You buy 2 shirts and 3 pairs of pants for $50. Your friend buys 3 shirts and 1 pair of pants for $40. What is the cost of
each shirt? of each pair of pants?

Answers

Answer 1

Shirts = 10$ Pants = 10$

Step-by-step explanation:

50 / 5 = 10$

3/1 = 10$

Answer 2
Final answer:

In this system of simultaneous equations, the cost of each shirt (x) equals $5 and the cost of each pair of pants (y) is $25.

Explanation:

This is a system of simultaneous equation problems in Mathematics. Let's denote the cost of one shirt as x and one pair of pants as y. Based on the problem information, you have these two equations:

1) 2x + 3y = 50

2) 3x + y = 40

To solve for x, you can multiply the second equation by three and subtract the first equation from it:

3*(3x + y) - (2x + 3y) = 50

After simplifying, you find that x (cost of each shirt) equals 5.

In order to find y (cost of each pair of pants), you can now substitute x = 5 into the second original equation: 3*5 + y = 40, which gives you y = $25, the cost of each pair of pants.

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Related Questions

What is the probability that a value picked at random from the standard normal distribution will be between -1.96 and 1.96?

Answers

Answer:

P( -1.96 ≤ Z≤ 1.96) = 0.95

Step-by-step explanation:

Explanation:-

Given that the z -scores -1.96 and 1.96

we have to find   P( -1.96 ≤ Z≤ 1.96)

P( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|

                              = |A(1.96)+A(-1.96|   (∵A(-Z) = A(Z))

                            =  0.4750+0.4750

                            = 2×0.4750

                           = 0.95

The probability lies between  -1.96 to 1.96

P( -1.96 ≤ Z≤ 1.96) = 0.95

             

In rectangle ABCE, AC is the diagonal. BD⟂AC at O. AB = 13, OA=5. Find the length of OD and OB
plz answer with explanation

Answers

Answer:

ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?

The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.

The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5

Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So

[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5

= [7.5*1.5*2*4]^0.5

= 90^0.5 sq cm

Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or

2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get

4*90 = [s1(s1-p)(s1-q)(s1-r)]

360 = s1(s1–11)(s1–6)(s1-AD) … (1)

2s1 = AD + 11 + 6 = AD + 17, or

s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get

360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)

360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)

360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)

= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)

= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)

360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or

-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or

0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or

0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or

AD^3 - 168.5 AD^2 + 6492.5 = 0, or

By trial and error, AD = 6.3272

Check: AD^3 - 168.5 AD^2 + 6492.5

6.3272^3 - 168.5*6.3272^2 + 6492.5

253.3- 6745.6 + 6492.5 = 0.2 as against 0

Hence AD = 6.3272 cm.

Answer:

Assuming you really mean the rectangle is ABCD, not ABDE:

Since DB is perpendicular to AC, it must be square.

If OA = 5, then OB = OC = OD = 5

This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.

5^2 + 5^2 =AB^2 = 7.07, not 13

1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1​

Answers

Answer:

The answer is 5/2X - 1/4. The remainder is 23/4.

the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help ​

Answers

Answer:

3

Step-by-step explanation:

9 divide by 3 is 3 itself so the answer is 3

Answer:
The price one drink is $3.

Explanation:

Let $x be the price of one drink.

10 + 3x = 19

3x = 19 - 10

3x = 9

x = 9/3

x = 3

Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?

A. 1/3
B. 3/2
C. 1/4
D. 1/6

Answers

Answer
C. 1/4
I hope this helps!

June's flower bed has a length of 8 feet and a width of seven eighths feet. Is the area of the flower bed larger, smaller, or equal to 8 square feet?

Answers

Answer:

it would be larger. the square footage is 56 square feet.

Step-by-step explanation:

What’s 59+(h-11) ??????

Help me, please............

Answers

Answer:

67%

350/ 210 -1 = .67 x 100%

Answer:

67%

Step-by-step explanation:

21/35

Please help this is due today!

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

perdita is correct

Step-by-step explanation:

perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin

evaluate 3 + jk + k3 when j = 2 and k = 6.​

Answers

Answer:

231

Step-by-step explanation:

A prehistoric site was discovered. The site is a nearly perfect circle

Answers

Answer:

whats the question

Step-by-step explanation:

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4 a pan

Step-by-step explanation:

2 - 1 1/4 = 3/4

two seperated into fourths would look like this

1/4 1/4 1/4 1/4

1/4 1/4 1/4 1/4

one seperated into fourths would look like this

1/4 1/4 1/4 1/4

so take one and one extra fourth away from two and you're left with

1/4 1/4 1/4

add that together and you have 3/4

One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?

Answers

Answer:

7 sides

Step-by-step explanation:

120 + 130x = 180 * (x+1-2)

120 + 130x = 180x - 180

300 = 50x

x = 6

You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.

Answer:

7

Step-by-step explanation:

Volume of of 7cm 4cm 5cm

Answers

140cm yes this is totally the answer

Answer:

140

Step-by-step explanation:

You multiply 7 by 4 you get 28. Then multiply 28 by 5 you get 140.

