what is the answer to this question: Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend?

Answer:

True. A , B are parallel lines.

Step-by-step explanation:

3 and 6 are co interior angles. If co interior angles are congruent, then the line are parallel

Step-by-step explanation:

Given that:

{(x²+y²)/(x²-y²)} = 17/8

On applying cross multiplication then

since, (a/b) = (c/d) ⇛a(d) = b(c)

Where, x = x²+y², b = x²-y², c = 17 and d = 8

So,

⇛17(x²-y²) = 8(x²+y²)

Multiply the number outside of the brackets with variables in the brackets on both LHS and RHS.

⇛17x²-17y² = 8x²+8y²

⇛17x²-17y² - 8x²-8y² = 0

⇛17x²- 8x² - 17y² - 8y² = 0

⇛9x² - 25y² = 0

⇛9x² = 25y²

⇛9/25 = y²/x²

⇛25/9 = x²/y²

⇛x/y = √(25/9)

⇛x/y = √{(5*5)/(3*3)}

⇛x/y = 5/3

Therefore, x:y = 5:3

Let x = 5a and y = 3a

Now, (x³+y³):(x³-y³)

= {(x³+y³)/(x³-y³)} = [{(x+y)(x²-xy+y²)}/{(x-y)(x²+x-y+y²)}]

= [{(5a)³ + (3a)³}/{(5a)³ - (3a)³}]

= [{(5*5*5*a*a*a) + (3*3*3*a*a*a)}/{(5*5*5*a*a*a) - (3*3*3*a*a*a)}]

= {(125a³ + 27a³)/(125a³ - 27a²)}

= {(152a³)/(98a³)}

= 152/98

Write the obtained fraction in lowest form by cancelling method.

= {(152÷2)/(98÷2)}

= 76/49

Therefore, , (x³+y³):(x³-y³) = 76/49

Answer: Hence, the required value of (x³+y³):(x³-y³) is 76/49.

Please let me know if you have any other questions.

Answer:

  76:49  or  49:76

Step-by-step explanation:

The second relation gives an expression for y in terms of x:

  [tex]\dfrac{x^2+y^2}{x^2-y^2}=\dfrac{17}{8}\\\\8x^2+8y^2=17x^2-17y^2\qquad\text{cross multiply}\\\\25y^2=9x^2\qquad\text{add $(17y^2-8x^2)$}\\\\5y=\pm3x\qquad\text{take the square root}\\\\y=\pm\dfrac{3}{5}x\qquad\text{divide by 5}[/tex]

Substituting into the expression we want the value of, we can factor out x^3 to get ...

  [tex](x^3+y^3):(x^3-y^3)=(1\pm(3/5)^3):(1\mp(3/5)^3)=(125\pm27):(125\mp27)\\\\=152:98\text{ or }98:152=\boxed{76:49\text{ or }49:76}\m[/tex]

_____

Additional comment

There is nothing in the given requirement that means x and y must have the same sign. If the signs are different, then the value of the expression is less than 1, rather than greater than 1.

Answer:

A is an irregular pentagon - total angle is 540. So x is 100

(540 - 440=100)

B. 3a + 345 = 540

- 345 both sides

3a=195

÷3

a = 65

2a = 130 (65x2)

C. X = 120 (angles on straight lines adds to 180)

3y + 300 = 540

- 300

3y = 240

÷3

Y= 80

x 2

2Y = 160

Hope this helps!

Answer:

B. 10

Step-by-step explanation:

This pair of triangles follows a scale factor. A scale factor is the factor that can get you an exact copy of a triangle, but with bigger or smaller side lengths. In this case, the scale factor is 2 (doing 12/6 on the left side is 2), and dividing that by 20 to get 10. Because we want the smaller triangle, we divide, not multiply. (you could also multiply by 1/2)

Answer:

78 degrees

Step-by-step explanation:

this is a situation where you have a right triangle and know the hypotenuse and adjacent side lengths, so you can use cos⁻¹

cos⁻¹(8.5/42) = 78.3 degrees

above is the answer. typing is not getting allowed dunno why

Answer:

Step-by-step explanation:

44) I’ll try to explained detailed as possible.

So first of all we have: 180-120=60 => this is the value of angle(BCA)

=> we know that a triangle has 180 degree in total =>

Now we will have to add all angles,their sum will be equal to 180.

=> (2x+28)+(3x-13)+60=180

2x+28+3x-13=180-60

5x+15=120

5x=105

x=105/5

x=21

=> m(BAC) = 2x+28=29*2+28=58+28=86 degree.

