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
nataly862011 [7]
3 years ago
8

Kovach Ski Supply manufactures hand warmers for skiers. The expense function is =1.18+12,000 where q is the number of hand warme

rs sold. If the company has total expenses of $21,853, then how many hand warmers did they produce? *
8,360
8,650
9,250
9,450
Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

They produced 8350 hand warmers

Step-by-step explanation:

The expense function =1.18q+12,000

Where q is the number of hand warmers sold.

We are given that the company has total expenses of $21,853

So,1.18q+12,000=21853

1.18q=21853-12000

1.18q=9853

q=\frac{9853}{1.18}

q=8350

Hence They produced 8350 hand warmers

You might be interested in
Find an equation of the tangent line to the hyperbola x2 a2 − y2 b2 = 1 at the point (x0, y0).
nalin [4]

The equation of the tangent line is y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2}  }{a^{2} y_{0} } + y_{0}

To find the tangent to the hyperbola \frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} } at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).

So, \frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }

So, at (x₀, y₀)

\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }

So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form

So, \frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} }  \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2}  }{a^{2} y_{0} } + y_{0}

So, the equation of the tangent line is y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2}  }{a^{2} y_{0} } + y_{0}

Learn more about equation of tangent line here:

brainly.com/question/12561220

3 0
3 years ago
What is six more than twice a number x
natta225 [31]

Answer:

2x + 6

2 times the number x is 2x (2 times x)

six more than that would be +6

5 0
4 years ago
Y = 3x - 1
lubasha [3.4K]

Answer:

no solution.

Step-by-step explanation:

given that, y = 3x-1

so,

in equation, 3x-y = 9

putting the value of y here,

3x-(3x-1) = 9

3x-3x+1 = 9

3x and 3x is cancelled.

hence, no solution

6 0
3 years ago
Tickets to Wrestlemania cost 600. the sales tax is 30% what is the final price
andrew-mc [135]

Answer:

$780

Step-by-step explanation:

600*.30=180

600+180=780

7 0
3 years ago
1. Which of the following systems is consistent and dependent?
Kamila [148]

Answer:

Choice d.

Step-by-step explanation:

Consistent means the linear functions will have at least one solution.

Independent means the it will just that one solution.

Dependent means the system will have infinitely many solutions.

So we are looking for a pair of equations that consist of the same line.

y=mx+b is slope-intercept form where m is the slope and b is the y-intercept.

If m and b are the same amongst the pair, then that pair is the same line and the system is consistent and dependent.

If m is the same and b is different amongst the pair, then they are parallel and the system will be inconsistent (have no solution).

If m is different, then the pair will have one solution and will be consistent and independent.

---------------------------

Choice A:

First line has m=1 and b=4.

Second line has m=1 and b=-4.

These lines are parallel.

This system is inconsistent.

Choice B:

First line is x+y=4 and it isn't in y=mx+b form.

Second line is 2x+2y=6 and it isn't in y=mx+b form.

These lines do have the same form though. This is actually standard form.

If you divide second equation by 2 on both sides you get:  x+y=3

The lines are not the same.

We are looking for the same line.

Now we could go ahead and determine to call this system.

If x+y has value 4 then how could x+y have value 3.  It is not possible. There is no solution. These lines are parallel.

Need more convincing. Let's put them into slope-intercept form.

x+y=4

Subtract x on both sides:

y=-x+4

m=-1 and b=4

x+y=3

Subtract x on both sides:

y=-x+3

m=-1 and b=3.

The system is inconsistent because they are parallel.

Choice c:

I'm going to go ahead in put them both in slope-intercept form:

3x+y=3

Subtract 3x on both sides:

y=-3x+3

So m=-3 and b=3

2y=6x+6

Divide both sides by 2:

y=3x+3

So m=3 and b=3

The m's are different so this system will by consistent and independent.

Choice d:

The goal is the same. Put them in slope-intercept form.

4x-2y=6

Divide both sides by -2:

-2x+y=-3

Add 2x on both sides:

y=2x-3

m=2 and b=-3

6x-3y=9

Divide both sides by -3:

-2x+y=-3

Add 2x on btoh sides:

y=2x-3

m=2 and b=-3

These are the same line because they have the same m and the same b.

This system is consistent and dependent.

8 0
3 years ago
Other questions:
  • What two numbers multiply to -8 and add to -4
    15·1 answer
  • Tom know that in his school 10 out of every 85 students are left handed.There are 493 students in toms school.How many students
    7·1 answer
  • I need help with question 9
    13·1 answer
  • Someone please help me!!
    8·2 answers
  • PLEASE HELP ASAP THE DETAILS ARE BELOW.What is the value of x?
    10·1 answer
  • Can you help me I’m trying to get done with all of my work :/
    9·2 answers
  • 1. expand 4³
    12·1 answer
  • Write 28/63 in simplest form
    12·1 answer
  • What is the domain and range of the exponential function?<br> f(x)= 2* - 5
    14·1 answer
  • Please help! I'm so confused on this. Ill give brainliest if you can figure these out.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!