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

what is the simplified radical form for sqrt(36)?

Answers

answer is: sqrt is 6

Ms. Williamson woke up one morning to find her basement flooded with water. She called two different plumbers to get their rates. The first plumber charges $36 just to walk in the door plus $28 an hour. The second plumber charges a flat $64 an hour.


a. What is the cost for each plumber if the job takes four hours?


b. How many hours did the first plumber take to do the job if he charged $176?


c. After how many hours will the cost for both plumbers be the same?

Answers

Answer:

A. $148 for the first plumber for 4 hours. $256 for the second plumber for 4 hour

B. He did 5 hours

C. 1 hours because the flat rate plus the hourly fee adding it together will equal 64.

Step-by-step explanation:

Your welcome

A tennis team bought 5 tennis rackets that usually cost $45.00 each at a discount of 65% per
racket. How much did the team spend for the 5 tennis rackets, before tax?
WHO WANTS BRAINLIEST ANSWER??

Answers

Answer: $78.75

Work:

45x5=225

45x0.65=29.25

29.25x5=146.25

225-146.25=78.75

What should you do during the editing stage of the writing process?

Answers

Check for typos, proper grammar (commas, capitalization, tense) you can also check for words that could be replaced with more advanced synonyms to make your writing more formal.

$1.29 + $2.52+$2.23+$1.50.
please help ​

Answers

Answer:

$7.54

Step-by-step explanation:

Answer:

$7.54

Step-by-step explanation:

you solve by adding all the money together

Please help you have to find the sides and stuff help plssss

Answers

Answer:

A) The side is 14 cm

B) The total distance around the whoole board is 56 cm

Step-by-step explanation:

So we know its a square.

A square is all equal sides

We got the area which is 196

So we know area of a square is L*W or S^2

And since all sides are equal we can square root 196

That would give you 14

So we know each side is 14

Part B is just perimeter, there are 4 equal sides so we can just multiply 14*4 which is 56.

CHECK:

So we want to check the sides are equal

Each side is 14

and area is 196

14*14=196

So its true

Answer: 14cm and 56cm

Step-by-step explanation:

14 x 14 is 196 for a

14 x 4 is 56 for b

This is also urgent

Answers

Answer:

$5004

Step-by-step explanation:

.4% of 5000 is $4 and adding that to 5000 makes the end result $5004

AM NEVOIE DE REZOLVARE URGENT!!!

Answers

Answer:

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Which of the following is equivalent to 3x-5y=20?

A. Y=3/5x-4
B. Y=-3/5x-4
C. Y=3/5x+4
D. Y=-3/5x+4

Answers

Answer:

A. Y=3/5x-4

Step-by-step explanation:

with the original equation, subtract -3x.

with your new equation, divide by -5.

that should give you your answer

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Answers

Answer: 4

Step-by-step explanation: yup

Answer:

4

Step-by-step explanation: 2 finger another 2 fingers B O O M  4

On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
A: 1 hour 3 minutes
B: 1 hour 16 minutes
C: 1 hour 35 minutes
D: 2 hours 30 minutes

Answers

Answer:

Step-by-step explanation:

C is the correct answer

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Answers

Answer:9

Step-by-step explanation:

The answer got to be 6. So 6+3=9

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C':
10
A
B
0
B
c
Which of the following completes the rule for this translation, (x, y) - (x + 8,_.)? (5 points)
Oy-8
Oy-3
O y + 8
O y + 3

Answers

Complete Question:

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A' B' C' are shown.

[tex]A = (-6, 10)[/tex]

[tex]B = (-7, 7).[/tex]

[tex]C = (-4, 6).[/tex]

[tex]A' = (2, 7).[/tex]

[tex]B' = (1, 4).[/tex]

[tex]C' = (4, 3).[/tex]

Which of the following completes the rule for this translation,

(x, y) → (x + 8, ___)?

Answer:

y - 3

Step-by-step explanation:

Given

See Complete Question

Required

Complete the rule of translation

Taking A and A' as a point of reference

[tex]A = (-6, 10)[/tex] and [tex]A' = (2, 7).[/tex]

By comparing the x coordinates of A and A'

[tex]-6 + k = 2[/tex]

Make k the subject

[tex]k = 2 + 6[/tex]

[tex]k = 8[/tex]

So, the x coordinate is translated by x + 8

Similarly,

By comparing the y coordinates of A and A'

[tex]10 + k = 7[/tex]

Make k the subject

[tex]k= 7 - 10[/tex]

[tex]k = -3[/tex]

So, the y coordinate is translated by y - 3

Hence, the complete translation is: (x + 8, y - 3)

Answer:B.y-3

Step-by-step explanation:

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Answers

Answer:

Did you get it correct

Patricia and her brother Ian help themselves to a pitcher of lemonade on the kitchen counter. Patricia takes a glass and fills it with p ounces of lemonade. Ian takes a bigger glass and pours himself 20% more lemonade than Patricia poured in her glass. Write an expression to represent the quantity of lemonade(in ounces) in Ian’s glass in terms of the quantity in Patricias glass (p).

