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3 years ago

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If 7.5% of pizza orders in gotham are for hawaiian pizzas, and you know that there are 100 pizza restaurants in gotham, what can

you determine about the number of gotham restaurants that have hawaiian pizzas on their menus?

2 answers:

diamong [38]3 years ago

7 0

Answer – 7.5 (OR approximately 8, if 7.5 is not in the options)

WORKINGS

Given,
There are 100 pizza restaurants in Gotham
7.5 percent of pizza orders in Gotham are for Hawaiian pizzas.

The number of Gotham restaurants that have Hawaiian pizzas on their
menus = 7.5 percent of 100
= 7.5/100 X 100
= 7.5 restaurants

Therefore, 7.5 Gotham restaurants that have Hawaiian pizzas on their menus.

However, since the number of restaurants is integer, we can say that approximately 8 restaurants have Hawaiian pizza on their menus.

LUCKY_DIMON [66]3 years ago

6 0

Answer: There are approximately 8 restaurants that have hawaiian pizzas on their menus.

Step-by-step explanation:

Total number of pizzas restaurants in Gotham = 100

Percent of pizza orders in Gotham are for hawaiian pizzas = 7.5

Number of Gotham restaurants that have hawaiian pizzas on their menus is given by

$7.5\%\text{ of} 100\\\\=\frac{7.5}{100}\times 100\\\\=7.5$

So, there are approximately 8 restaurants in Gotham that have hawaiian pizzas on their menus.

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The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an are

Sveta_85 [38]

Answer:

$\huge\boxed{1000 \ \text{cm}^3}$

Step-by-step explanation:

There are two ways we can solve this equation.

<h2>A) Using the formula provided</h2>

The formula provided states that the volume of a cube based on the area of one of it's faces will be $a^{\frac{3}{2}}$ , a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

$100^{\frac{3}{2}}$

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - $100^{\frac{3}{2}}$ becomes $\sqrt{100^3}$

$100^3=1000000$

$\sqrt{1000000}=1000$

Therefore, the volume of this cube will be $1000 \ \text{cm}^3$

<h2>B) Using prior knowledge about cubes</h2>

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be $s^2$ , where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is $s^3$ .

Since we know that one face is 100, we can make an equation - $s^2=100$

$\sqrt{s^2}=\sqrt{100}$
$s=10$

Now that we know the value of s, we can plug it into the volume formula, $s^3$ .

$10^3$
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$1000$

So the volume is $1000 \ \text{cm}^3$ .

Hope this helped!

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3 years ago

A 42-inch piece of steel is cut into 3 pieces so that the 2nd piece is twice as long as the 1st piece, and the 3rd piece is 2 in

Galina-37 [17]

Answer:

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

Step-by-step explanation:

A 42-inch piece of steel is cut into 3 pieces

Let the lengths be represented as:

1st piece = Piece A

2nd piece = Piece B

Third Piece = Piece C

Hence:

A + B + C = 42

The 2nd piece is twice as long as the 1st piece

B = 2A

The 3rd piece is 2 inches more than 5 times the length of the first piece.

C = 5A + 2

Hence: we substitute

A + B + C = 42 inches

A + 2A + 5A + 2 = 42 inches

8A = 42 - 2

8A = 40 inches

A = 40 inches/8

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B = 2A

B = 2 × 5 inches

B = 10 inches

Solving for C

C = 5A + 2

C = 5 × 5 + 2

C = 25 + 2

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1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

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3 years ago

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Cost price:-

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$\\ \sf\longmapsto \dfrac{123}{7}$

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2 years ago