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
Darya [45]
3 years ago
5

Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same numbe

r she originally thought of. What was Amrita's number?
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

You might be interested in
In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .
IgorLugansk [536]
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

8 0
3 years ago
I need clean and clear answers please!<br><br> Thank you
lina2011 [118]
Okay so we get: subtract m + 8 from 5m + 11

5m + 11 = 16 + m or 16m

16m - 8 +m or 8m = 8m or 8 + m

5 0
3 years ago
What is the equation of the line that passes through the points (−2,4) and (0,3)?
11Alexandr11 [23.1K]

Answer:

y=-1/2x+3

Step-by-step explanation:

5 0
3 years ago
All of the following are names of spheres shown except<br> Т<br> S<br> А
FrozenT [24]

Answer: Don't know sorry

Step-by-step explanation:

7 0
3 years ago
已知一个质点做变速直线运动的位移函数 s  3t 2  e2t , t为时 间,则在时刻t  2处的速度和加速度分别为
Natasha2012 [34]

Answer:

can't understand language

6 0
3 years ago
Other questions:
  • Dylan plans to eat 1/5of his candy bar. His friends want him to share the rest equally. Show how Dylan and his friends can each
    14·1 answer
  • Samir, a carpenter Spent $300 on specialty tools to make toy horses for children for each horse he makes he spent $75 on supplie
    15·2 answers
  • 2.3 is 46% of what number
    15·2 answers
  • In this diagram, how many points are coplanar with points A, B and R?
    11·2 answers
  • 4x+15 what is the value of X
    13·2 answers
  • Round the following numbers to the nearest 10<br> a) 83<br> b) 127<br> c) 245
    5·1 answer
  • HELP PLEASE GIVING BRAINLIST TO ANYONE WHO ANSWERS
    5·2 answers
  • Which number sentence is true?
    11·2 answers
  • The area of a rectangle varies jointly as its length and width. Find the equation of joint variation if A = 60ft², l = 15ft, and
    12·2 answers
  • Which of the Following illustrates how to find the difference of <br> 12a ^2b and —5a^2b?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!