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
Dvinal [7]
3 years ago
12

3/a x - 4 = 20. x equals -2

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

\Large \boxed{a=\frac{-1}{4} }

Step-by-step explanation:

\displaystyle \frac{3}{a} \cdot x - 4 = 20

Let x = -2.

\displaystyle \frac{3}{a} \cdot (-2) - 4 = 20

Solving for a.

\displaystyle \frac{-6}{a}- 4 = 20

Adding 4 to both sides.

\displaystyle \frac{-6}{a} = 24

Multiplying both sides by a, then dividing both sides by 24.

\displaystyle \frac{-6}{24} = a

Simplifying.

\displaystyle \frac{-1}{4} = a

You might be interested in
3. Which graph best represents the solution to the following system? (1 point)<br> (5x – 2y &lt;10
Step2247 [10]

Answer:

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10

x + y < 5

we have

5x-2y\leq 10 ----> inequality A

isolate the variable y

Adds 2y both sides

5x \leq 10+2y

Subtract 10 both sides

5x-10 \leq 2y

Divide by 2 both sides

2.5x-5 \leq y

Rewrite

y \geq 2.5x-5

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is y=2.5x-5

The slope of the solid line is positive m=2.5

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

x+y < 5 -----> inequality B

Isolate the variable y

Subtract x both sides

y < -x+5

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is y=-x+5

The slope of the dashed line is negative m=-1

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

The solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

7 0
3 years ago
A radio station plays a winning song once per hour at a randomly selected time (in minutes). During an announcer’s four-hour sho
telo118 [61]

Answer:nrkrdjdjddjdjdjjdjdjdjdjdjd

Step-by-step explanation:

Hdhdhdhdhdhd

8 0
3 years ago
If x^(2) - 2 = 2^(2/3) + 2(-2/3) prove that x = 2^(1/3)+2^(-1/3)
dusya [7]

Step-by-step explanation:

x² - 2 = 2^(2/3) + 2^(-2/3)

x² = 2^(2/3) + 2 + 2^(-2/3)

x² = (2^(1/3))² + 2 × 2^(1/3) × 2^(-1/3) +

(2^(-1/3))² (It is in the form of a²+2ab+b²)

x² = (2^(1/3) + 2^(-1/3))²

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

6 0
3 years ago
Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.
Nataly_w [17]
Surface area of a ball: 
S=4πr^2=4*π*5^2=100π

Volume of a circle:
V=4/3*π*r^3=4/3*π*125=(500/3)*π=165π

The approximate surface-area-to-volume ratio would be 1:1,5
6 0
3 years ago
A(5−x)=bx−8 what is x
nata0808 [166]

5a+8 /a+b  is the answer.



 


6 0
3 years ago
Read 2 more answers
Other questions:
  • Kx + 3x = 4 solve for x.
    12·1 answer
  • In the current year, Brown, a C corporation has gross income (before dividends) of $900,000 and deductions of $1,100,000 (exclud
    9·1 answer
  • What is 3 1/4 x 1 1/2 x 9?
    15·1 answer
  • At noon, ship a is 180 km west of ship
    13·1 answer
  • Crystal pushes a 20 kg box with a force of 40N. What is the box’s acceleration?
    13·2 answers
  • Order from least to greatest 7.003, 7.00301, 7.00294, 7.00289 →
    11·2 answers
  • Find the difference of 67.2 and 23.9.
    10·1 answer
  • Write the equation of the line with the give information:<br> Through (5,3)<br> m=2
    13·1 answer
  • Find the value of x, if C is on line AE
    15·2 answers
  • What is the value of log279?<br> -3/2, -2/3, 2/3, 3/2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!