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
Taylor tried to solve an equation step by step.
polet [3.4K]
B: step 2
You need to multiply the 7 with the 4.5
3 0
2 years ago
Jake can make 2 airplane models in 3 hours. At this rate, how many models can Jake complete 7 ½ hours?
Charra [1.4K]

Answer:

5

Step-by-step explanation:

7.5/3= 2.5

2.5 x 2 = 5

8 0
2 years ago
Read 2 more answers
Earth travels about 66,600 miles per hour as it revolves around the Sun. How far does Earth travel in 15 seconds?
o-na [289]

Step-by-step explanation:

Miles travelled in 1h=66600

Miles travelled in 1 sec=66600/3600

=18.5miles

Miles travelled in 15 seconds =18.5×15

=<em><u>277.5miles</u></em>

4 0
3 years ago
Read 2 more answers
Jake is comparing the prices of two laundry service companies. Company A charges $20 per load and an additional $8 as service ch
svet-max [94.6K]
X = number of loads
company A : 20x + 8
company B : 24x + 4

20x + 8 = 20(5) + 8 = 100 + 8 = 108 (company A)
24x + 4 = 24(5) + 4 = 120 + 4 = 124 (company B)
company A charges less

20x + 8 = 20(9) + 8 = 188
24x + 4 = 24(9) + 4 = 220
220 - 188 = $ 32 bucks is saved by using company A

8 0
3 years ago
Read 2 more answers
What 3 integers add up to 153
iris [78.8K]
51, 51, 51 153 divided by 3 is 51. If you want different ones u could do:
50, 49, 54
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the y-intercept of the line shown?
    12·2 answers
  • Write the equation in POINT-SLOPE FORM of the line that passes through the points (4, 0) and (-2, 1).
    5·1 answer
  • How to make 10 when adding 8+5
    7·1 answer
  • Sixty-three people participated in a study to see if they were left-brain dominant or right-brain dominant. In the study, the pe
    7·2 answers
  • Gus is making 48 oz of spiced cider. If he serves an equal amount to 7 people will each person get more than 1 cup of cider or l
    12·1 answer
  • A contestant on a game show receives -25 points for each wrong answer. What integer represents the change in points after 3 wron
    10·1 answer
  • Find any rational root of P(x).<br><br> p(x) = x^3 + 5x^2 + x + 5
    14·1 answer
  • Solve using algebreic methods y=x^2+5x, y=7-x
    15·1 answer
  • Help me im dying and i
    10·2 answers
  • Pls helppppp I need answers now I’ll mark you as brainlist
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!