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andriy [413]
3 years ago
7

BASIC PRACTICEFind the GCF of each pair of numbers.(a) 8 and 12 (b) 18 and 27​

Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

Answer:

4 and 9

Step-by-step explanation:

(a)4×2=8 4×3=12

2 and 3 have no common factors

(b) 9×2=18 9×3=27

2 and 3 have no common factors

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In Cecilia’s CD collection, 1/5 of her Jazz CDs represents 1/10 of all her CDs. What is the ratio of her Jazz CDs to her non-Jaz
KatRina [158]

Answer: The required ratio is 1:1.

Step-by-step explanation:

Let the total number of CDs be 100

\frac{1}{10} of CDs is given by

\frac{1}{10}\times 100\\\\=10

According to question,

\frac{1}{5} of her Jazz CDs represents \frac{1}{10} of all her CDs.

Let the number of Jazz CDs be  x

So, it becomes

\frac{1}{5}\times x=10\\\\x=10\times 5\\\\x=50

So, Number of Jazz's CDs is 50

Number of Jazz non CDs  is given by

100-50=50

Ratio of her CDs to her non- CDs is given by

50:50\\\\1:1

Hence, the required ratio is 1:1.

6 0
3 years ago
Let omega be a complex number such that omega^3 = 1. Find all possible values of {1}{1 + \omega} + {1}{1 + \omega^2}. Enter all
Norma-Jean [14]

Answer:

1 is Answer.

Step-by-step explanation

\frac{1}{1+omega^{2} } + \frac{1}{1+omega }\\

= \frac{(-1)*(omega + 1)}{omega^{2}  }

As we know that ω²+ω+1=0

Thus putting in above equation, we get

= \frac{1}{(-1)*omega } + \frac{1}{(-1)*omega^{2}  }

Rearranging and simplifying:

= \frac{-1}{omega } + \frac{-1}{omega^{2}  }

= \frac{(-1)*(omega + 1)}{omega^{2}  }

= \frac{(-1)*(- omega^{2} )}{omega^{2}  }

= 1 Answer

8 0
3 years ago
Find the volume of this cylinder.<br> Give your answer to 1 decimal point
galina1969 [7]

Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is: V = πr²h

Substitute the values for those variables.

V = π(5.5)²(14)

V = π(30.25)(14)

V = 1330.5

4 0
3 years ago
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Valentin [98]
B and C make sense to me.
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2 years ago
456+213 using the break apart strategy
GalinKa [24]
Fist break up each number in the hundreds column add the tens and the ones then add the hundreds to the previous answer
4 0
3 years ago
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