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
Papessa [141]
3 years ago
5

How to solve 6x - 9 - 2 (1 - x) = x + 9​

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

x = 2.857

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢  x =  \frac{20}{7}  \\ ⇢ x = 2.857

{ \bf{ \underbrace{To\:verify:}}}

6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times(  - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\  ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S

Hence verified.

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

You might be interested in
Tonla is saving $15.00 each week to buy a bicycle. The bicycle costs $129.99. Which inequality can be used to determine the numb
Alex

Answer:

15.00w < 129.99

hope it helps

6 0
3 years ago
3. When Sharon began shopping this morning, she had $40.00. She purchased five paperback books and had lunch. The books were all
vovangra [49]
A. $5.95 is the answer
6 0
3 years ago
Which of the following inequalities is not true?
Ede4ka [16]

Answer: -5<-8

Step-by-step explanation:

7 0
3 years ago
What expression is equivalent to 2^-3/2^-5?​
mr_godi [17]
2^2 , or 4
since the exponents have the same base, we can subtract the exponent of the numerator by the exponent in the denominator.

So 2^-3 - 2^-5 = 2^(-3-(-5)) = 2^2

The new exponent is 2 because -3-(-5) is equal to 2.

6 0
3 years ago
George Kyparisis makes bowling ball in his Miami plant. With recent increases in his cost, he has a newfound interest in efficie
Harlamova29_29 [7]

We compute the productivity percentage change of each category using the formula:

\text{\% Change }=\frac{\text{ Value now - Value last year}}{\text{Value last year}}\cdot100\%.

Productivity percentage change for each category

1) Units produced:

\frac{1,000-1,000}{1,000}\cdot100\%=0\cdot100\%=0\%.

2) Last (hours)

\frac{275-300}{300}\cdot100\%=-\frac{25}{300}\cdot100\%=-8.33\%.

3) Resin (pounded)

\frac{45-50}{50}\cdot100\%=-\frac{5}{50}\cdot100\%=-10\%.

4) Capital invested ($)

\frac{11,000-10,000}{10,000}\cdot100\%=\frac{1,000}{10,000}\cdot100\%=10\%.

5) Energy (BTU)

\frac{2,850-3,000}{3,000}\cdot100\%=\frac{-150}{3,000}\cdot100\%=-5\%.

2) Improvement for labour hours

From the previous computations, we see that the percentage change of the category "Last (hours)" has a negative value of -8.33%, which means that this value decreased by 8.33% with respect to the last year.

Answer

1) Productivity percentage change for each category

0. Units produced: ,0%

,

1. Last (hours): , -8.33%

,

2. Resin (pounded):, -10%

,

3. Capital invested ($): ,10%

,

4. Energy (BTU): ,-5%

2) Improvement for labour hours

The percentage change of the category "Last (hours)" has a negative value of -8.33%, which means that this value decreased by 8.33% with respect to the last year.

4 0
2 years ago
Other questions:
  • 2 doctors is _______% of 25 doctors
    15·1 answer
  • What are the solutions of the equation x^6-9x^3+8=0
    6·1 answer
  • What are the zeros of f(x) = x2 - x-30?<br> re the zeros
    13·1 answer
  • rosa earns 120 dollars per week at math tutoring each week she puts 36 dollars in her bank account what percentage of money does
    7·1 answer
  • What is the correct algebraic expression of the following statement?
    13·1 answer
  • Hello, I need help with these math questions, can someone help as soon as you can?
    9·1 answer
  • Harrison pays $22.36 each month for his phone bill.
    7·1 answer
  • Change the fraction to a decimal: 5/6 = _____
    15·1 answer
  • She spent 18.62 in grosherys she has 43.55 left how much did she have before she bought grashery
    8·1 answer
  • Use the line segments below to create a triangle with
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!