Two brothers went shopping at a back to school sale where all shirts and shorts are the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Write the system of equations for this problem.

Answers

Answer 1

Answer:

Each shirt costs $ 10, while each short costs $ 15.

Step-by-step explanation:

Since two brothers went shopping at a back to school sale where all shirts and shorts are the same price, and the younger brother spent $ 175 on 7 new shirts and 7 pairs of shorts while the older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $ 165, to determine the price of each shorts and each shirt the following system of equations must be considered:

Shirt = X

Short = Y

7X + 7Y = 175

6X + 7Y = 165

7X - 6X + 7Y - 7Y = 175-165

X = 10

7x10 + 7Y = 175

70 + 7Y = 175

7Y = 175 - 70

Y = 105/7

Y = 15

Thus, each shirt costs $ 10, while each short costs $ 15.

Answer 2

Answer:

 

3x + 4y =108

7x + 5y =114


Related Questions

Flying against the wind, an alrplane travels 4700 kilometers in 5 hours. Flying with the wind, the same plane travels 9520 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?​

Answers

Answer:

i think this

Step-by-step explanation:

Let Va = the velocity of the airplane

Let Vw = the velocity of the wind

When flying with the wind:

(Va+Vw)*(4 hours) = 4000

4Va + 4Vw = 4000

4Vw = 4000 - 4Va

Vw = 1000 - Va

When flying against the wind:

(Va-Vw)*(7 hours) = 4200 km

7Va - 7Vw = 4200

Substitute 1000-Va for Vw and solve for Va:

7Va - 7(1000-Va) = 4200

7Va -7000 + 7Va = 4200

14Va = 11200

Va = 800 km/hr

Rate of wind:

Vw = 1000 - Va = 1000 - 800 = 200 km/hour

GIVING 25 PTS URGENT

Answers

Answer:

D) 76 sq in

Step-by-step explanation:

It’s 4 triangles. A=1/2bh

1/2(8)(5)=20 (two of these)

1/2(8)(6)=24

1/2(4)(6)=12

20+20+24+12=76

Simplify: -12x + 5x - x

Answers

Answer:

[tex] - 8x[/tex]

the answer is -8x.

Answer:

-8x is your answer

Step-by-step explanation:

-12x + 5x - x

-7x-x

-8x

i need help <3 <3 < 3 <3 <3 <3 <3 <3 <3 <3

Answers

Answer:

I have study up to 8 class hahahahahah

Answer:

owo - well uh

Jamal and Anna start walking in opposite directions from the same point. Anna walks 0.5 miles every 10 minutes, Jamal Walks 1.2 miles every 30 minutes


How far apart are Jamal and Anna after 1 hour

Answers

Anna

10minutes 0.5

20minutes 1.0

30minutes1.5

40minutes2.0

50minutes2.5

1hour 3.0

Jamal

30 minutes 1.2

60 minutes 2.4


Your awnser is

Anna is 3.0 miles away from Jamal, and Jamal is 2.4 miles away from Anna

corri received money for her birthday. she let lakisha borrow $4.50 and spent half of the remaining money. the next day she received $10.00 from her uncle. after spending $12.50 at the movies she still had $7.75 left. how much money did she receive?

Answers

Answer:

I’m not sure but I would say around 20 bucks or 22somewhere in the 20s

Step-by-step explanation:

Which rule should be applied to reflect f(x)=x^3 over the line y=x?
NEED HELP NOW!!!!! 12 points!!!!!​

Answers

Answer:

A. Substitute -x for x and simplify f(-x)

Step-by-step explanation:

i just did this

Answer:

I just did this

FIND THE AREA OF A TRIANGLE

Answers

Answer:

80

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Help! See the picture below

Answers

yes it is a solution of the equation.

Answer:

12=12, so I believe your answer would be yes. I hope this helps.

Step-by-step explanation:

(4,10)

y = 3x - 2

10 = 3(4) - 2

10 = 12 - 2

+2         +2

12 = 12

Use the Binomial Theorem to expand (x + 1)^6

Answers

Answer:

Here is what i got x^2+6x^5+15x^4+6x+1

Step-by-step explanation:

^ that mark is for exponents btw. For anyone that is new to this

The Binomial Expansion of  [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].

What is Binomial Expansion?

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.

Given:

We have to expand [tex](x+ 1)^6[/tex]

We know the general form of Binomial Expansion

(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]

Here n= 6

So, the expansion of [tex](x+ 1)^6[/tex] is

= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +  

   C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]

= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]

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Find a solution to the following system of equations by graphing
y= 7x + 3
y= 3x -0.5

Answers

Answer: (-7/8, -3 1/8)

Step-by-step explanation:

To find the solution to a system of equations by graphing, you graph the two equations and the solution is where the two lines intersect. Attached is the graph.

