(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.

-2 • (4x2from4 + 5x + 1)

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

(2): Dot was discarded near "2.".

STEP

1

:

Equation at the end of step 1

((-3x -  (23from4 • x2)) -  7x) -  2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

 -8x2from4 - 10x - 2  =   -2 • (4x2from4 + 5x + 1)

Trying to factor a multi variable polynomial :

3.2    Factoring    4x2from4 + 5x + 1

Answer:

i. 10 units (Carol's house is 10 units on the right from Ann's house)

ii. -10 units (Carol's house is 10 units on the left to Ann's house)

Step-by-step explanation:

A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).

In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.

Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.

Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.

So that,

The possible locations of Carol's house depends on its position with respect to Ann's house.

i. Carol's house = 8 + 2

                          = 10 units

This implies that Carol's house is 10 units on the right from Ann's house.

ii. Carol's house = - 8 - 2

                           = -10 units

This implies that Carol's house is 10 units on the left to Ann's house.

Answer:

It is

Step-by-step explanation:

imagine that C is 1.

1 - 19x 1

1- 19

-18

im not sure how to explain it, but i know its b

Answer:

6x - 4

Step-by-step explanation:

Perimeter is equal to double the length plus double the width, and if you use this to find perimeter, you would get that the perimeter = 2(2x-7)+2(x+5), which simplifies to 4x - 14 + 2x + 10, which simplifies to 6x - 4. That means that the rectangle's perimeter is 6x-4.

Answer:

The correct option is B.

Step-by-step explanation:

Consider the provided information.

The dimensions of bricks are in inches so convert foot into inches.

1 foot = 12 in

4 feet = 48 in

8 feet = 96 in

To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.

[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]

[tex]\text{Number of bricks in space}=576[/tex]

Hence, 576 bricks can be fit into a space.

Therefore the correct option is B.

Answer:

X-Intercept: [tex]x=-\frac{5}{2}y[/tex]

Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]

Step-by-step explanation:

X-Intercept-

2x+5y=0     - Move the variable to the right-hand side and change its sign

2x=-5y     - Divide both side of the equation by 2

x=-5/27     - Write the solution x in parametric form

x=-5/2y, y∈R

Y-Intercept-

2x+5y=0    - Move the variable to the right hand side and change its sign

5y=-2x     Divide both sides of the equation by 5

y=-2/5x     Write the solution y in parametric form

y=-2/5x, x∈R

Answer:

Use pythogoras theorem

a^2+b^2=c^2

x^2=c^2-a^2

x^2=15^2-12^2

x^2=81

x= square root of 81

x=9

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other.  We then set them equal to each other:

x^2 - 2x + 1  =  x^2 + 2x - 7

We now do algebra to isolate x.  Subtract 1 from both sides.

x^2 - 2x  =  x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x  =  x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

Answer: 18 students would like to learn Spanish

Step-by-step explanation:

Answer:

[tex]x=3[/tex]

[tex]y=1[/tex]

Step-by-step explanation:

We can subtract the first equation from the second to find the value of [tex]y[/tex], although we can also do this vice versa.

[tex]x-x=2y+1-y-2[/tex]

[tex]y-1=0[/tex]

[tex]y=1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]x = y+2[/tex] (pick any equation for substitution)

[tex]x=1+2[/tex]

[tex]x=3[/tex]

Hope this helps :)

Answer:

Can you put a number line in the picture?

Step-by-step explanation:

That would really help

Answer:

I think its C but without the number line a cant tell.

Step-by-step explanation:

Answer:

64%

Step-by-step explanation:

I hope this helps!

Answer:

y= -(2/5)x

Step-by-step explanation:

When you graph this line you can see it clearly passes through the point (5,-2)

Answer:

y + 2 = -2/5 (x - 5)

OR

y = (-2/5)x

Step-by-step explanation:

There are many ways you can find the equation.

There are two main ones, one called point-slope form, and the other called slope intercept form.

Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.

Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.

The equation would be y + 2 = -2/5 (x - 5).

Slope intercept form is a bit harder. You need a point and the y-intercept.

Since you already have the slope, all you need to find is the y-intercept.

Slope intercept form is y = mx + b

x and y are the given points. m is the slope, and b is the y-intercept.

The y intercept is when the x value of a point is 0.

To find b, you can plug in the information you have, which is the point and the slope.

y = mx + b

-2 = (-2/5)(5) +b

-2 = -2 +b

b = 0

Since b is 0, the equation would just be y = (-2/5)x.

Answer:

The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}

Step-by-step explanation:

The domain is the set of values of the input (x)

The range is the set of values of the output (y)

In the given figure

∵ x is the input

∴ The set of the values of x is the domain

∵ Y is the output

∴ The set of the values of y is the range

∵ The smallest value of y is -6

∵ The greatest value of y is 8

→ That means values of y of the graph are from -6 to 8

∴ -6 ≤ y ≤ 8

∴ The range = {y : y ∈ R, -6 ≤ y ≤ 8}

∴ The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}

Answer: D: Y=(x-1)(x-1)

Step-by-step explanation:

The function described by the graph is [tex](x-1)^2[/tex].

Therefore, the correct answer is Option D. y = ( x - 1 ) ( x - 1 )

Given data:

The function is represented as f(x) = y

Now, the value of f(x) is plotted below:

To plot the graph, start by determining some key points and then connecting them.

When x = 0:

f(0) = 1

So, the point is (0, 1).

When x = 1:

f(1) = 0

So, the point is (1, 0).

When x = 2:

f(2) = 1

So, the point is (2, 1).