Answer:

Graph A

Step-by-step explanation:

The y-intercept is -3, which is the y-value when the graph hits the y-axis.

Graph A and B both hit the y-intercept of -3.

The slope is 3/4, which means the line rises 3 units as it runs 4.

This time, only Graph A has the correct slope.

The correct answer is [tex]\boxed{\text{Graph A}}[/tex]

-Chetan K

Answer:

Graph A

Step-by-step explanation:

The formula is in the form y=mx+c, where m is the gradient and m is the y-intercept, this means that the y-intercept is (0,-3) which rules out Graph B.

To find the gradient we use [tex]\frac{rise}{run}[/tex], this means that the vertical value has to be 3 and the horizontal distance 4 and this rules out Graph C as its gradient is 3/2. That means that graph A matches the equation the best.

Answer:

the answer for your question is 80pi

Answer:

it will take Tommy 30 minutes

Answer:

It'll take him 30 minutes.

Step-by-step explanation:

He estimates that it'll take 10 minutes for each room. His mom asked him to sweep 3 rooms. If you take 10 and multiply it by 3, you get 30.

Answer:

I believe it is C

HOPE IT HELPS, BE SAFE :3

Answer:

A) $1440

B) $9440

Step-by-step explanation:

A) 4.5% x $8000 = $360 x 4 years = $1440

B) $1440 + $8000 = $9440

Answer:

x 6 8 11 13 18

y 15 17 20

Step-by-step explanation:

use your equations to complete the table

Answer:

y = w(7x-12)/(6-21w)

Step-by-step explanation:

See the attached image.  I was expecting a more elegant solution, so please look it over carefully.  Perhaps there is a way to simplify it, but I don't see an easy method.

Answer:Triangle B

Step-by-step explanation:

It is the only one not dilated or rotated, but it was simply moved, which is the definition of translation.

Answer:

yes d is the correct answer

Step-by-step explanation:

Answer:

4) 3 for the numerator. 9 for the denominator

5) 6 for the first blank square and 48 for the second blank.

6) 2 for the denominator. 6 for the numerator. 30 for the second numerator.

Step-by-step explanation:

sorry but those are the only ones i know

Hope this helps!

Answer:56

Step-by-step explanation:

i got it correct on my test

Answer:

Sue eats 1/3 of the whole pizza

Step-by-step explanation:

List the following words in order from smallest to

largest

C. DNA, Gene, Chromosome, Nucleus

Answer:

A. Gene, DNA, Chromosome, Nucleus

Step-by-step explanation:

Hope this helps. Please give Brainest if it did. Good luck

Check the picture below.

Answer:

Step-by-step explanation:

Given equation:

Multiply all terms by (x - 3)(x - 2):

Compare this to the given form to get:

Correct choice is A

On solving

x=4±√3

So

a=4 and b=3

Answer:X=2/3

Step-by-step explanation:

olutioniaisisisis

Answer:

27

Step-by-step explanation:

162/30=5.4

5.4*5=27

Answer:

the answer is 27

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

First, you need to solve for x.

88 = 5x + 34 + 8x 15

88 = 13x + 49

88 - 49 = 13x

39 = 13x

39/13 = x

3 = x

Now substitute 3 in place of x to find rps

rps = 5x+34

rps = 5*3 + 34

rps = 15 + 34

rps = 49

Answer:

There is 30 2 pt questions and 10 4 pt questions

Step-by-step explanation:

x  is number of two-point questions

y is number of four-point questions

There is a total of 100 points.

There is a total of 40 questions.

Now, we solve by substitution

Plug 30 back in to solve for y

Answer:

see below

Step-by-step explanation:

Therefore, the probability that Scott chose books A and B is 1/28.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event will not occur and 1 means that the event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many areas of mathematics, science, economics, and everyday life to help make predictions, decisions, and inferences.

Here,

The total number of ways Scott can choose 2 books out of 8 books is given by the combination formula:

C(8,2) = 8! / (2! * 6!) = 28

This means there are 28 possible pairs of books he could choose.

The probability that he chose books A and B is 1 out of 28 because there is only 1 way to choose books A and B out of the 28 possible pairs:

P(A and B) = 1/28

To know more about probability,

https://brainly.com/question/30034780

#SPJ1

Answer:

GCF = 6

Step-by-step explanation:

6 is the greatest common factor of these three terms.  

Answer:

69

Step-by-step explanation:

The common factor is 69 because they all add up to this sacred number

Answer:

Step-by-step explanation: