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Alexus [3.1K]
2 years ago
11

The fraction 5/6 is found between which pair of fractions on a number line?

Mathematics
1 answer:
siniylev [52]2 years ago
4 0

Answer:

B- 7/12 and 17/18

Step-by-step explanation:

Get the fractions under a common denominator.

  • A: 1/3=6/18. 5/6=15/18. 4/9=8/18.
  • B: 7/12=21/36. 5/6=25/36. 17/18=34.
  • C: 11/12=33/36. 5/6=25/36. 31/36=31/36.
  • D: 1/4=6/24. 5/6=20/24. 5/8=15/24.

Out of A, B, C, and D– only B works.

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The sum of 5 consecutive integers is 205. What is the third number?
Elza [17]
If 5 consecutive integers is 205,

then a + b + c + d + e = 205
 but also, each integer is separated  by a difference of 1

⇒  a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒  5a + 10 = 205
⇒            5a = 195
⇒               a = 39

∴ third term = 39 + 2
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2 years ago
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2 years ago
Read 2 more answers
I really need help. Any help is appreciated.
finlep [7]
The equation is:
f ( x ) = 4 * 5 ^{2x}
f ( - 1 ) = 4 * 1/25 = 4/25 ( false )
f ( 0 ) = 4 * 1 = 4 ( false )
f ( 1 ) = 4 * 25 = 100 ( false )
f ( 2 ) = 4 * 5 ^4 = 4 * 625 = 2500  ( correct )
Answer:
D )  ( 2,  2500 )
4 0
2 years ago
Triangle ABC has the angle measures shown.
larisa [96]

Answer:

m∠A = 20°

Step-by-step explanation:

Triangle ABC has the following angle measures:

  • m∠A = 2x°
  • m∠B = 5x°
  • m∠C = 11x°

We know that the addition of the angles of a triangle makes 180°, therefore:

m∠A + m∠B + m∠C = 180°

Replacing with data and solving for x:

2x + 5x + 11x = 180

18x = 180

x = 180/18

x = 10°

Which makes the angles:

m∠A = 2*10 = 20°

m∠B = 5*10 = 50°

m∠C = 11*10 = 110°

7 0
2 years ago
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Tatiana [17]
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4 0
3 years ago
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