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BaLLatris [955]
3 years ago
15

2/(x+1)-2/(x+1)+4/(x^2+1)​

Mathematics
1 answer:
Scilla [17]3 years ago
4 0
4x^2+4 should be your answer.
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There are some caps in a box. 1/6 of them are red, 1/3 are blue, and 3/7 of the remainder are green. If there are 27 green caps,
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\frac{1}{6}x+\frac{1}{3}x+\frac{3}{7}(x-(\frac{1}{6}x+\frac{1}{3}x))=x\\\frac{3}{7}(x-(\frac{1}{6}x+\frac{1}{3}x))=27\\\frac{3}{7}(x-(\frac{1}{2}x))=27\\\frac{3}{7}(\frac{1}{2}x)=27\\x=126

126 caps
5 0
3 years ago
Your cell phone costs $50 a month plus $0.25 for each text message, (t). How much would your monthly bill be if you sent 40 text
aalyn [17]

Answer:

$60

Step-by-step explanation:

40 text messages × .25 each = $10. Plus the $50 per month is $60.

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2 years ago
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In the triangles, and . Which statement correctly compares the angles? Angle G is congruent to angle P. Angle G is smaller than
GalinKa [24]

Answer: angle g

Step-by-step explanation:   Angle G is smaller than angle P. Angle G is larger than angle P. Angle G is congruent to angle N. 2 Consider the triangle.

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3 years ago
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(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a -
AveGali [126]

Answer:

3 (a + 5b) + a (a + 4)  = a^2 + 7a + 15b

y (10 - y) + 3 (y - 2)  = - y^2+13y - 6

2 (8a - 5b) + 3 (5a - 12)  = 31a -10b  - 36

3 (y - 3) + ( 8 - 6y + x) = -3y + x-1

a (a - 2b) + b (b + 2a - c) =a^2  + b^2  - bc

5 (x - y + z) + (4x + 3y) =9x - 2y +5z

Step-by-step explanation:

Solving (i):

3 (a + 5b) + a (a + 4)

Open brackets

3 (a + 5b) + a (a + 4)  = 3a + 15b + a^2 + 4a

Collect like terms

3 (a + 5b) + a (a + 4)  = a^2 + 4a+3a + 15b

3 (a + 5b) + a (a + 4)  = a^2 + 7a + 15b

Solving (ii)

y (10 - y) + 3 (y - 2)

Open bracket

y (10 - y) + 3 (y - 2)  = 10y - y^2 + 3y - 6

Collect like terms

y (10 - y) + 3 (y - 2)  = - y^2+10y  + 3y - 6

y (10 - y) + 3 (y - 2)  = - y^2+13y - 6

Solving (iii)

2 (8a - 5b) + 3 (5a - 12)

Open bracket

2 (8a - 5b) + 3 (5a - 12)  = 16a -10b + 15a - 36

Collect like terms

2 (8a - 5b) + 3 (5a - 12)  = 16a+ 15a -10b  - 36

2 (8a - 5b) + 3 (5a - 12)  = 31a -10b  - 36

Solving (iv)

3 (y - 3) + ( 8 - 6y + x)

Open bracket

3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x

Collect like terms

3 (y - 3) + ( 8 - 6y + x) = 3y  - 6y + x- 9 + 8

3 (y - 3) + ( 8 - 6y + x) = -3y + x-1

Solving (v):

a (a - 2b) + b (b + 2a - c)

Open bracket

a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc

Collect like terms

a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2  - bc

a (a - 2b) + b (b + 2a - c) =a^2  + b^2  - bc

Solving (vi)

5 (x - y + z) + (4x + 3y)

Open brackets

5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y

Collect like terms

5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z

5 (x - y + z) + (4x + 3y) =9x - 2y +5z  

6 0
3 years ago
Sadie made a rectangular cake. If she wants to cut it into 1/8 portions,how many portions can she cut?
amid [387]

Answer:

  8

Step-by-step explanation:

If each portion is 1/8 of the cake, there are 8 equal-size portions. That is what the denominator of the fraction means.

3 0
3 years ago
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