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

(Valley Forge Income Tax Advice) VF is a small accounting firm supporting wealthy individuals in their preparation of annual income tax statements. Every December, VF sends out a short survey to their customers, asking for the information required for preparing the tax statements. Based on 24 years of experience, VF categorizes their cases into the following groups:
Group I (new customers, easy): 15 percent of cases
Group 2 (new customers, complex): 5 percent of cases
Group 3 (repeat customers, easy): 50 percent of cases
Group 4 (repeat customers, complex): 30 percent of cases
Here, "easy" versus "complex" refers to the complexity of the customer's earning situation.
[In order to prepare the income tax statement, VF needs to complete the following set of activities. Activity times (and even which activities need to be carried out) depend on which group a tax statement falls into. All of the following activity times are expressed in minutes per income tax statement.
Group Filling Initial meeting Preparation Review by Writing
senior accounting
1 20 30 120 20 50
2 40 90 300 60 80
3 20 no meeting 80 5 30
4 40 no meeting 200 30 60
The activities are carried out by the following three persons:
Administrative support person: fi ling and writing.
Senior accountant (who is also the owner): initial meeting, review by senior accountant.
Junior accountant: preparation
Assume that all three persons work eight hours per day and 20 days a month. For the following questions, assume the product mix as described above. Assume that there are 50 income tax statements arriving each month.
a. Which of the three persons is the bottleneck?
b. What is the ( implied) utilization of the senior accountant? The junior accountant? The administrative support person?
c. You have been asked to analyze which of the four product groups is the most profitable. Which factors would influence the answer to this?
d. How would the process capacity of VF change if a new word processing system would reduce the time to write the income tax statements by 50 percent?

Answers

Five percwnt of 15 is 80 and 50 is 25

The solution is, c3 = 24 cases, and, c4 = 96 cases.

What is percentage?

A percentage can be stated as a number or ratio that can be expressed as a fraction of 100. A percentage usually represented as a number or ratio expressed as a fraction of 100. It is usually denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number which has no unit of measurement.

here, we have,

given that,

Total time in a week = 40 hours = 2400 minutes

Total time Administrator is utilized = 50 * 20 = 1000 minutes

Total time Senior accountant is utilized= 20% * 50 * 40 = 400 minutes

Total time Junior accountant is utilized = 40%*50*15 = 600 minutes

For Total cases, Total capacity

= Total time / Bottlenck time (Administrator)

= 2400 / 20

= 120 cases

C-3) Capacity of new customers at 20:80 ratio = 20% * 120 = 24 cases

C-4) Capacity of repeat customers at 20:80 ratio = 20%*120 = 96 cases

c-1 = Flow rate

= min ( demand, capacity) for new customers

= 10 new cases / week (20%*50)

c-2 = Flow rate

= 40%*50

= 40 cases / week

c3 = 24 cases

c4 = 96 cases

Hence, The solution is, c3 = 24 cases, and, c4 = 96 cases.

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Express the confidence interval 0.777

ộHE = +0

Answers

He’s right For the answer

can someone explain this for me? i’m a bit confused about it.

Answers

Answer:

4050 cubic feet.

Step-by-step explanation:

Let's first find the volume of the green cube. It is the edge length cubed, or 15^3 which equals 3375.

Now, let's find the volume of the brown pyramid on the cube. To find the volume, multiply the  base of the pyramid by the height, then divide by 3.

Using the edge length of 15, we can find that the square is 15^2 which equals 225.

Multiply 225 by the height 9,

225*9=2025

Then divide by 3.

2025/3=675.

Knowing the volume of the green cube, 3375, and the volume of the brown pyramid, 675, we can find that the volume of the entire figure is

3375 +675=4050 cubic feet.

What is the measure of m?
6
m
18
n
m
=
[?]

Answers

I’d like to think ... that the answer is 18 it seems to be the same length as the line labeled 18 as well

Hope It’s Helps & Is Correct ✌

Answer:

Step-by-step explanation:

the real answer is m=12:))

What is the midpoint of a segment with endpoints at (-4, -8) and (8,10)

Answers

The midpoint for this question is (2,1)

Find the distance between the points ( – 4,10) and (8,10).

Answers

Answer:

12 units

Step-by-step explanation:

(-4 , 10)  ;  [tex]x_{1} = -4[/tex]   and  [tex]y_{1} = 10[/tex]

(8 ,10)  ;    [tex]x_{2} = 8[/tex]      and  [tex]y_{2}= 10[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

              [tex]= \sqrt{(8-[-4])^{2}+(10-10)^{2}}\\\\=\sqrt{(8+4)^{2}+0}\\\\= \sqrt{12^{2}}\\\\= 12 units[/tex]

help me for 20 points

Answers

Answer:

Im not so sure about the answers that i picked if you want to use them use them

Step-by-step explanation:

y=13-2x^2

y=x+7

2=y + x^5

195 Ibs to kilograms​

Answers

Answer:

88.4505 kilograms

Step-by-step explanation:

tom eats 18.7% of his candy he has 300 pieces of candy how much candy does tom have left

Answers

Answer:

He has 244 left

Step-by-step explanation:

18.7% = 0.187

300(0.187) ≈ 56

300 - 56 = 244

Consider the following scenarios, where we apply probability to a game of flipping coins. In the game, we flip one coin each round. The game will not stop until two consecutive heads appear. (a) What is the probability that the game ends by flipping exactly five coins? (b) Given that the game ends after flipping the fifth coin, what is the probability that three heads appear in the sequence?

