(1) In 2019, the energy company divided its profits in the ratio;

shareholders : bonuses : development = 5 : 2 : 6

In 2019, its profits were $390 million.

Calculate the amount the company gave to shareholders.

(2) The share price of the company in June 2019 was $285.25. This was an increase of 3.3% on the share price in May 2019.

Calculate the share price in May 2019.

Answer:

Sam: $30; Bethan: $24

Step-by-step explanation:

Since the ratio is 5:4 Sam has to pay 5/9 of the total which is 54. To find how much he pays set up the equation like this.

[tex]\frac{x}{54} =\frac{5}{9}[/tex]

Cross Multiply

54(5)=9x

270=9x

Divide by 9

30=x

So Sam pays $30. To find out how much Bethan pays simply subtract 30 from 54

54-30=24

So Bethan pays $24

Answer:

[tex]y=\frac{3}{4} x-2[/tex]

Step-by-step explanation:

The line has a positive slope, that much is clear. If we just count from the y-intercept up to the next clear point, we can see that it is 3 up and 4 to the right. That gives us a rise over run of 3 over 4, or [tex]\frac{3}{4}[/tex].

The y-intercept is -2, so that is the latter half of the equation.

Answer:

f(3)=-11

in other words

When x=3, y=-11

Step-by-step explanation:

f(x)=-3x-2

f(3)=-3(3)-2

f(3)=-9-2

f(3)=-11

Cube Root

[tex] {p}^{3} = 8 \\ p = \sqrt[3]{8} \\ p = \sqrt[3]{ 2\times 2 \times 2} \\ p = 2[/tex]

Formula

[tex] {p}^{3} - 8 = 0[/tex]

Use the following formula.

[tex] {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )[/tex]

[tex](p - 2)( {p}^{2} + 2p + 4)[/tex]

The expression p²+2p+4 has the discriminant less than 0 ( D < 0 ).

Thus, remove the expression and leave only p-2

[tex]p - 2 = 0 \\ p = 2[/tex]

Substitution

The most obvious number that multiplies itself three times and equal 8 is 2.

Substitute p = 2

[tex] {p}^{3} = 8 \\ {2}^{3} = 8 \\ 2 \times 2 \times 2 = 8 \\ 8 = 8[/tex]

The equation is true, thus 2 is the answer.

Answer:

2:9

Step-by-step explanation:

8 adult fish:36 baby fish

To simply both, divide by 4

2 adult fish: 9 baby fish

Answer:

[tex]0.00000013=1.3*10^{-7}[/tex]

Step-by-step explanation:

Example of how scientific notation works:

[tex]150=1.50*10^{2}[/tex]

How many zeros are there?

6

How many spaces to make it 1.3?

1

6+1=7

[tex]0.00000013=1.3*10^{-7}[/tex]

Answer:

3636

Step-by-step explanation:

Given:

To find: The dimensions.

Answer:

Formula to find the perimeter of a rectangle = 2 × (Length + Width)

We know that 2X + 2Y = 66. Simplifying it, we get:

2(X + Y) = 66

X + Y = 66/2

X + Y = 33

Now that we know the value of X + Y, and assuming X and Y to be the dimensions, let's substitute it into the formula to find the perimeter and verify it.

Perimeter = 2 × (X + Y)

66 = 2 × 33

It's verified.

Now, we also have the expression representing the length, which is X + 3 = Y.

X + Y = 33

X + 3 = Y

Let's add both expressions.

X + Y + X + 3 = 33 + Y

2X + Y + 3 = 33 + Y

2X = 33 - 3 + Y - Y

2X = 30

X = 30/2

X = 15

Hence, the width [X] is 15.

Substituting this value into the expression representing the length,

15 + 3 = Y

18 = Y

Hence, the length and breadth of the rectangular picture frame is 18 and 15 units respectively.

Hope it helps. :)

Answer:

The container can hold 18 gallons

Step-by-step explanation:

Assume the container can hold x gallons

∵ The container is [tex]\frac{2}{3}[/tex]  full with water

∵ It can hold x gallons

→ Multiply [tex]\frac{2}{3}[/tex] by x to find the number of gallons in the container

∴ The number of gallons in the container = [tex]\frac{2}{3}[/tex] x

∵ 4 gallons of water pouring out

∵ It is  [tex]\frac{4}{9}[/tex] full

→ Multiply [tex]\frac{4}{9}[/tex] by x to find the number of gallons left in it

∴ The number of gallons left in the container = [tex]\frac{4}{9}[/tex] x

→ The difference between the numbers of gallons is 4 gallons

∵  [tex]\frac{2}{3}[/tex] x - [tex]\frac{4}{9}[/tex] x = 4

→ Subtract the terms of the left side

∴ [tex]\frac{2}{9}[/tex] x = 4

→ Multiply both sides by 9

∴ 2x = 36

→ Divide both sides by 18

∴ x = 18

∵ x represents the full of the container

∴ The container can hold 18 gallons

Answer:

