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tangare [24]
3 years ago
6

The sum of a number and 24 times its reciprocal is 11. Find the numbers

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0
X+24*(1/x)=11
x+24/x=11
x²+24=11x
x²-11x+24=0
(x+3)(x-8)=0
x=-3, x=8
checking : 8+24*(1/8)=11, 8+3=11 correct
-3+24*(1/-3)=-3-8=-11 incorrect
number is 8, reciprocal is 1/8
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D is between C and E, CD = x 2 , CE = 32-2x, and DE = 12x. Find CD, DE, and CE.
Gemiola [76]

Answer:

  • CD = 4
  • DE = 24
  • CE = 28

Step-by-step explanation:

The segment addition theorem tells you ...

  CD +DE = CE

  x^2 +12x = 32 -2x

Subtract the right side to put this in standard form.

  x^2 +14x -32 = 0

  (x +16)(x -2) = 0

  x = -16 or 2

In order for DE to have a positive length, we must have x > 0. So ...

  CD = x^2 = 2^2 = 4

  DE = 12x = 12(2) = 24

  CE = 32 -2x = 32 -2(2) = 28

3 0
3 years ago
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Evgesh-ka [11]

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Step-by-step explanation:

7 0
2 years ago
Solve -5(3n + 4) = 40.
Sveta_85 [38]
N=-4
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3 0
2 years ago
Paper clips are sold in boxes of 1000.
belka [17]

Answer:

6.5%

Step-by-step explanation:

1000 in a box and he orders 5 boxes.

1000x5= 5000

So he orders 5000 paper clips

1 box is £15.40 and he order 5, so £15.40x5= £77

£77 is between £55 and £79.99 so he will get 6.5% discount.

After the discount he will pay  £71.99

8 0
3 years ago
Use the Associative Property of Addition to find the total of 4, 12, and 18 in two different ways.
Alex Ar [27]
4, 12, and 18 in two different ways

<span>(4 + 12) + 18 = 16 + 18 = 34
 
4 + (12 + 18) = 4 + 30 = 34

answer is B) </span><span>(4 + 12) + 18 = 16 + 18 = 34; 4 + (12 + 18) = 4 + 30 = 34 (second choice)</span>
6 0
3 years ago
Read 2 more answers
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