Answers

Answer:

3.125%

0%

Step-by-step explanation:

A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times

0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125 or 3.125%

Now the probability of three heads appearing in a sequence is 0% because after the second head in a row the game will automatically end.

Part(a): The probability that the game ends by flipping exactly five coins is [tex]0.5[/tex]

Part(b):  The probability that three heads appear in the sequence is [tex]0.5[/tex].

Probability:

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. How likely they are to happen, using it.

Part(a):

The Probability of games ends by flipping exactly five coins is,

[tex]P((TTTHH),(HTTHH),(THTHH),(HHTHH))=(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4[/tex]

Where [tex]p=P(H)[/tex]

When the coin is fair so the probability is,

[tex]P(H)=\frac{1}{2}[/tex]

P(game ends by flipping exactly five coins)=[tex]\frac{2^2}{2^5} =0.125[/tex]

Part(b):

The Probability of games ends by flipping exactly three heads is,

[tex]\frac{2(1-p)^2p^3}{(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4}[/tex]

Where [tex]p=P(H)[/tex]

When [tex]p=0.5[/tex] then the above probability is [tex]0.5[/tex]

Learn more about the topic of Probability:

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Help me please. And don't put answers like dolfjaldjf or something like that. Like no wrong answers for people who just want points. Because I really need this.

Answers

⬇ Hey bud! I really respect you because you need the answer. Anyways, the answer will be down below! :) ⬇

Answer:

0.20(15+x)=6

Step-by-step explanation:

(0.20)(15) + 0.20x = 6

3 + 0.20x = 6

0.20x = 3

x = 3/0.20

x = 15

Rob's Iunch was $15.

Check it:  

15+15=30  

30x0.20=6

Please mark be brainliest once a second person answers! As I'm trying to move up to Genius and recover my points and brainliest's! It will always be appreciated. If you need any help comment down below so I can help you! Have a great day! :D

How many cubes with side length of 1/3 cm does it take to fill the prism?​

Answers

9514 1404 393

Answer:

  120

Step-by-step explanation:

The dimension across the front in terms of cubes is ...

  5/3 cm = 5×(1/3 cm) = 5 cubes

The front-to-back dimension in terms of cubes is ...

  4/3 cm = 4×(1/3 cm) = 4 cubes

The height in terms of cubes is ...

  2 cm = 6×(1/3 cm) = 6 cubes

Then the volume in terms of cubes is ...

  V = LWH = 5×4×6 = 120 cubes

It will take 120 cubes to fill the prism.

5/9 divided by 8/= ?

Answers

the answer is 0.06944 or as a fraction 5/72

!!MATH!! !!100 POINTS!! !!WILL MARK BRAINLIEST!!

Answers

Answer:

PQO = 180

OQR = 180

PQR = 220

Step-by-step explanation:

brainliest

tion
The graph shows a linear function and an exponential function. Compare and contrast the
two functions. Make sure to use vocabulary words.

Answers

The comparison of the functions is

The linear function has a slope of 50 and it is proportionalThe exponential function has a growth factor of 5/3 and an initial value of 1

How to compare and contrast the two functions

From the question, we have the following parameters that can be used in our computation:

The graph of the two functions

For the linear function, we have

y-intercept = 0

Rate = 50/1 = 50

So, the function is

y = 50x

For the exponential function, we have

y-intercept = 1

Rate = 250/150 = 5/3

So, the function is

y = (5/3)ˣ

Comparing the functions, we have

The linear function has a slope of 50 and it is proportionalThe exponential function has a growth factor of 5/3 and an initial value of 1

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A circular railroad sign has a diameter of 20 inches. what is the area of the sign in square inches

Answers

Answer:

100[tex]\pi[/tex] (or about 314)

Step-by-step explanation:

So it's a circle, meaning that the formula for area is [tex]\pi r^{2}[/tex]. r= diameter divided by 2, so r=10. plug into equation and you get 100[tex]\pi[/tex].

314 is when you round pi to 3.14 and multiply by 100.

What’s the work and answer for this? Someone please tell me

Answers

Answer:  14

Step-by-step explanation:

We arrange the number as -3,  1, 7, 8, 18, 19, 42, the old median is 8.

But the median has change to 11 when the number is add, which means that the number is between 7 and 18.

(8 + x)/2 = 11      Where x is the new number

8 + x = 22

x = 14

Explain how solving -4x < 24 is different from 4x< 24.

Answers

Step-by-step explanation:

since it's negative it'll give you a different answer:)

Please answer ASAP. Do not mind the purple thing.

