Andrea is buying some new shirts and sweaters. She is Able to buy three shirts and two sweaters for $113 or she is able to buy T-shirts and four sweaters for 166 how many dollars does a shirt cost how many dollars does a sweater cost

Answers

Answer 1

Answer:

y = 28.75

x = 26.5

Step-by-step explanation:

I think the amount of the second T-shirts purchased should be 2

Let the cost of each shirt be $ x, and the cost of each sweater be $ y.

Since the cost of each shirt is $ x, the cost of 3 shirts will be $ 3x and the cost of 2 shorts will be $ 2x.

Likewise, cost of each shirt is $ x, so the cost of 2 shirts will be $ 2x and cost of 4 sweaters will be $ 4y.

Andrea was able to buy 3 shirts and 2 sweaters for $113. This means:

         Cost of 3 shirts + Cost of 2 sweaters  = 113

                 Equation 1:       3x + 2y = 113

She was able to buy p shirts and 4 sweaters for $166. This means:

                      2x + 4y = 166

Dividing both sides by 2, we get:

                  Equation 2:    x + 2y = 84                                            

Subtracting Equation 1 from Equation 2, we get:

x + 2y - (3x + 2y) = 166 - 113

x + 2y - 3x - 2y = 53

2x = 53

x = 26.5

Using the value of x, in Equation 2, we get:

26.5 + 2y = 84

2y = 57.5

y = 28.75

Since, x represents the cost of shirt, the cost of each shirt is $ 26.5.

y represents the cost of sweater, so the cost of each sweater is $ 28.75.


Related Questions

which is irrational?
-12/3 , 9.1293… , 10.55..?

-5/19 , checkmark81 , checkmark30

3.1415.. , -2pi , checkmark16/2

0.5 , - checkmark100 , 4.23

Answers

Answer:

3.1415.. , -2pi , checkmark16/2

Step-by-step explanation:

maybe this i dont really know im only here for the points since i need help with math too

Cindy paid $16.50 for 3 cups of iced milo and 2 fish burgers.Each fish burger cost $1.50 more than a cup of iced milo.How much money did Cindy pay for one cup of iced milo

Answers

Answer:

$2.7

Step-by-step explanation

16.5 = 3m+2b

b = 1.5+m

16.5=3m+2m+3

16.5=5m+3

13.5=5m

m=2.7

Help plz. I will give brainilest!

Answers

Answer:

4.35

Step-by-step explanation:

Make the numerator improper, by doing 8x4+3 which equals 35. And then drag that whole number to the front and slap a decimal between the whole number (4) and your new numerator (35)! Which would be: 4.35

Use rulers and compasses to draw a line which is perpendicular to line AB at point C

Answers

Answer:

Draw a line AB

Take a point C on AB

Fix the tip of compass at C and with a fix radius, cut AB on both sides of C

Mark those points D and E

Fix the tip of compass on D, and with the same radius, draw an arc above C

Do the same with E

Those two arcs will intersect at a point, mark the point F

Make a line passing through both C and F

Line CF is perpendicular to AB

cscy-siny=cosy(coty)

Answers

Step-by-step explanation:

[tex]\csc y - \sin y = \dfrac{1}{\sin y} - \sin y[/tex]

[tex]\:\:\:\:\:\:\:\:=\dfrac{1 - \sin^2y}{\sin y}[/tex]

[tex]\:\:\:\:\:\:\:\:= \dfrac{\cos^2y}{\sin y}[/tex]

[tex]\:\:\:\:\:\:\:\:=\cos y \left(\dfrac{\cos y}{\sin y}\right)[/tex]

[tex]\:\:\:\:\:\:\:\:= \cos y \cot y[/tex]

A book sold 33,100 copies in its first month of release. Suppose this represents 7.8% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.

Answers

33100 = 7.8% of total
33100 = .078 x total (change from percent to decimal)
33100/.078 = total (divide both sides by decimal)

424358.9 = total

Round to 424,359 copies.

Find the value of x that makes line u and like v and parallel.

Answers

Answer:

6

Step-by-step explanation:

130 = 20x + 10

120 = 20x

6 = x

Answer:

6

Step-by-step explanation:

12x÷×5642579052

yjgrjhihdj

Is 6 hours correct guys?

Answers

Answer:

yes it 6 hours

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

if the jacket is 32$, then we have to go beyond the graph, and make a function line.

so we can find the slope, how much money does she get per hour?

she gets 4$ per hour, meaning the equation is y=4x

y is the amount of money, x is the amount of hours.

substitute our desired amount of money, 32

32=4x

divide each side by 4 and you get 8

You buy tomatoes at
$1.29 per pound and peppers at $3.99 per pound
to make salsa. Write an expression for the total
cost of the ingredients. Then find the total cost of
5 pounds of tomatoes and 2 pounds of peppers

Answers

Answer:

Expression:

1.20p + 3.99p

Now subsitutute p with the number of pounds given for both tomato and pepper.