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Part B-Write an expression in terms of p to represent the amount of lemonade (in ounces) Ian poured in his glass. Include two terms in your expression.

Part C- combine the like terms in the expression from part B to create an equivalent expression.

Part D- using the simplified expression you wrote in part C, and domain what it means to have 30% more of a given quantity.

Part E- suppose that Patricia drinks one-fourth of the lemonade in her glass. Write an expression in terms of p that represents the number of ounces Patricia drank.

Part F- in part E, Patricia drank one-fourth of the lemonade in her glass. Write and expression in terms of p that represents the number of ounces Patricia has left in her glass. Include two terms in your expression.

Part G- combine the like terms in the expression from part F to create an equivalent expression.

Part H- using the simplified expression you wrote in part G, explain what it means to have 1/4 less of given quantity.

Please help me I’m struggling on this!

Answers

Answer:

Part A: 0.20p or 0.2p (doesn't matter which one you use)

Part B: p + 0.2p

Part C: p + 0.2p = 1p + 0.2p =

   1.2p

Part D: increasing a quantity by 20% is the same as multiplying the quantity by 1.2

Part E: 1/4p ounces

Part F: p - 1/4p

Part G: = 3/4p

Part H: decreasing a quantity by 1/4 is the same as multiplying the quantity by 3/4

Step-by-step

3mn = ?

m to the power of 2 + 3n = ?

Answers

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Step-by-step explanation:

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Answers

Answer:

hi its me again :3

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Step-by-step explanation:

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Answer: 1.)  Two ordered pairs (The first Box)                       2.) M (second Box)                      3.) B (The last box)

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Each month the fire department hosts spaghetti feed. This month, 26 people attended the spaghetti feed. This was 2 more than twice as many people than were at the spaghetti feed last month. Write and solve an equation to determine how many people attended last month's spaghetti feed.

Answers

Answer:

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Carlos says that the XYZ is not congruent to PQR because there is no SSA theorem or postulate.


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Answers

Carlos is correct

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Step-by-step explanation:

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A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2​, what are the base and height of the​ triangle?

The base is....and the height is......

Answers

Area = (base times height) / 2

Can rewrite it as

A= b * h * 1/2

16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64

Base = 4
Height = 8

Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)

The base of the triangle is 4 m and the height of the triangle is 8 m.

What is the area of the triangle?

The are of the triangle is A = 1/2 × b × h

where 'b' is the base and 'h' is the height

For given example,

A triangle has a base of x^1/3 m and a height of x^1/2 m.

Also, the area of the triangle is 16 m^2​

⇒ [tex]b = x^{\frac{1}{3}} ~m,h=x^{\frac{1}{2} }~m, A=16~m^{2}[/tex]

Using the formula for area of the triangle,

[tex]\Rightarrow A=\frac{1}{2}\times b\times h\\\\\Rightarrow 16=\frac{1}{2}\times x^{\frac{1}{3} }\times x^{\frac{1}{2} }\\\\\Rightarrow 16\times 2=x^{\frac{1}{3} + \frac{1}{2} }\\\\\Rightarrow 32=x^{\frac{5}{6} }\\\\\Rightarrow 32^6=(x^{\frac{5}{6} })^6\\\\\Rightarrow 32^6=x^5\\\\\Rightarrow x=32^{\frac{6}{5}}\\\\\Rightarrow x=64[/tex]

So, the base of the triangle would be,

[tex]\Rightarrow b=x^{\frac{1}{3} }\\\\\Rightarrow b=64^{\frac{1}{3} }\\\\\Rightarrow \bold{b=4}[/tex]

and the height of the triangle would be,

[tex]\Rightarrow h=x^{\frac{1}{2}}\\\\\Rightarrow h=64^{\frac{1}{2} }\\\\\Rightarrow \bold{h=8}[/tex]

Therefore, the base of the triangle is 4 m and the height of the triangle is 8 m.

Learn more about the area of the triangle here:

https://brainly.com/question/27683633

#SPJ2

What is y + 5 = 7(x– 8) written in standard form?
Choose 1 answer:
A) x-7y=-61 B)-7x+y=-61 C) x+7y=-61
D) 7x + y = -61

Answers

Answer:

B)-7x+y=61

Step-by-step explanation:

y + 5 = 7(x– 8)

y + 5 =(7xX)(7x-8)

y + 5 =(7x)(-56)

y – 5 =(7x)(-56+-5)

y=7x-7x-61/

-7x+y=-61

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Answer:

uh

Step-by-step explanation:

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Answer:

C

Step-by-step explanation:

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A = 48° and B = 4x + 4.
С
x = [?]

Answers

Answer:

b= 11

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Step-by-step explanation:

equation for b-

48 = 4x + 4

48-4 = 44

44 / 4 = 11

11 = b

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Answers

Answer:

it can and cant at the same time.

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what is 621 divided by 9

Answers

Answer:

621/9=69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

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