They just told me to answer a bunch of questions sorry i dont know this best of luck tho !
The gcf of 64 and 16 is16
I assume you mean the product of mixed numbers,
3 1/2 × 3 1/2
If we write this as
(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²
we can use the identity
(a + b)² = a² + 2ab + b²
so that
3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²
3 1/2 × 3 1/2 = 9 + 3 + 1/4
3 1/2 × 3 1/2 = 12 1/4
Alternatively, we can first write 3 1/2 as a mixed number:
3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2
Then
3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4
and
49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4
Based on the number of songs in each genre that Josiah listened to, the statements about his solution that are true are:
- He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
- He did not multiply the numerator and denominator by the correct number to equal 1,500.
- He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.
<h3>What did Josiah do wrong?</h3>
To find the average of the number of rock songs, he should have taken the average of rock songs he listened to which were 4 and 6:
= (4 + 6) / 2
= 5
Because he has a total of 1,500 songs on his player, he should have multiplied both the numerator and denominator by a number that would lead to 1,500 which is 75 and not 30.
Find out more on averages at brainly.com/question/13832161.
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