Answer:
The answer is below
Step-by-step explanation:
The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.
Firstly we have to convert the model length and width from inches to feet.
1 feet = 12 inches
model length = 1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.
model width = 1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.
Therefore:
Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8
Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8
Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²
Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²
Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64
Answer:
2 dozens, $41
Step-by-step explanation:
Given data
Man Street Florist charges
$18 for a dozen roses and a
$5 delivery fee
let the number of dozens be x
and the total charge for x dozens be y
hence
y= 18x+5--------------1
Blooms and Bouquets
charges $20 for a
dozen roses and a $1
delivery fee.
let the number of dozens be x
and the total charge for x dozens be y
hence
y= 20x+1 -------------2
Equate 1 and 2 we have
18x+5=20x+1
20x-18x= 5-1
2x= 4
x= 4/2
x= 2
Hence the number of dozens is 2
the cost is (put x= 2 in eqn 1 or 2)
y= 20(2)+1
y= 40+1
y= $41
F(x)=-1x-1
1) Pick 2 points on the line (i chose (-4,3) and (3,-4)
2) Find slope of the line using the 2 points. (work below)
3) Find y-intercept, which is the point where y-axis and the line cross (y-intercept is -1).
4) Place both slope and y-intercept into slope-intercept form, y=mx+b (m=slope and b=y-intercept.)
5) Change y to f(x) (meaning function of x).
Work:
3-(-4)/-4-3=3+4/-4-3=7/-7=-1
y-intercept equals -1 also.
y=mx+b
y=-1x+(-1)
y=-1x-1
f(x)=-1x-1<---Answer
I think the two numbers are four and three. Hope this helps.