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.
Let 'x' represent the number of yards of silk and 'y' represent the number of yards of cotton.
Here is a system of equations that represent the constraints in the situation.
x+y=4.25
16.90x+4y=36.35
Find the solution to the system of equations. You may use any method you want, but you must explain your reasoning and methods fully.

Answers

Answer 1

Answer:

Step-by-step explanation:

The yards of silk bought is  1.49 yards and the yard of cotton bought is 2.76 yards.

The two equations are known as simultaneous equation. They would be solved using elimination method.

x + y  = 4.25 equation 1

16.90x + 4y = 36.25 equation 2

where:

x = yards of silk bought

y = yards of cotton bought

In order to determine the value of x, multiply equation 1 by 4.

4x + 4y = 17 equation 3

Subtract equation 3 from 2

19.25 = 12.90x

Divide both sides of the equation by 12.90

x = 1.49 yards

In order to determine the value of y, substitute for x in equation 1

1.49 + y = 4.25

y = 4.25 - 1.49

y = 2.76 yards

Answer 2

Answer:

Step-by-step explanation:

The yards of silk bought is  1.49 yards and the yard of cotton bought is 2.76 yards.

The two equations are known as simultaneous equation. They would be solved using elimination method.

x + y  = 4.25 equation 1

16.90x + 4y = 36.25 equation 2

where:

x = yards of silk bought

y = yards of cotton bought

In order to determine the value of x, multiply equation 1 by 4.

4x + 4y = 17 equation 3

Subtract equation 3 from 2

19.25 = 12.90x

Divide both sides of the equation by 12.90

x = 1.49 yards


Related Questions

Use the graph that shows the solution to f(x)=g(x).

f(x)=−(x+2)(x−2)

g(x)=2|x+2|



What is the solution to f(x)=g(x)?

Select each correct answer.




−2

0

2

4

Answers

Answer:

  -2, 0

Step-by-step explanation:

The solution(s) to f(x) = g(x) are the x-coordinates of the points where the graphs intersect. The points of intersection of these graphs are ...

  (-2, 0) and (0, 4)

The x-coordinates of these points are -2 and 0.

The solutions to f(x) = g(x) are x=-2 and x=0.

Answer:

The answer is -2 and 0

Step-by-step explanation:

it was confirmed to be correct

The sum of
1
2
and
1
5
is between
1
2
and 1.


Is this true yes or no

Answers

Answer:

no

Step-by-step explanation:

the sum of the first is 3 and the sum of the next is 6. neither of them are within the range of 1-2 and 1.

Nick found the quotient of 8.64 and 1.25 × 105. his work is shown below. 1. (8.64 × 101) (1.25 × 105) 2. (8.64 1.25 ) (101 105 ) 3. 6.912 × 10–4 analyze nick’s solution. is he correct? if not, what was his mistake? yes, nick is correct. no, the power multiplied to 8.64 should have an exponent of 0. no, he needed to subtract the coefficients. no, he needed to add the exponents.

Answers

The answer will be the power multiplied to 8.64 should have an exponent of 0.

What is the mistake done by Nick?

The given expressions are

[tex]=\dfrac{8.64\times 10^1}{1.25\times 10^5}[/tex]

[tex]=(\dfrac{8.64}{1.25}) (\dfrac{10^1}{10^5} )[/tex]

[tex]=6.912\times10^{-4}[/tex]

The power of the number multiplied to 8.64 is 1 which will make it 86.4

So this power of the number should be 0

Thus the answer will be the power multiplied to 8.64 should have an exponent of 0.

To know more about Quotient follow

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Answer:

B

Step-by-step explanation:

No, the power multiplied to 8.64 should have an exponent of 0.

Please help me please please please please

Answers

Answer:

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]

lets do (1.5, 3.6) and (2.5, 6)

(6 - 3.6) / (1.5 - 2.5)

put answer in comment and i will mark

please put brainest

Please help and show working

A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?

Answers

Answer:

64m/h

Step-by-step explanation:

t (time) = d (distance) /v (speed)

t = 281/4.41

t = 63.7

Please help i don’t understand this :( 3. Triangle BCD has been dilated by a scale factor of 4. What are the new coordinates of Triangle BCD?

