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

Answers

Answer 1

Hello! :)

[tex]\large\boxed{q = -3.4}[/tex]

-13(q + 4) = 7q + 16

Distribute the coefficient outside of the parenthesis:

-13(q) - 13(4) = 7q + 16

Simplify:

-13q - 52 = 7q + 16

Isolate for q by subtracting 7q from both sides:

-13q - 7q - 52 = 7q - 7q + 16

-20q - 52 = 16

Add 52 to both sides:

-20q - 52 + 52 = 16 + 52

-20q = 68

Divide both sides by -20:

-20q / (-20) = 68 / (-20)

q = -3.4

Answer 2
AnswEr :

⠀⠀⠀⠀

The value of q is -3.4

⠀⠀⠀⠀

______________________

⠀⠀⠀⠀

➤ How to solve ?

⠀⠀⠀⠀

That's quite easy but you need to recall the BODMAS rule .

⠀⠀⠀⠀

BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction

⠀⠀⠀⠀

In this equation we will solve the bracket then we will apply further BODMAS rule

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

SolutiOn :

➠ - 13 ( q + 4 ) = 7q + 16

➠ -13q - 52 = 7q + 16

Now, we will bring the variable on left hand side and constants on right hand side

➠ -13q - 7q = 52 + 16

➠ -20q = 68

➠ q = 68/ -20

➠ q = 34/-10

As we have 10 in the denominator we can directly put the decimal .

➠ q = -3.4

∴ The value of q is - 3.4.

━━━━━━━━━━━━━━━━━


Related Questions

Raju took 5/6 h to complete his mathematics homework. He took 1/5 h less to complete his english homework. how many hours did raju take to complete his english homework? what was the total time spent by raju on his homework?

Answers

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


Twice the square of a number is less than another number. Negating the square of that number and adding 5 causes
it to be larger than the other number. Which represents the solution set?

Answers

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

How to represent the solution set?

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

Mathematically, the statements in the questions are:

2x^2 < y-x^2 + 5 > y

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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this is it guys thx!✨

Answers

Answer:

It's D: 16

Step-by-step explanation:

One ninth of the students in Mr. Beck’s class list red as their favorite color. Twice as many students call blue their favorite, and three times as many students prefer pink. The rest name green as their favorite color. If 6 students call blue their favorite color, how many students are in Mr. Beck’s class?

Answers

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

At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?

Answers

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

I really need help with this badly

Answers

4/5 as a percent is 0.8%
The answer is 0.8 sorry if your get it wrong

Which letters shown below on the number line also have their opposites labeled

Answers

Where’s the number line .

I need help with this please.

Answers

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!!

Leave your answers as a fraction or improper fraction.

Answers

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:

can someone help show my work HAHAHAHA its due today

Answers

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

i am not sure if it is suppose to be a total of 180 degrees or 90 degrees . pls help

Answers

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

Which polynomials have 2 roots

Answers

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.

PLEASE HELP!!!!
i need help on all of these but if you only have 1 answer that’s still great

Answers

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

tom started his hike at 2:15pm. he arrived at his destination at 4:30pm. how long did he hike??

Answers

Answer:2:15 minutes is how long he hiked

Step-by-step explanation:

Answer: 2 hours and 15 minutes

Step-by-step explanation:

there are 84 calories in 100g of banana there are 87 calories in 100g of yoghurt priti has 60 g of banana and 150g of yoghurt for breakfast work out the total number of calories in this breakfast ​

Answers

It’s 128 or 129 either or works tbh

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

Learn more:

https://brainly.com/question/18087985?referrer=searchResults

Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many pieces of gum did Greg win?

Answers

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

There are 20 kids in her class. 88-8 = 80 80 divided by 4 = 20

Hello! I need help ASAP. Can anyone help please?
(reward: 19 points, brainliest, 5 rating)

Two groups of people need to get across a lake. The first group has 36 people. Its boats can carry 5 passengers. The second group has 24 people. Its boats can carry only 4 passengers.

Which group needs more boats?
follow the steps to solve the problem.

1. Group 1 is represented by the equation 5x = 36. Solve this equation for x. Show your work.

2. How many boats does group 1 need? Explain your answer.

3. Write and solve an equation to find how many boats group 2 needs. Show your work.

Answers

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 :)

Find the result when 5 + 2 is subtracted from 9m

Answers

Answer:

-2m

Step-by-step explanation:

It is 2m merry Christmas


Someone please help me !!! 100 points must show work !

Answers

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

Step-by-step explanation:

Connect the dots

222222222222+567954444=???

Answers

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

find the missing angle
a) 85 degrees
b) 65 degrees
c) 75 degrees
d) 70 degrees

Answers

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

Determine if the pair of lines are parallel perpendicular or intersecting

Answers

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

What is an Equation of a line?

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

To learn more about equation of line click :

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Somebody help me.. Make sure it's right.

Answers

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.

Brainliest? Thanks!

One year after you buy a tree, it is 4 feet tall. Each year after you buy the tree, it grows 1.75 feet. Write a function that represents the arithmetic
sequence. How long does it take for the tree to reach its maximum height of 18 feet?

Please help!!

Answers

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

What Is The Answer To This Problem (-8) + 12 =

Answers

Answer:

4

Step-by-step explanation:

find the values of x and y

Answers

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

Abdul buys dress pants from a clothing Company for P dollars he sells each pair of pants in his men's clothing shop at 40% markup select all the expressions below represent the new retail price of a pair of dress pants

Answers

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

The seventh grade enrollment at Main Middle School reduced from 615 students to 492 students. By What percentage was the number of students reduced?

Answers

Answer:

492 *100/625 =80 %

Step-by-step explanation:

Where [*]= Multiply

For f(x) = -4 - 6x, find f(5)

Answers

Answer:

-34

Step-by-step explanation:

Insert the 5 into the place of the X.

Then solve:

-4 - 6(5)

= -4 - 30

= -34

The answer is -34, the equation is asking what the output would be if x were to equal 5. -6 multiplied by 5 equals -30, then -4 and -30 combined is -34

Help please its not 4/9ths

Answers

the answer is -16 because a perfect square can’t be negative

Answer:

-16

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

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