1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
JulijaS [17]
3 years ago
10

this is Algebra 1-2-- how to you find r, the rate of change, when all you know is the third term is 120 and the fith term is 76.

8
Mathematics
1 answer:
olga55 [171]3 years ago
5 0
Because you know that the third term is 120, it can be represented as (3,120) and since you know the fifth term is 76.8, you can represent that as (5,76.8). Now that we have this, you can use your slope formula, y2-y1/x2-x1 which finds the rate of change. When you plug in the values, you should have something like this: 76.8-120/5-3
When you simplify, you should get -43.2/2 which would simplify to -21.6, or your rate of change. 
You might be interested in
50 POINTS!
Furkat [3]

Answer:

1.

a) 357 inches³ of water more would be required to fill the tank

b) Riley is not correct, the volume of the larger aquarium is 27

   times larger than the volume of the smaller on

c) Riley is not correct, the surface area of the larger aquarium is 9

   times the surface area of the smaller one

2.

a) There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) The surface area of the shipping box is 567 inches²

Step-by-step explanation:

1.

a) * Lets study the first aquarium:

- The formula for volume is V = l × w × h

∴ It is a rectangular box of dimensions 16 in , 8.5 in , 10.5 in

∴ Its volume = 16 × 8.5 × 10.5 = 1428 inches³

* The full capacity of this aquarium is 1428 inches³

- Riley noticed that it 3/4 full of water, then still can fill with

 1/4 to be full

- Why 1/4 because 1 - 3/4 = 1/4

∴ The volume of 1/4 the aquarium = 1/4 × 1428 = 357 inches³

* There are 357 inches³ of water more would be required to fill the tank

b) * Lets talk about the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their volumes will be (3 : 1)³

- Because we will multiply each dimension by 3 and they

  are 3 dimensions, that means 3 × 3 × 3 ⇒ 3³

∴ The ratio between their volumes = 27 : 1

∴ Riley is not correct because the volume of the larger aquarium is 27

   times larger than the volume of the smaller aquarium

c) * Similar for the surface area of the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their surface area will be (3 : 1)²

- Because we will multiply each dimension by 3 and to get the

 surface area we multiply each two dimensions for the six faces

 and then add them

∴ The ratio between their surface area = 9 : 1

∴ Riley is not correct because the surface area of the larger aquarium

  is 9 times larger than the surface area of the smaller aquarium

2.

a) * Lets think about this situation

- We want to fill some office supplies boxes of side length

 4.5 inches inside the shipping box of dimensions 18 in , 9 in , 4.5 in

- That means the volume of the shipping box is how many times

 the volume of the office supplies box

∴ The number of office supplies boxes = the volume of shipping box ÷ the volume of the office supplies box

∵ the volume of shipping box = 18 × 9 × 4.5 = 729 inches³

∵ the volume of the office supplies box = 4.5 × 4.5 × 4.5 = 91.125 inches³

∴ The number of office supplies boxes = 729 ÷ 91.125 = 8 boxes

* There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) Look to the Net of the shipping box

- The net has 6 faces shaped rectangles

- Each two faces are congruent

- To find the surface area we will add all the areas of the 6 faces

- Two faces with dimensions 18 in and 9 in

∴ Their areas = 2 (18 × 9) = 324 inches²

- Two faces with dimensions 18 in and 4.5 in

∴ Their areas = 2 (18 × 4.5) = 162 inches²

- Two faces with dimensions 4.5 in and 9 in

∴ Their areas = 2 (4.5 × 9) = 81 inches²

∴ The total surface area = 324 + 162 + 81 = 567 inches²

* The surface area of the shipping box is 567 inches²

3 0
3 years ago
What is the capacity of a building
dusya [7]
The capacity of a building is 222,500 tons
4 0
3 years ago
Read 2 more answers
Pls help I need this assignment done please
Gre4nikov [31]

Answer:

idk how to answer and i cant see the pdf

Step-by-step explanation:

3 0
3 years ago
Pre-Calc, please help! Will give brainliest!
Rus_ich [418]

Answer:

Idk

Step-by-step explanation:

8 0
3 years ago
Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π
schepotkina [342]

Answer:

Answer = 3053.63

Step-by-step explanation:

The formula for finding the volume of a sphere is : V = 4/3 πr³

V = 4/3· π · 9^{3}

≈ 3053. 62806

Rounded to the hundreths place is 3053.63.

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the lower quartile of the following set?
    10·2 answers
  • Can someone PLEASE help me solve these last 2 problems so I can be done with this math class....really stumped on these 2....
    15·1 answer
  • Three times the measure of an angle is 14 less than the measure of its complement. what's the measure of the angle?
    14·1 answer
  • Tom earned £173 last week and he worked for 25hours. how much does he earn per hour
    14·1 answer
  • WILL GIVE BRAINLIEST
    7·1 answer
  • Calculate the % loss<br>1.cost price of an article =$28<br>2.selling price of an article=$21<br>​
    5·1 answer
  • Give a verbal description of the universal set for each of the following
    9·1 answer
  • You go to Ihop and order two servings of pancakes and a
    5·2 answers
  • Help meez 40 pts use surface area formula of cylinder that is for Lateral surface area and for total surface area
    10·1 answer
  • The administrator of a county's museum is considering increasing the price of an annual pass by 1% from $55 to $55.55. At the cu
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!