On a distance-time graph,a horizontal straight line corresponds to motion at _

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

Multiple choice! please show how u got the answer

mafiozo [28]

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The only order pairs among the given options that represent a function is :

(9 , -3) , (9 , -1) , (9 , -1)

Because : To be a function, every element of domain (x) can have only one unique value y, and if we get more than two values of y for same x, it isn't a function at all.

5 0

2 years ago

the axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?

FinnZ [79.3K]

ANSWER

The other zero is

$x = - 10$

EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.

We were given that the axis of symmetry of the quadratic equation is
$x = - 3$

We were also given that, one of the zeroes of the quadratic equation is
$x = 4$

Let the other zero of the quadratic equation be
$x = p$

,then, we apply the midpoint formula to find the value of
$p$

Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,

$\frac{x_1 + x_2}{2} = axis \: of \: symmetry$

We substitute to obtain,

$\frac{p + 4}{2} = - 3$

We multiply through by 2 to get,

$p + 4 = - 6$

This implies that,

$p = - 6 - 4$

$p = - 10$

3 0

3 years ago

Read 2 more answers

The circumference of a circle is 15π ft. What is the area, in square feet? Express your answer in terms of π.

DerKrebs [107]

Answer:

Area of the circle is 56.25π square feet.

Step-by-step explanation:

Given that:

The circumference of a circle is 15π ft.

To Find:

What is the area, in square feet?

We know that:

Circumference of a circle = 2πR
Area of a circle = πR²

Where,

Radius is denoted as R.

Finding the radius of the circle:

Circumference of a circle = 15π

⟶ 2πR = 15π

⟶ 2πR = 2π × 7.5

Cancelling 2π.

⟶ R = 7.5

∴ Radius of the circle = 7.5 ft.

Finding the area of the circle:

⟶ Area = πR²

⟶ Area = π(7.5)²

⟶ Area = π × 7.5 × 7.5

⟶ Area = π × 56.25

⟶ Area = 56.25π

∴ Area of the circle = 56.25π ft.²

7 0

4 years ago

Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to

djverab [1.8K]

This question is not complete, the complete question is;

Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. Round your answers to two decimal places.

a. If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations

b. If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?

Answer:

a) 0.04

b) 0.69

Step-by-step explanation:

Given that

P ( No response ) = 5% = 0.05

P ( Short of expectation ) = 26 = 0.26

P ( Met expectation ) = 65% = 0.65

a) the probability that the alumnus would say their experience surpassed expectations

P ( surpassed expectations) = 1 - (P(No resp )+P( Short of exp)+ P( Met exp))

= 1 - (0.05 + 0.26 + 0.65 )

= 1 - 0.96

= 0.04

b) the probability that the alumnus would say their experience met or surpassed expectations.

the probability that experience met or surpassed expectations is;

= P (met exp) + P ( surpassed exp)

= 0.65 + 0.04

= 0.69

5 0

3 years ago

On a distance-time graph,a horizontal straight line corresponds to motion at __+​

On a distance-time graph,a horizontal straight line corresponds to motion at __+