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

Answers

Answer 1

9514 1404 393

Answer:

  $12 for each shirt

Step-by-step explanation:

If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...

  6s +3t -79.50 = 0

  3s +2t -41.00 = 0

The solution for s can be found using the "cross multiplication" technique.

Differences of products can be formed:

  d1 = (6)(2) -(3)(3) = 3

  d2 = (3)(-41) -(2)(-79.50) = 36

Then we have ...

  1/d1 = s/d2   ⇒   s = d2/d1 = 36/3 = 12

The cost of each shirt is $12.00.

___

2 ties cost 41-36 = 5, so each one is $2.50.

_____

Additional comment

The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.

This method solves the general-form equations ...

ax +by +c = 0dx +ey +g = 0

by considering the two rows of coefficients:

a, b, c, ad, e, g, d

Then differences of cross-products are formed in adjacent columns:

  d1 = ae -db

  d2 = bg -ec

  d3 = cd -ga

The solutions are ...

  1/d1 = x/d2 = y/d3   ⇒   x = d2/d1, y = d3/d1


Related Questions

whoever answers it correct first gets brainlest

Answers

Answer:

f(x)=x+1 ok

please mark me as brainlest

a bowl contains 5 red chips, 7 blue chips, 6 yellow chips, and 10 green chips. One chip is randomly drawn. Write the answer as a fraction in simplest form. Find the probability of choosing a red OR yellow chip.​

Answers

Answer:

The probability is 11/28 or 39%

Step-by-step explanation:

You add 5+6=11 and their are 28 total chips.

which is a correct step when using the median fit method for modeling data?
Use the median value of intercepts found
Calculate slope using the right and middle points
Determine three y intercepts by using each summary point along with the slope.
Determine the median of the x values and the median of the y values.

Answers

When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.

What is the median fit method?

This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.

As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.

Find out more on the median fit method at https://brainly.com/question/23298464.

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Answer: C

Step-by-step explanation:

Help please question in the picture

Answers

Answer:

lol no picture attach it please

Step-by-step explanation:

Mr Goodwin finished grading his students homework at 4:12 PM if he spent an hour and 33 minutes doing this what time did he start

Answers

Answer:

2:21 pm

Step-by-step explanation:

Finished 4:12

He spent 1 hour and 33

4:12 - 1 hour 33

minus the hour

3:12

minus 33

12-33

2:21pm

choose the equation that describes the relationship in the following table. please answer ASAP ty

Answers

Answer:

C) y = -5x + 32

Step-by-step explanation:

Only choice where the all the x values equal the y values

(-6, -7) and (3,-4)
Pleaseee helppppppp​

Answers

Answer:

y = x/3 - 5

Step-by-step explanation:

Answer:

y = (1/3)x  - 5 .

Step-by-step explanation:

(-6 , -7) ; (3 ,-4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]

m = 1/3   ; (3,-4)

y - y1 = m(x - x1)

[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]

Hikers spent the following amounts of time (in minutes) to complete a
nature hike: 48, 46, 52, 57, 58, 52, 61, 56.
Suppose another hiker takes 92 minutes to complete the hike.
How does the median and mean change when the new hiker is
factored in to the data?

Answers

Answer:

the mean is 53.75 and median is 54

Step-by-step explanation:

4.09434456 rounded to the nearest thousand

Answers

Answer:

4.094

Step-by-step explanation:

in our thousandths spot is the 4 4.094, in our ten-thousandths spot is the 3 4.0943, so we do not add one, so our final answer is 4.094

Find the explicit form of the arithmetic function of p if the first term is 12 and the common difference is 2. Then find the seventh term.​

Answers

Answer:

1st

Step-by-step explanation:

Find the mean for the following group of data item 1, 7, 5, 4, 9, 6, 7, 4

Answers

Mean=(1+7+5+4+9+6+7+4)/ 8=43/8=5.375

Answer:

5.375

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each division expression with the correct quotient. (These are the answers)
18x^(2)+39x+15 over 3x+5 -----> 6x+3
35x^(2)-5x-30 over 5x-5 -------> 7x+6
15x^(2)-44x+21 over 5x-3 ------> 3x-7

Answers

can you answer the question that it’s in blue please

Answer:

18x^(2)+39x+15 over 3x+5 -----> 6x+3

35x^(2)-5x-30 over 5x-5 -------> 7x+6

15x^(2)-44x+21 over 5x-3 ------> 3x-7

Step-by-step explanation:

Plato Gang

Whats the answers to this question?

