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schepotkina [342]
3 years ago
15

Alex needs to varnish the top and bottom of a dozen rectangular wooden planks the planks are 8 feet long and 3 feet wide eavh pi

nt of varnish covers 125 square feet and costs $3.50. what is the total area that alex needs to varnish?
Mathematics
1 answer:
Bingel [31]3 years ago
3 0
You start by finding the total sq ft you need to cover so one board is 8x3 so that's 24 then multiply that by the number of boards which is 12 so you get 288 sq ft you need to cover. Then you divide by 125 which is how much one can could cover and you get 2.3 cans but you can't buy a third of a can do you round up to three. The three cans times the price of 3.50 gives you $10.50 as your final answer
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How to write 2.31818 as a mixed fraction
Elenna [48]

Answer:

2\frac{15909}{5000}

Step-by-step explanation:

To make 2.31818 into a fraction, you must first move it to the numerator and make 1 the denominator.

\frac{2.31818}{1}

And then you multiply it by 10,000 or you can say 10^5

\frac{2.31818}{1}*\frac{100000}{100000}

After you multiply you divide the numerator and denominator by 2.

\frac{231818/2}{100000/2}

And now this equals:

2\frac{15909}{5000}

Hope this helps!

5 0
3 years ago
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
liq [111]

Answer:

-10x + y = 63

Step-by-step explanation:

Let's find the slope of this line.  Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10).  Thus, the slope, m, is m = rise / run = 10 / 1 = 10.

Using the point-slope version of the equation of a straight line, we get

y + 7 = 10(x + 7)

Performing the multiplication results in

y + 7 = 10x  + 70.

Rearranging these terms in the form Ax + By = C, we get:

-10x + y = 63

Check this by substituting -6 for x and 3 for y:

-10(-6) + 3 = 63     This is TRUE

5 0
3 years ago
In an experiment, a fair coin is tossed 13 times and the face that appears (H for head or T for tail) for each toss is recorded.
zalisa [80]

Answer:

1) 1 element

2) 13 elements

3) 22 elements

4) 40 elements

Step-by-step explanation:

1) Only one element will have no tails: the event that all the coins are heads.

2) 13 elements will have exactly one tile. Basically you have one element in each position that you can put a tail in.

3) There are {13 \choose 2} = 78 elements that have exactly 2 tails. From those elements we have to remove the only element that starts and ends with a tail and in the middle it has heads only and the elements that starts and ends with a head and in the 11 remaining coins there are exactly 2 tails. For the last case, there are {11 \choose 2} = 55 possibilities, thus, the total amount of elements with one tile in the border and another one in the middle is 78-55-1 = 22

4) We can have:

  • A pair at the start/end and another tail in the middle (this includes a triple at the start/end)
  • One tail at the start/end and a pair in the middle (with heads next to the tail at the start/end)

For the first possibility there are 2 * 11 = 22 possibilities (first decide if the pair starts or ends and then select the remaining tail)

For the second possibility, we have 2*9 = 18 possibilities (first, select if there is a tail at the end or at the start, then put a head next to it and on the other extreme, for the remaining 10 coins, there are 9 possibilities to select 2 cosecutive ones to be tails).

This gives us a total of 18+22 = 40 possibilities.

5 0
3 years ago
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.
Annette [7]

The most appropriate choice for maxima and minima of a function will be given by

Rectangle of length 72 feet and breadth 36 feet has largest area

What is maxima and minima?

Maxima of function f(x) is the maximum value of the function and minima of function f(x) is the minimum value of the function.

Here,

Let the length be x feet and breadth be y feet

The farmer has 144 feet of fencing

Three of the sides will require fencing and the fourth wall already exists.

So,

x + y + y =1 44

x + 2y = 144

Area of rectangle(A) = xy ft^2

                               = (144 - 2y)y

                               = 144y - 2y^2

\frac{dA}{dy} = \frac{d}{dy}(144y - 2y^2)

     = 144 - 2\times 2y^{2-1}\\144 - 4y

For largest area,

\frac{dA}{dy} = 0

144 - 4y = 0 \\4y = 144\\y = \frac{144}{4}\\y = 36

\frac{d^2A}{dy^2} = \frac{d}{dy}(144 - 4y)\\=0-4\\=-4 < 0

Hence area is maximum

For largest area, y = 36 feet

x = 144 - 2\times 36\\x = 144-72\\

x = 72 feet

So length of rectangle is 72 feet, breadth of rectangle is 36 feet

To learn more about maxima and minima of a function, refer to the link:

brainly.com/question/14378712

#SPJ9

3 0
1 year ago
Find the quotients:. <br><br><br>FINAL WILL MARK BRAINLIEST AND EXTRA POINTS NO LINKS!!​
inessss [21]

\frac{8 {a}^{5} {b}^{3}  }{9 {s}^{4} {y}^{2}  }   \times   \frac{15 {s}^{3} y}{6 {a}^{4}  {b}^{2} }  \\   = \frac{20ab}{9sy}

8 0
3 years ago
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