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
dezoksy [38]
3 years ago
7

Ruth is knitting hats to sell at a local fair. The booth costs her $63 and the materials for each hat cost $10. She plans on sel

ling them for $19. How many hats will Ruth have to make to break even, and how much will sales and costs be at that point? ​
Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer: Ruth have to make 7 hats to break even.

Step-by-step explanation:

Break even point is a point where Cost = Revenue.

Let x be the number of hats sold.

Given: Cost of booth = $63

Each hat cost = $10

Selling price for each cost = $19

As per given,

Total cost = Cost of booth+ (Cost of each hat)(Number of hats)

= 63+10x

Total selling price = 19x

For break even,

63+10x=19x

9x=63

x=7

Hence, Ruth have to make 7 hats to break even.

You might be interested in
At Max party,3/12 of the guests are 10 years old and 7/12 of the guests are 11 years old. What fraction of the guests are 10 or
Pavlova-9 [17]

Answer:

10/12

Step-by-step explanation:

3/12 + 7/12 = 10/12

7 0
3 years ago
Read 2 more answers
3. Which relation is a function?
Pani-rosa [81]

Answer:

B

Step-by-step explanation:

Recall that functions are defined only if for each value in the domain produces one and only one value in the range.

If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value

Lets evaluate the options:

A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)

D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

the only choice where this doesn't occur is choice B

6 0
3 years ago
In a group of 10 ​kittens, 5 are female. Two kittens are chosen at random. ​a) Create a probability model for the number of male
olya-2409 [2.1K]

Answer:

(b) Expected number of male kitten E(x) = 1

(c) Standard deviation is ±\frac{2}{3}.

Step-by-step explanation:

Given that,

Number of kittens in a group are 10. Out of these 5 are female.

To find:- (a) create a probability model of male kitten chosen.

    So,  total number of kitten = 10

           number of female kitten = 5    

then, Number of male kitten = 10-5= 5

Now total number of ways to choosing two kittens from group of 10 = ^{10} C_{2}

                                                                                                                 = \frac{10!}{2!\times8!}

                                                                                                                 = 45

for choosing (i) No male P(x=0) = P(Two female) =  \frac{^{5} C_{2}}{45}

                                                                           = \frac{2}{9}

                     (ii) 1 male P(x=1) = P(1 male and 1 female) = \frac{^{5} C_{1}\times^{5} C_{1}}{45} =  \frac{25}{45} =\frac{5}{9}

                     (iii) 2 male P(x=2)= P(2 male) =\frac{^{5} C_{2}}{45} =  \frac{2}{9}

      x_{i}                             0                     1                      2

P(X=x_{i})                           \frac{2}{9}                      \frac{5}{9}                      \frac{2}{9}

(b) what is expected number of male kittens chosen ?

    Expected number of male kitten E(x) =  o\times \frac{2}{9} + 1\times \frac{5}{9} + 2\times\frac{2}{9}

                                                                  = 1

(c) what is standard deviation ?

                              \sigma(x) = \sqrt{ (E(x^{2} )-(Ex)^{2})

No,                          

                               Ex^{2} =o\times \frac{2}{9} + 1\times \frac{5}{9} + 4\times\frac{2}{9}

                                       = \frac{13}{9}

                               \sigma(x)=\sqrt{\frac{13}{9} - 1 }=\sqrt{\frac{4}{9} }  

                                       = ± \frac{2}{3}

                               

6 0
3 years ago
A drawer contains 6 red socks, 5 white socks and 9 blue socks. Without looking, you draw out a sock
umka2103 [35]

Answer:

2/20

Step-by-step explanation:

because 9+5+6=20 and if you draw 2 red socks then that would be yur numerator

3 0
3 years ago
Find the value of x. Round to the nearest tenth.
Svet_ta [14]
Right triangle means:
sin, cos, and tangent

Here, we can see that:
sin 35° = \frac{x}{20}

Simplify.

20sin 35° = x

Multiply 20 by sin of 35 degrees.

x = 11.47(ROUNDED)

Answer: Choice C
8 0
4 years ago
Read 2 more answers
Other questions:
  • Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian
    6·2 answers
  • What is the answer to 3c=-21?
    12·1 answer
  • What is 10 1/2 as a improper fraction
    8·2 answers
  • A grain silo has a circular base with an area of 260 square feet and is 21 feet tall What is the total volume?​
    6·1 answer
  • A lost turtle - swimming 13 feet below the surface of the water - begins to ascend at 0.5 foot per second. In hopes of (harmless
    12·2 answers
  • (10 points for the answer)<br><br> y=
    6·1 answer
  • The graph of F(x), shown below, resembles the graph of G(x) = x^2?, but it has
    13·2 answers
  • If the following data were linearized using logarithms, what would be the equation of the regression line? Round the slope and y
    9·1 answer
  • What is the difference and similarity of finite and infinite set​
    11·1 answer
  • The graphs below have the same shape. What is the equation of the blue graph?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!