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
8090 [49]
3 years ago
7

Bernard solved the equation 5x+(-4)=6x+4 using algebra tiles.Which explains why Bernard added 5 negative x-tiles to both sides i

n the first step of the solution ?
Mathematics
2 answers:
jok3333 [9.3K]3 years ago
8 0

Answer:

To remove 5x and create and linear equation

Step-by-step explanation:

5x+(-4)=6x+4

The equation can be solved by arranging terms so that numbers can be on one side and other constants will be on the other side.

This is given by the associative rule that states:

(-5x) + 5x + (-4) = 6x +4 - 5x

giving:

-4 = x + 4

this gives, x= -8

Hence a linear equation with a solution.

Volgvan3 years ago
6 0
5x+(-4)-5x=6x+4-5x
-4=x+4
x=-8

To get rid of 5x on the left side.
You might be interested in
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
5) To find the slope of the trend line below, Riley chose<br> the points (1, 35) and (2, 25).
avanturin [10]
The slope of the trend line is -10
4 0
3 years ago
Please get it right and check<br><br><br>Double check
KiRa [710]

1468 in cubed ᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠ                                                                                                                                                                

5 0
3 years ago
Math Sequence help!!
julia-pushkina [17]
Hello here is a solution :

6 0
3 years ago
Emanuel has 745 pictures in his phone. His memory is getting full, so he starts deleting 20 pictures every day. Define each vari
hodyreva [135]
N = number of given days 
p = photos on phone

p - (20n) = 

4 0
3 years ago
Other questions:
  • A tree that is 3 feet tall is growing at a rate of 2 feet each year. A tree that is 13 feet tall is growing at a rate of 1 foot
    9·2 answers
  • The ratio of men to women working for a company is 5 to 6. If there are 209 employees total, how many men work for the company?
    9·1 answer
  • Given: 1/3 x+y= 15.
    12·1 answer
  • What is 0.285714 as a fraction not simplified
    12·1 answer
  • Find the geometric means in the following sequence. –14, ? , ? , ? , ? , –235,298
    15·1 answer
  • What is the area of the shaded region?
    15·2 answers
  • -8(y + 5) = -8y - 40 TRUE or FALSE
    5·1 answer
  • Please help im having trouble! ​
    13·1 answer
  • If x &gt; y, then will always be an integer.<br> True<br> Or false
    6·1 answer
  • Angle 2 is 2x+10 angle 4 is 4x+80 solve for x
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!