The graph of [tex]f(x) = (x - 1)^2[/tex]  is a parabola that opens upwards. The vertex of the parabola is at the point (1, 0), which corresponds to the minimum value of the function.

As x moves further away from 1 in either direction, the function increases.

Hence, the parabolic function is [tex]f(x) = (x - 1)^2[/tex].

To learn more about parabola, refer:

https://brainly.com/question/24042022

#SPJ7

Answer:

1 slope of f is 5

slop of g is 2

2. connor

initial value is 200

rate of change is -10

Pilar

initial value is 242

rate of change is -8

3.

y intercept of f is -3

y intercept of g is -1

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

.

Answer:

322

Step-by-step explanation:

23x14=322

Answer:

A. 1,112

Step-by-step explanation:

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by finding the profit per chair:

So,

Profit per chair = Selling price - Production cost

= $55.75 - $16.91

= $38.84

Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:

Profit = Profit per chair x Number of chairs sold - Overhead costs

$24,850 = $38.84x - $18,340

$43,190 = $38.84x

x = 1,112.49

Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Therefore,

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

C | 1/5

Step-by-step explanation:

There are 5 20s in 100. Meaning if you only have one 20, it'd be 1/5.

Answer:

C: 1/5 · 60

Step-by-step explanation:

I got it right on I-ready.

Hope this helps!

From: Aug1e

Answer:

She draw 40 flowers

Step-by-step explanation:

Given

[tex]Length = \frac{1}{5}m[/tex]

[tex]Flower = \frac{1}{200}m[/tex]

Required

Determine the number of flowers

To do this, we simply divide the length of the border by the length of the flower.

[tex]Number = \frac{1}{5}/ \frac{1}{200}[/tex]

Convert to multiplication

[tex]Number = \frac{1}{5}* \frac{200}{1}[/tex]

[tex]Number = \frac{200}{5}[/tex]

[tex]Number = 40[/tex]

Hence, she draw 40 flowers

Answer:

x = 2/5 or 0.4

Step-by-step explanation:

3x - 6 = 4(2 - 3x) - 8x

distribute

3x - 6 = 4*2 - 4*3x - 8

3x - 6 = 8 - 12x - 8

combine like terms

3x - 6 = -12x

add 12x to both sides of the equation

3x - 6 + 12x = -12x + 12x

3x - 6 + 12x = 0

15x - 6 = 0

add 6 to both sides of the equation

15x - 6 + 6 = 0 + 6

15x = 6

divide both sides of the equation by 15

15x/15 = 6/15

x = 6/15

x = 2/5

x = 0.4

Answer:

15.6 and

Step-by-step explanation:

Answer:85

Step-by-step explanation: In this problem you are trying to find the missing angle of a line. In a line all angles have to add up to 180 so what you wanna do first is add 55 and 40 which gives you 95. Next, you wanna subtract 95 from 180 which will give you 85. Now you know the missing angle.

Given:

In triangle ABC, Q is the centroid and FQ=9.

To find:

The length of FC and QC.

Solution:

We know that, centroid is the intersection point of medians of a triangle and medians divide teach other in 2:1. So, centroid divided each median in 2:1.

CF is a median and Q is the centroid. So,

[tex]QC:FQ=2:1[/tex]

Let the length of QC and FQ are 2x and x respectively.

We have, FQ=9.

[tex]x=9[/tex]

Now,

[tex]QC=2x[/tex]

[tex]QC=2(9)[/tex]

[tex]QC=18[/tex]

And,

[tex]FC=FQ+QC[/tex]

[tex]FC=9+18[/tex]

[tex]FC=27[/tex]

Therefore, the length of FC is 27 units and length of QC is 18 units.

9514 1404 393

Answer:

  7. c(n) = 10 +2(n -1)

  8. c(20) = 48

Step-by-step explanation:

7. Your arithmetic sequence has first term a1=10 and constant difference d=2. The explicit formula for terms of an arithmetic sequence is ...

  an = a1 +d(n -1)

If we use c(n) as the function name for the function giving the number of chairs in row n, then we can fill in the numbers we know to get ...

  c(n) = 10 + 2(n -1)

__

8. Evaluating the function when n=20, we find ...

  c(20) = 10 +2(10-1) = 10 +2·19 = 10 +38

  c(20) = 48

There are 48 chairs in row 20.

Given:

[tex]\Delta ABE\cong \Delta MNP[/tex]

To find:

The congruent angles and sides, then find the another valid congruency statement.

Solution:

We have,

[tex]\Delta ABE\cong \Delta MNP[/tex]

We know that, corresponding parts of congruent triangles are congruent (CPCTC).

Using CPCTC, we get

Angles:

[tex]\angle A\cong \angle M[/tex]

[tex]\angle B\cong \angle N[/tex]

[tex]\angle E\cong \angle P[/tex]

Sides:

[tex]AB\cong MN[/tex]

[tex]BE\cong NP[/tex]

[tex]AE\cong MP[/tex]

The another congruent statement is [tex]\Delta BEA\cong \Delta NPM[/tex].

Therefore, the required table is

Angles                                              Sides

[tex]\angle A\cong \angle M[/tex]                                        [tex]AB\cong MN[/tex]

[tex]\angle B\cong \angle N[/tex]                                        [tex]BE\cong NP[/tex]

[tex]\angle E\cong \angle P[/tex]                                        [tex]AE\cong MP[/tex]

The another congruent statement is [tex]\Delta BEA\cong \Delta NPM[/tex].

Reasoning:

There are 12 face cards since there are 3 face cards in any suit, and 4 suits. So 3*4 = 12.

There are 52 cards total.

Dividing the values leads to 12/52 = 0.230769 which rounds to 0.23