Answer:

the answer is (-0.875, -3.125)

7. How do you write a deposit of $15?

Answers

15.00 that’s is technically equal to 15 dollars written in decimal

You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.

What is a deposit slip?

A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.

To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.

To write a deposit slip, you would need to follow these steps:

Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.

Fill in your personal and account information, including your name, account number, and any other required information.

Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.

If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.

Review the deposit slip for accuracy and completeness, and make any necessary corrections.

Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.

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Can someone help me pls. 4x = 24

Answers

Answer:

4x = 24

Divide by 4 to isolate the x

x = 6

4x6=24 so 4x=24 which means x=6

Please help answer this question!!

Answers

Answer:

The answer of this question is 265 feet.

a stack of 150 pieces of paper is 2.5 cm thick how many pieces of paper are in a pile 6.5 CM thick​

Answers

Find the scale factor of the height:

6.5cm / 2.5cm = 2.6

Multiply the known pages by the scale factor:

150 x 2.6 = 390 pieces of paper.

help with math please!!!

Answers

Answer:

[tex]\Huge\boxed{240ft^2}[/tex]

Step-by-step explanation:

Hello There!

The figure shown is a trapezoid with the following dimensions

base 1 = 12ft

base 2 = 20 ft

height = 15 ft

Given these dimensions we need to find the area

We can do this by using the area of a trapezoid formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

Knowing the dimensions all we have to do is plug in the values

[tex]A=\frac{12+20}{2} 15\\12+20=32\\\frac{32}{2} =16\\16*15=240\\A=240ft^2[/tex]

So we can conclude that the area of the floor that needs to be replaced with tile is 240 ft²

ANSWER:
240ft squared

STEP BY STEP:
1) find the area of the square (15x12)
2) find area of triangle (8x15)/2
Add these numbers up (180+60)

Hope this helps

ok soo i am having trouble with this question lol what is 0 divided by 0

Answers

Answer:

0 because 0 is 0 and divided it's 0

100 POINTS!!! Orthographic projection and isometric projection are two ways to show three-dimensional objects in a two-dimensional space, such as on a piece of paper or a computer screen. Each method gives a different perspective. Do some research and then compare and contrast the two methods for displaying three-dimensional shapes. Then try your hand at creating both types of projections for a simple geometric shape using paper, pencil, and a ruler.

In your opinion, what are the pros and cons of each projection? What are the limitations? In which circumstances, environments, or occupations is one type of projection likely preferred over the other? Describe any special tools that might be needed to create the projection. Which projection is easiest for you to interpret visually? Why?

Answers

Example 1:

The pros of Orthographic is that they can show hidden details and all of the connecting parts, they can be annotated to display material and finishes. The pros of Isometric projection is that they dont need many views and it gives accuracy, cons are is created a unorginized apperance by the lack of foreshortening, I would choose Isometric projection because it shows the size of the figure.

Example 2:

Orthographic projection is a good option for showing lots of detail and small things. The limitation is that with all of that detail, they can become quite messy and hard to understand to someone new to them. However, that is one of the pros of Isometric projection. It gives easy detail and is just as good as an Orthographic. Personally, I find Isometric projections easier to interpret.

A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on a person's age, in years. The equation: P = 0.006 y 2 − 0.02 y + 121 gives a person's blood pressure, P , at age y years. A.) Find the systolic pressure, to the nearest tenth of a millimeter, for a person of age 40 years. B.) If a person's systolic pressure is 130.74 mm Hg, what is their age (rounded to the nearest whole year)?

Answers

Answer:

129.8 mmHg

42 years

Step-by-step explanation:

Given the relation :

P = 0.006 y² − 0.02 y + 121

Systolic blood pressure, P

Age, y

A.)

Find P when age y = 40

P = 0.006(40)² − 0.02(40) + 121

P = 9.6 - 0.8 + 121

P = 129.8 mmHg

B)

P = 130.74 mmHg

y =?

130.74 = 0.006y² − 0.02y + 121

130.74 - 121 = 0.006y² − 0.02y

9.74 = 0.006y² − 0.02y

0.006y² − 0.02y - 9.74 = 0

Using a quadratic equation solver :

The roots are 41.99 and - 38.66

Age cannot be negative ;

Hence age = 41.99 = 42 years

Okay I know this is a crazy thing to ask on brainly but would anyone be interested in finishing my Math 4 class for $100 dollars?? my word is good I promise! I just need to pass!!! PLS HELP

Answers

Answer:

ok but I know this is a lie I'm just willing to help

A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?