Answers

original coordinates are B(3,-3), C(3,3), D(-3,-3)
SF (scale factor is 4)
3*4=12
B'(12,-12), C(12,12), D(-12,-12)

What is the measure of angle B in the triangle?
this triangle is not drawn to scale ​

Answers

[Figured it out themselves (see comments), just putting this here so it stops showing up as unanswered]

Part A
Directions. Answer each of the following questions.
1. On a train ride cross-country, the trees, buildings, and people appear to be speeding by the
window. This is because the train is our
2. Scientists use the
system for making measurements.
3. Physical science studies the relationships between
and
4. If 6.6 tyrannosaurs weigh 30,000 kg, then what does one tyrannosaur weigh?
5. For most activities, the
makes a handy frame of reference.

Answers

Answer:

1.speed im not a robot tho

Step-by-step explanation:

FOR 21 POINTS

A triangle has an angle measuring 90°, an angle measuring 20°, and a side that is 6 units long. The 6-unit side is in between the 90° and 20° angles.


How many unique triangles can you draw like this?

Answers

Answer:

One

Step-by-step explanation:

     Since we have a 90° angle and a 20° angle, the last angle must be 70°.

180° - 90° - 20° = 70°

     Now we also have the requirement of a 6-unit side between the 90° and 20° angles.

     With all of these requirements, we can only draw one triangle like this since we have an angle, an angle, a required third angle, and a side.

Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find the number of days, d, that Elena drove to work last week?

Answers

Answer:

ok so the equation will be

35d+28=203

-28

35d=175

divide by 35

d=5

she drove to work 5 times

Hope This Helps!!!

Your equation is “28+35d=203”
28-203=175
175/35=5
She drove to work 5 days

What is the value of X

Answers

Answer:

x = 7

Step-by-step explanation:

=> 9/72 = 3x-20/56

=> 9×45/72 = 3x-20

=> 27/3 = x

=> x = 7

how many terms of the A.p 18,16,14 ... be taken so that their sum is zero?​

Answers

Answer:

19 terms

Step-by-step explanation:

the sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 18 and d = a₂ - a₁ = 16 - 18 = - 2, then solving for n

[tex]\frac{n}{2}[/tex] [ (2 × 18) - 2(n - 1) ] = 0 ( multiply both sides by 2 to clear the fraction )

n(36 - 2n + 2) = 0

n(38 - 2n) = 0 ← distribute parenthesis on left side by n

38n - 2n² = 0 ← factor out 2n from each term on the left

2n(19 - n) = 0

equate each factor to zero and solve for n

2n = 0 ⇒ n = 0

19 - n = 0 ⇒ n = 19

n > 0 , then number of terms is 19

HII SOMEONE HELPPP PLEASE ​‼️‼️‼️

Answers

Answer:

Step-by-step explanation:

Fame age be x and sister's age = y

Five years ago:

Fame's age = x - 5

His sister's age = y -5

[tex]x -5 =\dfrac{1}{6}*(y-5)\\\\[/tex]

Multiply the entire equation by 6

[tex]6*(x-5)=6*\dfrac{1}{6}(y-5)\\[/tex]

6x- 6*5  = y-5

6x - 30 = y - 5

6x  -30 + 5 = y

y = 6x - 25--------------(I)

Three year after:

Fame's age = x + 3

His sister's age = y + 3

2*(x +3) = y + 3

2x + 6   = y + 3

2x + 6 -3 = y

y = 2x + 3 -------------(II)

Substitute y = 6x - 25 in equation (II)

6x - 25 = 2x + 3

Add 25 to both sides

6x  = 2x + 3 + 25

6x  = 2x + 28

Subtract 2x from both sides

6x - 2x = 28

       4x = 28

Divide both sides by 4

x = 28/4

x = 7

Substitute x = 7 in equation (I)

y =6x - 25

y = 6*7 - 25

  = 42 - 25

y = 17

Fame's age = 7 years

His sister's age = 17 years

4) Let the distance between X and Y be D

Time take by Wie = distance÷ speed

                             [tex]= \dfrac{D}{75}[/tex]

Time taken by Wary = distance ÷ speed

                                  [tex]=\dfrac{D}{80}[/tex]

Time difference = 10 minutes.

