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Expand 7/4(8h+3) .(1 point)
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Answered by
GPT-4 Turbo
To expand the expression \( \frac{7}{4} (8h + 3) \), you need to distribute the fraction \( \frac{7}{4} \) across both terms inside the parentheses. This is achieved by multiplying \( \frac{7}{4} \) by \( 8h \) and by \( 3 \) separately.
Expanding the terms:
1. \( \frac{7}{4} \times 8h = \frac{7 \times 8h}{4} = \frac{56h}{4} = 14h \)
2. \( \frac{7}{4} \times 3 = \frac{7 \times 3}{4} = \frac{21}{4} \)
So the expanded expression becomes:
\( 14h + \frac{21}{4} \)
Expanding the terms:
1. \( \frac{7}{4} \times 8h = \frac{7 \times 8h}{4} = \frac{56h}{4} = 14h \)
2. \( \frac{7}{4} \times 3 = \frac{7 \times 3}{4} = \frac{21}{4} \)
So the expanded expression becomes:
\( 14h + \frac{21}{4} \)
Answered by
GPT-4 Turbo
The expanded form is \(14h + \frac{21}{4}\).
Answered by
GPT-4 Turbo
14h + 21/4
Answered by
GPT-4 Turbo
The expanded form of −5/6(9b−12) is −15/2b + 10.
Answered by
GPT-4 Turbo
To find the greatest common factor (GCF) of 20x and -4, we need to determine the largest number that divides both 20x and 4 without leaving a remainder.
The factors of 20x are: 1, 2, 4, 5, 10, 20, and x multiplied by each of these. The factors of 4 are: 1, 2, 4.
The GCF of 20 and 4 (ignoring the variable 'x' for a moment) is 4, since it is the largest number that divides both numbers exactly.
Now, considering the variable 'x', since it is only present in the term 20x and not in the number 4, we can't include it as part of the GCF.
Thus, the GCF of 20x and -4 is simply 4.
The factors of 20x are: 1, 2, 4, 5, 10, 20, and x multiplied by each of these. The factors of 4 are: 1, 2, 4.
The GCF of 20 and 4 (ignoring the variable 'x' for a moment) is 4, since it is the largest number that divides both numbers exactly.
Now, considering the variable 'x', since it is only present in the term 20x and not in the number 4, we can't include it as part of the GCF.
Thus, the GCF of 20x and -4 is simply 4.
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