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Answer:

The time it takes the first kitten to unwind the balls of yarn alone is 15 minutes

The time it takes the second kitten to unwind the balls of yarn alone is 10 minutes

Step-by-step explanation:

The time it takes the two kitten to unwind the balls of yarn = 9 minutes faster than the first kitten working alone

The time it takes the two kitten to unwind the balls of yarn = 4 minutes faster than the second kitten working alone

Let 'x' represent the time it takes the first kitten to unwind the balls of yarn alone, let 'y' represent the time it takes the second kitten to unwind the balls of yarn alone, and let 't' represent the time it takes the two kitten to unwind the balls of yarn we have;

x = t + 9

y = t + 4

The rate of working, per ball of yarn, of the first kitten = 1/x = 1/(t + 9)

The rate of working, per ball of yarn, of the second kitten = 1/y = 1/(t + 4)

The amount of work each kitten does in the time 't', added together to unwind 1 ball of yarn is given as follows;

t/(t + 9) + t/(t + 4) = 1

(t·(t +4) + t·(t + 9))/(t + 4)×(t + 9) = 1

Using a graphing calculator, we have;

(2·t²+13·t)/(t² + 13·t + 36) = 1

∴ (2·t² + 13·t) = (t² + 13·t + 36)

(2·t² + 13·t) - (t² + 13·t + 36) = 0

t² - 36 = 0

t = √36 = 6

t = 6

x = t + 9 = 6 + 9 = 15

The time it takes the first kitten to unwind the balls of yarn alone, x = 15 minutes

y = t + 4 = 6 + 4 = 10

The time it takes the second kitten to unwind the balls of yarn alone, y = 10 minutes

Answer:

15 and 10 are correct

Step-by-step explanation:

Answer: The possible number of minutes is 5 minutes.

Step-by-step explanation: First, we should subtract: 46 - 16, since we already have 16 liters and need to get up to 46 liters. 46 - 16 gives us 30. 30 means that it is the liters needed to be filled.

Step-by-step explanation 2: Next, we know that 6 liters is filled every minute. So, basically just do 30 divided by 6, which gives us 5. 5 means the minutes.

Sooo, The possible number of minutes to fill the tank by 6 liters would be 5 minutes

I tried to explain it the best way I could. Hope it isn't confusing.

Answer:

No solution

Step-by-step explanation:

because the are parallel lines they never meet so they are inconsistent so there is no solution

Answer:

The smallest integer is -4.

Step-by-step explanation:

Let the smallest integer be x.

Since the integers are all multiples of 4, they are

=> x, x+4, x+8, x+12 and x+16

=> x + x+4 + x+8 + x+12 + x+16 = 20

=> 5x + 40 = 20

Subtract 40 from both sides of the equation

5x +40 - 40 = 20 - 40

5x = -20

Divide both sides by the coefficient of x(which is 5)

[tex]\frac{5x}{5} = \frac{-20}{5}[/tex]

x = -4

∴ the smallest integer is -4.

Hope this helps!!!

Answer:

x = 7

Step-by-step explanation:

3x - 4  = 17      {Add 4 to both the sides}

   +4   = + 4

3x       =  21          {Now divide both sides by 3}

 [tex]\frac{3x}{3}=\frac{21}{3}\\[/tex]

x = 7

Answer:

I don't know sorry just let study

Answer:

C. x = 3

Step-by-step explanation:

8x - 8 = 2x + 10

get the x on it's own

8x - 8 + 8 = 8x

2x + 10 + 8 = 2x + 18

8x = 2x + 18

8x - 2x = 6x

2x + 18 - 2x = 18

6x = 18

now divide each side by 6

6x / 6 = x

18 / 6 = 3

x = 3

X=3

Explanation

8x-8=2x+10

6x=18

x=3

Answer:

D. y - 4 = 3 (x + 2)

Step-by-step explanation:

y - 4 = 3 {slope} [x - (-2)]

y - 4 = 3 (x + 2)

Answer:

-6(-8.5) = 51

Step-by-step explanation:

-8 1/2 is also -8.5

-6(-8.5) = 51

Answer:

cool

Step-by-step explanation:

very nice

Answer: Unlikely

Step-by-step explanation: Given that there’s a 75 percent chance it will not snow, it can be considered unlikely.

Answer: x=45

Step-by-step explanation:

Solve for c get 20 c=b so b+115 =135  180-135=x

Answer:

x=45

Step-by-step explanation:

160=115+x (use vertical angles)

subtract 115 from both sides

160-115=45

x=45

Answer:

not a right triangle

Step-by-step explanation:

The Pythagorean Theorem states that If a triangle is a right triangle,

the hypotenuse^2 will equal to shorter^2 + longer^2

hypotenuse = 18, shorter side = 4, longer side = 17

18^2 = 4^2 + 17^2

324 = 16 + 289

324 = 305

That is false, therefore the triangle is not a right triangle

Answer:

<

Step-by-step explanation:

Answer:

1,521

Step-by-step explanation:

pls

Answer:

56.25

Step-by-step explanation:

cos-1(5/9)

cos the angle=adjacent ÷hypotynous

this s hit makes no f ucking sense

Answer:

60degrees

Step-by-step explanation:

For similar triangles, the angles of their angles are equal to matter the size.

Hence if triangle TRS is similar to triangle TMN, then;

<R = <M and <S = <N

Given that;

<T = 40 degrees

<R = 60degrees

<S = 80 degrees

Since <R = <M, then <M = 60degrees

Answer:

x = -1, y = -4

x = 0, y = 4

x = 1, y = 12

x = 2, y = 20

x = 3, y = 28

Step-by-step explanation:

y = 8x+4

x = -1, y = -4

x = 0, y = 4

x = 1, y = 12

x = 2, y = 20

x = 3, y = 28

Answer:

A or B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Rectangle base, tiny triangle sides, but rectangle top

Answer:

1. = 1 because any numbers to the power 0 is one

2. = 1/64

3.= b^15 base same power added up

Answer: *x squred +3x-10*

Step-by-step explanation:

(x+5)(x-2)

x squred-2x+5x-10

x squred +3x-10

The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the equation A = ( x + 5 ) ( x - 2 )

On simplifying the equation , we get

A = x ( x - 2 ) + 5 ( x - 2 )

Expanding the brackets , we get

A = x² - 2x + 5x - 10

On simplifying the equation , we get

A = x² + 3x - 10

Therefore , the value of A is x² + 3x - 10

Hence , The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

To learn more about equations click :

https://brainly.com/question/10413253

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Answer:

GH= half of DF

so, 114= 38 - 3x

3x= 76

x= 76/ 3

Answer:

6 is composite

Step-by-step explanation:

Given

[tex]Number = 6[/tex]

Required

Prime or Composite

The number 6 is not prime. This is so because apart from 1 and 6, it can also be divided by 2, 3

Hence:

6 is composite

And the factors are:

1, 2, 3 and 6

Answer:

Step-by-step explanation:

300×1.035⁵ ≅ $356.31

:::::

UPS charge = 7 + (p-1)0.20 = 0.20p +6.80

FedEx charge = 5 + (p-1)0.30 = 0.30p + 4.70

0.30p + 4.70 = 0.20p +6.80

0.10p = 2.1

p = 21

They charge the same for 21 pounds.