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
Brums [2.3K]
4 years ago
9

Let n equal a certain number. If five times the sum of the number and -1 is equal to 15 less than the product of 3 and the numbe

r, what is n?
Solve A=P+PRT "for" P
Mathematics
1 answer:
Ivan4 years ago
3 0
5(n+(-1))=3n-15\\
5(n-1)=3n-15\\
5n-5=3n-15\\
5n-3n=-15+5\\
2n=-10\\
n=-5\\\\
A=P+PRT\\
A=P(1+RT)\\
P=\dfrac{A}{1+RT}
You might be interested in
Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o
katrin2010 [14]

Answer:

y=2(x+6)^2+7

(-6,7)

Step-by-step explanation:

y=2x^2+24x+79

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

y=(2x^2+24x)+79

Factor out the coefficient of the quadratic term,

y=2(x^2+12x)+79

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

y=2(x^2+12x+36-36)+79

Simplify,

y=2(x^2+12x+36)+79+(2)(-36)

y=2(x+6)^2+79-72

y=2(x+6)^2+7

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

(-6,7)

7 0
3 years ago
A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose i
Virty [35]

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

7 0
3 years ago
(5/8 x - 10) - (1/8 x - 12)
nikklg [1K]

Answer: 16x-25 over 4(4x-5)(2x-3)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help pleaseeeeeeeeeeee
ollegr [7]

Answer:

Step-by-step explanation:

The temperature at a given altitude is

y = 36 - 3x

The temperature on the surface of the planet is the point (0,t) where t is the temperature for the given height.

y = 36 - 3*0

y = 36

So at the surface of the planet is 36 degrees C.

======================

Effectively it is the slope of the equation which is - 3

So ever km going up will mean a loss of 3 degrees. I think they want you to write -3

6 0
3 years ago
Find the slope of the line that is ​(a) parallel and ​(b) perpendicular to the line through the pair of points.
ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m=\frac{-1}{4}

Step-by-step explanation:

Step1:-

<u>Slope of a line</u><u> :-</u>

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

<u>Parallel lines:-</u>

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

<u>Perpendicular lines:-</u>

<u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} } \\

<u>Step 2</u>:-

a)The slope of a line when given two points (-1,-4) and (0,0)

m = \frac{0-(-4)}{0-(-1)} =4

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

m_{1} = m_{2}

Therefore the slope of the line that is parallel to the another line

m_{1} =m_{2} =4

<u>Step 3</u>:-

b) <u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} } \\

m_{2} =\frac{-1}{4}

Therefore the slope of the line is perpendicular to the another line is

m=\frac{-1}{4}

3 0
3 years ago
Read 2 more answers
Other questions:
  • Ling decided to purchase a vehicle with a $12,999 MSRP at a 6% interest rate
    15·2 answers
  • Write the name of the period that has the digits 913
    15·1 answer
  • Find the area of the parallelogram.
    14·2 answers
  • At a concession stand, seven hot dog (s )and two hamburger (s )cost $16.75; two hot dog (s )and seven hamburger (s )cost $19.25.
    7·1 answer
  • What is 5K +(-2k)-(-1)
    14·1 answer
  • 100 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please answer this question my grade needs to be up .
    9·2 answers
  • Evaluate: 2 x 30 - 24 divid 3 A.4 B.8 C.12 D.52 please help it would mean a lot &lt;3
    11·2 answers
  • Find the greatest common factor of 90, and 135
    14·1 answer
  • Subtract -2x^2-4x+2 from -6x+2
    12·2 answers
  • Passes through (-4,6) and (2,7)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!