3х – 2y = 27
=
3х -
у = 24

Answers

Answer 1

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-2*y-(27)=0

STEP1:

Equation of a Straight Line

1.1 Solve 3x-2y-27 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000

y-intercept = 27/-2 = -13.50000

Calculate the X-Intercept :

When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000

x-intercept = 27/3 = 9

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.000/2.000 = 1.500

Geometric figure: Straight Line

Slope = 3.000/2.000 = 1.500 x-intercept = 27/3 = 9 y-intercept = 27/-2 = -13.50000


Related Questions

12÷5/2=
Tell the answer quick!!

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

mark braineist pls

5. Which pair of trig functions are equivalent?

(20 Points)

sin 23. sin 67

cos 41. sin 41

cos 58, sin 122

cos 76, sin 14

WILL MAKE BRAINLIEST IF CORRECT <3

Answers

Answer: cos(76°) ---> sin(14°)

Teacher Kaye is saving ₱2,000 every month by depositing it in a bank that gives an interest of 1% compounded quarterly. How much will she save in 5 years?

Answers

Answer:

1,23,098

Step-by-step explanation:

............

6 friends paid for a parking ticket each. Each ticket had a surcharge extra of $11 per ticket. The total they paid for their parking was $186. What was the price of each ticket without the surcharge?

Answers

Answer:

$20

Step-by-step explanation:

Money paid with surcharge by 6 friends = $ 186

Money paid with surcharge by a friend = 186 ÷ 6 = $ 31

Money paid by each friend without surcharge = 31 - 11 = $ 20

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.

The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?

180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets

Answers

Answer:

180 food tickets and 350 ride tickets

Step-by-step explanation:

The number of food tickets sold is 180 and ride tickets is 350.

In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.

2x + 3y = 1240 equation 1

x = 2y – 10 equation 2

Substitute for x in equation 1

2(2y -10) + 3y = 1240

4y - 20 + 3y = 1240

Combine similar terms

7y = 1240 + 20

7y = 1260

Divide both sides of the equation by 7

y = 1260 / 7

y = 180

Substitute for y in equation 1

2x + 3(180) = 1240

2x + 540 = 1240

2x = 1240 - 540

2x = 700

x = 700 / 2

x = 350

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equation representing the given statement is ~

[tex]50x + 330 \geqslant 820[/tex]

The least number of lawns that he can cut and buy the computer is 10 lawns ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

total number of lawns cut × $50

50x

total savings is equal to ~

330 + 50x

hence,

[tex]50x + 330 \geqslant 820[/tex]

by solving for " x (number of lawns cut) " we get ~

[tex]50x \geqslant 820 - 330[/tex]

[tex]50x \geqslant 490[/tex]

[tex]x \geqslant 490 \div 50[/tex]

[tex]x \geqslant 9.8[/tex]

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

[tex]10[/tex]

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Answers

-146 is the 32nd term in the sequence

Answer:

-146

Step-by-step explanation:

so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows

9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146

the 32nd term would be -146

What is the standard form of this expression?
(1 + 71i)(3 - i)

Answers

the standard form of this expression is

(72+3)(-i)

What is the length of the diagonal of the square shown below?
5
45°
5
5
90°
5
A. V5
B. 5
C. 55
D. /10
E. 52
F. 25

Answers

Answer:

E

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the diagonal ( hypotenuse ) be d , then

d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )

d = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] → E

How do I solve this :
3x + y= 1 and x - 2y = 5​

Answers

Answer:

(1,-2)

Step-by-step explanation:

x - 2y = 5

3x + y= 1 (1)

x - 2y = 5

x = 5 + 2y (2)

Substitute (2) into (1)

3x + y = 1

3(5 + 2y) +y = 1

15 + 6y + y = 1

15 + 7y = 1

7y = 1 - 15

7y = -14

y = -2  (3)

Plug (3) into (1) to find x

3x + y = 1

3x + (-2) = 1

3x - 2 = 1

3x = 3

x = 1

(1,-2)

What is the solution to the equation 4 = 6? y = 1 y = 4 y = 500 y = 2000.

Answers

Answer = y=4. equation

Please see help, please

Answers

Answer:

69

Step-by-step explanation:

420

Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]

Answers

The required expression in terms of logarithm of prim numbers are;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Prime numbers are numbers that can only be divisible by 1 and itself.

From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers

405 = 3 * 3 * 3 * 3 * 5

405 = 3^4 * 5

8= 2* 2 * 2

8 = 2^3

81 = 3 * 3 * 3 * 3

81 = 3^4

The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

Similarly;

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Learn more here: https://brainly.com/question/23004769

Triangle JKL has the following measures:

Side JK = 4 cm

Side KL = 7 cm

Angle J = 38°

Triangle PQR has the following measures:

Side QR = 7 cm

Side PQ = 4 cm

Angle Q = 38°

Which statement is accurate about triangles JKL and PQR?

