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
Gelneren [198K]
3 years ago
8

Solve for p. 3/5(p - 3) = -4

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0

Answer:

p = 3.6666(repeating)

Step-by-step explanation:

3/5(p-3)=-4

We simplify the equation to the form, which is simple to understand  

3/5(p-3)=-4

Simplifying:

+ 0.6*(p-3)=-4

Reorder the terms in parentheses

+( + 0.6p-1.8)=-4

Remove unnecessary parentheses

+ 0.6p-1.8=-4

We move all terms containing p to the left and all other terms to the right.  

+ 0.6p=-4+1.8

We simplify left and right side of the equation.  

+ 0.6p=-2.2

We divide both sides of the equation by 0.6 to get p.  

p=-3.66666666667

You might be interested in
X and y intercepts g(x)=9x-10
anygoal [31]

the y intercept is -10

the x intercept is

0=9x-10

10=9x

x=10/9

6 0
3 years ago
Read 2 more answers
The sum of three consecutive multiples of 7 is 777 find these multiples
Rudik [331]

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

so 7(n-1)+7n+7(n+1)=777

or 3n=111,

n=37

252,259,266

4 0
3 years ago
Read 2 more answers
For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va
Black_prince [1.1K]

Answer:

3 solutions:

\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is tan(\frac{\theta}{2}) so let's focus on that part of the equation first.

We know that:

tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}

therefore:

cos(\frac{\theta}{2})\neq0

so we need to find the angles that will make the cos function equal to zero. So we get:

cos(\frac{\theta}{2})=0

\frac{\theta}{2}=cos^{-1}(0)

\frac{\theta}{2}=\frac{\pi}{2}+\pi n

or

\theta=\pi+2\pi n

we can now start plugging values in for n:

\theta=\pi+2\pi (0)=\pi

if we plugged any value greater than 0, we would end up with an angle that is greater than 2\pi so,  that's the only angle we cannot include in our answer set, so:

\theta\neq \pi

having said this, we can now start solving the equation:

tan(\frac{\theta}{2})=sin(\theta)

we can start solving this equation by using the half angle formula, such a formula tells us the following:

tan(\frac{\theta}{2})=\frac{1-cos(\theta)}{sin(\theta)}

so we can substitute it into our equation:

\frac{1-cos(\theta)}{sin(\theta)}=sin(\theta)

we can now multiply both sides of the equation by sin(\theta)

so we get:

1-cos(\theta)=sin^{2}(\theta)

we can use the pythagorean identity to rewrite sin^{2}(\theta) in terms of cos:

sin^{2}(\theta)=1-cos^{2}(\theta)

so we get:

1-cos(\theta)=1-cos^{2}(\theta)

we can subtract a 1 from both sides of the equation so we end up with:

-cos(\theta)=-cos^{2}(\theta)

and we can now add cos^{2}(\theta)

to both sides of the equation so we get:

cos^{2}(\theta)-cos(\theta)=0

and we can solve this equation by factoring. We can factor cos(\theta) to get:

cos(\theta)(cos(\theta)-1)=0

and we can use the zero product property to solve this, so we get two equations:

Equation 1:

cos(\theta)=0

\theta=cos^{-1}(0)

\theta={\frac{\pi}{2}, \frac{3\pi}{2}}

Equation 2:

cos(\theta)-1=0

we add a 1 to both sides of the equation so we get:

cos(\theta)=1

\theta=cos^{-1}(1)

\theta=0

so we end up with three answers to this equation:

\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}

7 0
2 years ago
can anyone plz tell me how to lucid dream tonight without an alarm im 13 and i never had one ill give brainliet
Angelina_Jolie [31]

get a journal and pencil and when you go to sleep, don't put on any alarms. then write down in the morning what you dreamt about. every detail you can thing of. if you have the dream again, write down more details. this will help you begin to lucid dream.

7 0
2 years ago
Which of the following two fractions us a terminating decimal? 2/3 or 5/8?
bonufazy [111]
5/8 because it is 0.625, while 2/3 is 0.66666...
5 0
3 years ago
Other questions:
  • In an electric current, the voltage varies directly as the electric current, measured in amperes. If the voltage is 75 volts whe
    9·1 answer
  • Mikhail went bowling and spent $26.25. He rented shoes for $7.50 and paid $6.25 for each game. Which equation can be used to det
    5·1 answer
  • What affect does the "h" value have on the function f(x)=log(x)?
    5·1 answer
  • Solve eqaution 22p+11=4p-7
    12·2 answers
  • The measure of an obtuse angle is
    12·2 answers
  • If there are 60 min in a hour, 60 sec in min and 10 counts in a second how much is half of a second
    7·1 answer
  • A box measures 20 inches wide by 14 inches deep. The height of the box is two feet. What is the volume of the box? Remember two
    6·1 answer
  • What is the x-intercept of the graph that is shown below?
    14·1 answer
  • What polygon is being constructed?
    7·1 answer
  • A car leaves Boston at 7:40pm and takes 2 hours, 15 minutes to travel to Cape Cod. When will the car arrive Cape Cod (A) 5:25am
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!