Answers

Answer:

1 4

2 8

3 12

6 24

for next year, its 32

Step-by-step explanation:

cauz 8 divided by 2 is 4

Also since it goes up by four, 3 is 12 and 6 is 24

can someone please help me , i’ll give you brainliest

Answers

Answer:

Option D vertical angles is your answer ☺️☺️

Answer:

Vertical angles

Step-by-step explanation:

∠WTU and ∠STZ are opposite each other; hence they are vertical angles.

GUYS PLEASE DONT SEND LINKS, RANDOM ANSWER, OR DELETED THEM. I JUST WANT HELP FROM THIS QUESTION FOR GOD SAKE

Answers

Answer:

Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.

Step-by-step explanation:

Let the trajectory of the ball be represented by [tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex], where [tex]x[/tex] is the horizontal distance of the ball from origin, in feet, and [tex]f(x)[/tex] is the height of the ball above ground, in feet.

If Deshawn does not block Chris's shot, then we should check if shot will be a goal and this condition must be fulfilled:

[tex]f(25\,ft) < 8\,ft[/tex] (1)

If we know that [tex]x = 25\,ft[/tex], then the height of the ball at the start of the goal is:

[tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex] (2)

[tex]f(x) = 6.95\,ft[/tex]

Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.

Need help alegbra!!! Look at photo for question!!

Answers

Answer

74+2

Step-by-step explanation:

Bella, Tia, and Ron participate in a trivia contest at a book shop. Tia scores 4 points, Ron scores 3 points, and Bella scores 2 points. Each player gets a number of paperback books equal to the square of the points he or she scores. What is the total number of books the players receive?


42 × 32 × 22

42 + 32 + 22


24 × 23 × 22


24 + 23 + 22

Answers

Answer:

4(2 on top) + 3(2 on top) + 2(2 on top)

Step-by-step explanation:

A local movie theater is trying to find the best price at which to sell popcorn. To reach its goal of making at least $50,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business. The firm determined that the best-case scenario for the theater’s revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars. Complete the statements about the system’s possible solutions. The point is of this system. The point is of this system.

Answers

The question is incomplete. The complete question is :

A local movie theater is trying to find the best price at which to sell popcorn To reach its goal of making at least 550,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business The firm determined that the best case scenario for the theater's revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars [tex]$r \leq -0.23p^2+2.25p$[/tex] and r ≥ 5 solutions Complete the statement( a viable solution, both a viable and a nomlable solution). The point (4,6) a nonviable solution The point (6,5) mola bouton of this system of this system.

Solution :

Total amount to be targeted by selling of popcorns in the movie theatre is 550,000.

A viable solution is one which has a definite meaning or definite solution to the question in context whereas a non viable solution does not have a definite relevant solution to the question.

In the context,

The point (4,6) is a non viable solution as it does not satisfy 1st inequality and only satisfies the second inequality.

The point (6,5) is a viable solution as it satisfies both the inequalities.

Answer:

The point of (4,6) is not a solution of this system/

The point of (6, 5) is a viable solution of this sytem

Step-by-step explanation:

Plato LIves Matter

Dont go on bit. ly/3a8Nt8n (virus warning)
SPREAD NEWS PLEASE, THANKS <3
i have no more points from saying this so please at least just one post of this

Answers

okay! thank you so much for the awarness!
Thank you but can u Please help — Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?

Find the measure of the inscribed angle(real answers only please)

Answers

Answer:

46

Step-by-step explanation:

Sum of all the Arcs of a circle = 360.

So, the angle of the 3 arcs is

153 + 115 + x =360

=>268+x=360

=> x = 92

*** x = Arc FG

We know that the inscribed angle is 1/2 times the amount that of the intercepted arc.

=> Inscribed Angle = 1/2 * Intercepted Arc

=>  ? = 1/2* Arc FG

=> ? = 1/2 * 92

=> Angle E = 46

find the area ojefwo rgw hercpx

Answers

Answer:

3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14

Step-by-step explanation:

Solve for x.
109= -x + 267
X=
x 5
?

Answers

Answer:

x=158

Step-by-step explanation:

109=-x+267

-267     -267

-158=-x

x=158

(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)

Can someone help with this question

Answers

the X would be 9! because of that and this

Choose the sets of equivalent expressions (select all that apply)

A. 4x and 5 + x

B. 2b + b and 3b

C. 3x and 3 + x

D. a ÷ 1/3 and 1/3 a

E. a ÷ 1/3 and a × 3

F. 1a and a

Answers

9514 1404 393

Answer:

  B, E, F

Step-by-step explanation:

A. 4x and 5 + x

B. 2b + b and 3b

C. 3x and 3 + x

D. a ÷ 1/3 and 1/3 a

E. a ÷ 1/3 and a × 3

F. 1a and a

_____

Comment on the above

ax is multiplication of x by 'a'. a+x is addition. They are different operations.

x/(1/3) is not the same as x(1/3). Multiplication and division are different operations.

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