Answers

Answer:

1) e = 6

2) w = 10

3) s = 27

4) t = 4

Step-by-step explanation:

Cross multiplication

PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED!

Answers

Answer:

Answer is D!

Step-by-step explanation:

y=-3x-2

Substitute x and y values and check

-3(-2) = 6 - 2 = 4

Help fast it’s for a test I do t wanna fail!!

Answers

Answer:

it is decreasing by 1/2 half every number to get the next answer is 6

Step-by-step explanation:

Can someone help with this, please? :)

Answers

Answer:

answer is D i believe

Step-by-step explanation:

Solve the equation:

f÷8=20

Answers

Answer:

f=160

Step-by-step explanation:

all you really need to do is multiply 20 and 8 and you end up with 160

THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) can u do all three of these? Pls thanks!!!! :))

Answers

Answer:

Circle 1: 37.68 ft

Circle 2: 28.26 cm

A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that less than 7, but more than 4 bulbs from the sample are defective

Answers

Answer:

0.04845

Step-by-step explanation:

Probability that less than 7 but more than 4 bulbs from the sample are defective :

P(4 < X < 7) = P(x = 5) + P(x = 6)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

From the question :

p = 0.2 ; 1 - p = 0.8 ; n = 11

P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876

P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969

P(4 < X < 7) = P(x = 5) + P(x = 6)

P(4 < X < 7) = 0.03876 + 0.00969

P(4 < X < 7) = 0.04845

Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable

Answers

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

PLEASE HELP ILL MAKE BRAINLIEST ASAP

The amount of money in a bank account increased by 18.5% over the last year. If the amount of money at the beginning of the year is represented by n, which expression represents the amount of money in the bank account after the increase? Select all that apply.

A
n + 0.185n

B
n + 18.5n

C
1.185n

D
0.185n

E
18.5n

F
19.5n

Answers

Answer:

A

Step-by-step explanation:

11. If you randomly selected 500 U.S. homes, about
how many would be heated with fuel oil?

Answers

Answer:

50

Step-by-step explanation:

Given

Total number of US houses = 500

If 10% were affected by fuel oil

Total number affected by fuel oil = 10% of 500

Total number affected by fuel oil = 0.1 * 500

Total number affected by fuel oil = 50

Hence 50 houses were affected by fuel oil

A banner measures 5.4 feet long. How long does the banner measure in inches and yards?

Answers

Answer:

64.8 and 1.8

Step-by-step explanation:

The banner measure inches in yards are 64.8 and 1.8.

We have given that,

We have to determine the length does the banner measure in inches and yards.

What is the meaning of inches and yards?

An inch is a unit of length in the British imperial and the United States customary systems of measurement. It is equal to 136 yard or 112 of a foot.

Therefore we get the banner measure inches in yards are 64.8 and 1.8.

To learn more about the length visit:

https://brainly.com/question/2217700

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Andrew randomly selects a number from 1-15. What is the probability that the number he selects is an even number?

Answers

Answer:

7/15

Step-by-step explanation:

Probability= Number of even numbers / Total numbers

There are 7 even numbers between 1 and 15

P = 7/15

Help due today asap Plaese help

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

got it right on the test

The equation has a solution of x = 5.



What is the value of k?

k =

Answers

Answer:

K=  -11

Step-by-step explanation:

Patrick has an art supplies box with colored pencils and markers. The ratio of colored pencils to markers is 7:4. If Patrick has 63 colored pencils in the box, how many markers does he have.

Answers

7•x=63 x=9 4•x=4•9= 36 so he has 36 markers i believe

Will give brainliest

Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm2
Enter the exact answer as a decimal.

Answers

Answer:

25

Step-by-step explanation:

a=1/2bh

a=1/2(5)(10)

a=1/2(50)

a=25

Im kinda stuck on this can i get help

Answers

Answer:

6+4=10

7-6=1

6*6=36

1/3*6=2

Step-by-step explanation:

Plug in 6 for x and solve it.

what is the measure of the missing angle?

Answers

115°
A triangle is 180° so add the two degrees given and subtract that from 180; 180-(75+40)
180-155= 65. then a line is 180 degrees so you subtract 65 from 180 and get 115
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