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
aleksandrvk [35]
3 years ago
13

A crayon company sells a pack of wax crayons for $5. there are 10 crayons in each pack. what is the unit price of the crayons?

Mathematics
2 answers:
creativ13 [48]3 years ago
7 0

Answer:

Unit price of the crayons is $0.5 or 50 cents.

Step-by-step explanation:

A crayon company sells a pack of wax crayon for $5.

Since each pack contains number of crayons = 10

Then we have to find the unit price of the crayons.

We apply unitary method to solve this question.

∵ 10 crayons cost = $5

∴ 1 crayon will cost = \frac{5}{10}

                               = $0.5

Therefore, unit price of the crayons will be $0.5 or 50 cents.

Nutka1998 [239]3 years ago
4 0
The unit price of the crayons is 50 cents
You might be interested in
Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=(x+8)^2−1
BartSMP [9]

Answer:

zeroes: x = -9 and x = -7

Step-by-step explanation:

f(x)=(x+8)^2−1

A "zero" refers to when the y-value on the graph is zero.

0 = (x+8)^2 - 1

1 = (x+8)^2

+ or - 1 = x+8

so break them apart into two equations

x+8 = 1  OR  x+8 = -1

x = -7  OR  x = -9

You can plug both back in to check that the equation works!

4 0
4 years ago
A store manager begins each shift with the same total amount of money. She keeps $200 in a safe and distributes the rest equally
lina2011 [118]

Answer:

The answer would be 5

8 0
3 years ago
Read 2 more answers
Given P = x^0.3 y^0.7 is the chicken lay eggs production function, where P is the number of eggs lay, x is the number of workers
lora16 [44]

Answer:

Part A)

\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}

Part B)

The daily operating cost decreases by about $143 per extra worker.

Step-by-step explanation:

We are given the equation:

\displaystyle P=x^{\frac{3}{10}}y^{\frac{7}{10}}

Where <em>P</em> is the number of eggs laid, <em>x</em> is the number of workers, and <em>y</em> is the daily operating budget (assuming in US dollars $).

A)

We want to find dy/dx.

So, let’s find our equation in terms of <em>x</em>. We can raise both sides to 10/7. Hence:

\displaystyle P^\frac{10}{7}=\Big(x^\frac{3}{10}y^\frac{7}{10}\Big)^\frac{10}{7}

Simplify:

\displaystyle P^\frac{10}{7}=x^\frac{3}{7}y

Divide both sides by<em> </em>the <em>x</em> term to acquire:

\displaystyle y=P^\frac{10}{7}x^{-\frac{3}{7}}

Take the derivative of both sides with respect to <em>x: </em>

\displaystyle \frac{dy}{dx}=\frac{d}{dx}\Big[P^\frac{10}{7}x^{-\frac{3}{7}}\Big]

Apply power rule. Note that P is simply a constant. Hence:

\displaystyle \frac{dy}{dx}=P^\frac{10}{7}(-\frac{3}{7})(x^{-\frac{10}{7}})

Simplify. Hence, our derivative is:

\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}

Part B)

We want to evaluate the derivative when <em>x</em> is 30 and when <em>y</em> is $10,000.

First, we will need to find <em>P</em>. Our original equations tells us that:

P=x^{0.3}y^{0.7}

Hence, at <em>x</em> = 30 and at <em>y</em> = 10,000, <em>P </em>is:

P=(30)^{0.3}(10000)^{0.7}

Therefore, for our derivative, we will have:

\displaystyle \frac{dy}{dx}=-\frac{3}{7}\Big(30^{0.3}(10000^{0.7})\Big)^\frac{10}{7}\Big(30^{-\frac{10}{7}}\Big)

Use a calculator. So:

\displaystyle \frac{dy}{dx}=-\frac{1000}{7}=-142.857142...\approx-143

Our derivative is given by dy/dx. So, it represents the change in the daily operating cost over the change in the number of workers.

So, when there are 30 workers with a daily operating cost of $10,000 producing a total of about 1750 eggs, the daily operating cost decreases by about $143 per extra worker.

5 0
3 years ago
What is the length of a side of a cube with a volume of 729 m3?
Law Incorporation [45]
So, You Need To Find The Length Of One Of The Sides. So, Lets Find It Using The Cubed Method. 10*10*10 = 1000, So It Can't Be 10. 5*5*5 = 125, So It Needs To Be Bigger. 7*7*7 = 343, So Bigger. 8*8*8 = 512, So Bigger. 9*9*9 = 729m^3, So, The Side Length Of The Cube Is 9 Meters. I Hope This Helps!

3 0
3 years ago
Whart is 50x+56=<br><br><br><br> what is it!!
Reil [10]
That is simplest form
50x+56=50x+56, they are not like terms so you can't add them
if you did want to factor, the common term is 2 so then
50x+56=2(25x+28)
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the median of the data set given below?
    8·2 answers
  • A refrigerator costs $850. The estimated yearly operating cost of the refrigerator is $62. Average annual cost = Purchase price
    10·2 answers
  • Janet wants to solve the equation above, what should she multiply by both sides of this equation by
    12·2 answers
  • Two boxes are similar, the length of the side of the small box is 4cm, the length of the side of the big box is 16cm. The volume
    12·1 answer
  • Jacinta babysat for 2 1/2 hours each Saturday for 6 weeks she was paid $8.50 each hour what is the total amount that Jacinta was
    6·1 answer
  • Pls help me guys! This is soooo hard!
    12·1 answer
  • HELPPPPPPPPPPPPPPPPPP. PLEASEEEEEE
    15·2 answers
  • I need someone to teach me the tricks of linear equation​
    8·2 answers
  • Find the value of b in rectangle
    11·1 answer
  • Which ordered pair is a solution of the equation
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!