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.

To learn more on Equation:

https://brainly.com/question/10413253

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Related Questions

Find the measure of A as indicates in the picture.

In case the picture blurs

Top angle = x + 63

Left angle = x + 96

Right angle = x + 149

Answers

Answer:

∠A = 58°

Step-by-step explanation:

all triangles contain 180°

180° - 149° = 31°

x + 63° + x + 96° + 31° = 180°

combine like terms:

2x + 190° = 180°

2x = -10°

x = -5°

∠A = -5° + 63° = 58°

14 Emma scored a 76, 90, 83, 95, 88, 96, 94, 96, 98, and 96 on her science tests last quarter. What is the mean absolution deviation of the data? Round to the nearest tenth​

Answers

Answer:

the answer's 5.6

5.56 but rounded its I think 5.6

don't trust my answer.

Please Hurry) Consider the quadratic equation 3x^2 - 6 = 2x. A) What is the value of the discrimination? B) What does the discrimination of the quadratic equation tell about the solutions to 3x^2 - 6 = 2x?. ( Will Mark Brainliest). Show your work. ​

Answers

Answer:

A. 76

B. We will get two real solutions for the equation.

Step-by-step explanation:

A

For any quadratic equation ax²+bx+c=0, the discriminant is b²-4ac.

In 3x²-2x-6=0, a=3, b=-2 and c=-6:

b²-4ac

(-2)²-4(3)(-6)=4+72=76

B.

When the discriminate is positive we get two real solutions to the equation, when it's zero we get one real solution, and when it's negative we get two complex solutions. Since our discriminate, 76, is positive, we know that we will get two real solutions to 3x²-6=2x.

Help on this one please Thanks so much

Answers

Answer:

AD is one-fourth the length of CE

Step-by-step explanation:

c Find the distance between the points L and B.

A) 2

B) 3

C)4

D)6​

Answers

Answer:

The right answer is D

L and B are on y = -4

L in on x=-4 and B on x=2

So, the distance is

|-4|+2=4+2=6

Pls awnser I will give brainliest

Answers

9514 1404 393

Answer:

  C.  22/7

Step-by-step explanation:

You may be aware that 22/7 is a value used to approximate π almost as often as is 3.14.

__

In case you actually want to carry out the calculations, you have ...

  C = πd

  π = C/d

  π ≈ (60 3/50)/(19 11/100) = (3003/50)/(1911/100) = 6006/1911 = 22/7

  π ≈ 77/(24 1/2) = 77/(49/2) = 22/7

  π ≈ (86 9/10)/(27 13/20) = (869/10)/(553/20) = 1738/553 = 22/7

  π ≈ 99/(31 1/2) = 99/(63/2) = 22/7

is this a function ? please help !

Answers

Answer:

Well it is a function because the way I’m looking at it is that the lines never overlap each other except for the X and y axis but those arent lines. The line is just straight and nothing else overlaps or courses it. So it Is a function.

HELP PLS DUE IN 1 MIN HELPPPPPPP


G/4>12

Answers

Answer:

G>48

Step-by-step explanation:

48/4=12

G/4>12

G>12x4=g>48

Two stores sell painting kits. Store 1 charges $12.50 for the painting kit, and customers can buy additional paintbrushes for $0.75 each. The table shows the total cost of purchasing a painting kit plus additional paintbrushes from Store 2, where each paintbrush costs the same amount.

Answers

Answer:

14$

Step-by-step explanation:

Please mark brainliest

Please help, test due in 2 hours! Will give good review and brainliest. :)

Answers

Please mark me brainliest!!!!

It would be 86.283616915 but rounded, would be 86.

Hope this helps!

****For density you would divide mass by volume

How many lines of symmetry does the figure below have?

Answers

C

Step-by-step explanation:

I got 4 lines of symmetry going horizontal and vertical, and two diagonal

PLS HELP ASAP
i don’t understand the question and i cant leave this test to go look at the answer

Answers

Answer:

y-8

Step-by-step explanation:

Answer:

y-8

Step-by-step explanation:

1) Use coordinates

C (-1, 3) C' (5, -5)     3-(-5)=8     The triangle is translated down so you write y - 8

2) Count from the line that C is on to C'

I need the mean, medium, and the mode for these numbers [4,10,11,15,16,16,18,19]​

Answers

Hello here would be your answers:

mean: 13.6  

mediun: 15.5  

mode: 16

remember it like this

Mean is the average

Mode is the most often number

Range is when you subtract the smallest number from the largest number

Medium is the middle number when you line it up from the greatest to the least.

hope this helps!