Answers

Answer:

[tex]6 \times \frac{1}{2} - 3 \times \frac{3}{8} = 1 \times \frac{7}{8} [/tex]

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is

[tex]3\frac{1}{8}[/tex] feet

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

1/2 of 4 is 2.

1/4 of 20 is 5.

We have,

Length of the board = [tex]6\frac{1}{2}[/tex] feet.

The length cut off from the board = [tex]3\frac{3}{8}[/tex] feet.

The remaining length of the board:

= [tex]6\frac{1}{2}[/tex]  -  [tex]3\frac{3}{8}[/tex]

= 13/2 - 27/8

Find the Lcm of 2 and 8.

The Lcm of 2 and 8 is 8.

= (13x4 - 27) / 8

= (52 - 27) / 8

=  25/8

Write it in a mixed fraction.

= [tex]3\frac{1}{8}[/tex] feet

Thus,

The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is  [tex]3\frac{1}{8}[/tex] feet.

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Please ASAP someone help with this Math It's a missing assignment and it needs to be done and I don't know!!!!!!!!!!!!!!​

Answers

slope means how many chapters will be read per x days, y intercept is the starting amount of chapters already read

Each base in this right prism-like figure is a semicircle with a radius of 7 cm.
7 cm
20 cm
What is the volume of the figure?
Give an exact answer in terms of pi.

Answers

Answer:490pi

Step-by-step explanation:just trust me

The volume of the given figure is required.

The required volume is 490π cm³

Volume

r = Radius of semicircle = 7 cm

h = Height of prism = 20 cm

The volume of a cylinder is

[tex]\pi r^2h[/tex]

The volume of the given shape will be half of a cylinder, so

[tex]V=\dfrac{1}{2}\pi r^2h\\\Rightarrow V=\dfrac{1}{2}\pi\times 7^2\times 20\\\Rightarrow V=490\pi\ \text{cm}^3[/tex]

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help plz ill give extra points

Answers

Answer:

B

Step-by-step explanation:

Because its didn't say European

The answer is D “ European monarch ( king or queen)

Measurement of missing angle?

Answers

Answer:

79 degrees

Step-by-step explanation:

180 - 73 - 28 = 79

Because a line is 180 degrees

a school is having a competition to see who can read the most books in one month (30 days). In the first 5 days, Jake reads 4 books. Meanwhile, Amy reads 5 books over 6 days. If they continue at these rates, who will win? By how many books?

Answers

Answer:

Amy will win

Step-by-step explanation:

Jake

4 books ⇔ 5 days

x books ⇔ 30 days

5x = 4*30x = 120/5x = 24 books

Amy

5 books ⇔ 6 days

x books ⇔ 30 days

6x = 5*30x = 150/6x = 25 books

Amy will win by 25 - 24 = 1 book

Do not understand please help
Thank u

Answers

Answer:

43.4

Step-by-step explanation:

You will need to use the phythagoream therom, which is a² + b² = c².  Plug the values in for the variables to get 7² + b² = 44², (c would equal the hypothenuse because the hypothenuse is the longest side of the triangle.)  Square the values to get 49 + b² = 1936.  Subtract 49 from both sides to get b² = 1887, then take the square root of both sides to get b = 43.4 (rounded to the nearest tenth.)  

I am really sorry if I'm wrong, but have a good day/night!  :)

Answer:

Use the Pythagoras' theorem

-the square of the hypotenuse equals to the sum of the squares on the other two side:

a^2 = b^2 + x^2

-given the hypotenuse and another side and asked to find the missing side:

Therefore you play with the equation to make the missing side the subject of formula as I did above.

What’s the area? Please help!!

Answers

We can find the area of each shape separately
The area of the triangle can be found by A = 1/2bh
So the area will be 1/2 times (6+14+6= 26) 26 times 21
The area of the triangle will be 273 ft^2
The area of the square will be A=lxh
So the area will be 14 times 14
So the area of the square will be 196 ft ^2
We then add the area of both shapes together to get the total area
273 + 196 = 469 ft^2

9514 1404 393

Answer:

  469 square yards

Step-by-step explanation:

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(6+14+6)(21) = 273

The area of the square is ...

  A = s^2 = 14^2 = 196

The total area of the figure is the sum of the parts.

  273 +196 = 469 . . . square yards

C G
Write a quadratic function f whose zeros are -9 and 2
I

Answers

Zeros are -2 and -8
Functions are =-2 and -8
(X + 2) (X + 8)
X to the power of 2 + 8x + 2x+16
= x to the power of 2 + 10x + 16

15 L is approximately

Answers

Answer:

Rounding out we have that 15 liters equals 3.96 gallons

Step-by-step explanation:

I hope this halp

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