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
OlgaM077 [116]
3 years ago
8

The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0

Answer:

x = \$28.5

Step-by-step explanation:

Given

Variation: Direct Proportion

3.2m = \$38

Required

Determine the cost of 2.4m length

Represent the cost of 2.4m length with x

So, we have:

3.2m = \$38

and

2.4m = x

Cross Multiply:

3.2m * x = \$38 * 2.4m

3.2 * x = \$38 * 2.4

Solve for x

x = \frac{\$38 * 2.4}{3.2}

x = \frac{\$91.2}{3.2}

x = \$28.5

<em>Hence, the cost of 2.4m length is $28.5</em>

You might be interested in
If you are given the measurements of three angles of a triangle,
earnstyle [38]

Answer:

  B. They will all be similar

Step-by-step explanation:

You can make as many different size triangles as you like. The angles alone do not constrain the size, only the shape. The triangles you make will all be similar.

6 0
3 years ago
Read 2 more answers
Which of the following lines has a slope of -1/3 and a y-intercept of 6? x - 3y = 6 x + 3y = 18 3y - x = 18
erastovalidia [21]
The second choice is correct, but I believe that either its +1/3 ( in the question) or -3y as that will give you the answer of: y=1/3x+6
3 0
3 years ago
Read 2 more answers
Provide an example of optimization problem
Mashutka [201]

Answer:

a. Convex solutions ,GO Methods

b. market efficiency

Explanation :

Step-by-step explanation:

A globally optimal solution is one where there are no other feasible solutions with better objective function values. A locally optimal solution is one where there are no other feasible solutions "in the vicinity" with better objective function values. You can picture this as a point at the top of a "peak" or at the bottom of a "valley" which may be formed by the objective function and/or the constraints -- but there may be a higher peak or a deeper valley far away from the current point.

In convex optimization problems, a locally optimal solution is also globally optimal. These include LP problems; QP problems where the objective is positive definite (if minimizing; negative definite if maximizing); and NLP problems where the objective is a convex function (if minimizing; concave if maximizing) and the constraints form a convex set. But many nonlinear problems are non-convex and are likely to have multiple locally optimal solutions, as in the chart below. (Click the chart to see a full-size image.) These problems are intrinsically very difficult to solve; and the time required to solve these problems to increases rapidly with the number of variables and constraints.

GO Methods

Multistart methods are a popular way to seek globally optimal solutions with the aid of a "classical" smooth nonlinear solver (that by itself finds only locally optimal solutions). The basic idea here is to automatically start the nonlinear Solver from randomly selected starting points, reaching different locally optimal solutions, then select the best of these as the proposed globally optimal solution. Multistart methods have a limited guarantee that (given certain assumptions about the problem) they will "converge in probability" to a globally optimal solution. This means that as the number of runs of the nonlinear Solver increases, the probability that the globally optimal solution has been found also increases towards 100%.

Where Multistart methods rely on random sampling of starting points, Continuous Branch and Bound methods are designed to systematically subdivide the feasible region into successively smaller subregions, and find locally optimal solutions in each subregion. The best of the locally optimally solutions is proposed as the globally optimal solution. Continuous Branch and Bound methods have a theoretical guarantee of convergence to the globally optimal solution, but this guarantee usually cannot be realized in a reasonable amount of computing time, for problems of more than a small number of variables. Hence many Continuous Branch and Bound methods also use some kind of random or statistical sampling to improve performance.

Genetic Algorithms, Tabu Search and Scatter Search are designed to find "good" solutions to nonsmooth optimization problems, but they can also be applied to smooth nonlinear problems to seek a globally optimal solution. They are often effective at finding better solutions than a "classic" smooth nonlinear solver alone, but they usually take much more computing time, and they offer no guarantees of convergence, or tests for having reached the globally optimal solution.

5 0
3 years ago
Jennifer and Joshua meet for dinner at a restaurant. After dinner, Joshua drives 15 miles south while Jennifer drives 12 miles w
Natasha_Volkova [10]

Answer:

19.209 miles from each other.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Using this we get:

{15}^{2}  +  {12}^{2}  =  {x}^{2}

225 + 144 = 369 =  {x}^{2}

\sqrt{369 }  = 19.209

6 0
3 years ago
Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for h
MrRa [10]

Answer: B

Step-by-step explanation:

The second power basically means that you multiply the number by itself that many times depending on the power, and since it's 50^2, the answer is Caleb - 100 | Jenna - 2,500. (Tip: Just multiply 50 x 50)

4 0
3 years ago
Other questions:
  • Find the measure of the angles in the diagram
    14·1 answer
  • Which answer choice represents an equivalent number sentence that uses the distributive property to rewrite "9(3 - 6)"?
    13·2 answers
  • If you go out to eat with three friends and your meal was $72.50 there's a 6.75% sales tax and you should tip the waiter 15%. Ho
    11·1 answer
  • Is this proportional or non proportional ???
    14·1 answer
  • there are 150 students in the marching band, and 30 of them play the trumpet. Which number line represents the percent of the sr
    6·1 answer
  • Q6.
    14·1 answer
  • PLEASE ANSWER I HAVE ONLY A FEW HOURS LEFT!!!!!!!!!!
    6·1 answer
  • Cinco litros de agua se divide en cuatro partes iguales, me tomo 2 partes ¿Cuánto me queda?
    8·1 answer
  • Circle the statement or statements that are not equal to 1.
    9·1 answer
  • 2.<br> A cube has a volume of 7 to the third cubic centimeters. What is its surface area?<br> الم
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!