A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.

Write your answer as an equation with y first, followed by an equals sign.

Answer:

Lysosomes

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The answer should be "B" (The area of △RST is equal to the area of △LMN.)

The area of ΔRST is equal to the area of ΔLMN.

We know that, if the vertices of a triangle are [tex](x_{1},y_{1}), (x_{2} ,y_{2} ), (x_{3} ,y_{3} )[/tex],

then the area of the triangle is [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

In ΔRST, Vertices are R=(5,5), S=(2,1), T=(1,3)

In ΔLMN, Vertices are L=(0,-1), M=(2,-4), N=(-2,-3)

Area of ΔRST =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                      =  [tex]\frac{1}{2}[/tex] | 5(1-3)+2(3-5)+1(5-1) |

                      =  [tex]\frac{1}{2}[/tex] | 5×(-2)+2×(-2)+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10-4+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔRST =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Again, Area of ΔLMN =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                                   =  [tex]\frac{1}{2}[/tex] | 0(-4+3)+2(-3+1)-2(-1+4) |

                                   =  [tex]\frac{1}{2}[/tex] | 0+2(-2)-2(3) |

                                   =  [tex]\frac{1}{2}[/tex] | -4-6 |

                                   =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔLMN =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Hence, we can say that, the area of ΔRST = the area of ΔLMN

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Answer:

180 cm³

Step-by-step explanation:

2 x 5 x 6 = 30 x 2 = 60

3 x 8 x 5 = 40 x 3 = 120

120 + 60 = 180

Answer: A) 416745x^2 |  B) 57624x^2

How to:  The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Have a great day and stay safe ! sorry if im wrong

Answer: third option 60t + 24t

Step-by-step explanation:

Answer: 60[tex]x^{3}[/tex]-24[tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

W is 6

L is 19

Step-by-step explanation:

L= 4W - 5

P= 2L + 2W

P= 2(4W-5) +2W

50=8W -10 +2W

60 = 10W

W= 6

L= 19

Answer:

Check the explanation below please! :)

Step-by-step explanation:

"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are: yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

Y              Y

Y              G

Y              B

G              Y

G              G

G              B

B              Y

B              G

B              B

There are a total of 9 possible selections."

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Answer:

D

Step-by-step explanation:

9 7/15

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

Answer:

D. 9[tex]\frac{7}{15}[/tex]

Step-by-step explanation:

2[tex]\frac{4}{5}[/tex]+6[tex]\frac{2}{3}[/tex]  becomes

2[tex]\frac{12}{15}[/tex]+6[tex]\frac{10}{15}[/tex]  then you add them together

8[tex]\frac{22}{15}[/tex] then simplify to 9[tex]\frac{7}{15}[/tex]

The equation of the translated function is:

g(x) = (x + 3)^2 - 2

We can see that the blue graph is a translation of the red one, where the equation for the red graph is:

f(x) = x^2

Remember that the translations are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:

g(x) = f(x + 3) - 2 = (x + 3)^2 - 2

So the correct option is A.

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Answer:

the second one

Step-by-step explanation:

Answer:

36 computadores deben ser reparados.

Step-by-step explanation:

Dado que en una oficina hay 96 computadores en total, y la razón entre los computadores que deben ser reparados y aquellos que se encuentran operativos es 3:5, para determinar cuántos computadores de la oficina deben ser reparados en total se debe realizar el siguiente cálculo:

(96 / (3+5)) x 3 = computadores que deben ser reparados

(96 / 8) x 3 = computadores que deben ser reparados

12 x 3 = computadores que deben ser reparados

36 = X

Por lo tanto, 36 computadores deben ser reparados.

Answer:

x=10

Step-by-step explanation:

A to D=90

A to C=60

C to D=30

30-10=20

2(10)=20

x=10

Answer:

345

Step-by-step explanation:

230/4 = 57.5

57.5 times 6 = 345 calories

Answer:

1) supplementary

2) complementary

Step-by-step explanation:

1) FGH= 109 JKL=71

109+72=180

2) AED=45 BEC=45

45+45=90

Answer:

Mason's has 4 cars more.

no, it is still not the same ratio.

Step-by-step explanation:

each lot has 60 vans.

the ratio of cars/vans at Mason's is 7:5.

this means for every group of 5 vans there are 7 cars.

how many groups of 5 vans are there ? 60/5 = 12

so, for each of the 12 groups of 5 vans there are 7 cars.

=> 12×7=84

another way to get there (and faster) :

you can also say that a ratio is actually a division.

7:5 is 7/5

so, 60 × 7/5 = 12 × 7 = 84

in any case, Mason's has therefore 60 vans and 84 cars.

