If 5 shirts and 5 sweaters cost $205, and 6 shirts and 9 sweaters cost $294, what is the cost of one shirt and what is the
cost of one sweater?

Answers

Answer 1

Answer:

one shirt 25.00 one sweater 16.00

Step-by-step explanation:

$\text{one shirt: }\$25,\text{ one sweater: }\$16$

Let x be the cost of one shirt and y be the cost of one sweater; then

5x+5y6x+9y=205=294

The augmented matrix for this system of equations is

[5659205294]

Using Gaussian elimination, divide row one by 5 to get

[161941294]

Multiply row one by −6 and add the result to row two to get

[10134148]

Divide row two by 3 to get

[10114116]

After back substitution, y=16 and x=25.

Answer 2

The cost of one shirt is $25 and cost of sweater is $16.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the cost of one shirt and y be the cost of sweater.

5 shirts and 5 sweaters cost $205

5x+5y=205...(1)

6 shirts and 9 sweaters cost $294

6x+9y=294...(2)

Multiply equation (1) with 6 and equation (2) with 5.

30x+30y=1230..(3)

30x+45y=1470...(4)

Subtract 3 and 4

30y-45y=1230-1470

-15y =  -240

Divide both sides by 15

y=240/15

y=16

Now plug in y value in any of the equation

5x+16(5)=205

5x + 80 = 205

5x = 125

Divide both sides by 5

x=25

Hence, the cost of one shirt is $25 and cost of sweater is $16.

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Related Questions

PLEASE HELP AGAIN. IM TIMES

Answers

Answer:

u didnt put any questions

Step-by-step explanation:

-9,7 with a rotation of 180°

Answers

Answer:

(9,-7)

Step-by-step explanation:

Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.

Find the general term of series 1/2-1+2-4+

Answers

For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.

What is 5/6 of 1/2 on a number line

Answers

Answer:

5/12

Step-by-step explanation:

5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.

Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?

Answers

hi

price  all taxes included is :  9.99 + 0.03*9.99  ≈ 10.29

So change is :  11 - 10.29 = 0.71

Answer:

acualy you would divide 9.99 by 3

A group of Americans participated in a study that involved taking their temperatures during exercise in extreme heat. The participants had a mean body temperature of 104^{\circ} \text{F}104 ∘ F104, degrees, start text, F, end text and a standard deviation of 2^{\circ} \text{F}2 ∘ F2, degrees, start text, F, end text. Doctors analyzing the results prefer to work in degrees Celsius, so they convert the data by applying the formula below to each data point: ^{\circ}\text{C}=\dfrac59(^{\circ}\text{F}-32) ∘ C= 9 5 ​ ( ∘ F−32)degrees, start text, C, end text, equals, start fraction, 5, divided by, 9, end fraction, left parenthesis, degrees, start text, F, end text, minus, 32, right parenthesis If each temperature is converted to degrees Celsius, what will be the mean and standard deviation of the distribution of new temperatures?

Answers

Answer:

the mean is 40 degrees celcius

standar deviaton is 1.11 degrees Celsius

Step-by-step explanation

khan academy

The temperature values of the participants in celcius are :

Mean = 40°CStandard deviation = - 16.67°C

Information about body temperature :

Mean = 104°F

Standard deviation = 2°F

To convert to Celsius temperature :

°C = 5/9(°F - 32)

To temperature values in °C :

Mean temperature :

°C = 5/9(104 - 32)

°C = 40°C

Standard deviation of temperature :

°C = 5/9(2 - 32)

°C = - 16.67°C

Hence, the temperature values in Celcius are : 40°C and - 16.67°C

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Question 9
A room is 16 feet in length. The ratio of the width to the length is 3:4.
What is the width in feet?

Answers

4 feet

Because 16/4 is 4

1) rotation 180° about the origin

Answers

Answer:

Q (0,1) H (3,5) J (5,3)

Step-by-step explanation:

Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.

(x,y) becomes (-x,-y).

So, (0, -1) becomes (0,1).

(-3,-5) becomes (3,5).

And, (-5, -3) becomes (5,3).

Answer: Here you go, hope this helps.

Step-by-step explanation:

Help please asap will mark brainliest !

Answers

Answer:

The answer for G and K is 103

The answer for K and J is 77

The answer for I and H is 43

free 20 points. just answer this question please XD.
what is m<5 if m<2 is 45 degrees and m<3 is 60 degrees?

Answers

Answer:

Ty for the points.

m<5 is 90 degrees.

Answer:

90

Step-by-step explanation:

what is BD?
please help i can’t fail another test

Answers

Answer:

C. 8

Step-by-step explanation:

BD is the altitude of the right triangle.

Apply the altitude theorem of a triangle to find BD. Based on the theorem, thus:

h = √(xy)

Where,

h = BD

x = 16

y = 4

Plug in the values

BD = √(16*4)

BD = √64

BD = 8

Which statements are true about trapezoid ABCD and
its translated image, ABCD? Select two options
3
2
The role for the translation can be written as I
1
3
The rule for the translation can be written as
The rule for the translation can be written as
The rule for the translation can be written as
Trapezoid ABC has been translated 3 units to the
night and 1 on Up
farandi

Answers

Answer:

The rule for the translations can be written as T -3,1(x,y).

