left side, the term 2x cancels out with the 2x on the right side, leaving us with:

x + 6 = 3

Move Constants to the Other Side

To isolate 'x', we need to get rid of the constant term on the left side.

Subtracting 6 from both sides of the equation:

x + 6 - 6 = 3 - 6

Simplify

On the left side, the +6 and -6 cancel out, leaving us with:

x = -3

Final Solution

After simplifying, find that the value of 'x' that satisfies the original equation is x = -3.

This means that if we replace 'x' with -3 in the equation, it will hold true:

3(-3 + 2) = 2(-3) + 3

-3 = -6 + 3

-3 = -3

And that's why the solution to the equation is x = -3.

Therefore, the reason required for solving the equation are distributive property and simplification which gives solution is x = -3

learn more about simplification here

brainly.com/question/2804192

#SPJ2

Answer:

6/21

Step-by-step explanation:

6/21 can be divided by 3 to equal 2/7

Answer:

the answer is c 6/21

Step-by-step explanation:

can i please have brainiest

Answer:

5

Step-by-step explanation:

three plus two equals 5

Answer:

5

Step-by-step explanation:

3+2=5

:3

Answer:

Step-by-step explanation:

the gcf of that is X

Answer:

6x+42

Step-by-step explanation:

So by, "5x+9 , 3x+12" I'm assuming you mean the length and the width.

The perimeter of a rectangle is 2(l+w), so if you put the values in, you get...

2(5x+9+3x+12)

2(8x+21)

6x+42, which is your answer.

Answer:

false

Step-by-step explanation:

Answer:

false because the absolute value of -9 would be 9 not negativ 9

Answer:

y=-3/4x+0

Step-by-step explanation:

Answer:

a = 730.43

Step-by-step explanation:

The formula for this type of problem is [ a = kb²/c³ ].

We are given a = 171, b = 8 and c = 9.

Solve for k.

171 = k(8)²/(9)³

k = 1947.80

Solve for a since we found k using b = 9 and c = 6.

a = (1947.80)(9)²/6³

a = 730.425

Round to the nearest hundredth.

730.425 → 730.43

Best of Luck!

Answer:

730.42

Step-by-step explanation:

a varies directly with the square of b, and inversely with the cube of c.  Therefore:

a = k b² / c³

where k is the constant of proportionality.

a = 171 when b = 8 and c = 9.  So the value of k is:

171 = k (8)² / (9)³

k ≈ 1947.8

So the value of a when b = 9 and c = 6 is:

a = 1947.8 (9)² / (6)³

a ≈ 730.42

Answer: 108? I think haha-

Answer:

39

Step-by-step explanation:

6x6 is 36, and plus 3 it equals 38.

Add one.

39.

Answer:

Step-by-step explanation:

Answer:

$158.60 for the racquet

Answer:

y=-10x

Step-by-step explanation:

m=-10

For (1,-10) a=1  AND  b=-10

(use the formula y-b=m(x-a) to find the equation of the line)

y-b=m(x-a)

(sub the values of m (the slope) and a&b (from the point)

y - (-10) = (-10) × ( x - 1 )

(simplify)

y+10=-10(x-1)

(expand the bracket)

y+10=-10x+10

(subtract 10 for both sides)

y=-10x+10-10

(simplify)

y=-10x

Answer.

Y=|10x-100|+5

Answer:

$105.60

Step-by-step explanation:

I think...

I think the answer is 2q+2r

Answer:

ylyiky lio

Step-by-step explanation:

Answer:

25+4=29

thats your answer

PLEASE MARK AS THE BRAINLIEST

Answer:

29

Step-by-step explanation:

x^2+4

Let x= 5

5^2 +4

25+4

29

Answer: 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

add all internal angles

∠H + ∠I + ∠J = 180

equation: 3x - 2 + 4x - 9 + 3x - 9 = 180

combine similar terms: 3x + 3x + 4x = 180 + 2 + 9 + 9

simplify: 10x = 200

divide 10 both sides: x = 20

Answer:

2/5

Step-by-step explanation:

Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.

Answer:

[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]

3% Although I'm probably wrong.

Answer:

Step-by-step explanation:

Answer:

sorry man but I don't understand what we have to complete, is it x? and if x is what we have to find, what does the and 4 mean? if you can upload a photo it would be better.

Step-by-step explanation:

wish you luck

Answer:

-79 + 5 i

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(6+4i)+(8-9i)+(-2+i)

6+4i+8-9i-2+i

6+8-2+4i-9i+i

12-4i

Answer:

at 5 hours he will have traveled 400 mi

Step-by-step explanation:

320÷4= 80

320=4, then 400=5

hope this helps

Answer:

x = 1/6 (h(2) - 9), h(2) element R

Answer:

$89.70

Step-by-step explanation:

To solve this equation, let's formulate a linear equation.

Let [tex]b[/tex] equal bags of mulch.

Let [tex]t[/tex] equal the total amount.

We know the price of each bag of mulch ($4.98), so we can represent this as:

[tex]4.98b[/tex]

We also know that there's a fee of $15, so we can just represent this as:

[tex]15[/tex]

Let's put these values into an equation:

[tex]t=4.98b+15[/tex]

Now with an equation, we know that she purchases a total of 15 bags, so let's substitute [tex]15[/tex] for [tex]b[/tex]:

[tex]t=4.98(15)+15[/tex]

Multiply:

[tex]t=74.70+15[/tex]

Add:

[tex]t=89.70[/tex]

_

Check your work by substituting the total amount into the initial equation:

[tex]89.70=4.98b+15[/tex]

Subtract [tex]15[/tex] from both sides of the equation:

[tex]74.70=4.98b[/tex]

Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]4.98[/tex]:

[tex]15=b[/tex]

Amber did in fact purchase 15 bags, so we know our total amount is correct!