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
Rufina [12.5K]
3 years ago
5

Ewan is building a maze for his pet rats out of 2x4s. He needs two pieces that are 2 ¾ feet long, one that is 3.5 feet long and

two that are 1 5/8 feet long. Ewan can buy wood that is 84 inches long at $2.35 per board, 96 inches long that costs $3.60 for each board, or a 10 foot board, for $4.61.
Mathematics
1 answer:
Hatshy [7]3 years ago
4 0

2 pieces at 2 3/4 feet is 2 x 2 foot 9 inches = 5 foot 6 inches

1 piece that is 3.5 feet is 3 feet 6 inches

2 pieces that are 1 5/8 feet are 2 x 1 foot 7 1/2 inches = 3 feet 3 inches

I think there should be more to the question. If you are looking for the best combination to buy it would be two 7 foot boards

You might be interested in
The ranger of the function x2+2x-8is allá
allsm [11]

Answer:

\mathrm{Range\:of\:}x^2+2x-8:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-9\:\\ \:\mathrm{Interval\:Notation:}&\:[-9,\:\infty \:)\end{bmatrix}

Step-by-step explanation:

As the function is

x^{2} +2x-8

As we know that domain is the set of input values for which the function is defined.

Therefore,

\mathrm{Domain\:of\:}\:x^2+2x-8\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

And range is defined as:

The set of the dependent variable for which the function is defined.

As

\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)

\mathrm{If}\:a

\mathrm{If}\:a>0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v

a=1,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(-1,\:-9\right)

f\left(x\right)\ge \:-9

Therefore,

\mathrm{Range\:of\:}x^2+2x-8:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-9\:\\ \:\mathrm{Interval\:Notation:}&\:[-9,\:\infty \:)\end{bmatrix}

The graph is also attached below.

Keywords: graph, domain, range

Learn more about domain and range from brainly.com/question/13856645

#learnwithBrainly

8 0
3 years ago
Proof by induction on the number of horses: Basis Step. There is only one horse. Then clearly all horses have the same color. In
Novosadov [1.4K]

Answer:

Claiming mathematical induction, of the statement: "all horses are the same color", the theorem is a counterfeit paradox sustained by mistaken  demonstrations.

Step-by-step explanation:

”that is a horse of a different  color” was a familiar expression in the middle of the last century, meaning that something is quite different from normal or common expectation, but George Polya, a great mathematician provided proof that there is no horse of a different color:

Theorem: "All horses are the same color"

Proof (by induction on the number of horses):

- Base Case: P(1) is undoubtedly true, as having only one horse, then all horses have the same color.

- Inductive Hypothesis: Assume P(n), which is the statement that n horses all have the same color.

- Inductive Step: Given a set of n+1 horses {h1,h2,...,hn+1}, we can eliminate the last horse in the serie  and use the inductive hypothesis onlky to the first n horses {h1,...,hn}, deducing that they all have  the same color. The same way, the conclusion may be that the last n horses {h2,...,hn+1} all have the same  color. But the “middle” horses {h2,...,hn} (i.e., all but the first and the last) belong to both of  these series, so they have the same color as horse h1 and horse hn+1. It follows, therefore, that all n+1  horses have the same color. Therefore, using the principle of induction, all horses have the same color.

It is clear that, it is not true that all horses are of the same color, so where is the mistake in our induction  proof? It is tempting to blame the induction hypothesis. But even though the induction hypothesis is false  (for n ≥ 2), that is not the mistaken reasoning. The real flaw in the proof is that the induction step is valid for a “typical”  value of n, say, n = 3. The flaw, however, is in the induction step when n = 1. In this case, for n+1 = 2  horses, there are no “middle” horses, this makes the argument to collapse.

7 0
3 years ago
∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
Rama09 [41]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The vertex B is at (1, 5), then vertex B' is at (-2, 11).

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.

The vertex A is at (-1, 2), then vertex A' is at,

A' = (-1-3, 2+6) = (-4, 8)

The vertex B is at (1, 5), then vertex B' is at,

B' = (1-3, 5+6) = (-2, 11)

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

5 0
2 years ago
Please help ASAP!!! will give out brainiest!!!
Phantasy [73]

Answer:

5 miles

Step-by-step explanation:

if you do divide 26,400 by 5,280 the answer you would get would be five so for each mile you do it would all equal up to 5,280. Also to check your answer  5,280 times 5 is 26400

6 0
3 years ago
Simplify the expression. Write your answer as a power. 810⋅84<br> The simplified expression is?
Alinara [238K]
68040 or 10^4 x 6.8040
7 0
3 years ago
Other questions:
  • Many practical applications require calculations of area. Some of these calculations are straightforward, but others are more di
    14·1 answer
  • Which problem can be solved by finding 48 ÷ 8?
    11·1 answer
  • Use the function below to find F(-4).<br><br> F(x) = 2^x
    13·2 answers
  • Which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)
    7·1 answer
  • Isaiah has $145 in his savings account. He earns $36 a week mowing lawns.
    8·1 answer
  • Put the following into vertex form: y=-2x^2+4x+6
    12·1 answer
  • Angle a measure 28 measure and angle b measure 74 what is is the measure of angel F
    10·2 answers
  • Add the areas of the 4 shapes to find the total area of the
    13·1 answer
  • Help!!!!!!!!!!! Me now!!!!!!!!!!
    7·2 answers
  • Graph the data in the table
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!