Joe is preparing 18 hot dogs for his party. However, Joe only has 12 hot dog buns. How many more hot dog buns does Joe need?

2 answers:

8 0

Answer:
Joe needs 6 more hot dog buns.

Explanation:
Since Joe's starting amount of hot dogs is 18, we know he will need that many buns.

Since he currently has 12, we can subtract that number from the total amount he needs.

Amount he need - Amount he had = Amount more he needs to buy.
18 - 12 = Amount more he needs to buy.
6 = Amount more he needs to buy.

Korvikt [17]3 years ago

5 0

Answer:

6 hot dog buns

Step-by-step explanation:

Total number of hot dog buns required by Joe = 18

Total number of hot dog buns with Joe at present = 12

Thus, Joe has lesser number of hot dog buns as required.

The number of hot dog buns required over and above 12 hot dog buns

= Hot dog buns required - Number of hot dog buns with Joe at present

=18 -12

= 6

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12 (x+1/6) = 8 20 points

Aliun [14]

Answer:

12x + 2

Step-by-step explanation:

12 is multiplyed by both the x and the (1/6) since it is outside the equation.

so 12 times x = 12x since we dont know what x is

and 12 times (1/6) = (12/6) = 2

7 0

3 years ago

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$