1.20(5) + 3.99(2) = $13.98

What is the equation of the line that passes through the point (2, 1) and has a
slope of 3/2?

Answers

Given :-

A line having a slope of 3/2 passes through (2,1) .

To Find :-

The equation of the line .

Answer :-

According to the question ,

m = 3/2 Point = (2,1)

We know Point slope form of the line as ,

y - y¡ = m ( x - x ¡ )

Substitute ,

y - 1 = 3/2 ( x - 2 ) y - 1 = 3/2x - 3/2*2y - 1 = 3/2x - 3 2( y -1) = 3/2x *2 - 3*22y - 2 = 3x - 6 3x - 2y -4 = 0

Hence the equation of the line is 3x -2y-4=0 .

Answer:

Step-by-step explanation:

Use the form y = mx + b and plug in your known point

y = 3x/2 + b

1 = 3(2)/2 + b

1 = 3 + b

b = -2

y = 3x/2 - 2

we can use a plotting calculator to verify our result.


Find the equation of a line that contains the points (-3,-1) and (-4, -7). Write the equation in slope-intercept form.

Answers

Answer:

y = 6x + 17

Step-by-step explanation:

First you can find the slope:

m = (y2-y1) / (x2-x1)

m = (-7 - (-1)) / (-4 - (-3))

m = (-7 + 1) / (-4 + 3)

m = -6 / -1

m = 6

_______

Then we can plug what we know into the point-slope form:

y - y1 = m (x - x1)

(you can pick either one of the points to plug in as (x1, y1))

y - (-7) = 6 (x - (-4))

y + 7 = 6 (x + 4)

_______

Now we can change the point-slope form into slope-intercept form by solving for y:

y + 7 = 6 (x + 4)

y + 7 = 6x + 24

y = 6x + 17

The length of a rectangle is three times
the width. The perimeter of the rectangle
is 24 inches. Write and solve an equation
to determine the width of the rectangle.

Answers

Answer: 3 inches

Step-by-step explanation:

Let x= width of rectangle

Let y=length of rectangle

y=3x, 2x+2y=24

Substitution:

2x+2(3x)=24

8x=24

x=3

guys pls answer my question i am very confused

Answers

Given 2y = 5(3 + y):

You’ll have to solve for y:

Start by distributing 5 into (3 + y):

2y = 5(3 + y)
2y = 15 + 5y

Subtract 15 from both sides:
2y - 15 = 15 - 15 + 5y

2y - 15 = 5y

Then, subtract 2y from both sides:
2y - 2y - 15 = 5y -2y

-15 = 3y

Then , divide both sides by 3 to solve for y:

-15/3 = 3y/3

-5 = y

Therefore, y = -5
Answer : Y = -5

You’re solving for Y

first distribute, then combine like terms 5(2x+7)+4x

Answers

Answer:

14x+35

Step-by-step explanation:

10x+4x=14x

5*7=35

Answer:6x+12

Step-by-step explanation: combine like terms.

Frida owed
$75
on
her credit card. Then she charged
$21
more. What was her new
balance?

Answers

She owes 96 more dollars
$96 is how much she owes

A pigeon was sitting 15 feet from the base of a telephone pole and flew 25 feet to reach the top of the pole. How tall is the telephone pole?

Answers

I don’t know which one of us is right, but I got 20ft

The difference between 5 times a number and the number is 28 equation

Answers

Answer: I think the number would be 7

Which sentence illustrates the commutative property for addition? (1) (a+b)+c=a+(b+c)
(2) a(b+c)=ab+ac
(3) a+0=a
(4) a+b=b+a

Answers

Answer:

the answer is 2a(b+c)=ab+ac

Answer:

The 4th option is correct. a+b = b+a

Step-by-step explanation:

Which number is larger, 4.7 or 4.7777 77777? Explain your answer.​

Answers

Answer:

4.7777 is larger

Step-by-step explanation:

4.7777 can be approximately written as 4.8

4.8 > 4.7

4.7777 > 4.7

Which statement about this mapping is true?

The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.

The mapping represents y as a function of x, because each x-value is related to exactly one y-value.

The mapping does not represent y as a function of x, because there are more x-values than related y-values.

The mapping represents y as a function of x, because each y-value is related to exactly one x-value.

Answers

Answer:

The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.

Step-by-step explanation:

See it's not a function

Because In a function every c value has a unique y value.Here there is 4 values for one x .So it's a relation

The statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

WE have been given a domain figure.

We can see that the input values has more than one output values.

therefore, it cannot be a function Because in a function every input value has a unique y value.

Here there is 4 values for one x input.

x = 3

y = 2, 4, 5, 6

So it's a relation

Hence, the statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Solve This

[tex]6 {}^{2} \times 6 {}^{3} [/tex]

[tex]( \sqrt{103} [/tex]

Answers

Hey there!