The rule for translations can be written as (x,y)➡️(x-3,y+1).

Step-by-step explanation:

Answer:

A, and D

Step-by-step explanation:

Took Unit test edge 2022

The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side of the rectangle.

Answers

9514 1404 393

Answer:

  57.1°

Step-by-step explanation:

The sides of the rectangle are adjacent and opposite the angle, so the measure is ...

  α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°

The angle between the diagonal and the short side is about 57.1°.

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

c. 952.4 in²

Step-by-step explanation:

The figure can be decomposed into a square, a trapezoid and a semicircle

Find the area of each to determine the area of the figure.

✔️Area of square = s²

s = 13 in

Area of square = 13² = 169 in²

✔️Area of trapezoid = ½(a + b)h

a = 13 in

b = 30 in

h = 20 in

Area of trapezoid = ½(13 + 30)20

= 430 in²

✔️Area of semicircle = ½(πr²)

r = ½(30) = 15 in

Area = ½(π*15²)

Area ≈ 353.4 in²

✅Area of the figure = 169 + 430 + 353.4

= 952.4 in²

Raffle tickets cost $36 for 3 tickets.
a. What is the price of 1 ticket?

Answers

The price of 1 raffle ticket is $12

because

[tex]36 \div 3 = 12[/tex]

pick the correct inequality

Answers

Answer:

d

Step-by-step explanation:

the answer is d because it's a closed circle

The volumes of two bodies are measured to be

V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³. Calculate sum and difference in

volumes with error limits.​

Answers

Answer:

Sum of volumes = (16.6 ± 0.03) cm³

Difference of volumes = (3.8 ± 0.03) cm³

Step-by-step explanation:

Solution

V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³.

∆V = ± (∆V₁ + ∆V₂)

= ± (0.02 + 0.01) cm³

= ± 0.03 cm³

V₁ + V₂ = (10.2 + 6.4) cm³ = 16.6 cm³ and

V₁ - V₂ = (10.2 - 6.4) cm³ = 3.8 cm³

Hence, sum of volumes = (16.6 ± 0.03) cm³

and difference of volumes = (3.8 ± 0.03) cm³

-TheUnknownScientist

Step-by-step explanation:

sum = (16.6 ± 0.03) cm³

difference = (3.8 ± 0.03) cm³

A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
A. 5 cm
ОО
B. 10 cm
OC. 20 cm
OD. 40 cm
E. 91 cm

Answers

You would have to figure out the rectangles perimeter then divide

Does anyone know the answer ? :(

Answers

Answer:

If it a khan you can go take a hint and try to find it

Find the value of x (only answer if you're sure)

Answers

Answer:

x = 5.4

Step-by-step explanation:

Ratios:

[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]

Look at the pic smart people

Answers

Answer is 8/10..............

Okay here we go.

They're in different denominators, so we convert 1/5 to 2/10 by multiplying both numerator and denominator by 2.

1 x 2= 2

5 x 2= 10  

So now that 1/5 is equivalent is 2/10, we just add.

2/10 + 6/10= ?

For adding fractions, only add the numerators.

2+6=8 --> 8/10

2/10 + 6/10= 8/10

And so there you go.

1/5 + 6/10= 8/10

Hope this helps!

Find the line of symmetry.

f(x) = -2x2 + 12x - 20

Answers

X=3


Hope this helps :)

WILL MARK BRSINLIEST ANSWER IF GOTTEN RIGHT

Answers

Answer:

16.8km

Step-by-step explanation:

Arc length = 2πr(θ/360)

=2π(8)(120/360)

=16.7551608191

≈16.8km

Answer:

16.8 km

Step-by-step explanation:

Arc length = 2πr (θ/360)

So plug in the values:

2π(8)(120/360)      =        16π(1/3)      =       16π/3

16.75516 ——————> 16.8 km

A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?​

Answers

Draw the picture; you have a right triangle. The guy wire is the hypotenuse
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft

Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.

f(x) = -2x2 + 32x - 126

Answers

Answer:

MAX: (8, 2)

too lazy to write out the solution, sorry.

Answer:

this is what i got -2(x-9)(-7) hope it helps

Step-by-step explanation:

Holly has4/6quart of potato salad. She gives2/6
quart to a friend,
How much potato salad does she have left?

Answers

Answer:

Hi! The answer to your question is [tex]1/3[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Stay Safe!!!

Hope this helps!!

- Brooklynn Deka

32 / (-4) . 3 - (-1)

Answers

87 yes yes yes ok ok ok ok

Answer:

-32

Explanation:

32/ -4 = -8

3 - -1 = 3+1 = 4

-8x4 = -32

Find the equation of the line shown. Enter yoir answwr in slope intercept form​

Answers

Answer:

y = x

Step-by-step explanation:

The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.

Hope this helps!

-Luna

HELP!! What do I do ?

Answers

Omg rlly I can’t help you

An expression is shown.

14a + 7 + 5b + 2a + 10b

What are the coefficient(s) of the expression?

Group of answer choices

14, 7, 5, 2, 10

14a, 5b, 2a, 10b

14, 5, 2, 10

a, b

7

Answers

Answer:

C

Step-by-step explanation:

:)

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