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Vedmedyk [2.9K]

2 years ago

15

Lamar pays 15.60 for a pack of 6 towels. Find the unit price in dollars per towel. If necessary, round your answer to the neares

t cent.

1 answer:

soldi70 [24.7K]2 years ago

7 0

Divide total price by quantity:

15.60 / 6 = 2.60

Unit price = $2.60

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Would you rather buy one 8-lb container of ice cream for $24.56, or two 3-lb 11-oz containers of ice cream for $23.60?

krok68 [10]

Answer:3-lb 11-oz containers of ice cream for $23.60

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six

kherson [118]

Answer:

x = 0.53 cm

Maximum volume = 1.75 cm³

Step-by-step explanation:

Refer to the attached diagram:

The volume of the box is given by

$V = Length \times Width \times Height \\\\$

Let x denote the length of the sides of the square as shown in the diagram.

The width of the shaded region is given by

$Width = 3 - 2x \\\\$

The length of the shaded region is given by

$Length = \frac{1}{2} (5 - 3x) \\\\$

So, the volume of the box becomes,

$V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\$

In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.

$\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\$

We are left with a quadratic equation.

We may solve the quadratic equation using quadratic formula.

The quadratic formula is given by

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where

$a = 18 \\\\b = -38 \\\\c = 15 \\\\$

$x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\$

Volume of the box at x= 1.59:

$V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\$

Volume of the box at x= 0.53:

$V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3$

The volume of the box is maximized when x = 0.53 cm

Therefore,

x = 0.53 cm

Maximum volume = 1.75 cm³

7 0

3 years ago

What is 12 3/5 divided 2 1/10?

raketka [301]

Answer:

The answer is six

Step-by-step explanation:

12 3/5 = 63/5

2 1/10 = 21/10

63/5 divided by 21/10 is equal to 63/5 multiplied by 10/21 which is equal to 630/105 = 6 <-- answer

7 0

3 years ago

Can I get help please

WITCHER [35]

Answer:

sorry you cant get help but you can help me!

GO TO MY PAGE

Step-by-step explanation:

8 0

3 years ago

4 3/4 minus 5/8 in simplest form

siniylev [52]

$4\frac{3}{4}-\frac{5}{8}\\\\\frac{(4*4)+3}{4}-\frac{5}{8}\\\\\frac{19}{4}-\frac{5}{8}\\\\\frac{19}{4}(\frac{2}{2})-\frac{5}{8}\\\\\frac{38}{8}-\frac{5}{8}\\\\\frac{38-5}{8}\\\\\frac{33}{8}\\\\\\4\frac{1}{8}$

4 0

3 years ago