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ivolga24 [154]
3 years ago
5

Solve #2 with an explanation please

Mathematics
1 answer:
KatRina [158]3 years ago
5 0
The fence is 210 ft long.
There is a post every 3.5 ft.
If you divide 210 ft by 3.5 ft, you get the number of spaces between posts.
(210 ft)/(3.5 ft) = 60
The fence starts with a post. Then there is 3.5 ft of fencing. Then there is another post. Then there is another 3.5 ft of fencing followed by a post. In total there are 61 posts.

Here's another way of thinking of why you end up with 60 posts.
For each 3.5 ft of fencing, you place a post at the end of the fencing.
Since there are 60 3.5-ft-long pieces of fencing, there will be 60 posts, one at the end of each piece of fencing. The first thing that is done is to put the initial post before any fencing is put up. The first post plus 60 more posts add up to 61 posts.

Now that you see why there are 61 posts, we can calculate their cost.
61 * $8.50 = $518.50
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Which shows how the distributive property can be used to evaluate 7x8 4/5?
Yuri [45]

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

5 0
2 years ago
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What is the volume, in cubic meters, of a cylinder with a height of 8 meters and a base radius of 9 meters, to the nearest tenth
sammy [17]
Volume of a cylinder: \pi  r^{2} h

Plug in the numbers.

\pi 9^{2} 8 = <span>2035.8
</span>
The cylinder's volume is 2035.8 m³.
5 0
3 years ago
I need to get the answer to the problem 3(x-4)=12 because I am having trouble solving it
KiRa [710]

Answer:

x = 8

Step-by-step explanation:

3(x-4) = 12

3x - 12 = 12

+ 12         + 12

3x = 24

/ 3     / 3

x = 8

6 0
3 years ago
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Answer:

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Step-by-step explanation:

8 0
2 years ago
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The square ABCD has side length 20 cm,
bogdanovich [222]

Answer:

AE=22.4

Step-by-step explanation:

BE is 1/2 of BC

BC is 20 cm                 All sides of a square are equal

BE = 1/2 BC                  Property of a midpoint.

BE = 10

Now just use Pythagorus

AB^2 + BE^2 = AE^2

AE^2 = 20^2 + 10^2   Perform the sqrs

AE^2 = 400 + 100      Add the terms

AE^2 = 500                Take the square root of both sides

√AE^2 = √500

AE = 22.36

AE ≈ 22.4

6 0
2 years ago
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