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
stepladder [879]
3 years ago
5

11. Albert started a brownie-making business. He

Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

The minimum number of brownies to sell would be 237 brownies

Step-by-step explanation:

Consider the provided information.

Albert spent $650 to purchase supplies to get started and  he uses about $2.25 worth of supplies per brownie  made. Albert charges $5 for each brownie.  

In order to get a profit he need to come up with more than $650

he uses about $2.25 worth of supplies per brownie and charges $5 for each.

Therefore, the profit per brownie is

$5 - $2.25 = $2.75

Let b  represent the number of brownies sold.

The required inequality in order to get profit is:

2.75b > 650

Now, solving, we get:

b > \frac{650}{2.75}

b >236.36

So, the minimum number of brownies to sell would be 237 brownies

You might be interested in
Pls help i need it its area
SOVA2 [1]
3,800
because the rectangle area is 40x70 plus the triangle area is 40x50 divided by 2
3 0
2 years ago
Read 2 more answers
B) Let g(x) =x/2sqrt(36-x^2)+18sin^-1(x/6)<br><br> Find g'(x) =
jolli1 [7]

I suppose you mean

g(x) = \dfrac x{2\sqrt{36-x^2}} + 18\sin^{-1}\left(\dfrac x6\right)

Differentiate one term at a time.

Rewrite the first term as

\dfrac x{2\sqrt{36-x^2}} = \dfrac12 x(36-x^2)^{-1/2}

Then the product rule says

\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 x' (36-x^2)^{-1/2} + \dfrac12 x \left((36-x^2)^{-1/2}\right)'

Then with the power and chain rules,

\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} + \dfrac12\left(-\dfrac12\right) x (36-x^2)^{-3/2}(36-x^2)' \\\\ \left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} - \dfrac14 x (36-x^2)^{-3/2} (-2x) \\\\ \left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} + \dfrac12 x^2 (36-x^2)^{-3/2}

Simplify this a bit by factoring out \frac12 (36-x^2)^{-3/2} :

\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-3/2} \left((36-x^2) + x^2\right) = 18 (36-x^2)^{-3/2}

For the second term, recall that

\left(\sin^{-1}(x)\right)' = \dfrac1{\sqrt{1-x^2}}

Then by the chain rule,

\left(18\sin^{-1}\left(\dfrac x6\right)\right)' = 18 \left(\sin^{-1}\left(\dfrac x6\right)\right)' \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18\left(\frac x6\right)'}{\sqrt{1 - \left(\frac x6\right)^2}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18\left(\frac16\right)}{\sqrt{1 - \frac{x^2}{36}}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{3}{\frac16\sqrt{36 - x^2}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18}{\sqrt{36 - x^2}} = 18 (36-x^2)^{-1/2}

So we have

g'(x) = 18 (36-x^2)^{-3/2} + 18 (36-x^2)^{-1/2}

and we can simplify this by factoring out 18(36-x^2)^{-3/2} to end up with

g'(x) = 18(36-x^2)^{-3/2} \left(1 + (36-x^2)\right) = \boxed{18 (36 - x^2)^{-3/2} (37-x^2)}

5 0
2 years ago
A certain television is advertised as a 80-inch TV (the diagonal length). If the
Aleksandr [31]

Answer: 48 inches tall

Step-by-step explanation: (I just learned this) First, you square 80 and 64. 80 will be 6400 and 64 will be 4096. Then you use the Pythagorean Theorem, which is a² + b² = c². A. and B. are the legs in a triangle and C. is the hypotenuse. If you have A. and C. but not B, you square A. and C. and subtract C. from A. Then, after you get the number, you square that number, which will be√(2304), which makes 48.

3 0
3 years ago
How to put 17/4 into a mixed number
KiRa [710]
Divide the top by bottom. So 17 divided by 4. Which would be around 4.25
4 0
2 years ago
Read 2 more answers
What value of n solves the equation?
vampirchik [111]
2^n = 1/8

Try each one of the options in turn 

The question marks are negatives right?
7 0
3 years ago
Other questions:
  • I need help Asap!!!!!!!!!
    11·1 answer
  • . Find the value of x. a. 22.5 b. 18.5 c. 18 d. 12
    6·1 answer
  • What is the answer to this question
    7·2 answers
  • What is the result when 55 increased by 209%?
    10·1 answer
  • A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (
    11·2 answers
  • Find the cuberoot of 512<br>please answer fast thank you<br>​
    8·2 answers
  • One of your clients at Birmingham Wills and Estates Law, PLLC passes away. Her estate is worth $56,000. She leaves half to chari
    10·1 answer
  • Find the value of x for which pll q.
    11·1 answer
  • If 5/6 is 180, what is 1/6?<br>(please explain as well)
    9·2 answers
  • what type of number is \dfrac{0.\overline{55}}{0.\overline{55}} 0. 55 0. 55 ​ start fraction, 0, point, start overline, 55, end
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!