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andreev551 [17]
2 years ago
14

julie will build a rectangular pen for her dog against a barn. A wall from the barn will from one side of the pen. She has 32m o

f fencing to form the other three sides. She plans to build the pen so that it has its maximum possible area. What will be the dimensions of julie's pen?
Mathematics
2 answers:
Scorpion4ik [409]2 years ago
5 0
The answer is 8 m by 16 m. I just answered this on my quiz.
charle [14.2K]2 years ago
3 0

the answer is 8 and 16

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Please help me! Don't answer unless you are SURE that the answer is right, please! Will give 25 points.
Veronika [31]

the first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42

question 3

Answer:

80 + 65x ≤ 425

Step-by-step explanation:

First of all we know that the 425 must be greater than or equal to the other side, so the symbol to show that would be ≤. We also know that the forklift is a fixed price by the words 'each day'. And the to hire a single crew member would be $65 unless there are more crew workers, which would be multiplied with the 65.

question 4

Jimthompson5910Expert

Part A

Yes y is a function of x. Specifically the equation is y = x^5

For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1

Notice how if x = -1 then y = x^5 = (-1)^5 = -1

Notice how if x = -2 then y = x^5 = (-2)^5 = -32

Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,

x^5 = x*x*x*x*x

there are five copies of x multiplied

A more specific example

3^5 = 3*3*3*3*3

there are five copies of '3' multiplied

=====================================================

Part B

All we do is replace x with 4 and use PEMDAS to simplify

f(x) = 2x+12

f(4) = 2(4)+12

f(4) = 8+12

f(4) = 20

The value of f(4) is 20

What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20. 

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up

The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12

In total, variableCost+fixedCost = 8+12 = 20 = totalCost

5 0
2 years ago
Juliet is selling photographs as part of a project for her entrepreneurship class. She sells the first 20 photographs for 15 eac
garik1379 [7]

Answer:

The correct option would be B) 20

Step-by-step explanation:

Consider the complete question is,

"Juliet is selling photographs as part of a project for her entrepreneurship class. She sells the first 20 photographs for 10 each, because the first 20 photographs sold quickly, she raised the price of the photograph to 15 each for the rest of the project. After her expenses, Juliet earns a profit of 80% of the revenues from her sales. What is the least number of photographs she must sell for the rest of the project to earn a profit of at least $400"

Now,  80% of sales = profit

\implies \text{Sales}=\frac{100\times Profit}{80}

If, Profit =  $400

\text{Sales}=\frac{100\times 400}{80}=\$ 500

∵ 20 photographs are sold for 10 each,

Since, revenue in first selling = 20 × 10 = $ 200,

Let she must sold x photographs for the rest of the project,

∵ price of each photograph in second selling = $ 15,

So, revenue in second selling = x × 15 = $ 15x,

Thus, total sales = 200 + 15x

⇒ 200 + 15x = 500

⇒ 15x = 500 -  200

⇒ 15x = 300

⇒ x = 20

Therefore, she must sell 20 photographs for the rest of her project.

i.e. OPTION B) is correct.

7 0
1 year ago
Assess the extent to which bad road use has a direct impact on the physical,emotional,social,and economic aspects to the family
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It is true that bad road condition does have a direct impact on the physical, emotional and economic aspects to the family, the community and the country. Bad roads can cause accidents which directly impacts a person physically. Mentally it is very stressful for a person to drive on bad roads. He or she has to be extra careful regarding potholes and other damages that have happened to the road. Economically bad roads can be the reason for price rise of products as time required to move a product via road is more. Also the cost of transport increases drastically.



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Check Hathaway they will
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If x2 + mx + m is a perfect-square trinomial, which equation must be true?
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X² + mx + m A perfect square trinomial is where:x² - is the square of the first term binomialmx - is twice the product of the binomials first and last termm - is the square of the last term binomial
x² + mx + m = (x + 1)²
(x + 1)² ⇒ (x+1)(x+1) = x(x+1) +1(x+1) ⇒ x² + x + x +1 = x² + 2x + 1
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2 years ago
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