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
Sveta_85 [38]
3 years ago
12

A shirt boutique purchased 100 new shirts for $1072. The short-sleeved shirts cost $10 each and the long-sleeved shirts cost $12

each. How many short-sleeved shirts were purchased?
Mathematics
2 answers:
ladessa [460]3 years ago
7 0

Answer: 64 short-sleeved shirts were purchased.

Step-by-step explanation: (x = short-sleeved shirts. y = long-sleeved shirts.)  

x + y = 100

10x + 12y = 1072

—12(x + y = 100) >>> -12x - 12y = -1200                                                                                                           10x + 12y = 1072 (add the equations and cancel out the 12y)

-2x/-2 (-2 cancels out) = -128/-2   (divide both by -2)

<u>x = 64 shirts purchased for $10 each.   (Hope this helped!)</u>

(vvvThis next part doesn’t answer the question, but I should finish the equation.)

(Plug in 64 for x)>>> 64 + y = 100 (then, subtract 64 from both sides) >>> 64 - 64 = 0 (they cancel out) and 100 - 64 = 36

<u>y = 36 shirts purchased for $12 each.</u>

I really hope this helped! :)

Scilla [17]3 years ago
4 0

Answer:

one equation would be S+ L=36for the number of shirts sold.

You might be interested in
If I throw a die, find the probability of throwing an odd number or a number less than 3.
Annette [7]
If you throw a die, this is what you could get:

1, 2, 3, 4, 5 or 6.

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

Odd Numbers: 1, 3, 5

Numbers less than Three: 1, 2

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

Possibility of getting 1, 2, 3 or 5:

4/6 which translates into 2/3.

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

Answer:

2/3
5 0
3 years ago
If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on
Nadya [2.5K]

Answer:

 \frac{dy}{dt}  = 102

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x  ... (i)

Differentiating equation (i) with respective to 'x'

    \frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)

Given x = -2

(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)

(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

                     \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Given    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34

                  \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

substitute values    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34  

           ⇒        34 = \frac{\frac{dy}{dt} }{3 }

cross multiplication , we get

                      \frac{dy}{dt} = 34( 3 ) = 102

<u><em>Final answer</em></u>:-

 \frac{dy}{dt} = 34( 3 ) = 102

8 0
3 years ago
Geometry math question please help
Triss [41]

A square is a figure with four equal sides and four right angles.In a square the diagonals bisect at right angles .

In the above given options option A is the right answer.

If the diagonals of any parallelogram are perpendicular then the figure is not necessarily a square.

Diagonals are perpendicular in a rhombus too.

A square and Rhombus both have diagonals that are perpendicular.

So it is not a necessary condition for a parallelogram to be a square .

The other options are right .

So option B is the right option that if diagonals are perpendicular is not sufficient to prove the figure to be a square.

6 0
3 years ago
Exploring permutations (PLEASE HELP)
amid [387]

Answer:

3 ways for number 1

Step-by-step explanation:

JUST TRUST ME!

5 0
2 years ago
Read 2 more answers
To charter a fishing boat for 3 hours the captain charges a base fee of 45.00 plus 15.00 per person using variables construct a
steposvetlana [31]

Answer:

$90.00

Step-by-step explanation:

Given

c = 45.00--- base fee

m = 15.00 --- rate

x = 3 --- individuals

Required

Determine the total amount paid (y)

The relationship between the variables is:

Total = Base\ Fee + Rate * Individuals

y = c + mx

This gives:

y = 45.00 + 15.00 * 3

y = 45.00 + 45.00

y = 90.00

<em>Hence, the amount is $90.00</em>

4 0
3 years ago
Other questions:
  • A company packed 108 items in 12 boxes. Write the rate as a fraction, then find the unit rate.
    8·1 answer
  • A measure of ________ for a numerical data set describes how its values vary with a single number.
    7·1 answer
  • ABC Office Supply offers an electric typewriter for $129.95. If ABC received a 15% markup on cost by selling the typewriter at t
    13·2 answers
  • If a student wears a ribbon to support or to protest a war, which type of expression is this person exercising?
    6·2 answers
  • There are four different answers to the mathematical question: 3 + 2 * 3^2 = ?
    15·1 answer
  • 2 years ago my mother was 4 times my age then. In 18 years I will be half my mothers new age. How old am I now?
    13·1 answer
  • the father is 30 years older than his son.after 10 years from now ,the sum of their ages is 64.what are their ages right now
    11·2 answers
  • Hope baked 678 cookies for her church's bake sale. She placed them equally in five baskets.However,she promised her brother
    15·1 answer
  • What is √15 divided by √12 simplified?
    14·1 answer
  • What is the common ratio between successive terms in the sequence?<br> 27, 9, 9, 1,<br> 3,<br> of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!