Question

Need help same math paper but the back now I hope your able to read it cleary I need help with hw

Answer 1

Answers:

4) r = √[V/(πh)]; d ≈ 5 in

5) 1.25x + 2.50y = 25.00 ; 11 combinations

Step-by-step explanation:

4) (a) Formula for radius

V = πr²h     Divide each side by πh

V/(πh) = r²     Take the square root of each side.

r = √[V/(πh)]

(b) Diameter of tuna can

(i) Data:

V = 66 in³

h = 3.3 in

(ii) Calculations

r = √[V/(πh)]

  = √[66/(π × 3.3)]

  = √(20/π)

  = 2√(5/π)

d = 2r

  = 4√(5/π)

  ≈ 5 in

5) Hot dogs and hamburgers

(a) The equation

Let x = the number of hot dogs

and y = the number of hamburgers

Then

1.25x + 250y + 7 × 0.50 = 28.50

     1.25x + 250y + 3.50 = 28.50     Subtract 3.50 from each side

                1.25x + 2.50y = 25.00

(b) Plot the graph

 Let x = 0. Then

2.50y = 25.00     Divide each side by 2.50

       y = 10

Plot a point at (0, 10).

Let y = 0. Then,

1.25x = 25.00     Divide each side by 1.25

       x = 20

Plot a point at (20, 0).

Draw a straight line between the two points.

Your graph should look like the one below.

(c) Hot dog/hamburger combinations

The possible hot dog/hamburger (x/y) combinations are:

0x + 10y, 2x + 9y, 4x + 8y, 6x + 7y, 8x + 6y, 10x + 5y, 12x + 4y, 14x + 3y, 16x + 2y, 18x + 1y, 20x + 0y

Thus, there are 11 different combinations that Zeke and his friends can buy for $28.50.

It works like this, because one hamburger costs $2,50 and a hamburger half as much.

You can replace one hamburger with two hot dogs (or vice versa) and still spend the  same amount of money,.