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
Maru [420]
3 years ago
14

In the​ 1970s, due to world​ events, there was a gasoline shortage in the United States. There were often long lines of cars wai

ting at gas stations.
Part​ A: If there were 62 cars in a line that stretched 567 ​feet, what is the average car​ length? Assume that the cars are lined up​ bumper-to-bumper. Round your answer to the nearest tenth of a foot.
Part​ B: How long would the line be if it contained​ 1,000 cars

What is the Average car length in feet?
Mathematics
1 answer:
barxatty [35]3 years ago
7 0

Answer:

Part A: The average car length is 9.1 feet to the nearest tenth foot

Part B: The line would be 9100 feet to contained 1000 cars

Step-by-step explanation:

* Lets explain how to solve the problem

# Part A:

- There were 62 cars in a line that stretched 567 feet

- The cars are lined up bumper-to-bumper

- That means there is no empty spaces between the cars

* To find the average length of the car we will divide the length of

  the line by the numbers of the cars

∵ The average car length = length of the line/number of cars

∵ The length of the line is 567 feet

∵ The numbers of the cars is 62 cars

∴ The average car length = 567/62 = 9.1 feet

* The average car length is 9.1 feet to the nearest tenth foot

# Part B:

- There are 1000 cars

- We need to find the length of line which contained the cars

∵ The average car length = length of the line/number of cars

∵ The average of car length is 9.1 feet

∵ The number of the cars is 1000 cars

∴ 9.1 = length of the line/1000

- Multiply both sides by 1000

∴ The length of the line = 9.1 × 1000 = 9100 feet

∴ The line would be 9100 feet to contained 1000 cars

You might be interested in
 In a​ company, 80​% of the workers are women. If 480 men work for the​ company, how many workers are there in​ all? Use pencil
nekit [7.7K]

Answer:

The total workers are<u> 2400.</u>

Step-by-step explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

<u><em>In first way:</em></u>

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be x.

According to question:

20\%\ of \ x=480

⇒\frac{20}{100} \times x=480

⇒0.20\times x=480

⇒0.20x=480

Dividing both sides by 0.20 we get:

⇒x=2400.

Total workers = 2400.

<em><u>Now, in second way</u></em>.

Again, let the total workers be  x.

According to question:

x-80\%\ of\ x=480

⇒x-\frac{80}{100}\times x=480

<em>On solving:</em>

⇒x-0.80x=480

⇒0.20x=480

<em>Dividing both sides by 0.20 we get:</em>

⇒x=2400.

<em>Total workers = 2400.</em>

Therefore, the total workers are <u>2400</u>.

7 0
3 years ago
find the local and/or absolute extrema for the function over the specified domain. (Order your answers from smallest to largest
Arlecino [84]

Answer:

Minimum 8 at x=0, Maximum value: 24 at x=4

Step-by-step explanation:

Retrieving data from the original question:

f(x)=x^{2}+8\:over\:[-1,4]

1) Calculating the first derivative

f'(x)=2x

2) Now, let's work to find the critical points

Set this

2x=0\\x=0    

0, belongs to the interval. Plug it in the original function

f(0)=(0)^2+8\\f(0)=8

3)  Making a table x, f(x) then compare

x|  f(x)

-1 | f(-1)=9  

0 | f(0)=8   Minimum

4 | f(4)=24 Maximum

4) The absolute maximum value is 24 at x=4 and the absolute minimum value is 8 at x=0.    

5 0
3 years ago
Complete the proof by providing the missing statement and reasons
Lisa [10]

Answer:

In triangle SHD and triangle STD.

\overline{SD} \perp \overline{HT}          [Side]

Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.

⇒ \angle SDH = \angle SDT = 90^{\circ}

\overline{SH} \cong \overline{ST}       [leg]               [Given]

Reflexive property states that the value is equal to itself.

\overline{SD} \cong \overline{SD}       [Leg]       [Reflexive property]

HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.


then, by HL theorem;

\triangle SHD \cong \triangle STD                       Proved!



6 0
3 years ago
Evaluate the polynomial when x = 3 and y = - 8<br>x2 + y2 + xy<br>​
Ivahew [28]
<h3>Answer: 49</h3>

Work Shown:

Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.

x^2 + y^2 + x*y

3^2 + (-8)^2 + 3*(-8)

9 + 64 - 24

73 - 24

49

5 0
2 years ago
Read 2 more answers
Solve the inequality/<br> 3p - 2.5 &lt; 6.5
victus00 [196]
The solution is p < 3 ☺️
8 0
3 years ago
Other questions:
  • If 150 students ware red and 250 students dont. what percentage of students wore red​
    6·1 answer
  • How do i write 12.009 in a word form?
    13·1 answer
  • Is the following relation a function?
    6·1 answer
  • What is 9.22 x 10^3 In standard form
    10·2 answers
  • Is that rational or irrational
    8·1 answer
  • How to draw a line that passrs through the origion and has a slope of 2/3?
    10·1 answer
  • Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs
    9·1 answer
  • 1. What is greater? 6 pounds and 11 ounces OR 117 ounces? 2. 3/4 tons = how many pounds? (Answer the ones u know!) pls help due
    5·1 answer
  • In prima zi de la lansarea noii cartii a scriitorului preferat al Elizei s-au vandut 24 de volume adica 6 _ 7
    5·1 answer
  • What is the slope of (-2, -1) and (-5, -9)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!