5(x+2)=10

Step-by-step explanation:

use the PEMDAS, solve first the one inside the parenthesis and then multiply the sum to 5

Answer:

21.8°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

x=8 & x=6

Step-by-step explanation:

Answer:

X= X2+48/14

Step-by-step explanation:

Answer:

The team lost 9 matches

Step-by-step explanation:

Given

[tex]Matches = 30[/tex]

[tex]Lost = \frac{3}{10}[/tex] of the matches

[tex]Draw = 3[/tex]

Required

Determine the number of matches lost

From the question, we have:

[tex]Lost = \frac{3}{10}[/tex] of the matches

Mathematically, this is:

[tex]Lost = \frac{3}{10} * Matches[/tex]

Substitute 30 for Matches

[tex]Lost = \frac{3}{10} * 30[/tex]

[tex]Lost = \frac{3* 30}{10}[/tex]

[tex]Lost = \frac{90}{10}[/tex]

[tex]Lost = 9[/tex]

The team lost 9 matches

Answer:

its triangle shown in attached figure

Step-by-step explanation:

Graph is attached

Answer:

48 percent decrease

Step-by-step explanation:

before=28 dollars

after=14.60

sorry, i cant be bothered to answer it all!!!!

9514 1404 393

Answer:

  (5, 1)

Step-by-step explanation:

Reflection across the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

Rotation 90° CCW is the transformation ...

  (x, y) ⇒ (-y, x) . . . . rotation 90° CCW

The two transformations together give ...

  (x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW

For point B, this gives ...

  B(1, 5) ⇒ B'(5, 1)

Answer:

when x=6

26+x^2-1^3

26+6^2-1^3

26+36-1

61.

so the answer is.61

Answer:

[tex]9\times 10^7\ \text{grains of sand}[/tex]

Step-by-step explanation:

Given that,

A bricklayer needs to order 6300kg of building sand.

1 grain of this sand weighs [tex]7\times 10^{-5}\ kg[/tex].

We need to find how many grains of sand are there in 6300 kg.

It can be just calculated as follows :

1 grain of sand =  [tex]7\times 10^{-5}\ kg[/tex]

[tex]6300\ kg=\dfrac{6300}{7\times 10^{-5}}\\\\=9\times 10^7\ \text{grains of sand}[/tex]

or

= 90000000  grans of sand

So, 6300 kg is equal to [tex]9\times 10^7\ \text{grains of sand}[/tex].

Answer:

(2, -3)

x = 2

y = -3

Step-by-step explanation:

Answer:

y=3,x=8

Step-by-step explanation:

y=x-5

y=-7x+11

x=y+5

y=-7(y+5)+11

y=-7y-35+11

8y=24

y=3

3=x-5

x=8

the answer is six

I'm sure

Answer:

14

Step-by-step explanation:

Answer:

centi

Step-by-step explanation:

Hey there!

When you see/hear the word “octo-”

(or “-octa”) think of ‘octagon’ and how they have ‘EIGHT SIDES’. So this means that prefix means 8; when you see/hear the word “penta-” think of ‘pentagon’ because it ‘FIVE SIDES’. So means that prefix means 5; When you see/hear the word “milli-” think of ‘one thousandths’ (this comes in handy when you’re working with DECIMALS and SOME MEASUREMENTS); when you see/hear “centi-” think of

centigrade.. you’ll learn about that in measurements as well.. it equals 100

Now that we had to break down the meaning of the prefixes we reached our answer:

The one that has the meaning for hundred is “centi- (option D)” would most likely be your answer

Answer: D. Centi- ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

a) Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

b) Los dos números son: 57 y 24

Step-by-step explanation:

Estamos tratando con 2 números

Dejar

El primer número = x

El segundo número = y

La suma de dos números es 81.

x + y = 81 ...... Ecuación 1

La diferencia de los mismos dos números es 33.

x - y = 33 ....... Ecuación 2

Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

Resolvemos estas ecuaciones usando el método de eliminación

Restamos la ecuación 2 de la ecuación 1 para eliminar

2y = 48

y = 48/2

y = 24

Resolver para x usando la Ecuación 1

x + y = 81 ...... Ecuación 1

x + 24 = 81

x = 81 - 24

x = 57

Por lo tanto, los dos números son: 57 y 24

Answer:

3.25 or 3 1/4 inches

Step-by-step explanation:

A = lw

22.75 = 7w

w = 3.25 which is 3 1/4