Write an inequality to represent the given situation

Make up a story that can be represented by y=4x

Papessa [141]

Jeff is selling Raspberry Pi cases for $4 dollars. If Jeff sells 5 Raspberry Pi cases, how much will he make off the sale?

8 0

3 years ago

Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

3 years ago

Please solve this geo problem

Sunny_sXe [5.5K]

Step-by-step answer:

The first step in solving a problem of geometry and trigonometry is to draw a diagram, with all the given information in it. The attached image does just that.

Here, we have (horizontal) distance of building to the tower is 400'.

We see two right triangles, each with a leg of 400' (horizontal).

The vertical distances are denoted h1 and h2 for the angles of elevation 24 and 20 degrees respectively.

Using the definition of tangent, we have

h1= 400tan24=178.1

h2=400tan20=145.6

The height of the tower is therefore h1+h2=178.1+145.6=323.7 feet

4 0

3 years ago

of 320 consumers polled, some purchase blu-ray movies, some only purchase movies on dvd, and some do both. if 300 people polled

Helga [31]

Answer:

20 people only buy dvds.

Step-by-step explanation:

There are two groups in this problem. One group of people that buys dvds and one that buys blu rays. The total amount of people who buy blu rays is 300, but there's an intersection between the groups and the size of this is 280 people who actually buy both. In order to find out how many people only buy DVDs we first need to figure out how many only buy blu-rays. That is:

people who only buy blu rays = people who buy blu rays - people who buys blu rays and dvds

people who only buy blu rays = 300 - 280 = 20

We can now calculate the amount of people who only buy dvds and that is:

people who only buy dvds =total amount of people - ( people who only buy blu rays + people who buy both)

people who only buy dvds = 320 - (20 + 280) = 320 - 300 = 20 people