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
Nimfa-mama [501]
3 years ago
14

In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each tie.

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0
6x + 3y = 79.5
3x + 2y = 41     y = -3/2x + 41/2      y = -1.5x + 20.5

6x + 3(-1.5x + 20.5) = 79.5
6x - 4.5x + 61.5 = 79.5
1.5x + 61.5 = 79.5
1.5x = 18
x = 12

Each shirt costs $12.
Now insert that number into the x to find the cost of each tie.

3(12) + 2y = 41
36 + 2y = 41
2y = 5
y = 2.5

Each tie costs $2.50.

You might be interested in
A________ has cross-sectional shapes, taken parallel to a base, that are similar
alexdok [17]

Answer:

I think it is C

Step-by-step explanation

<em>cube has equal sides and is parallel.</em>

3 0
2 years ago
Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set. (
algol13

Answer:

its correct answer is

{y}

7 0
3 years ago
What is 3 times as many as 4
HACTEHA [7]

Answer: 12

Step-by-step explanation:

3 x 4 = 12

8 0
2 years ago
Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

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

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

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

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

5 0
3 years ago
Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years
mylen [45]

Answer:

The value of  annuity is  P_v  =  \$ 7929.9

Step-by-step explanation:

From the question we are told that

    The periodic payment is  P  =  \$ 250

     The  interest rate  is   r =  5\%  =  0.05

     Frequency at which it occurs in a year is  n = 4 (quarterly )

      The number of years is  t =  10 \ years

The  value of the annuity is mathematically represented as

             P_v  =  P *  [1  - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ] (reference EDUCBA website)

 substituting values

             P_v  = 250 *  [1  - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]

             P_v  =  250 *  [1  - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]

             P_v  =  250 *  [0.3916 ] * [\frac{(1.0125)}{0.0125} ]

            P_v  =  \$ 7929.9

8 0
3 years ago
Other questions:
  • Using the given zero, find all other zeros of f(x).
    5·1 answer
  • 12=y-3y what's the answer
    7·2 answers
  • The scatterplot represents the total fee
    6·1 answer
  • A researcher is running a study to determine how employees of a certain company commute to work. In order to complete the study,
    8·1 answer
  • Please help I need it ASAP or I can't graduate!
    5·1 answer
  • The frequency of a hum that is generated by an engine is 270 hz. It starts at zero, which function would best describe the frequ
    6·1 answer
  • Solve if you solve it you get 12 points<br> (6m−7)⋅4
    11·2 answers
  • Julie had twins that weighed less than 16 pounds together. If each twin weighed the same amount, which of the following inequali
    6·1 answer
  • The sum of a number and 12 3/4 is 16 4/9. Find the number.
    7·2 answers
  • A translation does not maintain congruency.<br> A. True<br> B. False
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!