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
MakcuM [25]
3 years ago
5

What is the value of x in the equation 1.5(x + 4) - 3=4.5(x-2)

Mathematics
2 answers:
anyanavicka [17]3 years ago
8 0
Hi there!

The Eqn. is :-

1.5 (x + 4) - 3 = 4.5 (x - 2)

1.5x + 6 - 3 = 4.5x - 9

Combining the like terms :-

1.5x - 4.5x = - 9 - 6 + 3

- 3x = - 15 + 3

- 3x = - 12

x = \dfrac {- 12}{- 3}

x = 4

Hence, the required answer is → x = 4

~ Hope it helps!
rodikova [14]3 years ago
5 0
Hi there! The answer is x = 4.

Let's solve this equation step by step!
1.5(x + 4) - 3 = 4.5(x  - 2)

First we need to work out the parenthesis, which can for instance be done using rainbow technique.
1.5x + 6 - 3 = 4.5x - 9

First collect terms.
1.5x + 3 = 4.5x - 9

Subtract 3 from both sides
1.5x  = 4.5x - 12

Subtract 4.5x from both sides.
- 3x =  - 12

And finally divide both sides by -3.
x =  \frac{ - 12}{ - 3}  = 4

You might be interested in
PLEASE HELP ASAP!!!!
OleMash [197]

Answer:

y = -2x + 8

Step-by-step explanation:

The point slope form of an equation is written as

y = mx + c              ...............(i)

Where m is the slope and c is the constant

Now we Know that the equation is

y + 2 = -2(x-5)

and the given points are

m= -2

x = 5

and y= -2

Putting these values in equation (i) to find the value of c

y = mx + c

it becomes

-2 = -2(5) + c

-2 = -10 + c

Adding 10 on both sides

-2 + 10 = -10 + 10 + c

8 = c

or c=8

Now we have the values of m and c

where m= -2 and c = 8

Point slope form of an equation is

y = mx + c

putting the values of m and c to get equation in slope intercept form is

y = (-2)x + 8

or

y = -2x + 8


Other method:

The given point slope form is

y + 2 = -2(x-5)

We have to change it in y= mx + c      form

so solving it

y + 2 = -2x + 10

Subtracting 2 from both sides

y + 2 -2 = -2x + 10 -2

y = -2x + 8

which is same is

y=mx + c

so the required equation is

y = -2x + 8  

7 0
3 years ago
Find the measure of each angle indicated. HELPPP PLEASE
anzhelika [568]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 fee
Naddika [18.5K]

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle (A), measured in square feet, is determined by the following equations:

A = w\cdot l (1)

Where:

w - Width, measured in feet.

l - Length, measured in feet.

If we know that w = x, l = 2\cdot x and A = 160\,ft^{2}, then we get the following second order polynomial:

2\cdot x^{2}-160 = 0 (1)

And we solve the expression for x:

2\cdot x^{2} = 160

x^{2} = 80

x = \sqrt{80}\,ft

x \approx 8.944\,ft

Then, the dimensions of the pool are, respectively:

w \approx 8.944\,ft and l \approx 17.888\,ft

5 0
3 years ago
Please help me with this question <br><br> image attached
algol [13]

Answer:

Not enough information. For this to be SAS, the single tick mark would need to be located on the line CB and ED.

Step-by-step explanation:


6 0
3 years ago
Find <img src="https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7Bdy%7D%7Bdx%7D" id="TexFormula1" title="\sf \dfrac{dy}{dx}" alt="\sf \d
faust18 [17]

Hey there mate!

Please check the attached answer of picture for explanation.

Have \: a \: great \: day! \: :)

8 0
2 years ago
Read 2 more answers
Other questions:
  • IN AN ELECTION,10% OF THE VOTES WERE DECLARED INVALID. IF A CANDIDATE GOT 40% OF A VALID VOTES AND IF THE TOTAL NUMBER OF VOTES
    15·1 answer
  • A soccer field has an area of 7/8 square miles. The length of the field is 2/5 miles. What is the width of the soccer field?
    8·1 answer
  • I have $1.00 in coins. One-fifth of the coins are dimes, two-fifteenth are nickels, and two-thirds are pennies. How many of coin
    5·1 answer
  • Simply 8x squared + 5(7x squared- x) - 2x =
    5·1 answer
  • #3 please I don't understand
    11·2 answers
  • Gilda walks to the train station. If she walks at the rate of 3 mph, she misses her train by 7 minutes. However, if she walks at
    5·2 answers
  • Which correctly completes this number sentence?
    11·2 answers
  • How to solve this integration problem? the answer should be -π/12
    13·1 answer
  • (GIVING BRAINLIYEST)<br> 7. what is the volume of these 2 objects
    15·2 answers
  • In a sale the original price of a bag is reduced by 20% to $160. Calculate the original price of the bag​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!