Alex drives at an average speed that is 2/5 of the average speed that Roy's train travels. Alex takes 30 minutes to travel 50 km in her car. Roy travels for 1 hour and 20 minutes on his train. How far does Roy travel to 2 dp (decimal places)?

Answer:

the required number is 12

Answer:

Step-by-step explanation:

One third of number is 8 less than the three times of the number

The number is x, then:

Answer:

C

Step-by-step explanation:

p³ - 216q³ ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

p³ - 216q³

= p³ - (6q)³

= (p - 6q)(p² + 6pq + 36q²) → C

Answer:

C. (p - 6q)(p² + 6pq + 36q²)

Step-by-step explanation:

Equation at the end of step 1

[tex](p^{3} ) - (2^{3} 3^{3} q^{3} )[/tex]

Trying to factor as a Difference of Cubes:

Factoring:  p^3 - 216q^3

Theory: A difference of two perfect cubes, a^3 - b^3 can be factored into

(a-b) • (a^2 +ab +b^2)

Proof: [tex](a-b)(a^{2} +ab+b^{2} ) =[/tex]

[tex]a^{3} + a^{2} b+ab^{2} -ba^{2} -b^{2} a-b^{3} =[/tex]

[tex]a^{3} +(a^{2} b-ba^{2} )+(ab^{2} -b^{2} a)-b^{3} =[/tex]

[tex]a^{3} +0+0-b^{3} =[/tex]

[tex]a^{3} -b^{3}[/tex]

Check:  216 is the cube of 6

Check:  p^3 is the cube of p^1

Check:  q^3 is the cube of q^1

Factorization is:

[tex](p-6q)(p^{2} + 6pq+36q^{2} )[/tex]

Trying to factor a multi variable polynomial :

Factoring: p^2 + 6pq + 36q^2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final Result:

(p - 6q)(p² + 6pq + 36q²)

Answer:

240 km.

Step-by-step explanation:

The car travels 200km per hour. so multiply it by 1.2 and you get 240km.

Answer:

They are parallel because they hold a same gradient which is 3/5

Answer:

[tex] x = 4 \sqrt{3} [/tex]

Step-by-step explanation:

By geometric mean theorem and Pythagoras theorem:

[tex] {x}^{2} = { (\sqrt{8 \times 4} )}^{2} + {4}^{2} \\ \\ {x}^{2} = { (\sqrt{32} )}^{2} + {4}^{2} \\ \\ {x}^{2} = 32 + 16 \\ \\ {x}^{2} = 48 \\ \\ x = \sqrt{48} \\ \\ x = 4 \sqrt{3} [/tex]

Answer:

X=-4, y=-5

Step-by-step explanation:

Y=2X+3

y=-x-9

substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:

-x-9=2x+3

-x-9+9=2x+3+9

-x=2x+12

-3x=12

x=-4

solve for y by inserting x value (2) into either equation

y=2x+3

y=2(-4)+3

y=-8+3

y=-5

check answer by inserting x and y into either equation to make sure they equal:

y=2x+3

-5=2(-4)+3

-5=-8+3

-5=-5

or

y=-x-9

-5=-(-4)-9

-5=-5

Answer: non metals F and H, fluorine has high electronegativity and tend to gain one electron. Hydrogen form she compounds with non-metals and metals.

Metals Cs and K, lose easily one outer electron. Electron is far away from nucleus and atom donates it easily.

The periodic table is composed of metals and nonmetals.

The right wing of the period table contains mostly of nonmetals. However, there are a few metals in the right wing of the periodic table. The periodic table is largely made up of metals and nonmetals.

The two most active metals in the right wing of the periodic table are bismuth and lead while the two most active nonmetals in the right wing of the periodic table are fluorine and chlorine.

Learn more: https://brainly.com/question/25114219?

Answer: n=8

Step-by-step explanation: add 2 each time for y

Answer:

Answer = 22

Step-by-step explanation:

Linear Function is 2x-6, therefore f(14)=2*14-6=22

So 2*8-6=10

2*9-6=12

2*11-6=16

Answer:

(4,10)

Step-by-step explanation:

   8x - 5y = -18

+  2x + 5y = 58

10x = 40

Dive both sides by 10.

x = 4

2x + 5y = 58

2(4) + 5y = 58

8 + 5y = 58

5y = 50

y = 10

Answer: y = -8x - 1

Step-by-step explanation: 2 x (-4) is -8. Therefore you get y = -8x - 1

(please mark as brainliest) :D

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{If x = -4 then SUBSTITUTE it in the equation, where x is at}[/tex]

[tex]\large\textsf{y = 2(-4) - 1}[/tex]

[tex]\large\textsf{2(-4) = \bf -8}[/tex]

[tex]\large\textsf{-8 - 1}[/tex]

[tex]\large\textsf{= \bf -9}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \huge \bf y = -9}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

7(9+n)=8

Step-by-step explanation:

I hope this is right :)))

Answer: the bottom is A then C

Step-by-step explanation:

Answer:

y+25=120

y = 120-25

so y= 95

Answer:

y=95 is the required answer of your question

hope it is helpful to you

Answer:

1.{2,8}

Step-by-step explanation:

that's my answer

Answer :

1. { 2, 8 }

x² - 10x + 16 = 0

x² - 2x - 8x + 16 = 0

x ( x - 2 ) - 8 ( x - 2 ) = 0

( x - 2 ) ( x - 8 ) = 0

x - 2 = 0

x = 2

x - 8 = 0

x = 8

Therefore,

the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.