As Wary drives in high speed that Wie, he takes less time

[tex]\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\[/tex]

LcM = 1200

[tex]\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\[/tex]

D = 200 Km

trigonometry *find the value of x*

Answers

[tex] \cos(x) = \frac{b}{h} = \frac{3.8}{6.2} \\ \cos(x) = 0.612 \\ x = \cos^ {- 1} (0.612) = 51 \degree[/tex]

Answer:

x= 61 degrees

Step-by-step explanation:

1. To use trigonometry, you need to take into consideration SOH CAH and TOA. SOH is for sine, CAH is for cosine, and TOA is for tangent.

2. Figure out which one of these you can use. In this case, that would be CAH, which means you use cosine.

3. CAH means the cosine of x equals the adjacent over the hypotenuse. Adjacent is the value that is next to the angle. The hypotenuse is the value of the slant.

4. With that in mind, all you do is plug it into a calculator like so: 3.8/6.2

5. Lastly, you take that answer, move the decimal point up two places, and that's your answer.

The premiter of a rectangular rug is 40 feet. Its length is 12 feet. What is the width

Answers

P= 2L + 2W

40= 2(12) + 2W

40= 24 + 2W

16 = 2W

W= 8

HELPPPP
does anyone know how to do this

Answers

Answer:

1 13 2 16 3 17 4 21

Step-by-step explanation:

i hope this helps

Help po please "•v•
Salamat :) ​

Answers

Answer:

06:56 AM =06:56 H

10:44 AM =10:44 H

10:32 AM =10:32 H

01:09 PM =13:09 H

07:00 AM =07:00 H

In ΔABC, m∠A = 119° and m∠B = 49°. Which statement about the sides of ΔABC must be true?

Answers

Answer:

It is not true

Step-by-Step:

^ABC, m<A = 119 degrees.

In triangle ABC, side BC is longer and side AB shortest side.

Given that, in ΔABC, m∠A = 119° and m∠B = 49°.

What is the triangle inequality theorem?

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Using angle sum property, we get

m∠A+m∠B+m∠C=180°

⇒ 119°+49°+m∠C=180°

⇒ m∠C=180°-168°

⇒ m∠C=12°

So, using triangle inequality theorem opposite to angle A, side BC is longer and opposite to angle C, side AB is shortest side.

Therefore, in triangle ABC, side BC is longer and side AB shortest side.

To learn more about the triangle inequality theorem visit:

https://brainly.com/question/1163433.

#SPJ2

Gina and Derek saw some trees on their walk through the park. They made a diagram showing the distance between trees.

A line diagram shows 5 points. The points are labeled start, maple tree, oak tree, pine tree, and end. The distance from the start to the maple tree is 5 yards. The distance from the maple tree to the end is 28 and two-sixths yards. The distance from the oak tree to the pine tree is 11 and three-sixths yards. The distance from the pine tree to the end is 7 and five-sixths yards.



What is the distance between the maple tree and the oak tree?

A.
3
4
6
yards

B.
9
yards

C.

19
2
6
yards

D.
23
2
6
yards

Answers

The difference between the maple and oak trees is the difference

between  [tex]28\frac{2}{6}[/tex]  and ([tex]11\frac{3}{6}[/tex] + [tex]7\frac{5}{6}[/tex] ), which is 9 yards.

Response:

The distance between the maple tree and the oak tree is option B.

B. 9 yards

Which methods can be used to determine the distances on the line diagram?

The given parameters are;

Start → Maple tree → Oak tree → Pine tree → End

The distance from the start to the maple tree = 5 yards

The distance from the maple tree to the end = [tex]\mathbf{28\frac{2}{6}}[/tex] yards

Distance from the oak tree to the pine tree = [tex]11\frac{3}{6}[/tex] yards

Distance from the pine tree to the end = [tex]\mathbf{7\frac{5}{6}}[/tex] yards

Required:

The distance between the maple tree and the oak tree

Solution;

From the maple to the end, d is given as follows;

d = Maple tree to the end - Distance from the oak tree to the end

Oak to the end = Oak to pine + Pine to end

Therefore;

[tex]Oak \ to \ the \ end = 11\frac{3}{6} + 7\frac{5}{6} = 19\frac{1}{3}[/tex]

