1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fredd [130]
2 years ago
7

Seven times the opposite of a number is 50 less than 3 times the number. What is the number?

Mathematics
2 answers:
Kazeer [188]2 years ago
8 0

<u>Question</u> :-

  • Seven times the opposite of a number is 50 less than 3 times the number. What is the number?

<u>Explanation</u> :-

  • Let the number be " x. "

According to the question, it's given –

Seven times the opposite of a number is 50 less than 3 times the number.

We've assumed that the number is x. So, opposite of the number will be -x.

\qquad\pink{ \bf  \longrightarrow 7(-x) = 3x-50}

Now, let's solve this equation –

\qquad\bf  \longrightarrow 7(-x) = 3x-50

\qquad\sf  \longrightarrow -7x = 3x -50

Subtract 3x from both side –

\qquad\sf  \longrightarrow -7x -3x = 3x -50-3x

Cancel 3x from right side –

\qquad\sf  \longrightarrow -7x -3x =\cancel{ 3x} -50-\cancel{3x }

\qquad\sf  \longrightarrow -10x = -50

Now, cancel (-) sign from both side –

\qquad\sf  \longrightarrow \cancel{-}10x = \cancel{-}50

\qquad\sf  \longrightarrow 10 x = 50

Then, divide both sides by 10 –

\qquad\sf  \longrightarrow \dfrac{10x}{10} = \dfrac{50}{10}

\qquad\sf  \longrightarrow \dfrac{\cancel{10}x}{\cancel{10}} = \cancel{\dfrac{50}{10}}

\qquad\pink{ \bf  \longrightarrow x = 5 }

  • Henceforth, the number will be 5.
almond37 [142]2 years ago
6 0

Answer: The number is 5

Creating an Equation:

      First, we will need to write a mathematical equation that represents the problem.

-> If <em>n</em> is our number, then the opposite of <em>n</em> is -<em>n</em> because -1 times -n is n and -1 times n is -n

-> The underlined portion becomes a part of our equation in the next line.

<u>Seven times the opposite of a number</u> is 50 less than <u>3 times the number</u>

7 * -<em>n</em> is <u>50 less than 3</u><u><em>n</em></u><u> </u>

7 * -<em>n</em> <u>is</u> 3<em>n</em> - 50

7(-<em>n) </em>= 3<em>n</em> - 50

Solving for the Number:

7(-<em>n) </em>= 3<em>n</em> - 50     =|=     Our equation

-7<em>n</em> = 3<em>n</em> - 50       =|=     Distribute the 7 into -<em>n</em>

-10<em>n</em> = -50            =|=     Subtract 3<em>n</em> from both sides of the equation

n = 5                     =|=     Divide both sides of the equation by -10

Our number is <u>5</u>

You might be interested in
A two-word phrase used to show division in a word problem.
fomenos
Division phrases:
-divided by
-percent of
-ratio of <span />
5 0
3 years ago
Read 2 more answers
If f(1) = 7 and f(n) = 5(n-1) + 2, then f(4) =
Igoryamba

Answer:

17

Step-by-step explanation:

f(n)=5(n-1)+2

f(4)=5(4-1)+2

=5×3+2

=17

hope it helps

plz. mark as brainliest

4 0
3 years ago
The base of a triangle is 13cm and its height is 5cm. what is the area of the triangle
mario62 [17]

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

3 0
3 years ago
The figure shows the letter T and four of its transformed images -A, B, C, and D:
laila [671]

Answer:

Come all bad girls to see and show

see d and show b and p

bqn-fozw-cbf

5 0
3 years ago
Use the diagrams at the right to find the trigonometric ratio
zzz [600]
Hi, It is simple:

Sin(A) = a / c

Cos(A) = b / c

Tan(B) = b / a

Sin(J) = j / i

Cos(K) = j / i

Tan(K) = k / j


This are the answers
8 0
3 years ago
Other questions:
  • If a company provides 1 1/4 vacation days to its employees every month, how many vacation days does an employee get every year?
    14·1 answer
  • Can Someone Help Please.
    9·1 answer
  • In the diagram below , what is the value of a?
    7·1 answer
  • The solutions of x^2=16x-28 are
    10·1 answer
  • – 2(2x 8) + 4 = 3(x + 4)
    6·1 answer
  • Help!!! ASAP!!!!!!!!!!!!! 50 POINTS GOING ONCE GOONG TWICE
    9·1 answer
  • Helloo!!! please help me on this !!!!
    14·1 answer
  • Pls help me <br><br> Evaluate the expression when =n5. −n216
    11·2 answers
  • Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the co
    6·1 answer
  • A survey of birds in Forests A and B counted the number of robins and sparrows. Use the resulting frequency table to find each p
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!