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
frutty [35]
3 years ago
5

What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

You might be interested in
Can someone help me!!!!!!
Sholpan [36]
It's A since tangent is just opposite over adjacent, 12 is the opposite and 5 is the adjacent
7 0
3 years ago
Find the quotient. h^ 6 ÷h
Arada [10]
h^6:h=h^{6-1}=\boxed{h^5}
6 0
3 years ago
Read 2 more answers
Find a sum equivalent to the product shown.<br> 4(z + x)
Sergeeva-Olga [200]

Answer:

4z+4x

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Approximate value of arccos(0.36)
Alchen [17]
In degrees,

arccos(0.36) = 68.89980398 ≈ 68.9° 

In radians,

arccos(0.36) = 1.202528433 ≈ 1.20 
7 0
3 years ago
Can some one help me please
11111nata11111 [884]

Answer:

2x²√13

Step-by-step explanation:

Step 1:  When there is multiplication under a square root sign (also called a radical sign), you can rewrite the expression as the product of two square roots, like this...

√(52x^4)   can be rewritten as     (√52)(√x^4)

Step 2:  x^4 = x²x², so it's the same thing as saying (x²)², or "x-squared, squared".  Taking the square root of it leaves just x-squared, so this simplifies to

  (√52)x²

Step 3:  When taking the square root of a number that is not a perfect square, you need to do a factor tree to see if you can break the number up into a product of perfect squares, or a perfect square multiplied by a prime number.

52 is an even number, so we an at least divide by 2.  

        52/2  is 26, so we have

                  (26)(2)

2 is a prime number, so we don't break that down any further.

26 is even so it is also divisible by 2,

   26/2 is 13, so we have

     (13)(2)(2)

  which we can write as (13)(4)     (groups pairs of numbers together)

(2)(2) is 4, which results in a perfect square, so we can rewrite √52 as

      (√4)(√13),       since √4  = 2, we simplify this expression to

       2√13

So √(52x^4) breaks down to (√52)(√x^4), which further breaks down into

  (2√13)(x²)

We simplify the expression to 2x²√13

3 0
3 years ago
Other questions:
  • What are the factors of six
    10·2 answers
  • Factor completely 2x3 + 14x2 + 6x + 42.
    6·1 answer
  • 2x+y=1 9x + 3y = -3 The x-coordinate of the point of intersection is
    12·2 answers
  • In a class experiment, Sean finds that the probability that a student plays soccer is 12/25. If the school population is 300, ho
    6·1 answer
  • Over two summers, Ray saved $900 and $500. The polynomial 900x2 + 500x represents his savings at the beginning of the third year
    9·1 answer
  • This hanger is in balance. There are two
    14·2 answers
  • For each point on the unit circle, select the angle that corresponds to it.
    7·1 answer
  • Edwin Edwards and Karen Davis owned EEE, Inc., which owned three convenience stores, all of which sold gasoline. Reid Ellis deli
    14·1 answer
  • Solve x 3+3(x+2)=-24​
    7·2 answers
  • If Ashley had 4 yards of yarn in Ramen had 11 feet of yarn who had more yarn
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!