For what value of q is the equation –13(q + 4) = 7q + 16 true?

Answer:

n = -6

x = -7

n = 27

Step-by-step explanation:

Question 1

-3n - n + 12 = 36

First we get all the variables to one side using subtraction property of equality.

-3n - n + 12 (-12) = 36 (-12)

-4n = 24

divide by the coefficient of n to isolate the variable

-4n/-4 = 24/-4

n = -6

Question 2

-2x - 3x - 15 = 20

-5x - 15 = 20

-5x = 35

x = -7

Question 3

3 + n/9 = 6

Isolate the n variable

n/9 = 6 - 3

multiply by 9

n = 27

Answer:

1. n = -6

2. x = -7

3. n = 27

Answer:

Step-by-step explanation:

[tex]\dfrac{4}{9}=\left(\dfrac{2}{3}\right)^2\\\\25=5^2\\\\121=11^2\\\\-16<0!!![/tex]

The square of each real number is non-negative

Answer:

222790176666

Step-by-step explanation:

`=¢✓¢¥✓¢[¥[wbwhdhnwjde

Answer: this took quite a w h i l e but.........

Step-by-step explanation:

.......................................................................

22,790,176,666

Answer:

61=x cortical opposite angle

61=y corresponding angle

Answer:

61=x and 61=y

Step-by-step explanation:

I think that bout right

Answer:2:15 minutes is how long he hiked

Step-by-step explanation:

Answer: 2 hours and 15 minutes

Step-by-step explanation:

Answer:

It's D: 16

Step-by-step explanation:

Answer:

1. y= 2/3x + 4, and y = 2/3x - 1 are parallel

2. y = 1/3x - 3  and y = 2x + 5 are perpendicular

3. y =2/5x +4 and y = 0.2x - 1 are intersecting

4. y = -x + 13 and y = x-14 are perpendicular

Step-by-step explanation:

The equation of lines are solved and parallel lines are

a) y = 2/3x + 4 , y = ( 2/3 )x - 1

Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5

Intersecting lines

a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

y = 2/3x + 4 , y = ( 2/3 )x - 1

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 2/3

So , the slopes of the two lines are same and they are parallel lines

And , y = -( 1/2 )x - 3 , y = 2x + 5

The slopes are negative reciprocals of each other , so they are perpendicular lines

Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

Hence , the equation of line is solved

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Answer:

$P + 0.4P or 1.4P

Step-by-step explanation:

Given that:

Cost of dress pants = $P

Markup on cost price = 40%

The new retail price of a pair of dress pant :

(Cost price of the dress pant + markup on cost price)

$P + 40% of P

$P + 0.4P

New retail price = $P + 0.4P = 1.4P

Answer:

Soda tax — Should people have to pay an extra tax on soda or junk food?

Your conversation should include the following:

A total of at least five entries for each side (10 entries total—two to three sentences each)

Accurate facts used to support both perspectives

At least two properly cited sources used for research

Step-by-step explanation:

using basic math I think it would be about 11 to 11 1/2 years

Answer:

It will take 8 years for the tree to reach 18 feet

Step-by-step explanation:

I wrote the equation 18=4+1.75x,that's all I know

Answer:

Both groups need more boats

1.) 5x=36

36/5

=7.2 boats

2.) 7.2 but you can't split a boats nor can you decrease the amount of people so 8 boats.

3.)4x=24

24/4

=6 boats

I hope this helps u :)

Answer:

492 *100/625 =80 %

Step-by-step explanation:

Where [*]= Multiply

Answer:

27

Step-by-step explanation:

this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right

Step-by-step explanation:

Since it is a regular pentagon, all five sides are equal and you know one side is x-3. Thus the equation would be: x-3 = 18.8/5

x - 3 = 18.8/5

       = 3.76

x = 3.76 + 3

x = 6.76

Total calories intake of Priti is 180.9 calories

Given that;

Number of calories in 100g banana = 84 calories

Number of calories in 100g yoghurt = 87 calories

Amount of banana and yoghurt Priti have = 60g and 150g respective

Find:

Total calories intake of Priti

Computation:

Total calories intake of Priti = 60[84/100] + 150[87/100]

Total calories intake of Priti = 50.4 + 130.5

Total calories intake of Priti = 180.9 calories

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Answer:

English homework = 19/30h or 38 minutes

Total time spent = 22/15h or 88 minutes

Step-by-step explanation:

Mathematics homework = 5/6h

= 5/6 × 60

= 300/6

= 50 minutes

He took 1/5 h less to complete his english homework.

