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.

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

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

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.

Answer:

The answer is 2.5

Step-by-step explanation:

plus the sum of 1000

Answer:

x = 7

Step-by-step explanation:

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

=> 9×45/72 = 3x-20

=> 27/3 = x

=> x = 7

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:

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

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

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:

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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.

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!!!

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°.

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:

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#SPJ2

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

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

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

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

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:

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

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:

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Answer:

-1/4.

Step-by-step explanation:

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

Answer:

15. 2m

17. 1.5m

Step-by-step explanation:

just square root it

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

Answer:

64m/h

Step-by-step explanation:

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

t = 281/4.41

t = 63.7

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

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.

Answer:

1 13 2 16 3 17 4 21

Step-by-step explanation:

i hope this helps

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

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

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

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

[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.

Answer:

1.speed im not a robot tho

Step-by-step explanation:

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