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There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few cl

Pie

Complete question :

There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following clue :

Let manager's age = m

Kirk's age = k

Brian's age = b

Matt's age = a

Sum of their ages = 106

k = 2(m - 10) = 2m - 20

b = 2m - 12

a = 0.5m + 6

k + b + a + m = 106

Express all their ages in terms of m

2m - 20 + 2m - 12 + 0.5m + 6 + m = 106

5.5m - 20 - 12 + 6 = 106

5.5m - 26 = 106

5.5m = 106 + 26

5.5m = 132

m = 132 / 5.5

m = 24

Manager's age = 24 years

kirk = 2(24 - 10) = 2(14) = 28 years

Brian = 2(24) - 12 = 48 - 12 = 36 years

Matt = 0.5(24) + 6 = 12 + 6 = 18 years

5 0

3 years ago

What is the range of the relation?

zavuch27 [327]

So the right answer is of option D.

Look at the attached picture..

Additional Information:

The second components of a relation is called range 

Hope it will be helpful to you. .

5 0

4 years ago

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……………….pls and thx——————-

Kruka [31]

Answer:

14 yards shorter

Step-by-step explanation:

Use Pythagoras' Theorem

a²+b²=c²

16²+63²=4225

√4225= 65yd

The diagonal line (c) is 65 yards long

16 + 63 = 79 yd

It would be 14 yards shorter (79-65)

5 0

3 years ago

Find the volume of the cone. Round your answer to the nearest tenth. 13 ft 10 ft

Jlenok [28]

Answer:

340

Step-by-step explanation:

340.33 and rounfing off whole number is 340

5 0

3 years ago

There are 4 different methods you could use to solve a quadratic equation that would depending upon the actual equation. They ar

lana66690 [7]

Answer:

Part A: x^2 + 6x + 8 = 0 use the factoring the equation method

Part A: x^2 + 6x + 8 = 0 use the quadratic formula

Step-by-step explanation:

Part A;

The equation is x^2 + 6x + 8 = 0 , looking at this quadratic expression, you notice it is written in a quadratic equation standard form of ax^2+bx+c=0. Additionally, you notice that can find what multiplied to get the quadratic equation,factor.You can identify two numbers that multiply to get ac and add to give b.In this question;

a=1,b=6,c=8

ac=8

The numbers are 4 and 2. Factoring the equation method will give;

x²+6x+8=0

x²+4x+2x+8=0

x(x+4)+2(x+4)=0

(x+2)+(x+4)=x²+6x+8

x+2=0, x=-2 and x+4=0, x=-4

Part B

The quadratic equation is ;

x²+6x-11=0

You notice that there are no factors that multiply direct to get the quadratic equation like in part 1. When you observe, a=1, b=6 and c=-11

ac=1×-11=-11 and b=6 .You notice there are no factors that multiply to give -11 and add to get 6, hence the factorizing the equation method can not be used.However, you can apply the quadratic formula that requires coefficients. You have a=1, b=c and c=-11 as the coefficients to use in the quadratic formula.

8 0

3 years ago

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