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Studentka2010 [4]
3 years ago
10

What is the length of the figure?

Mathematics
1 answer:
nadezda [96]3 years ago
4 0
There are two ways to do this. One is by adding up the squares, which takes a while. The other way is if you notice that the length along the bottom is the same as that long the top, and the same is true for the sides. While it does not appear this way at first, imagine that that was the floor plan of a house. If you looked at it from the side, you wouldn't see the dent in the corner, only one side. Since the length of the top is 13 units, from -7 to 6, and the side is also 13 units, from -6 to 7, the answer is 13*2 + 13* 2 = 26 + 26 = 52

52 units long.
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43 coins, no nickels, $4.51 equal amount amount of pennies and dimes, how many of each coin
Sonbull [250]
Set up
Let the dimes = d
Let the pennies = p
Let the quarters = q

Equations
You cannot mean that the pennies and dimes have equal numbers. That would mean that each had 21.5 members. Now could you mean that the dime and penny amount could be the same with 43 coins that total 4.00. Four dollars means that you need 40 dimes alone. It must mean that you are including quarters. 

p + d + p = 43          (1)
p = d                        (2)
p +10d +25q = 451  (3)

Note how this last equation = was derived. You have to multiply the dimes by 10 and he quarters by 100 and the total by 100 to get the numbers all in pennies.

Put the results of 2 into 1.
2p  + q = 43                   (4)  
You need to modify equation 3 as well.
p + 10p + 25q = 451
11p + 25q  = 451           (5)

Solve the new equations
2p +  q = 43               (4)
11p + 25q = 451        (5)

Multiply 4 by 25
25(2p- + q = 43)
50p + 25q = 1075     (6)  Subtract (5) from (6)
<u>11p + 25q = 451
</u>39p = 624                        Divide by 39
p = 624 / 39
p = 16

Since the pennies and dimes are equal there are 16 dimes
p + d + q = 43
16 + 16 + q = 43
32 + q = 43
q = 11

Check
16 + 10*16 + 11*25 = ?
16 + 160 + 275  = ?
451 = ?

Nice problem. Thanks for posting.
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3 years ago
Please i need this for hwk<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3n%2B5%7D%7B3n%7D-%5Cfrac%7Bn%7D%7Bn-1%7D" id="Te
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<h2>ANSWER : </h2>

<h2>» 14n-6/3 </h2>

refer to the above attachment ↑

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Pls solve fast ! I’m begging you ! The lesson is operations on functions
Oliga [24]

Step-by-step explanation:

1a. Just add both of them.

8x - 3 + 4x + 5 = 12x + 2

1b. We just subtract both of the functions.

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1c.

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1d.

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