Jan used 10
yards of fabric to make 5 dresses. On average, how
much fabric did she use for each dress?

Answer:

1,3

Step-by-step explanation:

The correct format of the options are

(1) 6/8                    (6) 2/7

(2) 7/2                    (7) 1/8  

(3) 33[tex]\frac{4}{5}[/tex]                    (8) 4/5

(4) 41                      (9) 5/6

(5) 54[tex]\frac{1}{5}[/tex]                    (10) 1/5

Answer:

Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg [tex]\frac{6}{8}[/tex] reciprocal is [tex]\frac{8}{6}[/tex], on multiplication [tex]\frac{6}{8}[/tex]*[tex]\frac{8}{6}[/tex] =1

Reciprocal of the following are as follows

(1) [tex]\frac{8}{6}[/tex]  

(2) [tex]\frac{2}{7}[/tex]

(3) 33[tex]\frac{4}{5}[/tex]  =[tex]\frac{ 33*5 + 4}{5}[/tex] = 169/5 =>  reciprocal = 5/169

(4) 1/41

(5)  54[tex]\frac{1}{5}[/tex] => [tex]\frac{54*5 +1}{5}[/tex] = 271/5 => 5/271

(6) 7/2

(7) 8

(8) 5/4

(9) 6/5

(10) 5

It's 61/21. That's the answer.

the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be

y=3x+-3

Answer:

This is a rational decimal and is not a repeating decimal.

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a fairly simple question. All we need to do is find the difference between the two amounts.

$94.30 - $76.50 = $17.80

Answer:

3 to 1 is the ratio

hope it helped

Answer:

12:4

Step-by-step explanation:

I do not know if this question is complete, but if it is, the ratio is 12:4. The reason is that for every 12 cups of flour, there are 4 eggs.

Answer:

=2.64

Step-by-step explanation:

Answer:

13 : 4

Step-by-step explanation:

13 : 4

he has 13 cows and he has 4 bales of hay so 13:4

you can't simplfy it so its still 13 : 4

Answer:

0.25km

Step-by-step explanation:

Answer:

247.4

Step-by-step explanation:

- you can either use pi*diameter or 2pi*radius

- [tex]\pi (78.75) = 247.4[/tex]

Answer:3/4

Step-by-step explanation:

First get the common denominator that is 12 then divide 12 by the first denominator which is 2 then add the numerator which is 1 then you will get 7 then repeat to second denominator just divide 12 by 12 then add 1 then add the numerator and copy the denominator. To simplify your answer just divide both by 3 and you will get the final answer of 3/4.

Answer:

12.6

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

12.6

Step-by-step explanation:

0.12*105=12.6

Answer:

39.75

Step-by-step explanation:

First, subtract 50 from both sides

200z + 50 - 50 = 8000 - 50

200z = 7950

Then isolate the variable by dividing both sides by 200

200z/200 = 7950/200

z=39.75

Work Shown:

Let x be the third angle

For any triangle, the three angles always add to 180 degrees

x+55+28 = 180

x+83 = 180

x = 180-83

x = 97

Answer:

Step-by-step explanation:

1.

To write the form of the partial fraction decomposition of the rational expression:

We have:

[tex]\mathbf{\dfrac{8x-4}{x(x^2+1)^2}= \dfrac{A}{x}+\dfrac{Bx+C}{x^2+1}+\dfrac{Dx+E}{(x^2+1)^2}}[/tex]

2.

Using partial fraction decomposition to find the definite integral of:

[tex]\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}dx[/tex]

By using the long division method; we have:

[tex]x^2-8x-20 | \dfrac{2x}{2x^3-16x^2-39x+20 }[/tex]

                  [tex]- 2x^3 -16x^2-40x[/tex]

                                            [tex]x+ 20[/tex]

So;

[tex]\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x+\dfrac{x+20}{x^2-8x-20}[/tex]

By using partial fraction decomposition:

[tex]\dfrac{x+20}{(x-10)(x+2)}= \dfrac{A}{x-10}+\dfrac{B}{x+2}[/tex]

                         [tex]= \dfrac{A(x+2)+B(x-10)}{(x-10)(x+2)}[/tex]

x + 20 = A(x + 2) + B(x - 10)

x + 20 = (A + B)x + (2A - 10B)

Now;  we have to relate like terms on both sides; we have:

A + B = 1   ;   2A - 10 B = 20

By solvong the expressions above; we have:

[tex]A = \dfrac{5}{2}[/tex]     [tex]B = \dfrac{3}{2}[/tex]

Now;

[tex]\dfrac{x+20}{(x-10)(x+2)} = \dfrac{5}{2(x-10)} + \dfrac{3}{2(x+2)}[/tex]

Thus;

[tex]\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)}[/tex]

Now; the integral is:

[tex]\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx = \int \begin {bmatrix} 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)} \end {bmatrix} \ dx[/tex]

[tex]\mathbf{\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx = x^2 + \dfrac{5}{2}In | x-10|\dfrac{3}{2} In |x+2|+C}[/tex]

3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.

Please check to the attached image below for the solution to question number 3.

Answer:

C: the right triangle altitude theorem  

Step-by-step explanation:

In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar.

We know that the geometric mean (altitude) theorem states that the altitude is equal to the geometric mean of the two segments.

We know that the geometric mean (leg) theorem states that a leg is the geometric mean between the hypotenuse and the leg's projection on it in every right triangle.

We know that the right triangle altitude theorem states that If we draw an altitude in a right triangle from the vertex which contains the right angle to the opposite side, the triangles on both sides of the altitude are congruent, and the entire triangle is congruent as a result.

We know that the SSS theorem If the three sides of one triangle are equal to the three sides of the other, then the two triangles are congruent.

Here, we have to find the specific theorem which demonstrates the equality of proportionate values in the Pythagorean theorem. From the above theorems, we can conclude that our required theorem is the right triangle altitude theorem.

Therefore In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar. So, option C is correct.

Learn more about the right triangle altitude theorem here -

https://brainly.com/question/4470400

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Answer:

15

Step-by-step explanation:

15x4 times the string=60

60+15 is the length of the smaller string=75 inches of the total string.

Hope this helps pls give brainliest

Answer:

You win if you spin any number except 3, otherwise your friend wins

Step-by-step explanation:

Because the spinner is divided into equal sections, there is an equal probability of spinning any number. In this case, you win by spinning a 1, 2, or 4, and your friend only wins by spinning a 3. The probability of you winning is 34, while the probability of your friend winning is only 14.

Answer:9 ft

Step-by-step explanation:

The requried measure of the AB is given as 7ft. Option B is correct.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9

Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft

Thus, the requried measure of the AB is given as 7ft. Option B is correct.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

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Answer:

the first one i did it yesterday

Answer:

252=252 so

Step-by-step explanation:

Answer:

4.474 it is simple you just add them

Answer:

6.474

Step-by-step explanation:

i calculated it