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
sveticcg [70]
2 years ago
12

A set of kitchen containers can be stacked to save space. The height of the stack is given by the expression LaTeX: 1.5c+7.61.5

c + 7.6 where c is the number of containers. What is the height of a stack made of 8 containers?____ cm A tower made of all the containers is 40.6 cm tall. How many containers are in the set?______ containers Noah looks at the equation and says, "7.6 must be the height of a single container." Do you agree with Noah? Explain your reasoning.
Mathematics
1 answer:
Nuetrik [128]2 years ago
4 0

Answer:

Part A

The height of the stack made of 8 containers is 19.6 cm

Part B

When the tower is 40.6 cm tall, the number of containers in the set are 22 containers

Part C

(Disagree) The height of a single container is 9.1

Step-by-step explanation:

The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers

The given expression that gives the height of the stack is presented as follows;

1.5·c + 7.6

Where;

c = The number of containers in the stack

Part A

When there are 8 containers, we have;

h(8) = 1.5 × 8 + 7.6 = 19.6

The height of the stack made of 8 containers, h(8) = 19.6 cm

Part B

When the tower (height of the stack set) is 40.6 cm tall, we have;

h(c) = 1.5·c + 7.6 = 40.6

∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22

When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers

Part C

Given that the height stack increases only by the thickness of the wider rim of each added container, we have;

The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c

The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5

The number of containers (The independent variable, x) = The number of stacked rims = c

The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1

Therefore, the height of a single container = 9.1 not 7.6

You might be interested in
<img src="https://tex.z-dn.net/?f=2%20-%206%20%5Cdiv%206" id="TexFormula1" title="2 - 6 \div 6" alt="2 - 6 \div 6" align="absmid
Karolina [17]

2 - 6 ÷ 6 (Order of Operations - PEMDAS)

= 2 - 1

= 1

Answer is 1

7 0
3 years ago
What is the name for numbers that are greater than zero
grigory [225]

Those are positive numbers.

Those that are less than zero are called negative numbers.

Zero itself can be considered both, or neither.

3 0
3 years ago
B is the midpoint of AC. If AB= X +5 and BC = 2X -11, find the measure of AB
Murljashka [212]
First, you know that B is the mid point, meaning AB is equal to BC. Therefore, you can set up the equation: x+5=2x-11. Then, you solve for x. Once you are done solving, you should get 16. Hope this helps!
5 0
3 years ago
Read 2 more answers
In ΔRST, the measure of ∠T=90°, the measure of ∠R=82°, and TR = 44 feet. Find the length of ST to the nearest tenth of a foot.
yuradex [85]

Answer: 313.1 feet

Step-by-step explanation:

\tan 82=\frac{x}{44}

tan82=

44

x

​

44\tan 82=x

44tan82=x

x=313.0763\approx \mathbf{313.1}\text{ feet}

x=313.0763≈313.1 feet

4 0
3 years ago
Read 2 more answers
Select the appropriate technique with the problem you are looking for.
Alenkinab [10]

Answer:

A, B, C, D

Step-by-step explanation:

(A) Checking the Equal Variance Assumption, the appropriate technique to use is:

- The ANOVA (Analysis of Variance) F test

- Plot residuals against fitted values

(B) Checking the Normal Assumption, the appropriate techniques to use are:

- Test for Kurtosis & Skewness

- Kolmogorov-Smirnov Test

- Q-Q Plots (the graphical method) also known as Quantile Plot

- Do not use a histogram; it is not advisable

(C) Checking for Model Misspecification, the appropriate techniques to use are:

- The Ramsey Regression Specification Error Test; also called RESET

- The Davidson & MacKinnon J. Test

(D) Checking for dependent errors, the appropriate technique to use is:

- Plot residuals against time variables

6 0
3 years ago
Other questions:
  • You pay .50 cent to draw a card from a deck. if you draw an ace you win ten dollars if you draw a face card(12 in a deck) you wi
    7·1 answer
  • I need help asap please! <br><br> WILL GIVE BRAINLIEST!!!
    13·1 answer
  • free points Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long. How many meters of
    8·1 answer
  • Solve the system of equations below algebraically 2x-3y=8 4x+2y= 10
    11·1 answer
  • Describe a method other than the one used in the example that you could use to find a
    15·2 answers
  • Find the upper 20%of the weight?
    7·1 answer
  • You purchased concentrated cleaner that must be diluted (watered down) before use. Container A is the cleaner, which is a 20% so
    9·1 answer
  • Colby has a square placemat. The area of the
    7·1 answer
  • 2. You are placing mulch in your yard, and you find that pine chips cost $5 per bag, while oak chips cost $2 per bag. You want t
    11·1 answer
  • According to the 2010 census data, the population of Texas was about 25,000,000 people. The land area of Texas is about 260,000
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!