P=2h enter the profit in dollars for each hot dog

In a direct variation equation, f(x)=6 when x = 4. What is the direct variation equation?

jeyben [28]

Answer:

$f(x) = \dfrac{3}{2}x$

Step-by-step explanation:

The general direct variation equation is

y = kx

Plug in x = 4 and y = 6 and solve for k.

6 = k * 4

4k = 6

k = 6/4 = 3/2

$f(x) = \dfrac{3}{2}x$

7 0

4 years ago

URGENT please help!!! I need a explanation please!! You own a restaurant and can reopen as long as people seated at a table are

hram777 [196]

Answer:

1) Maximum number of tables that can be kept in the dinning room is 10 tables

2)The maximum number of customers, given 6 people per table is 60 customers

Step-by-step explanation:

The parameters given are;

Distance between people seated at different tables = 6 ft

Dimension of table = 2 m by 1.5 m

Number of people at a table = 6 people

Dimension of dinning;

Width = 12 m

Length = 20 m

Dimension of entrance;

Width = 20/21*30 m

Length = 10 m

With 6 meters between tables and a table with of 1.5, we have for the arrangement in the question;

3 tables = 4.5 m

Distance between = 2 × 6 = 12

4.5 + 12 = 16 m (More room required)

With two tables, we have;

Width of tables = 2×1.5 = 3 m

Distance between = 6 m

Dining room width required = 3 + 6 = 9 m

Therefore, the maximum tables in each row = 2

Given that the dining room area extends to the entrance area, total length = 30 m.

With 4 tables we have;

Length = 4 × 2 + 6 × 3 = 26

While on the entrance side of the dinning room area which is 20 m, we have 3 tables;

Length = 3 × 2 + 6 × 2 = 18

Therefore, both arrangements are acceptable;

Just on entering by the right the length = 20/21×30 m

Therefore, with 3 tables will required number due to proximity wit the door and tables arranged along the right wall of the dinning

1) Maximum number of tables that can be kept in the dinning room = 4 + 3 + 3 = 10 tables

2)The maximum number of customers, given 6 people per table = 6×10 = 60 customers.

4 0

3 years ago

A box contains 3 red pencils, 4 blue pencils, 2 green pencils, and 1 regular pencil.

raketka [301]

Answer:

100

Step-by-step explanation:

add all the number together 3 + 4 + 2 +1=10

250/10=25

then times 25 with the 4 number at the top

25 times 4 =100

so there is 100 blue pencils

8 0

3 years ago

23. The pilot of a small private plane can look forward and see the control tower for a small airstrip.

Alex73 [517]

Answer:

Altitude of the plane is 0.5 miles.

Step-by-step explanation:

From the figure attached,

An airplane A is at height h miles observes a small airstrip at D and a factory at F, 4.8 miles apart from D.

Angle of depressions for the airstrip is 13.1° and the factory is 4.1°.

We have to calculate the airplane's altitude h.

From ΔABF,

tan4.1 = $\frac{AB}{BF}=\frac{h}{(x+4.8)}$

h = 0.07168(x + 4.8) -----(1)

From ΔABD,

tan13.1 = $\frac{h}{x}$

h = 0.2327x -----(2)

From equation (1) and (2),

0.07168(x + 4.8) = 0.2327x

0.2327x - 0.07168x = 4.8×0.07168

0.161x = 0.344

x = $\frac{0.344}{0.161}=2.14$ miles

From equation (2),

h = 0.2327×2.137

h = 0.4972 miles

h ≈ 0.5 miles

Therefore, 0.5 miles is the altitude of the plane.

6 0

3 years ago

Geometry question any help is appreciated!!

sladkih [1.3K]

Radius is the distance between the center and any point on the circle.
r=distance =√((x2-x1)² +(y2-y1)²) =√((5-(-3))²+(-7-(-1))²)=√(64+36)=√100 = 10
r=√100

Equation of the circle , where (h, k) coordinates of the center of the radius.
(h,k)=(5,-7)
(x-h)² +(y-k)² = r²
(x-5)² +(y+7)² = (√100)²
(x-5)² +(y+7)² = 100

4 0

3 years ago