Hyland also has 60 vans, but a ratio of cars to vans of 4:3.

let's do the fast route :

60 × 4/3 = 20 × 4 = 80

Hyland has therefore 60 vans and 80 cars.

so, Mason's has more cars (4 more than Hyland).

now Hyland adds 2 vans, having then 62 vans and still 80 cars.

so, the ratio cars to vans is now 80:62. or 80/62

=> 80/62 = 40/31 which cannot be further simplified, as 31 is a prime number.

40/31 is not equal to 7/5. so, it is still not the same ratio.

Answer:

Step-by-step explanation:

take 42 degree as reference angle

using sin rule

sin 42=opposite/hypotenuse

0.66=6.4/x

x=6.4/0.66

x=9.69

Answer:

the answer is simple

Step-by-step explanation:

hope you got mu explanation

Answer:

6 sin 32°

Step-by-step explanation:

Hope this helps :)

Answer:

48 packages

Step-by-step explanation:

recipicate 1/4 which is 4 the multiply by 12

Hope this helps!!!

Answer:

48

Step-by-step explanation:

1/4 = 0.25

12 / 0.25 = 48

You can make 48 packages.

Answer:

7.8 to 1 decimal place

Step-by-step explanation:

70 pounds for 9 acre

for one acre it'll be 70/9

7.7 recurring or 7.8 to 1dp or 8 to the nearest whole number

Answer:

7/9 pounds

Step-by-step explanation:

I did 70/9 to get 7/9 pounds

Answer: 2 ounces

Step-by-step explanation:

1 pound = 16 ounces

1/12= 0.0833333

if you multiply 0.0833333 by 16, youll get 1.3333

therefore for 1/12 pounds you have 1.333 ounces

and it’s obvious that 2 ounces is greater than 1.3333 ounces

The greater is the 2 ounces.

We have to determmine which one is grater from 1/12 and 2.

1 pound = 16 ounces

We have 1/12= 0.0833333.

Now  multiply 0.0833333 by 16, we get 1.3333.

Therefore for 1/12 pounds you have 1.333 ounces.

Therefore 2 ounces is greater than 1.3333 ounces.

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Answer:

the last one

Step-by-step explanation:

it has nothing to do with 200 so not one or two

and then it is less than 300 that she will drive so she will not drive more than 300 miles away and that is represented by the last inequality

Answer:

Kindly check attached picture for detailed explanation

Step-by-step explanation:

Kindly check attached picture for detailed explanation

Answer:

the other person has it correct

Answer:

From below table compare growth rates for every lawn that required and made a decision based on function family.

Step-by-step explanation:

Following attached table contains each and every lawn details as per time with original, and improvised shown their heights in mm (millimeters).

6/12

- 1/12

= 5/12

6 - 3 = 3

= 3 5/12

Answer:

11.5 inches

Step-by-step explanation:

Answer:

3/13?

Step-by-step explanation:

Answer:

1. [tex]\frac{x^2}{y^8}[/tex]

2 a) [tex]\frac{-49}{2}[/tex]

b) 0

3. x = 10

Step-by-step explanation:

1.

[tex](\frac{x^{-3}y^4}{x^{-2}})^{-2}\\({x^{-3+2}y^4})^{-2}\\({x^{-1}y^4})^{-2}({x^{-1*-2}y^{4*-2})= \frac{x^2}{y^8}[/tex]

2. a)

[tex]2 [(\frac{-1}{4}) -12 (-1)^2] - 5[24 +2 (-12)]^2\\2[(\frac{-1}{4}) -12] - 5[24 -24]^2\\2 * [(\frac{-1}{4}) -12] -0\\\frac{-49}{2}[/tex]

b)

[tex]-a^2b^2 - 3a^3b^2\\-\frac{1}{9}*1 - 3 * \frac{-1}{27} *1\\-\frac{1}{9} + \frac{1}{9}\\0[/tex]

3.

[tex]\frac{3}{4}x + \frac{5}{6} = 5x -\frac{125}{3} \\\frac{5}{6} + \frac{125}{3} = 5x - \frac{3}{4}x\\\frac{5+250}{6} = \frac{20x -3x}{4}\\\frac{255}{6} = \frac{17x}{4}\\x = 10[/tex]

Answer:

18.85 feet

Step-by-step explanation:

Determine the arc length of SR

Arc length = θ/360 × 2πr

r = 9 feet

θ =120°

Arc length = 120/360 × 2 × π × 9

= 18.849555922 feet

Approximately = 18.85 feet

Therefore, the arc length of SR = 18.85 feet