Abillboard is 2.5 times as long as it is wide. the area of the billboard is 2,250 ft. a scale drawing is made of the billboard, and the area of the scale drawing is 160 in. what is the scale used in the scale drawing? (explain)

1 inch : 14.08 feet

Step-by-step explanation:

First we need to find to find the length and the width of the billboard.

The area of a rectangle is given by A= length x width

Let's call w the width of the billboard ⇒The length of the billboard will be 2.5w

Area = w (2.5w)

2,250 = 2.5w²

2250/2.5 = w²

900 = w²

30 = w

Now, to find the scale in the drawing we are going to use a ratio.

Therefore, the width of the scale drawing is 2.13.

To find the scale used we can use a rule of three:

2.13 inches ------- 30 feet

1 inches --------------  x feet

x = 30/2.13 = 14.08 feet

Therefore, the scale used is 1 inch: 14.08 feet

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18