English = 5/6h - 1/5h

= 25h-6h/30

= 19/30h

= 19/30 × 60

= 1,140/30

= 38 minutes

English homework = 19/30h or 38 minutes

Total time spent on his homework = mathematics homework + English homework

= 5/6h + 19/30h

= 25h+19h/30

= 44/30h

= 22/15h

= 22/15 × 60

= 1,320 / 15

= 88 minutes

Answer:

-2m

Step-by-step explanation:

Answer: Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Step-by-step explanation:

Let x = price of the Novel.

Price of Math Textbook = 8+3x

As per given , we have

Price of Math Textbook + Price of the Novel = $54

⇒ 8+3x+x = 54

⇒ 8+4x=54

⇒ 4x = 46     [subtract 8 from both sides]

⇒ x = 11.5

Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5

Hence, Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Answer:

d

Step-by-step explanation:

took it on edg

The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y

First, we represent the mathematical statements as an equation or inequalities

Mathematically, the statements in the questions are:

Where x and y represents the two numbers

So, we plot the graphs of 2x^2 < y and -x^2 + 5 > y

The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y

Read more about inequalities at:

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Answer:

20 students

Step-by-step explanation:20 students cos 88 divided by 4 =22 and it said she had 8 left so 20 student in her class

Answer:

It’s D

Step-by-step explanation:

Answer:

it's D because if we add all number and subtract it with 360 it will be 70

Answer: x is c center w and y are b center

Step-by-step explanation:

Connect the dots

Answer:

the answer is c I believe

Step-by-step explanation:

5(10) 50 + 25 is 75 equals 25 and 10 + 5 is 15 so 75 + 15 is 90. so the answer is c

Answer:

1) B

2)A

Step-by-step explanation:

1) The only on that made sense really!

2) Also the only one that made sense!

Answer:

5.) b

6.)a

Step-by-step explanation:

5.) b

3x - 24 = 81 (add 24 on both sides)

3x = 105 (divide by 3 on both sides)

x = 35 or 105/3

6.) a

-5x - 25 = 78 (1st add 25 on both sides)

-5x = 103 (2nd divide both sides by -5)

x = -20.6

Hope this helps ya!!

Answer:

4

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Option A

x² - 3x² + 2x² = 0

Therefore, the given polynomial has no roots.

Option B

x² + 2x + 8

By quadratic formula,

x = [tex]\frac{-2\pm \sqrt{4-32} }{2}[/tex]

  = [tex]\frac{-2\pm \sqrt{-28} }{2}[/tex]

Therefore, roots are imaginary and for a polynomial with degree 1 or more than 1, both the roots can't be imaginary.

So the polynomial can't have exactly two roots.

Option C

99x³ - 33x + 1

Since the polynomial is of degree 3, so it will have three roots.

Therefore, the polynomial will not have exactly 2 roots.

Option D

√2x - 3x² + 7√2

By quadratic formula,

x = [tex]\frac{-\sqrt{2}\pm\sqrt{(\sqrt{2})^2-4(-3)(7\sqrt{2} )}}{2(-3)}[/tex]

x = [tex]\frac{-\sqrt{2}\pm\sqrt{2+84\sqrt{2} )}}{(-6)}[/tex]

There are exactly two real roots.

Therefore Option D is the answer.

Option E

4x + 11x - 111

Since this polynomial is of a degree 1.

There will be only one root.

I am the one who commented on your question "Who's good at Math", I am the locrival one to be specific but for me, the answer would be the first choice which is the "f(x)=400+15(x-40)". The first choice is my answer because if you compute it the equivalent is 13.3, it is also my answer because for all the choices, it is the only one positive.

Answer:

-34

Step-by-step explanation:

Insert the 5 into the place of the X.

Then solve:

-4 - 6(5)

= -4 - 30

= -34