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
pantera1 [17]
3 years ago
6

Can someone please help me find the answer to #19? I attached a photo of the problem

Mathematics
1 answer:
brilliants [131]3 years ago
4 0

Answer:

21 packages

Step-by-step explanation:

4 ÷3/16= 4 x 16= 64/3=21 1/3 .     21 packages

hope this helps :)

You might be interested in
Find the value of y.
Lerok [7]

Answer:

y=4

Step-by-step explanation:

<h3>The triangle is divided further into 2 right triangles. So ignore the left one.</h3><h3>We know the angle of elevation is 30° and the hypotenuse is 8.</h3><h3>Looking at SOH CAH TOA we use the sine ratio in trigonometry because we have to find the side opposite to the angle given and we know the hypotenuse. </h3><h3>It is: sin 30 = y/8</h3><h3>y= 8 sin 30</h3><h3>y=4</h3>
8 0
3 years ago
At a price of $p the demand x per month (in multiples of 100) for a new piece of software is given by x 2 + 2xp + 4p 2 = 5200. B
WINSTONCH [101]

Answer:

The rate of decrease in demand for the software when the software costs $10 is -100

Step-by-step explanation:

Given the function of price $p the demand x per month as,

x^{2}+2xp+4p^{2}=5200

Also given that, the price is increasing at the rate of 70 dollar per month.

\therefore \dfrac{dp}{dt}=70.

To find rate of decrease in demand, differentiate the given function with respect to t as follows,

\dfrac{d}{dt}\left(x^2+2xp+4p^2\right)=\dfrac{d}{dt}\left(5200\right)

Applying sum rule and constant rule of derivative,

\dfrac{d}{dt}\left(x^2\right)+\dfrac{d}{dt}\left(2xp\right)+\dfrac{d}{dt}\left(4p^2\right)=0

Applying constant multiple rule of derivative,

\dfrac{d}{dt}\left(x^2\right)+2\dfrac{d}{dt}\left(xp\right)+4\dfrac{d}{dt}\left(p^2\right)=0

Applying power rule and product rule of derivative,

2x^{2-1}\dfrac{dx}{dt}+2\left(x\dfrac{dp}{dt}+p\dfrac{dx}{dt}\right)+4\left(2p^{2-1}\right)\dfrac{dp}{dt}=0

Simplifying,

2x\dfrac{dx}{dt}+2\left(x\dfrac{dp}{dt}+p\dfrac{dx}{dt}\right)+8p\dfrac{dp}{dt}=0

Now to find the value of x, substitute the value of p=$10 in given equation.

x^{2}+2x\left(10\right)+4\left(10\right)^{2}=5200

x^{2}+20x+400=5200

Subtracting 5200 from both sides,

x^{2}+20x+400-5200=0

x^{2}+20x-4800=0

To find the value of x, split the middle terms such that product of two number is 4800 and whose difference is 20.

Therefore the numbers are 80 and -60.

x^{2}+80x-60x-4800=0

Now factor out x from x^{2}+80x and 60 from 60x-4800

x\left(x+80\right)-60\left(x+80\right)=0

Factor out common term x+80,

\left(x+80\right)\left(x-60\right)=0

By using zero factor principle,

\left(x+80\right)=0 and \left(x-60\right)=0

x=-80 and x=60

Since demand x can never be negative, so x = 60.

Now,

2x\dfrac{dx}{dt}+2\left(x\dfrac{dp}{dt}+p\dfrac{dx}{dt}\right)+8p\dfrac{dp}{dt}=0

Substituting the value.

2\left(60\right)\dfrac{dx}{dt}+2\left(60\left(70\right)+10\dfrac{dx}{dt}\right)+8\left(10\right)\left(70\right)=0

Simplifying,

120\dfrac{dx}{dt}+2\left(4200+10\dfrac{dx}{dt}\right)+5600=0

120\dfrac{dx}{dt}+8400+20\dfrac{dx}{dt}+5600=0

Combining common term,

140\dfrac{dx}{dt}+14000=0

Subtracting 14000 from both sides,

140\dfrac{dx}{dt}=-14000

Dividing 140 from both sides,

\dfrac{dx}{dt}=-\dfrac{14000}{140}

\dfrac{dx}{dt}=-100

Negative sign indicates that rate is decreasing.

Therefore, the rate of decrease in demand of software is -100

6 0
3 years ago
Determine the slope of the line passing through (4, −2) and (7, 10).
Paha777 [63]

Answer:

4

Step-by-step explanation:

Point slope Formula: y2-y1/x2-x1

10+2/7-4

=4

8 0
2 years ago
Your new job guarantees you an eight percent raise for each year with the company. if your initial salary is $42,200, write an e
expeople1 [14]
42200t*8% maybe I think
5 0
3 years ago
Read 2 more answers
Help and tell me why
lorasvet [3.4K]

Answer:

60

Step-by-step explanation:

V= lwh / 3 Write formula

V= 6*6*5 /3 Substitute

V=60

3 0
3 years ago
Other questions:
  • 7x^2-31x+20 I Know The Answer, I Just Don't Know The Steps To Solving This Equation.
    13·2 answers
  • How to write 784,893 in expanded form
    13·2 answers
  • Which point is on the line that passes through point x and is perpendicular to line Ab
    13·1 answer
  • 1 Which of the following situations describes the use
    9·2 answers
  • Evaluate the expressions using the distributive property. ⅔(-7) + ⅔(-5)
    12·1 answer
  • Please answer ASAP i will marks brainliest!!!!
    9·1 answer
  • Solve 3.3w - 9 &gt; -22.2 (explanation please)
    7·2 answers
  • As I was planting my sunflowers, I had to use 2 different sized flower pots. Now, some are very tall and others are not! Why wou
    10·2 answers
  • 54. Find <img src="https://tex.z-dn.net/?f=y%5E%7B%5Cprime%7D" id="TexFormula1" title="y^{\prime}" alt="y^{\prime}" align="absmi
    13·1 answer
  • Help I need some help due tomorrow
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!