At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning

Answers

Answer 1

Given:

The system of equations that represent the constraints for the given situation is

[tex]x+y=4.25[/tex]

[tex]16.90x+4y=36.35[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]x+y=4.25[/tex]           ...(i)

[tex]16.90x+4y=36.35[/tex]           ...(ii)

Multiply equation (i) by 4.

[tex]4x+4y=17[/tex]           ...(iii)

Subtracting (iii) from (ii), we get

[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]

[tex]16.90x+4y-4x-4y=19.35[/tex]

[tex]12.90x=19.35[/tex]

Divide both sides by 12.90.

[tex]x=\dfrac{19.35}{12.90}[/tex]

[tex]x=1.5[/tex]

Put this value in (i).

[tex]1.5+y=4.25[/tex]

[tex]y=4.25-1.5[/tex]

[tex]y=2.75[/tex]

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.


Related Questions

{(−7, 2), (−2, 2), (0, 1), (4, 5)}

Answers

Answer:

domain={-7,-2,0,4} and range={2,1,5}

Step-by-step explanation:

four times the difference of a number and 71
is 32

Answers

please mark brainlist

Step-by-step explanation:

let the number be x

4(x-71) = 32

4x - 284 = 32

4x = 316

x = 79

ZA and ZB are complementary angles. If mZA = (7x + 23)° and
mZB = (5x + 19)°, then find the measure of ZB.

Answers

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation:  7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of 3 inches (a) If a horse is randomly selected from this race, what height would you expect it to be? (b) What percentage of horses who compete in the Melbourne Derby have heights between 60 and 72 inches? (c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Distribution = Normal

Mean(m) = 66

Standard deviation (σ) = 3 inches

A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66

B.) % horses with height between 60 and 72

Using the relation :

X = 60 ; 72

Z = (x - mean) σ

Z = (60 - 66) / 3

Z = - 6/3

Z = - 2

P(Z < - 2) = 0.0228 (using table)

Z = (72 - 66) / 3

Z = 6/3

Z = 2

P(Z < 2) = 0.9772 (using table)

P(score being between 60 and 72):

0.9772 - 0.0228= 0.9544

C) number of samples = 25

Height less than 63 inches :

Find the measure of angle b

Answers

Answer:

130°

Step-by-step explanation:

a straight line is 180°

so you have

180°-50°= 130°

explanation:

b and 50 are supplementary angles (they add up to 180), so create an equation by adding them up to equal 180:

b + 50 = 180

we want the x by itself, so subtract both sides by 50 to get:

b = 130°

brainliest You are going on a plane ride. You leave at 11:00am, sight see for awhile and return back to the same airport at 4:00pm. The plane traveled at 180 miles per hour. How far did the plane fly?

Answers

Answer:900 miles

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

11: 00 am to 4: 00 pm thats a 5 hour flight basically. Then do 180 x 5 = 900 (Hope Im right and u guys understand :DD)

NEED HELP ASAP PLEASE.

Answers

Step-by-step explanation:

true i think i think its true

Solve the equation 5x+9=4.

Answers

Answer: x=-1

5x+9=4

-9       -9

_______

5x= -5

/5    /5

x= -1

[tex]\huge{\boxed{\sf{x=-1}}}[/tex]

[tex]\huge{\pink{Given \: Equation:}}[/tex]

Step 1:

[tex]5x + 9 = 4[/tex]

Step 2:

[tex]⇒5x = 4 - 9[/tex]

Step 3:

[tex]⇒5x = - 5[/tex]

Step 4:

[tex]⇒x = \frac{ - 5}{5} [/tex]

Step 5:

[tex]⇒x = - 1✓[/tex]

[tex]\huge{\blue{Verification:}}[/tex]

Step 1:

[tex]5x+9=4.[/tex]

Step 2:

[tex]5 \times - 1 + 9 = 4[/tex]

Step 3:

[tex] - 5 + 9 = 4[/tex]

Step 4:

[tex]\red{⇒4 = 4}[/tex]

[tex]\huge{†Hence \: Vertified†}[/tex]

Area of dog crate
6 meters and 4 meters

Answers

Answer:

24 meters

Step-by-step explanation:

L × W = A6 × 4 = 24 meters

I hope this helps!

