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
WINSTONCH [101]
3 years ago
14

If a beam can hold 2,000 pounds at 15 feet, what is the safe load if the length of the beam is 10 feet?

Mathematics
2 answers:
denis23 [38]3 years ago
6 0

Answer: The correct answer is 3,000

Komok [63]3 years ago
3 0
Let's see how many pounds can a one foot I-beam handle. If a 15 feet I-beam can handle 2000 pounds, then a one foot I-beam can handle 1/15 of that weight.

2000 * \frac{1}{15} = 133 1/3

So, for every extra foot, it can handle an additional 133 1/3 pounds.

Now we want to find out how many pounds a 10 feet I-beam can handle. 

10 * \frac{400}{3} = 4000/3 or 1333 1/3 pounds

So, a 10 feet I-beam can handle 1333 1/3 pounds.
You might be interested in
The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

8 0
3 years ago
If a soccer team played 160 games and won 65% of them, how many games did they win?
Sindrei [870]
The correct answer is 104 games.

You get that number by dividing 160 with a 100, to find out how large 1% is, and then you multiply it with 65 to find out how much 65% is, and the answer is 104 games.
4 0
3 years ago
How many meters are the<br>Convert 5.2kg to grams.<br>​
Misha Larkins [42]

Answer:

5.2kg = 5,200 grams

Step-by-step explanation:

I hope it helps

6 0
2 years ago
What is the probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator
kirill [66]

Answer:

See explanation

Step-by-step explanation:

Total number of letters = n! = 10

Permutation for 10 letters = n!

                                          = 10!

                                          = 10*9*8*7*6*5*4*3*2*1

                                          = 3628800

From n letters:

Number of A = 2

Number of C = 2

Number of  L = 2

A₁, A₂, C₁, C₂, L₁, L₂, O, R, T, U

Out of 3628800 permutations the word calculator can be spelled as:

C₁ A₁ L₁ C₂ U L₂ A₂ T O R

C₂ A₂ L₂ C₁ U L₁ A₁ T O R

and so on

So total number of different permutations are  

(permutation of number of letters) / permutation of (number of As * number of Cs * number of Ls)

  =  10! / (2! 2! 2 !)  

  = 10*9*8*7*6*5*4*3*2*1 / (2*1) (2*1) (2*1)

  = 3628800 / 2 * 2 * 2

  =  3628800 / 8

  =   453600

Hence probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator" is:

 1 / total number of different permutations  

= 1 / 10! / (2! 2! 2 !)  

= 1/453600

= 0.000002

8 0
3 years ago
Can someone help me with these
vampirchik [111]

Answer: x-intercept is -9

Step-by-step explanation: To find the x intercept y is 0 and to find the y intercept x is 0. 18 divided by -2 is -9, which is the answer

3 0
3 years ago
Other questions:
  • What is the answer to number 2
    12·2 answers
  • An empty box is shaped like a rectangular prism. The box has a base area of `9/10` square foot and a height of `1/3` foot. How m
    12·1 answer
  • What value is needed to complete the square?
    5·1 answer
  • What is the correct answer? ​
    9·1 answer
  • Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as
    9·2 answers
  • F(x) = 3x + x3
    8·1 answer
  • What is the length of the side of a square that has an area of<br> 49 square centimeters
    13·2 answers
  • Can someone help me pls
    9·2 answers
  • A right triangle has one side that is 6 inches
    7·1 answer
  • Find the distance between each pair of points.<br> on graph paper.<br> K = (-21, -29) and L = (0, 0)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!