A. They are not congruent

B. They are based on AAS criteria

C. They are based on SSS criteria

D. They are based on SAS criteria​

Answers

The triangles are not congruent.

Option A is correct.

What is the length of the radius of a circle if the equation for the circle is (x + 2)2 + (y - 9)2 = 22.09?

Answers

Answer:

The radius is 4.7 units.

Step-by-step explanation:

To answer this we need only find the square root of 22.09:  4.7

The radius is 4.7 units.

Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount Mr. Chin pays, including tip? $160. 16 $165. 00 $170. 50 $174. 46.

Answers

Answer:

$160.16

Step-by-step explanation:

Well first you need to find 12% of 143.

100%=143

10%=14.3

2%=2.86

12%=17.16

Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.

please help me with this question!!

Answers

Answer:

Step-by-step explanation:

9/50 // 12 / 1     You have a 4 tier fraction here.  You must invert the denominator (12/1) and multiply

9/50 * 1/12          Cancel 3 in the 9 and 3 in the 12

3/50 * 1 / 4         Multiply the numerators together and the denominators together.

3 / 200  each bottle with have 3/200 L or 1.5 / 100 L syrup in it.

1.5 / 100 L = 1.5 * 10 / 100 * 10 = 15 mL of medication in each bottle.      

 

Can someone help me out with this please​

Answers

Answer:

  a. $4200

  b. $32,300

  c. $5814

  d. $30,686

  e. 2557.17

Step-by-step explanation:

a.

The man can claim all of the allowances shown in the problem statement, except the single person's allowance.

  total allowances = married + young child + child in school + dependent relative

  total allowances = $2400 +500 +1000 +300 = $4200

__

b.

The man's taxable income is his income after allowances have been deducted:

  taxable income = gross income - allowances

  taxable income = $36,500 -4,200 = $32,300

__

c.

The tax is found by multiplying the tax rate by the taxable income.

  tax = (tax rate) ×(taxable income)

  tax = 0.18 × $32,300 = $5,814

__

d.

The net income is the gross income less the taxes paid.

  net income = gross income - tax paid

  net income = $36,500 -5,814 = $30,686

__

e.

The man's net monthly salary will be 1/12 of his annual net income.

  net monthly salary = $30,686/12 ≈ $2,557.17

solve pls brainliest

Answers

Answer:

$6.75

Step-by-step explanation:

try try serving it's ok glad to help

Complete the recursive formula of the arithmetic sequence -1, -13, -25, -37
a ( 1 ) =
a ( n ) = a ( n-1 ) +

Answers

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows the next term in a sequence by adding the common difference d to the previous term.

d = a₂ - a₁ = - 13 - (- 1) = - 13 + 1 = - 12 , then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 12 with a₁ = - 1

Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of
rectangle ABCD is 24 in and the perimeter of rectangle EFGH is 48in. If the width
of rectangle ABCD is 2in, then what is the area of rectangle EFGH?

Answers

Answer:

4in

Step-by-step explanation:

The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.

Perimeter of rectangle ABCD = 24 inch

Perimeter of rectangle EFGH = 48 inch

The ratio of perimeters of rectangle ABCD to EFGH will be :

= 24 : 48

= 1 : 2

It is also given that the width of rectangle ABCD is 2 inch.

Perimeter of triangle ABCD is :

P = 2 ( L + B )

24 = 2 ( L + 2)

L + 2 = 12

L = 10 inch

The area of rectangle ABCD will be :

= 10 × 2

= 20 inch²

As the perimeters of ABCD and EFGH are in ratio 1 : 2.

The area of rectangle EFGH will be :

= 20 × 2

= 40 inch ²

Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

Learn more about area of rectangle here :

https://brainly.com/question/25292087

#SPJ2


Type the expression that results from the following series of steps:
Start with z and add 5.

Answers

the answer will be z+5

I'M CONFUSED can anyone explain how to solve/do this ? ​

Answers

Answer:

The pantograph is spring-loaded and pushes a contact shoe up against the underside of the contact wire to draw the current needed to run the train.    As the train moves, the contact shoe slides along the wire and can set up standing waves in the wires which break the contact and degrade current collection.

Step-by-step explanation:

need help please 100 pts

Answers

Pretty sure it’s B

Hope this helps

Answer:

b)

Step-by-step explanation:

What is 0.375 as a whole percent?

Answers

Answer:

0.375 is 37.5 % of 1

Step-by-step explanation:

PLEASE HELP GIVING BRAINLIEST! :)
--------------------------------------------------------------------------------

Which is the correct translation of the sentence into an equation?