Answer:

24 meters

Step-by-step explanation:

you do 6 times 4

Someone help please?

Answers

Step-by-step explanation:

If the whole bar is equal to 320 and you are given the numbers and variables, what would the equation be? Well, the line above the bar AND the bar are equal to each other. This means that the ORIGINAL EQUATION WILL BE: 4x + 12x = 320 (this will be your first answer).

Because 12x and 4x are LIKE TERMS, you can simplify them by adding them together like so: 12x + 4x = 16x. Now you can say that 16x is equal to 320 (this is your second answer).

Divide both sides by 16 to get the true value of ONE x. Like so:

16x / 16 = 320 / 16

x = 20 (this is your third answer)

HEP I WILL GIVE BRAINLIEST!!!

Answers

Answer:

dot 3

Step-by-step explanation:

Round the factors and estimate the products.
a.
656 x 106 -

b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out

Answers

Answer:

a. 70,000

b. 24,000,000

c. 3,600,000

Step-by-step explanation:

You round all the numbers and multiply the rounded numbers.

So...

a. 656 = 700

106 = 100

7000*100= 70,000

b. 3108 = 3000

7942 = 8000

3000*8000= 24,000,000

c. 425 = 400

9311 = 9000

400*9000= 3,600,000

What is the value of X?
A.11
B.9
C.7
D.6

Answers

Answer:

x=6

Step-by-step explanation:

10x+21x-6=180 ( straight angle)

31x=180+6

x=186/31

x=6

A negatively charged balloon comes close to a positively charged cloth. What will happen​

Answers

Answer:

It will attract and move towards each other

Answer: The balloon will be attracted to the cloth i hope this helps :D

Step-by-step explanation:

Given that R = 3x + 9y
Find x when y = 6 and R=7
Give your answer as an improper fraction in its simplest form.​

Answers

Answer:

Step-by-step explanation:

R = 3x + 9y

They told us that R = 7, y = 6

So you can rewrite the equation as:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

Subtract 54 from both sides.

7 - 54 = 3x

-47 = 3x

To find x, you need to divide both sides by 3

3x = -47

x = -47/3

x2 + 10x + 25 = 0
Solve each equation by factoring

Answers

Answer:

x=-5

Step-by-step explanation:

This is a perfect square

(x+5)^2=0

x+5=0

x=-5

Can someone please help me please asap ?? I’ll mark brainlist !!!

Answers

The answer is C!
Hope this helped! :))

Answer:

C

Step-by-step explanation:

50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds

Answers

Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

How to solve rolled dice problems?

From the given ,question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

The game rules are;

Same number on both dice = +3

Different numbers, with an even sum = +1

An odd sum = -2

After five rounds, score of Chloe = +1

1 = 3 + 1 + (-2) + (-2) + 1

⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.

Complete question is;

Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:

Same number on both dice +3

Different numbers, with an even sum +1

An odd sum -2

In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.

Read more about Dice rolls at; https://brainly.com/question/2140973

#SPJ1

Answer:

-2

-2

-2

-2

-2

The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).

Step-by-step explanation:

Which analogy best represents the relationship between jobs and careers? "a muffin or a cookie," and a job is like "baked goods." "tools," and a job is like "a hammer or a screwdriver." "a building block," and a job is like "a castle or a tower." "a speedboat or a powerboat," and a job is like "a sailboat."

Answers

Correct options read:

A) A career is like “a muffin or a cookie,” and a job is like “baked goods.”

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

C) A career is like “a building block,” and a job is like “a castle or a tower.”

D) A career is like “a speedboat or a powerboat,” and a job is like “a sailboat.”

Answer:

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Explanation:

Remember, a simile is a figure of speech that makes an analogy or that compares one thing with another thing of a different kind using words like 'as', or 'like'.

Hence, what this entails is that the career one pursues is like "tools", and what constitutes a person's career or "tool" is their job ("a hammer or a screwdriver").

Answer:

B: A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Step-by-step explanation:

The diagram of a living room is shown below. What fraction of the living room is covered by the rug? need done ASAP

Answers

Answer:

[tex] \frac{10}{27} [/tex]

rotate the triangle through 180 degrees about the origin?

