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
hichkok12 [17]
3 years ago
13

How many Solutions are there for -6(3x+2)=2x-5-20x-7

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0

First of all, expand the left hand side:

-18x-12 = 2x-5-20x-7

Sum like terms on the right hand side:

-18x-12 = -18x-12

As you can see, the equation turned to be an identity: it doesn't matter which value for x you are choosing: you're evaluating the same expression in both sides, so they will always be the same.

In other words, you're asking: which value for x should I choose so that -18x-12 and -18x-12 evaluate to the same number? Well, obvisouly any value for x will do.

So, there are infinitely many solutions to this equation, namely ever real number is a solution of this equation.

You might be interested in
A tank contains 120 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
gtnhenbr [62]

If A(t) is the amount of salt in the tank at time t, then A(0) = 50 g and

A'(t) = (1 g/L)*(3 L/min) - (A(t)/120 g/L)*(3 L/min)

\implies A'+\dfrac A{40}=3

Multiply both sides by e^{t/40}, so that the left side can be condensed as the derivative of a product:

e^{t/40}A'+\dfrac{e^{t/40}}{40}A=3e^{t/40}

\left(e^{t/40}A\right)'=3e^{t/40}

Integrate both sides and solve for A(t).

e^{t/40}A=120e^{t/40}+C

\implies A(t)=120+Ce^{-t/40}

Given that A(0) = 50 g, we have

50=120+C\implies C=-70

so that the amount of salt in the tank at time t is

\boxed{A(t)=120-70e^{-t/40}}

7 0
3 years ago
I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT.
malfutka [58]
1. given
2. addition property of equality
3. division property of equality
4 0
3 years ago
Which ordered pair (x, y) satisfies the system of equations? 1/2 x − 1/4 y = 10 1/8 x − 1/8 y = 19
zlopas [31]

Answer:

-36,-192

Step-by-step explanation:

5 0
2 years ago
Please awnser 1,2,3,and 4
Kryger [21]
1.B
2.e
3.8+10(x+3)+x
8+10x+30+x
11x=-30-8
x=38+11x
5 0
3 years ago
5(n+1) = 2n + 20 can someone tell me the answer and explain
finlep [7]

Answer:

n=15

Step-by-step explanation:

5(n+1)=2n+20

U start by expanding the first term which will give you 5n+5

Then after that u collect like terms giving u

5n-2n=20-5

Finally u evaluate it giving u

n=15

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which correctly gives the location of the point (7, –13)? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV
    7·1 answer
  • The question and the numbers for the equation are confusing ::
    6·2 answers
  • Find the tangent of angle Z.
    7·1 answer
  • The height of a cone is 12 cm and the radius is 3 cm. To the nearest square centimeter, what is the area of the cross section th
    14·1 answer
  • What is the value of 0²?​
    7·1 answer
  • Marie factored 11x^3y^5 as (8x^3)(3y^5). Stanley factored 11x^3y^5 as (11xy)(x^2y^4). Which of them factored 11x^3y^5 correctly?
    6·1 answer
  • You invest in $5,000 in an account earning simple interests. The balance after 6 years is $6,200. What is the interests rate?
    11·1 answer
  • The Highland Cafeteria offers a lunch combination meal which includes an entree and a side order. Choices for entrees are chicke
    5·1 answer
  • 25 + 5w -1 0 + w<br> PLZ help me (i pomise i will mark brainliest)
    5·2 answers
  • Given point P(10,10) and Q(0,4) find point R on segment PQ such that their ratio is 7:3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!