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OverLord2011 [107]
3 years ago
8

A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2

by 4 boards at this lumber yard?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Complete Question:

Here is the complete question:

<em>A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2 by 4 boards at this lumber yard?</em>

<em>2 × 4 BOARD PRICES </em>

<em>8 foot board for $2.95 </em>

<em>10 foot board for $3.15 </em>

<em>12 foot board for $4.10 </em>

<em>16 foot board for $5.80 </em>

<em>20 foot board for $6.95</em>

Step-by-step explanation:

  • 8 foot board for $2.95

         \frac{2.95}{8}= 0.36875

  • 10 foot board for $3.15

        \:\frac{3.15}{10}=0.315

  • 12 foot board for $4.10

        \frac{4.1}{12}=0.341

  • 16 foot board for $5.80

        \frac{5.8}{16}= 0.3625

  • 20 foot board for $6.95

        \frac{6.95}{20}= 0.3475

Therefore, <em>10 foot board for $3.15</em><em>  </em>is the best deal available on 2 by 4 boards at this lumber yard. It means  you should be able to get 1 board for $0.315 when you buy 10 boards.

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a goat tethered to a stake by a rope has grazed the meadow over an area of 12.56msqare around it stretching the rope. i) what is
Nikolay [14]

Answers:

length of rope = 2 meters

perimeter of meadow = 12.56 square meters

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

Explanation:

Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r

The area of the circle is pi*r^2 which is equal to 12.56 square meters

pi*r^2 = 12.56

3.14*r^2 = 12.56

r^2 = 4

r = sqrt(4)

r = 2

The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.

The perimeter of the circle is the same as the circumference

circumference = 2*pi*r

circumference = 2*pi*2

circumference = 4*pi

circumference = 4*3.14

circumference = 12.56

The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.

So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.

Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits

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Answer:

E. FD<DE<EF

Step-by-step explanation:

First I needed to find the other angle which I found by adding the two angles that were given.

103 +14 =117

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then to find which sides were the longest I looked and the angles and found their corresponding sides.

<D went with side FE

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The smallest angle was <E therefore the smallest side was FD

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Noel bought a 10 ounce box of cereal for $1.63 What was the cost per ounce?
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Please help. Marika is training for a race.
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Let's call n the number of days Marika's been training for the race, and a_n the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so


a_1=100


On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:


a_2=100 + 4\\a_3=100 + 4 + 4\\a_4=100+4+4+4


It would be easier to write this continued addition as multiplication, in which case those same equations would look like


a_2 = 100 + 4(1)\\a_3 = 100 + 4(2)\\a_4=100+4(3)


Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that a_1=100+4(0). In general, we can say that


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Which is expressed by option B.


(Bonus: What piece of information from this question did we not need to use here?)

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Download pdf
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