I need helpppp plssss anyone I’m not the best at math :/

Answers

Answer:

C

Step-by-step explanation:

Juan has had his model approved and is now able to start construction on it. The model is 3 feet and 5 inches tall. If the scale for the actual barn is 1 inch = 11 feet, how tall will his barn be?

Answers

Answer:

451 feet tall

Step-by-step explanation:

3*12=36

36+5=41

41*11= 451

Help .....................

Answers

Answer:

1. 8 is bigger

2. -9 is bigger

3. 12 is bigger

Step-by-step explanation:

Watch help vile
Write an explicit formula for an, the nth term of the sequence 19, 25, 31, .....

Answers

19,25,31,37,43,49,55,61, 67
67 is the ninth term!!

I need help if correct I will mark you

Answers

Step-by-step explanation:

option 1: 15+15+15=45

option 2: 50 usd

you tell me which is better

Help me please! I will mark brainliest for whoever gets it right the fastest.

Answers

Answer:

274

Step-by-step explanation:

What is the answer please help no links I will report

Answer choices

Five days

Four days

Six days

Answers

Five days.

Monday, Tuesday, Wednesday, Thursday, and Saturday are all above 15 on the chart.
Five days because the whole week is above 15

A die with 8 sides is rolled. What is the probability of rolling a number less than 3

Answers

Answer: 6/8

simplify by 2 and you get 3/4 your answer is 3/4

Step-by-step explanation:

4 1/2 times 2 2/5 times 3 3/4 equals

Answers

Answer:

[tex] 40 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]

[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]

[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]

[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]

[tex] = \dfrac{81}{2} [/tex]

[tex] = 40 \frac{1}{2} [/tex]

Answer:

4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5

Hope this helps!

If it’s right I will give Brainlyist

Answers

Answer:

its F

Step-by-step explanation:

because 1+1 is AxB is 21

Help me pls I really need help

Answers

I think is 200 minutes

In a rectangular prism, given a base area of 64 cm2 and a
height of 7.2 cm, what would be the volume of the
figure?

Answers

Answer:

46.8 cm^3

Step-by-step explanation:

PLEASE HELP DUE IN 2 HOURS!


4.22 g/cm to lbs/ft

Answers

Answer:

I dont know if this helps

0.009 3 0 3 5 0 7

I think this is the answer

PLEASE HELP!!!
Hshehebsjahsvsvabsbbsbs

Answers

Answer:

i think its like 9.14 or sumthin

Step-by-step explanation:

is tht NWEA? lol

Does anyone know the answer ? :(

Answers

Answer:

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

Find the circumferences of both circles to the nearest tenth.

Two circles lying one inside the other. The inner circle is shaded orange and the outer circle is shaded blue. The radius of the inner circle is labeled 5 centimeters. The distance between the outer and the inner circle is circle is labeled 5 centimeters.

The circumference of the blue circle is about
cm.

The circumference of the orange circle is about
cm

Answers

Answer:

The circumference of the blue circle is about  

62.8 cm.

The circumference of the orange circle is about  

31.4 cm.

Step-by-step explanation:

First the blue circle, it shows that there are 5 cm on the outside of the orange circle so the would be 5+5=10, then you add the orange circle to the 10 cm, that would give you 20 cm. Then you multiply 20 cm by pi (3.14) which will give you your answer 62.8. Do the same thing for the orange circle, 5+5=10 so 10 multiplied by pi (3.14) is 31.4

bye bestie

you bought a magazine for 6 dollars and three candy bars you spend a total of 12 dollars how much did each candy cost?

Plssss help

Answers

Answer:

I think $2

Step-by-step explanation:

12 divided by 6 is 2. That's how you would find out what each piece of candy cost! I hope this helped!

Answer:

6

Step-by-step explanation:

Since the magazine costed 6 dollars and the total amount of money you used was 12 what is 12-6=6.

So the answer would be 6.

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