What scale factor was applied to the first rectangle to get the resulting image?

Find the volume of the rectangular prism. Express your answer as a simplified mixed number.

OverLord2011 [107]

Answer:

Volume = = 138⁶/32 cubic meters

Step-by-step explanation:

Given:

Length = 8⅜ m

Width = 2 m

Height = 8¼ m

Required:

Volume as a mixed number

Solution:

Volume of rectangular prism = L*W*H

Plug in the values

V = 8⅜ × 2 × 8¼

Change to improper fraction

V = 67/8 × 2 × 33/4

= (67 × 2 × 33)/(8 × 4)

= 4,422/32

= 138⁶/32 m³

7 0

3 years ago

Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and G = {1, 2, 3, 4, 5, 6, 7}. What is G?

Nesterboy [21]

Your posted question defines G, then asks what G is.
G is the set in the definition you gave.

G = {1, 2, 3, 4, 5, 6, 7}

_____
Perhaps you want to know the complement of G. That is all the elements of U that are not in G.

G' = {8, 9, 10}

3 0

3 years ago

A small pizza at Little Italy pizzeria costs $9.25, and each topping is an additional $0.50. So the cost of ordering a pizza can

Vera_Pavlovna [14]

Answer:

Graph the equation is shown below.

Step-by-step explanation:

The linear equation representing the relation between cost of ordering a pizza and the number of additional toppings is:

$y=0.50x+9.25$

Here,

y = cost of the pizza

x = number of toppings

The graph of the linear equation is shown below.

Consider the point (2, 10.25).

When x = 2 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 2)+9.25\\=10.25$

The point (2, 10.25) satisfies the equation.

Again consider a point (18, 18.25).

When x = 18 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 18)+9.25\\=18.25$

The point (18, 18.25) satisfies the equation.

The two points are also plotted on the graph.

6 0

4 years ago

A university student center sells 1,600 cups of coffee per day at a price of $2.40. a market survey shows that for every $0.05 r

Lena [83]

2.00 would be the best price to maximize revenue in the situation you gave me to answer

5 0

4 years ago

On a baseball team, the ages of each of the players are as follows: 21; 21; 22; 23; 24; 24; 25; 25; 28; 29; 29; 31; 32; 33; 33;

Paul [167]

Answer:

Mean = 30.68

Standard deviation = 6.095

Two standard deviations above the mean = 42.87

Step-by-step explanation:

Given the following data :

21; 21; 22; 23; 24; 24; 25; 25; 28; 29; 29; 31; 32; 33; 33; 34; 35; 36; 36; 36; 36; 38; 38; 38; 40

Mean = Σ(x) / n

n = 25

Σ (X) = 767

Mean (m) = 767 / 25

Mean (m) = 30.68

Standard deviation : sqrt[Σ(x - m) / n]

Using a calculator :

Standard deviation = 6.095 ( 2 decimal places)

2 standard deviations above the mean :

Mean + 2(standard deviation)

Mean + 2(6.095)

30.68 + 12.19

= 42.87

6 0

4 years ago