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
kogti [31]
2 years ago
10

A builder wants to build the bridge whose cross section is shown in the diagram. Two companies offer simple bids on building the

bridge according to the distance b and the number of​ I-beams. If the cross section could be redesigned for cost reasons in terms of​ b, what is the distance b for which the companies would have the same bid on the​ project?
EMPIRE DESIGN
​BUILD-EM-UP CO.
Bid form
Bid form
​ Proposal:
​ Proposal:
​$300,000b
​$320,000b
​ $60,000 per​ I-beam
​ $40,000 per​ I-beam
Mathematics
1 answer:
leva [86]2 years ago
3 0

The length of the bridge is the distance from the beginning to the end.

<em>The distance b between each beam is 9ft.</em>

Let:

<em />I \to<em> I-Beam</em>

<em />d_I \to<em> distance between I beam and the bridge</em>

<em />b \to<em> distance between each I beam</em>

<em />

Given that:

I = \frac 34 ft\\

d_I = 3 ft

<em />Length = 55ft\ 6in<em> --- length of the  bridge</em>

<em />

From the diagram (see attachment), there are: 6 I-beams.

So, the length of the 6 I-beams is:

L_1 = 6 \times I

L_1 = 6 \times \frac 34

L_1 = \frac {18}4

L_1 = 4.5ft

There are 2 I-beams beside the bridge

So, the distance between the 2 I-beams and the bridge is:

d_1 =2 \times d_I

d_1 =2 \times 3ft

d_1 =6ft

There are 5 spaces between the I-beams

So, the length of the total spaces is:

L_2 = 5 \times b

L_2 = 5b

The total length is:

Length = L_1 + d_1 + L_2

So, we have:

4.5ft + 6ft + 5b = 55ft\ 6in

Collect like terms

5b = 55ft\ 6in - 4.5ft - 6ft

5b = 44.5ft\ 6in

Convert inches to feet

5b = 44.5ft\ + \frac{6}{12}ft

5b = 44.5ft\ + 0.5ft

5b = 45ft

Divide both sides by 5

b = 9ft

<em>Hence, the distance (b) between each beam is 9ft.</em>

Read more about lengths at:

brainly.com/question/22059747

You might be interested in
Solve. Write the solution in interval notation. -2x&gt;-8 and -5x&lt;20.
Novosadov [1.4K]

Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

   must reverse the symbol of the inequality

- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

  inequality will be -2 < -3 and this is completely wrong, so we must

  reverse the symbol of the inequality

∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

- Divide both sides by -2 and remember to reverse the symbol of the

  inequality

∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

  inequality

∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

 ( , ) if x does not equal the end numbers

 [ , ] if x equals the end numbers

 [ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

4 0
3 years ago
HELP!!! BRAINLIEST ANSWER!!!!!!
Vadim26 [7]
So the answers are :

A: 5 seconds 

and 

B: 10 seconds 

3 0
3 years ago
Read 2 more answers
Which of the following equation is true ?
VLD [36.1K]
The last one

Hope this helps
3 0
2 years ago
Read 2 more answers
What is the expression 4(3+2) called
Anna71 [15]
An Algebraic Expression

Hope you have a great day!
3 0
3 years ago
Given that RT ≅ WX, which statement must be true?
Wittaler [7]

Answer:RT is congruent to WX

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Graph in Standard form. 5x -10y = 20
    14·1 answer
  • I need help<br><br><br><br><br> can u sub<br><br><br> 1+2=
    7·1 answer
  • The temperature is-2 degrees Celsius. If the temperature rises by 15 degrees Celsius, what is the new temperature?
    8·1 answer
  • The lateral surface area of a right square pyramid is given by s - 82.492. If the pyramid has height 10 feet and lateral surface
    15·1 answer
  • Which lines are perpendicular to the line y - 1 = 1(x+2)? Check all that apply.
    11·1 answer
  • PLEASE, I NEED HELP!!!!<br> MATHS!!!
    11·1 answer
  • Find the amplitude and period FAST
    7·1 answer
  • Help please: Select all statements that are true about the linear equation. y = 1/2x - 2​
    10·1 answer
  • Find the quotient<br> 75a⁴b+75ab/3ab
    11·1 answer
  • A car completes a journey in 12 hours at an average speed of 52 km/h.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!