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
Drupady [299]
3 years ago
8

2.7x -9 = x +7.5 need the answer can't find solution.

Mathematics
2 answers:
Montano1993 [528]3 years ago
6 0

Answer:

x = 9.7

Step-by-step explanation:

2.7x -9 = x +7.5

2.7x - x = 7.5 + 9

1.7x = 16.5

x = 16.5/1.7

x = 9.7

andrew11 [14]3 years ago
6 0

Answer:

x = 9.70588

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

2.7x - 9 = x + 7.5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract <em>x</em> on both sides:                    1.7x - 9 = 7.5
  2. Add 9 on both sides:                           1.7x = 16.5
  3. Divide 1.7 on both sides:                     x = 9.70588

<u>Step 3: Check</u>

<em>Substitute in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    2.7(9.70588) - 9 = 9.70588 + 7.5
  2. Multiply:                               26.2059 - 9 = 9.70588 + 7.5
  3. Subtract/Add:                      17.2059 = 17.2059

Here we see that 17.2059 does indeed equal 17.2059.

∴ x = 9.70588 is a solution of the equation.

You might be interested in
The equation of line f is y = 1/4x -1. line g includes the point (1,-6) and is perpendicular to line f . What is the equation of
Gwar [14]
Y=-4x+b
-6=-4+b
-2=b
y=-4x-2
7 0
3 years ago
Use x = 3 to identify the value of each expression.<br><br> Exponent Value of expression
natta225 [31]
Dddd$$c &fguhvhjhhujgih’h
5 0
3 years ago
What is 60 increased<br> by 20%
valina [46]

Answer:

72.00

Step-by-step explanation:

hope this helps! :D

8 0
3 years ago
Practice test
mariarad [96]

Answer:

it's a rectangle so the area is 6×8=48

3 0
3 years ago
Read 2 more answers
The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A
Aloiza [94]

Answer:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

\mu=37 and \sigma=28  and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

4 0
3 years ago
Other questions:
  • An athlete with mass m running at speed v grabs a light rope that hangs from a ceiling of height H and swings to a maximum heigh
    6·1 answer
  • I need to find A and C
    5·2 answers
  • What is 3 2/5 minus 1 9/10
    14·2 answers
  • Please help right in <br>y=mx+b form
    6·1 answer
  • Hayden lives in Jefferson City, MO, which has a population of 48, 838. He says Kansas City's population is about
    6·1 answer
  • Find the quotient below. Write the answer as a fraction in simplest form.
    7·1 answer
  • ————HELPPPPPPP———-
    8·1 answer
  • I need help adding and subtracting fractions. I dont really get how you change the denominations. ​
    6·1 answer
  • a golf course placed an order of 5075 golf balls if there are 7 balls in each package how many packages did the golf course orde
    5·1 answer
  • Solve the equation for all values of x by completing the square. 5x^2-70x=-230
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!