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crimeas [40]
3 years ago
7

Keiko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59.98 and costs an

additional $0.14 per mile driven. The second plan has an initial fee of $73.98 and costs an additional $0.10 per mile driven. How many miles would Keiko need to drive for the two plans to cost the same?
Mathematics
1 answer:
Zinaida [17]3 years ago
5 0
I think that they would never cost the same because I graph them and they. Never did intereect
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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
Write the expanded form and standard form of this number in the box below:
MrMuchimi

Answer:

4,567,9361

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Plz answer as soon as possible
Mamont248 [21]
THE FIRST ONE AND THE LAST ONE
3 0
3 years ago
Seth bought a 12 - ounce jar of peanut butter for $3.60. What is the unit price?
allochka39001 [22]

Since the jar is 12 ounces, we want to find the price when it is one ounce. We do this by dividing the price, $3.60, by 12:

3.60/12 = 0.3

So, the answer is $0.30/oz, or (B).

4 0
3 years ago
Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
Dmitry [639]

Answer:

54.6

Step-by-step explanation:

42 =  70%

100% - 70% = .30%

42 x 1.3 = 54.6

 

5 0
3 years ago
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