Answers

Answer:

Step-by-step explanation:

(1,1) ==> (-1,-1)

(4,2)==>(-4,-2)

(4,4)==> (-4,-4)

The triangle is shown below, after rotting 180 degrees about the origin.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

The coordinates of the vertices of triangle = (1, 2), (4, 2) and (4,4).

When the triangle is rotated through 180 degrees about the origin,

The sing of the vertices changes.

The sign will be changed as.

(1, 2) = (-1, -2)

(4, 2) = (-4, -2)

(4, 4) = (-4, -4)

The triangle after rotating 180 degrees show.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ2

I need help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Bruh.

Step-by-step explanation:

Which expression is equivalent to Start root80 ?
O ^4start root2end root•√5
0 start root2^4•start root5
0 start root2end root•start root2end root•start root5end root
0 start root2^2end root•start root2^2end root•start root5^2end root

Answers

Answer:

I believe your answer is C

Hope this helps!

Answer:

It's B

Step-by-step explanation:

Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?

Answers

Answer:

$12.84

Step-by-step explanation:

Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.

Then multiply 0.12 by 107 to get the price + tax.

You'll end up with 12.84.

Then just add your units to get $12.84.

Answer would be 12.84:)

Why is the base of the parallelogram 1/2 the circumference of the circle?

Answers

Consistent System of Equations

In other words.:Counterclockwise of negative x positive + the absolute value of 18 - 45 will equal 1/2

Find the area of a circle with radius,
r = 5.68m.
Give your answer rounded to 2 DP.

Answers

Answer:

101.35

Step-by-step explanation:

pir^2

pi5.68^2

32.2624

pi(32.2624)

about 101.355

PLEASE PLEASE HELP!! NO ONE IS ANSWERING!! this is geometry ://

Answers

Answer:

onse sec and ill help

Step-by-step explanation:

The cost of using a telephone in a hotel meeting
room is $0.20 per minute. Which of the following
equations represents the total cost in dollars, for
h hours of phone use?

Answers

so its 12 dollars an hour

x means the cost

12(h)= x

Answer:

c = 0.20 (60h)

Step-by-step explanation:

The hotel charges $0.20 per minute to use the meeting‑room phone.  This per‑minute rate can be converted to the hourly rate using the conversion 1 hour =60 minutes, as shown in the following equation.

​[tex]\frac{0.20}{minute}[/tex]  × [tex]\frac{60 minutes}{1 hour}[/tex] =[tex]\frac{0.20 * 60}{hour}[/tex]

Thus, the hotel charges 0.20×60 per hour to use the meeting‑room phone.

Therefore, the cost c, in dollars, for h hours of use is c=(0.20×60)h which is equivalent to c=0.20(60h).

You can ignore a and b but can someone help me with c and d plz :)

Answers

Answer:

(below)

Step-by-step explanation:

c) the angles are in the interior on the same side of the transversal, making them supplementary

equation: 2x + 20 + 120=180 and then when solved you would get x =20

d) the angles are corresponding, which makes them congruent

equation: 3x + 10 = 100 and then when solved you would get x = 30

For C, the answer is x = 20. Explanation: the sum of the two angles is equal to 180 degrees, since they are across parallel lines. Plug the two angles into an equation that equals 180. You should have (2x + 20) + 120 = 180. Simplify the equation by subtracting 120 from both sides. You should now have 2x + 20 = 60. Subtract 20 from both sides. 2x = 40. Now simplify the equation by dividing both sides by 2, and you get your answer, x = 20. The answer for D is x = 30. Explanation: Since the angles are on the same side of parallel lines, they are equal. Plug the angles into an equal equation: 3x + 10 = 100. Subtract 10 from both sides to get 3x = 90. Now divide both sides by 3 to get your answer, x = 30.

5x+8y=6π solve equation for y

Answers

5x + 8y = 6pi

8y = 6pi - 5x
Y = (6pi -5x) / 8

This is the furthest you could simplify this equation. To get an exact value, you would need another equation to solve for x.
5x+8y=6π
8y=6π-5π
8y=π
Answer: Y=π/8
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