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Vitek1552 [10]
3 years ago
7

Please help me I need it for my homework thanks

Mathematics
1 answer:
natima [27]3 years ago
3 0

Answer: 5/4

Step-by-step explanation:

Multiple each term by 5/4 and simplify

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Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and of slacks and paid ​$11.45. Then brought
GenaCL600 [577]

Complete Question:

Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and 1 pair of slacks and paid ​$11.45. Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39. ​Finally, brought 5 shirts and 2 sports and paid ​$21.43 . How much was charged for each​ shirt, each pair of​ slacks, and each sports​ coat?

Answer:

The charges

For each Shirt = $1.49

For each pair of slacks = $5.49

For each sports coat = $6.99

Step-by-step explanation:

Let Shirt = a

Let pair of slacks = b

Let sports coat = c

First, brought 4 shirts and 1 pair of slacks and paid ​$11.45

= 4a + b = 11.45 ..........Equation 1

b = 11.45 - 4a

Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39

= 7a + 2b + 2c = 35.39.........Equation 2

5 shirts and 2 sports and paid ​$21.43

5a + 2c = 21.43............Equation 3

Hence:

4a + b = 11.45 ..........Equation 1

7a + 2b + 2c = 35.39.........Equation 2

Using elimination method

Multiply Equation 2 by the coefficient of b = 1 in Equation 1

Multiply Equation 1 by the coefficient of b = 2 in Equation 2

8a + 2b = 22.9 .......Equation 4

7a + 2b + 2c = 35.39.........Equation 2

Subtracting Equation 2 from Equation 4

= a - 2c = -12.49 ........Equation 5

a = -12.49 + 2c

Subtituting -12.49 + 2c for a in Equation 3

5a + 2c = 21.43............Equation 3

5(-12.49 + 2c) + 2c = 21.43

= -62.45 + 10c + 2c = 21.43

Collecting like terms

10c + 2c = 21.43 + 62.45

12c = 83.88

c = 83.88/12

c = 6.99

5a + 2c = 21.43............Equation 3

Substituting 6.99 for c in Equation 3

5a + 2(6.99) = 21.43

5a + 13.98 = 21.43

5a = 21.43 - 13.98

5a = 7.45

a = 7.45/5

a = 1.49

4a + b = 11.45 ..........Equation 1

Substituting 1.49 for a in Equation 1

4(1.49) + b = 11.45

b = 11.45 - 4(1.49)

b = 11.45 - 5.96

b = 5.49

Therefore, since the charges

For each shirt = a

The charges for each Shirt = $1.49

For each pair of slacks = b

The charges for each pair of slacks = $5.49

For each sports coat = c

The charges for each sports coat = $6.99

3 0
3 years ago
What is the domain of this table X 1 2 3 4 Y 2 4 3 2
Hoochie [10]
1,2,3,4 are the domain. The x column is always the domain.
3 0
3 years ago
Can someone help me out with this question??
dybincka [34]

Answer:

No of cookies baked by Eva=24

No of cookies baked by Jamir=?

Total cookies=56

Solution

24+p=56

p=56-24

p=32

8 0
3 years ago
40,43,40,39,50,23 what is the median?
Effectus [21]
Median is the middle number, but since there is 6 numbers.
Put them in order first
23,39,40,40,43,50
Well in middle is 40 for both sides
So to solve median for this you'd add the two middle numbers together since there is even set of numbers.
40+40 =80 then divide by 2
80÷2=40
Median = 40
*Follow This Example for any other even sets of numbers for Median*
4 0
3 years ago
Read 2 more answers
Find the value of 2.<br> 35°<br> xº<br> (x + 95)°
nevsk [136]

Answer:

x = 25°

Step-by-step explanation:

The sum of the interior angles of a triangle = 180°

180° = 35° + x° + x + 95°

2x° = 50°

x = 25°

8 0
3 years ago
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