Which gives;

[tex]Maple \ to \ the \ oak \ tree = 28\frac{2}{6}- 19\frac{1}{3} = 9[/tex]

The distance from the maple to the oak tree = 9 yards

The correct option is; B. 9 yards

Learn more about fractions here:

https://brainly.com/question/26794609

25x^2-40x+16

please help me ahhh i need this im failing algebra bc im missing assignments

Answers

12-14 is equally to 2 and here is the answer

100 POINTS!!!
PLEASEEEE HELPPP ASAPPPP!!!
Given the graph of the quadratic function, identify the solutions.

Answers

Solving for the roots of the quadratic equation is equivalent to finding the intersections with the axis:

[tex]f(x) = 0[/tex]

Since the function intersects the x-axis at the point (2,0) & (-4,0), we can then say:

[tex]solution = \\ x = 2 \\ x = - 4[/tex]

Work out
(6.7 x 10^2) + (9 x 10^3)
Х
Give your answer in standard form

Answers

Answer:

9.76 x 10^3

Step by step:

1. (6.7 * 10 ^ 2) + (9 * 10 ^ 3)>> (6.7 * 100) + (9 * 10 ^ 3)
2. (6.7 * 100) + (9 * 10 ^ 3)>> (670) + (9 * 10 ^ 3)
3. 670 + (9 * 10 ^ 3)>> 670 + (9 * 1000)
4. 670 + (9 * 1000)>> 670 + (9000)
5. 670 +9000>> 9760
6. 9760>> 9.76 × 10^3

1000 sheets of computer paper for $8.95 find unit rate

Answers

Answer:

The answer is 2.5

Step-by-step explanation:

plus the sum of 1000

Answer: 0.895%

Explanation:

8.95/1000 = 0.895 or 0.00895

Find the remainder when the polynomial 6x2 + 8x - 2 is divided by x - 2.

Answers

Answer:

38

Step-by-step explanation:

x-2 = 0 → x = 2 put this value in polynomial

6(2)² + 8(2) - 2 = 24 + 16 - 2 = 38

there is another way too. but it's longer. you can see it in picture.

Answer:

Did the quiz :)

Step-by-step explanation:

Do number 3 pleaseeee

Answers

Answer:

3. 24

Step-by-step explanation:

It's 24 because the formula for that shape is base multiplied by height which base is 8 and height is 3 for 8*3 = 24.

Answer: 24 cm

Step-by-step explanation:

You multiply both sides to find the area. We can pretend if we could cut the left triangle off and add it to the right. Then 8x3= 24

how do you multiply and divide with scientific notation

Answers

Answer: To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.

Step-by-step explanation:

HONESTLY help me I don’t understand math

Answers

Answer:

15. 2m

17. 1.5m

Step-by-step explanation:

just square root it

WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!

Solve for x to the nearest tenth.

Answers

Answer:

5.8

Step-by-step explanation:

Pythagorean Theorem:

You have the side 6 and 3. To find x you must make the right triangle.

6-1=5. So the longer side of the tri is 5. Now we will solve:

3^2+5^2=9+25=34. Now we have to square root 34.

[tex]\sqrt{34}[/tex] is approximately = 5.8

Amy invested $1500 in an account with an interest rate of 6.5%
What will the account balance be in 20 years if the interest is compounded monthly?

Answers

Step-by-step explanation:

p=1500

R=10%

t=20yrs

SI=PTR/100

=1500*10*20/100

=3000

amount(A)=P+I

=1500+3000

=4500

What is the ratio of rise to run between the points (-10, 9) and (6, 5)? A. B. 4 C. D. -4

Answers

The ratio of rise to run, which is the slope between the two points is: -1/4.

What is the Slope between Two Points?

Slope = ratio of rise to run = change in y/change in x

Given the following points:

(-10, 9) and (6, 5)

Rise = (5 - 9) = -4

Run = (6 -(-10)) = 16

Ratio of rise to run = slope = -4/16 = -1/4.

Therefore, the ratio of rise to run, which is the slope between the two points is: -1/4.

Learn more about slope on:

https://brainly.com/question/3493733

Answer:

-1/4.

Step-by-step explanation:

Took the quiz and it was correct. Hope this helps.

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