Simplify −5+34(8h+12)−10h .(1 point)
To factor 24n - 32 using the greatest common factor (GCF), let's first find the GCF of 24 and 32.
First, write the prime factorization of both numbers:
24 = 2^3 * 3
32 = 2^5
The common factors are 2^3, so the GCF is 2^3 = 8.
Now, divide each term by the GCF of 8:
(24n / 8) - (32 / 8)
This simplifies to:
3n - 4
Therefore, the factored form of 24n - 32 using the GCF is 3n - 4.
wrong
I apologize for the mistake. Let's try simplifying the expression again:
-5 + 34(8h + 12) - 10h
First, distribute 34 to both terms inside the parentheses:
-5 + 272h + 408 - 10h
Next, combine like terms:
(272h - 10h) + (408 - 5)
262h + 403
Simplify −5+3/4(8h+12)−10h .(1 point)
-5 + 3/4(8h + 12) - 10h
First, distribute 3/4 to both terms inside the parentheses:
-5 + 3/4(8h) + 3/4(12) - 10h
Next, simplify the fractions:
-5 + 6h + 9/4 - 10h
Combine like terms:
(6h - 10h) - 5 + 9/4
-4h - 5 + 9/4
Finally, simplify the remaining fraction:
-4h - 20/4 + 9/4
-4h - 11/4
this is still wrong bot
Factor 24n−32 using the GCF.(1 point)
To simplify the expression −5+34(8h+12)−10h, you should first perform the operations inside the parentheses. Here's the step-by-step process:
1. Distribute the 34 to both terms inside the parentheses:
−5 + 34 * 8h + 34 * 12 − 10h
2. Simplify the expression inside the parentheses:
−5 + 272h + 408 − 10h
3. Combine like terms:
(272h - 10h) + (-5 + 408)
4. Simplify the h terms:
262h + (-5 + 408)
5. Simplify the constants:
262h + 403
Therefore, the simplified expression is 262h + 403.
-5+34(8h+12)-10h
First, distribute 34 to both terms inside the parentheses:
-5 + 272h + 408 - 10h
Next, combine like terms:
272h - 10h - 5 + 408
262h + 403
Apologies for the incorrect response. Let's simplify the expression again:
-5 + 3/4(8h + 12) - 10h
First, distribute 3/4 to both terms inside the parentheses:
-5 + 3/4(8h) + 3/4(12) - 10h
Next, simplify the fractions:
-5 + 6h/4 + 9/4 - 10h
Combine like terms:
(6h/4 - 10h) - 5 + 9/4
6h/4 - 10h - 20/4 + 9/4
Next, simplify the fractions:
(6h - 40 + 9) / 4
(6h - 31) / 4
Therefore, the simplified expression is (6h - 31) / 4.