Chris received $50,000 from his grandparents as a graduation gift. So, he has decided to invest the money
to pay his living cost at a college, which is $3,000 a year. There are two options: a bond that pays 12% and
a CD that pays 5%. How much should he invest in the bond? [Please round your answer to 2 decimal places.]

Answers

Answer: $7142.86

Step-by-step explanation:

Let the amount to be invested in the bond be represented by y.

Based on this, the amount to be invested in the CD will be: = 50000 - y.

From the information given, yearly interest on bond is 12%, this will be:

= 12% × y = 0.12 × y = 0.12y

Also, interest on CD will be:

= 5% × (50000 - y)

= 0.05(50000 - y)

Then, the equation to get the amount to be invested in bond will be:

0.12y + 0.05(50000 - y) = 3000

0.12y + 2500 - 0.05y = 3000

0.12y - 0.05y = 3000 - 2500

0.07y = 500

y = 500/0.07

y = 7142.8571

y = 7142.86

The amount to be invested in bond will be $7142.86

A garden table and a bench cost $793 combined. The garden table costs $43 more than the bench. What is the cost of the bench?​

Answers

Answer:

The bench costs $375

Step-by-step explanation:

t + b = 793

t = b+43

(b+43) + b = 793

2b + 43 = 793

2b = 750

b = 375

The bench costs $375

375$ :) im
sorry if its in correct i tried my best

find the value of y and (4x+8)°​

Answers

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

Find the percent change from the first value to the second.
40;72 (show how you got your answer for a brainliest)​

Answers

Answer:

80% increase

Step-by-step explanation:

There are two ways to do this

The first way is to set up a percent proportion

[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]

To find x, we can do:

x = [tex]\frac{72 * 100}{40}[/tex]

x = [tex]\frac{7200}{40}[/tex]

x = 180

72 is 180% of 40

There is an 80% increase.

The second way to do it (the way I find easier) is to use benchmark fractions:

We look at 40 and 72 and realize that (40 * 2) - 8 = 72

So 200% of 40 - 8 = 72

Then, we find out what percent of 40 is 8.

10% of 40 is 4

so that means 20% of 40 is 8 (10% * 2 = 4 * 2)

Then we do:

80 - 8 = 72

200% - 20% = 180%

72 = 180% of 40

Which is an 80% increase

Let me know if you have any questions

David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
A. $30
B.$45
C$60

Answers

Answer:

$60

Step-by-step explanation:

3x20=60

It’s 60 because 20x3 is 60

If a cable repairman is supposed to show up to for a repair between 1:00pm and 6:00pm and the home owner can’t be homeuntil 3:00pm, what is the probability that the home owner will be home when the cable repair man shows up (assuming the repairman is equally likely to come at any time during the specified range)?

A) 60%
B) 65%
C) 70%
D) 75%

Answers

Answer:

60%

Step-by-step explanation:

3/5 likely, because there are five hours when the repairman could show up.

Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%

Answer:

for da other guy to get brainliest

Step-by-step explanation:

3. The 7th grade students took a survey about which pizza company the students

preferred: Papa John's, Dominos or Pizza Hut. There are 64 students in the 7th

grade.

If 5 out of 8 students chose Papa John's, how many students chose Papa

John's? How many did not?

Answers

Answer:

40 students choose Papa John's, and 24 did not

Step-by-step explanation:

This question can be solved by proportions, using rule of three.

For each 8 students, 5 chose Papa John's. Out of 64, how many choose?

5 - 8

x - 64

Applying cross multiplication

[tex]8x = 5*64[/tex]

Simplifying by 8

[tex]x = 5*8 = 40[/tex]

40 students choose Papa John's.

In all, there are 64 students, so 64 - 40 = 24 did not

PLS HELP IF YOU ANSWER I WILL GIVE BRAINLIEST ANSWER!

Answers

Townnet I believe im sorry if I’m wrong

Find the area of a triangle with a base of 7 cm and a height of 3 cm.
21 cm squared
10.5 cm squared
20 cm squared
10 cm squared

Answers

Answer:

10.5 cm

Step-by-step explanation:

took the test

Please help me Answer this :)
( Will give brainlst!!)

<3

Answers

Answer:

( it's below)

Step-by-step explanation:

a. electron

b. proton

c. neutron

d. electron shell

Answer:

a:Electron

b:proton

C:neutron

d:electron shell

what is the perimeter, in centimeters, of a right triangle that has leg lengths of 8centimeters and 11 centimeters? round to the nearest tenth

Answers

Answer:

90

Step-by-step explanation:

8 x 11 = 88

So now you have to add 2 to get to the nearest 10. ;)

impact of humour in specific language structure​

Answers

Answer:

Summary

Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:

a pack of pens cost $3. Prisha spent $12 on pens. Each pack has 5 pens How many packs did Prisha buy?

Answers

Answer: 4

Step-by-step explanation: I think

$12 divided by $3/pack = 4 packs of pens.