Four less than a number is 12.

A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4

Answers

Answer:

B

Step-by-step explanation:

n is a number. 4 less then that number translates to n-4, so the answer is B:

n-4=12

Hope that helps! :)

Answer:

C: n-4= 12

Step-by-step explanation:

To understand why this answer is correct, lets break down the sentence.

Four less = [tex]4-[/tex]The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.

Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.

A local cable TV company charges $4 for older movies and $8 for current movies, plus a monthly fee of $30. In July, Kendra ordered 5 older movies and 3 current movies.

True or False: The equation below can be used to solve the problem.

c = (5 x 4) + (3 x 8) + 30

Answers

Answer:

I'm past that level of math. Here's the answer:Letter B

Step-by-step explanation:

Find the measure of the exterior angle.

Answers

Answer:

125

Step-by-step explanation:

75 + 50

Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 8.2) and (2, 7.3)
a.
y = negative 0.6 x minus 6.1
b.
y = 0.6 x minus 6.1
c.
y = negative 0.6 x + 6.1
d.
y = 0.6 x + 6.1

Answers

Answer:one way is to simply use slope intercept form or point slope form

point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)

slope intercept: y=mx+b where m=slope and b=yintercept

slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)

we are given

(3.5,8.2) and (2,7.3)

slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6

slope=0.6 or 6/10

point slope

use any point

y-y1=m(x-x1)

y-7.3=0.6(x-2) or

y-8.2=0.6(x-3.5)

slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides

take first one

y-7.3=0.6(x-2)

y-7.3=0.6x-1.2

add 7.3 both sides

y=0.6x+6.1

equation is

POINT SLOPE FORM:

y-7.3=0.6(x-2) or

y-8.2=0.6(x-3.5)

SLOPE INTERCEPT FORM:

y=0.6x-6.1

Step-by-step explanation:

One theme in “Thank You, Ma’am” is that respectful treatment encourages mutual respect. Which passages from the story support this theme?

Select all that apply.

Thank You, Ma’am


He did not trust the woman not to trust him. And he did not want to be mistrusted now.
He did not trust the woman , not, to trust him. And he did not want to be mistrusted now.

The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.

The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.

“Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink.

Answers

Answer:

Either B. 'The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him' or A. 'He did not trust the woman not to trust him. And he did not want to be mistrusted now.'.

Step-by-step explanation:

Brainliest Please!

The passages from the story "Thank You, Ma'am" that support the theme that respectful treatment encourages mutual respect are: "The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him." "The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next." and "Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink." Correct options are 2, 3 and 4.

These passages highlight how the woman treats the boy, Roger, with kindness and respect despite his attempt to steal her purse. Her understanding and respectful treatment lead Roger to reflect on his actions and ultimately decide to follow her guidance. This illustrates how respectful treatment encourages mutual respect between the characters.

To know more about respectful treatment :

