MATHEMATICS MIDDLE SCHOOL

The distance traveled by a car at a constant rate is proportional to the time spent driving. In the equation d = 45t, d represents the distance (in miles) and t represents the time (in hours).A. What is the constant of proportionality? _____ miles per hour

B. How far will a car travel in 3 hours? _______ miles

Answers

Answer 1
Answer:

Answer: A. 45 miles per hour

B. 135 miles


Step-by-step explanation:

Given: The distance traveled by a car at a constant rate is proportional to the time spent driving.

In the equation d=45t, d represents the distance (in miles) and t represents the time (in hours).

\Rightarrow(d)/(t)=45\text{ miles per hour}

⇒ The constant of proportionality=45 miles per hour.

Also, the distance traveled by car in 1 hour=45 miles

⇒ The distance traveled by car in 3 hours=3*45=135\text{ miles}

∴ A car will travel 135 hours in 3 hours.
Answer 2
Answer: It looks like the car is traveling 45mph so 
A= 45 miles per hour
B: 45x3=135
B=135

Related Questions

13,000 Ml equal how any Liters. 4,000mL equal how Liters. 8 liters equal how many mL
4.5 , 3.25 , 2 , 0.75 next three terms
A rectangular shoebox has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How long is the shoe box?
If one term of a proportion is not known, what can be used to find the value of that term? a. substitution c. cross-multiplication b. graphing d. adding all the numbers together
Danika has saved enough money to pay cash for a used car. She wants to buy a car that costs five thousand five hundred dollars before taxes. If she will be charged six percent sales tax, what is the total amount she will pay for the car?five thousand one hundred seventy dollars five thousand eight hundred thirty dollars five thousand eight hundred fifty-one dollars six thousand one hundred dollars

Evaluate a2+ab-b2+5 when a=2 and b=3

Answers

a^2+ab-b^2+5\n\nsubstitue\ a=2\ and\ b=3:\n\n2^2+2\cdot3-3^2+5=4+6-9+5=6
Just plug in your valuables a=2 and b=3
Answer: 6

What is 180% as a fraction or mixed number in simplest form?

Answers

Well % is always over 100. So 180/100 cross out the zeroes at the end. 18/10
18 dived by 10 so 1 and 8/10.
Simplest form: 1 4/5
Hope this helped.

What is 4 divided by -6 as a fraction

Answers

Answer:-3/2

Step-by-step explanation:

Sorry if it’s wrong

Suppose an investor builds a stock portfolio with a variety of shares in various high tech companies. The value of the stock portfolio is modeled by the function y = 2x^2 - 20x + 100, where y is the value of the portfolio in hundreds of dollars, and x is the time in months. a) Find the x-coordinate of the vertex. Show all work leading to your answer and write the answer in simplest form.

b) Find the y-coordinate of the vertex. Show all work leading to your answer and write the answer in simplest form.

c) What does the vertex represent for this situation? Write 1 - 2 sentences to explain your answer.

Answers

Answer:

Step-by-step explanation:

We can find the vertex either by completing the square or taking advantage of the simple formula x = -b / (2a), which provides the x-coordinate of the vertex.

Here a = 2, b = -20 and c = 100.  Then the x-coordinate of the vertex is at

x = -(-20) / (2*2), or x = 5.

Next, evaluate y = 2x^2 - 20x + 100 to find the y-coordinate of the vertex.  It is y(5) = 2(5^2) - 20(5) + 100, or y(5) = 50 - 100 + 100, or 50.  y = 50.

The vertex is at (5, 50).  This states that the stock reaches its minimum value, $50 per share), after 5 months.  From that time on, the stock appreciates (increases) in value.

Find the mode of the following data: 18, 17, 12, 14, 8, 21, 10, 11, 19, 20, 10, 5, 17, 12, 10, 20

Answers

The mode is the number that appears most in a set of numbers.

Put the set in numerical order, from least to greatest.

5, 8, 10, 10, 10, 11, 12, 12, 14, 17, 17,18, 19, 20, 20, 21

5 - |

8 - |

10 - |||

11 - |

12 - ||

14 - |

17 - ||

18 - |

19 - |

20 - ||

21 - |

There are three 10s, whereas there's only two or less sets of all the other numbers.

Answer:

The mode of the data set is 10.

Find the sum. write each mixed number in simplest form 4 7/8 + 5 1/4

Answers

(4 + 5) and (7/8 + 2/8) = 9 9/8 = 10 1/8.

Answer:

The answer is 10 1/8
Other Questions
Which symbol gives you more information about two numerical expressions
A health research fund drive has raised 18,700. That is 22%of the goal. What is the goal?
The distributive property combines blank and blank to make multiplying whole numbers simpler.
Please help. thank you so much