4 packs x 5 pens = 20 pens (if there’s a follow-up question)

Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >

Answers

Answer:

<

Step-by-step explanation:

hhahaha

what is 0.46 as a fraction in simplest form, a fraction of 100, and a percent​

Answers

Answer:

46/100

23/50

46%

Answer:

bleh

Step-by-step explanation:

so that da other guy can get brainliest

Which statement about the graph of y
3x + 5 is correct?

A. The line passes through the ordered pair (3,0) and has a slope of 5.

B. The line passes through the ordered pair (0,5) and has a slope of 3.

С. The line passes through the ordered pair (5,20) and has a slope of 5/3

D. The line passes through the ordered pair (3, 14) and has a slope of 3/5

Answers

It is B as 5 is the y intercept in the equation. Checked with a graphing calculator. B is the answer

The correct statement for the equation of the line is the line passes through the ordered pair (0,5) and has a slope of 3.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Compare the given equation of the line y = 3x + 5 with the general equation.

y = mx + c

y = 3x + 5

The slope, m = 3

y-intercept = 5

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Use the given points to answer parts 1, 2, and 3. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your
solution.
(6, 1) and (5, 4)
Part 1: Find the slope of theline that passes through the given points, (6, 1) and (6,4).
Part 2: Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).
Part 3: Write the slope-intercept form of the line that passes through the points (6, 1) and (5, 4).

Answers

Answer:

Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).

Step-by-step explanation:

Other Questions
consider the following. f(t) = t sin(t) g(t) = 1 t find f (t) and g (t). f (t) = g (t) = differentiate. y = t sin(t) 1 t y = [Brainliest for whichever provides thorough answers and comprehensive responses. Thank you. ]Jessica Creditsmart is a college senior. Her parents gave her a credit card when she turned 17 by making her an authorized user on their credit card. As an authorized user on their account, she benefited from her parents diligent credit card habits. She also has a few student loans in college that she will start repaying after she graduates. Here are some details about her for the profile:For each of Jessicas actions, mark whether you think that factor improves (+) or decreases (--) her credit score. 1) She currently has 1 credit card1 (cont) She got this first credit card more than 15 years ago. This is a great credit score hack; she benefits from the fact that her parents had this credit card for 15 years. 2) She got her first student loan 3 years ago3) She has received one student loan in the last year4) She got that student loan over six months ago5) Only her three student loans carry a balance, since she and her parents always pay the credit card bill off in full every month6) She has $15,000 currently outstanding on her student loans7) She (and her parents) have never missed a payment8) None of her loans or credit cards are past due (and her parents are always on time with their credit card)9) Since she and her parents pay off the bill every month, she has $0 balance10) She has never gone through a bankruptcy or other negative proceedingQuestions:1. What do you think Jessicas credit score is (from a range of 300-850)?2 Now, go to the myFICO Credit Score Estimator and use Jessicas information to complete it. What is Jessicas estimated credit score? 3. 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Set a seed of 1, and then run Monte Carlo simulations for two stocks (Stock A and Stock B), each with 10,000 runs lasting over a period of 252 days. Both stocks being simulated have a current price of 120. Stock A has an expected annual yield of 8% and a volatility of 0.2. Stock B has an expected annual yield of 5% and a volatility of 0.5. Calculate the following: The proportion of the simulated runs in which Stock A has a higher final price than Stock B. The proportion of the simulated runs in which Stock A has a final price greater than 150. The proportion of the simulated runs in which Stock B has a final price greater than 150. The proportion of the simulated runs in which Stock A has a final price less than 100. The proportion of the simulated runs in which Stock B has a final price less than 100. 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A contingent liability is recognized as an expense currently in pretax financial income but not deductible for income tax purposes until paid. Set course_student's last_name to Smith, age_years to 20, and id_num to 9999. Sample output for the given program:Name: Smith, Age: 20, ID: 9999code:class PersonData:def __init__(self):self.last_name = ''self.age_years = 0def set_name(self, user_name):self.last_name = user_namedef set_age(self, num_years):self.age_years = num_years# Other parts omitteddef print_all(self):output_str = 'Name: ' + self.last_name + ', Age: ' + str(self.age_years)return output_strclass StudentData(PersonData):def __init__(self):PersonData.__init__(self) # Call base class constructorself.id_num = 0def set_id(self, student_id):self.id_num = student_iddef get_id(self):return self.id_numcourse_student = StudentData()last_name = 'Smith'age_years = 20id_num = 9999print('%s, ID: %s' % (course_student.print_all(), course_student.get_id())) sarasota, florida's financial statements refer to an entity called the downtown improvement district (DID). Based on the following information, state (1) whether DID should be reported as a component unit of Sarasota and (2) if, so, whether it should be blended or discretely reported. Give reasons for your answers. DID was created by City ordinance. The physical boundaries include all non-residential parcels of property within the downtown core of the City of Sarasota. The City refers to DID as a "dependent taxing authority" because DID has the power to levy up to two mills of property taxes - with the approval of the City Commissioners - for the purpose of purchasing supplemental services such as maintenance. security, sanitation, promotions, infrastructure, and capital improvements. 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