You downloaded a video game to your computer. You have a 606060-minute free trial of the game. It takes 5\dfrac{1}{6}5 6
1
​
5, start fraction, 1, divided by, 6, end fraction minutes to set up the game and 7\dfrac{1}{3}7
3
1
​
7, start fraction, 1, divided by, 3, end fraction minutes to play each level. You want to find out how many levels you can play for free.
Which inequality describes the number of levels, \ellℓell, you can play in 606060 minutes?
Choose 1
Choose 1

(Choice A)
A
5\dfrac{1}{6}+\left(7\dfrac{1}{3}\r ight)\ell\ge 605
6
1
​
+(7
3
1
​
)ℓ≥605, start fraction, 1, divided by, 6, end fraction, plus, left parenthesis, 7, start fraction, 1, divided by, 3, end fraction, right parenthesis, ell, is greater than or equal to, 60

(Choice B, Checked)
B
5\dfrac{1}{6}+\left(7\dfrac{1}{3}\r ight)\ell\le 605
6
1
​
+(7
3
1
​
)ℓ≤605, start fraction, 1, divided by, 6, end fraction, plus, left parenthesis, 7, start fraction, 1, divided by, 3, end fraction, right parenthesis, ell, is less than or equal to, 60

(Choice C)
C
\left(7\dfrac{1}{3}\right)\ell-5\df rac{1}{6}\ge 60(7
3
1
​
)ℓ−5
6
1
​
≥60left parenthesis, 7, start fraction, 1, divided by, 3, end fraction, right parenthesis, ell, minus, 5, start fraction, 1, divided by, 6, end fraction, is greater than or equal to, 60

(Choice D)
D
\left(7\dfrac{1}{3}\right)\ell-5\df rac{1}{6}\le 60(7
3
1
​
)ℓ−5
6
1
​
≤60left parenthesis, 7, start fraction, 1, divided by, 3, end fraction, right parenthesis, ell, minus, 5, start fraction, 1, divided by, 6, end fraction, is less than or equal to, 60
Can you play 666 levels during your free trial?
Choose 1
Choose 1

(Choice A)
A
Yes

(Choice B)
B
No

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

i need a picure

step-by-step explanation:

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