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Semenov [28]
3 years ago
7

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 shirt

.
Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer: $12

Step-by-step explanation:

For this problem, we can use system of equations to solve. Let's use x for shirts and y for ties.

Equation 1

6x+3y=79.5

This equation comes from the first sentence. 79.5 is the total cost.

Equation 2

3x+2y=41

This equation comes from the second part of the first sentence. 41 is the total cost.

Since we are looking for the cost of each shirt, let's use the elimination method to eliminate y. First, we need to multiply both equations to that the y in both equations equal each other.

2(6x+3y=79.5)

3(3x+2y=41)

Now that we have chosen a common number, we can multiply.

12x+6y=159

9x+6y=123

We can now subtract both equations to cancel out y.

3x=36

Divide to get x alone.

x=12

Each shirt costs $12.

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PLS HURRY
Aneli [31]

Given:

The table of values.

Hours (h)        Dollars (d)

     1                       42

     2                      84

     3                     126

     4                     168

     5                       ?

To find:

The correct statements about the table.

Solution:

From the given table it is clear that,

1\times 42=42

2\times 42=84

3\times 42=126

4\times 42=168

This pattern can be defined as

h\times 42=d

Multiply h by 42 to get d. So, option A is correct.

Using this pattern, we get

5\times 42=210

The missing value in the last row is 210. So, option D is correct.

From the given table it is clear that the rate of change is $42 per hour because dollar is increasing by 42 in every hour.

A real-world situation that is represented in the table is “Richard is a video game designer and earns $42 per hour.”

Therefore, the option E is correct.

3 0
3 years ago
Read 2 more answers
A) 2.5x + 1.25 &lt; 3.75 <br>b)5.12 2.4x + 0.3<br>help!!!<br><br>​
Sauron [17]

Answer:

a) 1

b)I would like to help u but i don't understand the question I think something is missing there plus sign or minus sign sry

Step-by-step explanation:

2.5x + 1.25 < 3.75

2.5x < 3.75 - 1.25

2.5x < 2.5

\frac{2.5x}{2.5}  =  \frac{2.5}{2.5}

x = 1

I hope u like it ‍❤️‍‍❤️‍

For any question comment me

Really sorry for the second question

4 0
3 years ago
Is this expression equivalent to 1.5?<br><br> 0.15 / 10<br><br> (0.15 divided by 10)
dimulka [17.4K]

Answer:

False

Step-by-step explanation:

0.15/10 equals 0.015

6 0
3 years ago
In a 5% sale, the price of a phone is reduced by £19.4 Find the original price of the phone
gulaghasi [49]

Answer:

The original price of the phone is £388.

Step-by-step explanation:

Since 5% of the price of the phone is reduced, you can simply multiply the reduced number which is £19.4 by 20.  Your final answer should be £388 when you put it on a calculator or do it on a piece of paper.

4 0
3 years ago
56 times a number minus 13 is equal to 6 less than the number.
Eddi Din [679]

Answer:

<h2>Z = 19/56</h2>

<h2>OR Z = 0.34</h2>

Step-by-step explanation:

The steps in the photo above

I hope that is useful for you :)

4 0
3 years ago
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