Question #1

6^2 × 6^3

6^2

= 6 × 6

= 36

6^3

= 6 × 6 × 6

= 36 × 6

= 216

36 × 216

= 7,776

6^2 × 6^3

= 6^5

• Question #1 answer: 7,776 or 6^5 either answer should work because both answers are equivalent

Question #2

√103

= 10.148892

• Question #2 answer: 10.148892

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

[tex] \small \sf \: 6 {}^{5} [/tex]

Alternate form: - 7776.

Step-by-step explanation:

1). 6² × 6 ³.

6² = 6 × 6 = 366³ = 6 × 6 × 6 = 216

6² × 6³ = 36 × 216 = 7776.

Or,

6² × 6³

= [tex] \sf \small \: 6 {}^{2 + 3} [/tex]= [tex] \small \sf \: 6 {}^{5} [/tex]

Look for a pattem to find the value of n

Answers

Answer:

It's 0.

Step-by-step explanation:

When you started counting from the left to the right. You will notice that the numbers get increased. At the 3 as a x-value, there would be 0.

This might surely help you ☺️❤️.

Keep studying and rest doubts leave on us. ❤️❤️

solve pls brainliest

Answers

Answer:

a) -10

b) +150

Answer: (a.) -50/5=-1          (b.) 5*30=+150

Step-by-step explanation:

(a.) each stock went down by -10x5=-50

(b.) 5x10=50.  50x3=150

half way I was doing this it got deleted

_:65=9:13
please help mee

Answers

Answer:

45

Step-by-step explanation:

We can divide

65 divided by 13.

65 divided by 13 is 5.

Now we mutliply that 5 to the 9.

9 times 5 is 45.

7.) She offered the Sharks 15% of her company for $30,000. How much is her
company worth? (Hint, Use a proportion to find what 100% of her company is
worth)
% 15
100%
$ 30,000
X

Answers

Answer:

100

Step-by-step explanation: 30/15=2   2*50=100

Mason goes to a store an buys an item that costs xx dollars. He has a coupon for 30% off, and then a 7% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Mason paid at the register.

Answers

THE TOTAL AMOUNT THAT MASON PAID IS 549

Consider the parabola given by the equation: y = 1x^2 - 12x + 27

A) the vertex = (_,_)

B) the y-intercept is the point (0,_)

C) find the two values of x that corresponds to the x intercepts of the parabola and write them as a list separated by commas:
X= ___

Answers

Answer:

vertex: (6, -9)

y intercept: (0, 27)

X = 3, 9

Step-by-step explanation:

Finding Vertex (Part A)

Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.

y = 1x^2 - 12x + 27

a = 1

b= -12

c =27

-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)

When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.

y = 1(6)^2 - 12(6) + 27

y = 36 - 72 + 27 = -9 (y-coordinate of vertex)

--------------------------------------------------------------------------

Y- Intercept (Part B)

When looking for the y-intercept your "x" must always be 0.

Substitute 0 in every "x" in equation.

y = 1(0)^2 - 12(0) + 27

y = 27

y intercept: (0, 27)

------------------------------------------------------------------------------

X- Intercepts (Part C)

To find the values of "x" factor.

y = 1x^2 - 12x + 27

0 = 1x^2 - 12x + 27

0 = (x  - 3     )(x   -  9 )

(x-3) = 0             (x-9) = 0

x = 3                    x = 9

pls answer the question important

Answers

Step-by-step explanation:

no they are not parallel

Answer:

not equal

Step-by-step explanation:

its not parallel because sum of angles of alternate angle are not equal.

A box is formed by cutting congruent squares from the corners. Find the maximum volume of a box made out of a 14 inch by 18 inch cardboard. Find
the lenth of the side of the cut out square. Round to the nearest hundredth place "hint: you may have to change your window in desmos.
Jinches
a. Maximum volume
b. length of side of square: x=
inches

Answers

Answer:

Step-by-step explanation:

V = x(14 - 2x)(18 - 2x)

V = (14x - 2x²)(18 - 2x)

V = (252x - 28x² - 36x² + 4x³)

V = 4x³ - 64x² + 252x

V' = 12x² - 128x + 252

0 = 3x² - 32x + 63

x = (32 ±√(32² - 4(3)(63))) / (2(3)

x = (32 ± √268) / 6

x = 8.06 inches, which we ignore as this would mean we have no material left at all in the 14 inch dimension.

or

x = 2.60488... 2.60 inches

Vmax = 0.60(14 - 2(2.60))(18 - 2(2.60)) = 292.86478... = 292.86 inches³

Lori is solving the equation 4x2 + 5x - 6 = 0 using the quadratic formula. Which
expression shows the correct numbers substituted into the quadratic formula to
solve?

Answers

Answer:

[tex] \frac{ - 5 + \sqrt{( {5})^{2} } - 4(4)( - 6) }{ 2(4)} [/tex]

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