Answer:

A

Step-by-step explanation:

Variables mean multiplying and that stonleigh when that multiplies and adds And it will never be even number because it is at 99 sense meaning $50 is greater than Whatever you multiply $3.99 by

Answer:

100 units^2

Step-by-step explanation:

a^2+b^2=c^2

8^2+6^2=c^2

64+36=c^2

100=c^2 (area of square)

10=c (length of hypotenuse)

Therefore, the area of the square is 100 units^2

Answer:

138 feet

Step-by-step explanation:

plug "3" into the expression by replacing "t" with "3"

-16t^2+83t+33

-16(3)^2+83(3)+33 (remember PEMDAS)

=-16(9)+249+33

=-144+282

=138 (I hope this helps)

Answer:

x = 14

∠ABD = 66

∠DBC = 24

Step-by-step explanation:

The sum of the two angles is 90 degrees, so:

3 (x + 8) + 2x - 4 = 90      (distribute 3)

3x + 24 + 2x - 4 = 90       (simplify)

5x + 20 = 90            (subtract 20 from both sides)

5x = 70            (divide both sides by 5)

x = 14

∠ABD = 3 (x + 8)       (plug in 14)

∠ABD = 3 (14 + 8)      simplify

∠ABD = 3 (22)

∠ABD = 66

∠DBC = 2x - 4       (plug in 14)

∠DBC = 2(14) - 4     (simplify)

∠DBC = 28 - 4

∠DBC = 24

To check, 66+24=90.

Answer:

The answer I got was

3(-26+8) = -54

2(-26)-4 = -56

Step-by-step explanation:

3(x+8)=2x−4

(3)(x)+(3)(8)=2x+−4(Distribute)

3x+24=2x+−4

3x+24=2x−4

Then subtract 2x from each side

Once then you have X substitute that number with X and you should get your answer.

So do 3(-26+8) and then 2(-26)-4 which then

3(-26+8)=

2(-26)-4 =

Step-by-step explanation:

Line is passing through the point A (-3, 5) and the point B (0, -16)

a) Slope (m) = (-16 - 5)/(0+3) = - 21/3 = - 7

b) y - intercept (b) = - 16

c) Equation of line

y = mx + b

y = - 7x + (-16)

y = - 7x - 16

Answer: Choice C: none of the above

Step-by-step explanation:

The distance between two numbers would be |(number 1) - (number 2)|

--------------------------------------------------------------

Given

Number 1=-3.9

Number 2=-4.7

 |(number 1) - (number 2)|

=|(-3.9) - (-4.7)|

=|-3.9+4.7|

The choice is not available.

Therefore, it is none of the above.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

600

Step-by-step explanation:

V = l * w * h

V = 10 * 3 * 20

V = 600

Answer:

V = 600 cm³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth, h is height )

Here l = 10, b = 3 , h = 20 , then

V = 10 × 3 × 20 = 600 cm³

Answer:

$563.50

Step-by-step explanation:

The computation of the amount that should be paid to Carole last week is shown below

Since she worked 40 regular hours and 6 overtime hours

For regular hours, the wage rate is $11.50

And, for overtime it would be

= $11.50  + $11.50 ÷ 2

= $11.50 + $5.75

= $17.25

So, the amount that should be paid is

= 40 × $11.50 + 6 × $17.25

=  $460  + $103.50

= $563.50

Answer:

Step-by-step explanation:

10 yards by 15 yards

Step-by-step explanation:

Let the dimensions of each plot x yards by y yards.

If three plots are placed as the y-yards side are common to them then,  

The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)

⇒ 3x + 2y = 60 ........... (2)

Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)

Now, solving equations (2) and (4) we get,

⇒ 225 + y² = 30y

⇒ y² - 30y + 225 = 0

⇒ (y - 15)² = 0

⇒ y = 15 yards.

Hence, from equation (4) we get,

x = 150/15 = 10 yards.

Therefore, the dimensions of each plot are 10 yards by 15 yards.

Answer:

Step-by-step explanation:

A

The simulation design could Carlos use to estimate the probability is option D.

Option D is the correct answer.

We have,

In this simulation design:

Carlos assigns specific numbers on the random digits from 1 to 6 to represent different types of songs.

He assigns the numbers 1, 2, and 3 to represent classical songs.

The numbers 4, 5, and 6 represent country songs.

The numbers 7, 8, 9, and 0 represent pop songs.

By generating random digits and observing their values,

Carlos can simulate the random shuffle of his music player.

He would then track and count instances where three consecutive numbers are all in the range of 4, 5, and 6.

These instances would correspond to the occurrence of three consecutive country songs.

Thus,

By running this simulation for a sufficient number of trials, Carlos can estimate the probability of the next three songs being all country songs based on the relative frequency of such occurrences.

Learn more about simulations here:

https://brainly.com/question/1667033

#SPJ2

Answer:

Step-by-step explanation:

Answer:

Sara bought 5 6 penny nails and 3 10 penny nails

Step-by-step explanation:

Answer:

$1.50 2/3

Step-by-step explanation:

I hope this helps :)