https://brainly.com/question/28730771

#SPJ3

Other Questions
find the volume of the prism Whats the answer need in 20 minutes Name the three common states of matter on earth.Which states of matter have a set shape? Explain why this is, based on the animations you observed for the different states of matter.Which states of matter have a set volume? Explain why this is, based on the animations you observed for the different states of matter.The boiling point is the temperature at which a liquid substance will turn to vapor, and also the temperature at which vapor will condense to a liquid. The boiling point of ethanol is about 80C, and the boiling point of water is about 100C.What can you conclude about the intermolecular forces in water and ethanol?Do you predict water freezes at a higher temperature or at a lower temperature than ethanol?Recall how different Van der Waals attractions and how ionic charges changed the movement of atoms in the animation. Do you think that Van der Waals attractions or ionic charges are stronger? Why?1. solid, liquid and gas2.Solid can move but gas and liquid is more flexible than solid. Solid has a fixed volume while liquid and gas takes the volume of its container. Solid stays in one place while gas and liquid is flexible.3.Among the 3 state, solid has a fixed volume while liquid takes the volume of its container. When gas is compressed, it takes the volume of its container likewise. Your deductible expenditures are $8236 for interest on a home mortgage, $3528 for contributions to charity, and $634 for state income taxes. Your filing status entitles you to a standard deduction of $12,200. Should you itemize your deductions rather than claiming the standard deduction? If so, what is the difference? Your 12 turkeys drink 7.6 L of water a day. Howmuch water does one turkey drink per day? Find the greatest common factor of 21 and 46. Find the distance between stress also affects _________________ and is influenced by self-care matters such as diet and exercise and organizational issues like time management. stress can cause more than just a bad day. A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation?Please give an actual answer NO LINK SPAM OR REPORT: Tell whether x and y show direct variation. Explain your reasoning. If so, find k.xy=0 1. Hydrogen and nitrogen combine to form ammonia. When nitrogen and hydrogen bond, nitrogen pulls the electrons from hydrogen toward itself. Which statement about the reactants is correct?A) Hydrogen is oxidized, and nitrogen loses electrons.B) Hydrogen is oxidized, and nitrogen is reduced. C) Hydrogen gains electrons, and nitrogen is reduced. D) Hydrogen is reduced, and nitrogen is oxidized. 2. Which phrase best defines a redox reaction? A) A reaction in which the number of oxygen atoms is reduced. B) A reaction in which elements are transferred between different atoms. C) A reaction is which oxygen combines with different atoms. D) a reaction in which elements are released from the system. 3.Which statement describes the process of oxidation? A) Oxidation results in a loss of electrons, so the oxidation number increases. B) Oxidation results in a gain of electrons, so the oxidation number increases.C) Oxidation results in a gain of electrons, so the oxidation number decreases. D) Oxidation results in a loss of electrons, so the oxidation number decreases. 4. Which chemical equation represents a redox reaction? A) TiCl4(s) + 2H2O(g) TiO2(s) +4HCl(g)B) CaO(s) + SiO2(s) CaSiO3(l)C) CaCO3(s) CaO(s) + CO2(g) D)Fe2O3(s) + 2Al(s) Al2O3(s) +2Fe(l)5. Which elements are oxidized and reduced in the reaction below? Br2 (l) + 2NaI(aq) I2 (s) + 2NaBr(aq)A) Bromine (Br) is oxidized, and iodine (I) is reduced. B) Iodine (I) is oxidized, and bromine (Br) is reduced.C) Sodium (Na) is oxidized, and bromine (Br) is reduced.D) Bromine (Br) is oxidized, and sodium (Na) is reduced. A farmer uses two types of fertilizers. A 50lb bag of fertilizer A contains 6 lb of nitrogen and 3lb of phosphorus. A 50 lb bag of fertilizer B contains 4 lb each of nitrogen and phosphorus. The minimum requirements for a field are 480 lb of nitrogen and 240 lb of phosphorus. If a 50lb bag of fertilizer A costs $35 and a 50 lb bag of fertilizer B costs $25 find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. mathematically formulate and state the problem. Why do you think tribal people resisted conversion to Christianity Answer Asap! find the equation of the line passing through (3,-6) with the gradient of -1/2 Why do you think people lack micronutrients? help me urgent thankyouu Which of the following occurred under the Abbasid Caliphate (750 CE)? A. Rome was named the capital. B. Cairo was named the capital. C. Baghdad was named the capital. D. Mecca was named the capital. The Killer ClownsOne dark and stormy night, a loud bang came from the garage. A 10 year old girl named Rosa went to see what it was. When Rosa opened the door the lights went out. She knew there was a flashlight near the door, but she couldnt find it, and the breaker-box was on the other side of the house in the basement. Suddenly the lights started to flicker on and off. She heard footsteps coming down the hall. Rosa ran and hid is a closet across the hall, she whispered to herself Please dont come this way. Clump, Clump, Clump She heard the footsteps getting closer, all of a sudden they stopped in front of the door and went back down the hall. Rosa let out a sigh of relief. Then she heard a clown car and thought Thats odd, clown cars dont pass through this late but realized there were killer clowns on the loose and the police couldnt stop them, the clowns already killed the entire police force. She knew what she had to do. The kitchen was down the hall and it sounded like the intruder was upstairs in the attic. Rosa had found a bag and started towards the kitchen, she knew exactly where the kitchen knives were and grabbed some food and a large carving knife. She also grabbed her mothers pistol and some ammo from the gun safe. She heard the front door rattling and knew to get to her room, because it was her and her puppy, Rose-Bud who was a pit bull, that night and it had no windows to get in through.Rosa locked the room door and pushed the dresser and nightstand against the door to barricade the door. Rosa heard the honking of a rubber chicken, and she knew the clowns were here. Still instead of screaming she stayed silent, got the gun loaded and ready to fire then hid in her closet. She would be safe in there for the time being, suddenly she knew Chuckie had teamed up with the killer clowns. Who else would have the clowns teamed up with besides a haunted doll? Rosa heard a knife scraping against the wall, it was deafening. Rosa was still in her closet with Rose-Bud. Bang, Bang, Bang went the door, a clown had gotten in! The clown opened the closet door very slowly and got shot straight in the heart. The gunfire made Chuckie and all the clowns run, but they are still out there. Innovative team firms should have managers who provide ________, ________, and perspective to the team.