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2 years ago

Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.

Mathematics

1 answer:

coldgirl [10]2 years ago

6 0

Answer:

Tamara incorrectly factored the whole expression.

Step-by-step explanation:

Note that

•21x=3·7·x;

•56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.

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A survey of 600 randomly selected employees in Company X found that 150 of them completed web analytics training. If there were

Helga [31]

Answer:

The approximate number of employees who completed web analytics training are 245 .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

A survey of 600 randomly selected employees in Company X found that 150 of them completed web analytics training.

Part value = 150

Total value = 600

Putting in the above formula

$Percentage = \frac{150\times 100}{600}$

$Percentage = \frac{15000}{600}$

Percentage = 25%

Thus this shows that 150 employees who completed web analytics training from 600 employees are 25% .

As given

If there were 980 employees in the company .

Total value = 980

Percentage = 25%

Putting all the values in the formula

$25 = \frac{Part\ value\times 100}{980}$

$Part\ value= \frac{980\times 25}{100}$

$Part\ value= \frac{24500}{100}$

Part value = 245

Therefore the approximate number of employees who completed web analytics training are 245 .

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mihalych1998 [28]

Answer:

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Step-by-step explanation:

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